                                                                                                          Algebra I - Session I


Directions to the Student
          Today you will be taking Session I of the Missouri Algebra I Test. This is a
          test of how well you understand the course level expectations for Algebra I.



There are several important things to remember:
          1 Read each question carefully and think about the answer. Then choose
                the answer that you think is best.

          2 Make sure you clearly mark the correct choice in your test book.
          3 If you do not know the answer to a question, skip it and go on. You may
                return to it later if you have time.
          4 If you finish the test early, you may check over your work.




                                                                                                                          Page 1
Copyright © 2019 by the Missouri Department of Elementary and Secondary Education. All rights reserved.


 Algebra I - Session I


           1.         A system of equations is graphed below.




                      What are the solutions to the system?

                      A. (0, 5.6) and (0, 13)
                      B. (0, 13) and (16, 1)
                      C. (4, 10) and (7, 7.75)
                      D. (16, 1) and (10, 0)




 Page 2
Copyright © 2019 by the Missouri Department of Elementary and Secondary Education. All rights reserved.


                                                                                                          Algebra I - Session I


           2.         Which of the following are factors of the equation when written in
                      factored form? Select all that apply.

                                                             2a2 + 8a – 15 = 3a – 3

                      A. a – 4
                      B. a + 4
                      C. 2a – 9
                      D. 2a – 3
                      E. 2a + 3
                      F. 2a + 9




                                                                                                                        Go On

                                                                                                                          Page 3
Copyright © 2019 by the Missouri Department of Elementary and Secondary Education. All rights reserved.


 Algebra I - Session I


           3.         Kelli recorded the amount of money she earned, y, for hours
                      worked, x, in the table shown. Select the words that correctly
                      complete the sentences.




                      The function is _________.

                                                \ increasing
                                                \ decreasing

                      The function is _________.

                                                \ linear
                                                \ quadratic
                                                \ exponential

                      The y-intercept is _________.

                                                    \ (1, 15)
                                                    \ (0, 1)
                                                    \ (0, 0)




 Page 4
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                                                                                                          Algebra I - Session I


           4.         The table shows the distances that schools will travel to attend a
                      field trip to the state capitol. School 7 has to travel 15 miles. If this
                      outlier is added to the data, which is a true statement about how it
                      changes the data in the table? Select all statements that apply.




                      A. The data is less spread.
                      B. The data is more spread.
                      C. Both the median and the mean change.
                      D. There is no change in the median and mean.
                      E. There is no change in the spread of the data.
                      F. The median stays the same, and the mean changes.
                      G. The median changes, and the mean stays the same.




                                                                                                                        Go On

                                                                                                                          Page 5
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 Algebra I - Session I


           5.         The formula for the area of a trapezoid is A = 12 (b1 + b2)h.
                      Solve for b1. Which equation is a correct value for b1?

                                  (2A − b2)
                      A. b1 =
                                     h

                                   2A − b
                      B. b1 =
                                    h    2




                      C. b1 = A − b2
                              2h
                                    1
                                    2
                                      A   − b2
                      D. b1 =
                                          h




 Page 6
Copyright © 2019 by the Missouri Department of Elementary and Secondary Education. All rights reserved.


                                                                                                          Algebra I - Session I


           6.         The area, in square units, of a rectangle is represented by
                      6x3 − 2x2 + 4x. If the width, in units, is 2x, what is the
                      length, in units?


                      Enter the expression that represents the length, in units,
                      in the box.




                                                                                                                        Go On

                                                                                                                          Page 7
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 Algebra I - Session I


           7.         Which student correctly solved this expression?
                                                                               1       1

                                                                              x3 · x4
                                                                 7

                      A. Jo says the answer is x because the exponents should be added.
                                                                12


                                                                          2

                      B. Kerrie says the answer is x 7 because the exponents should be added.
                                                                      7

                      C. Alex says the answer is x because the exponents should be multiplied.
                                                                     12


                                                                          1

                      D. Tracy says the answer is x 12 because the exponents should be multiplied.




 Page 8
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                                                                                                          Algebra I - Session I


           8.         This is the graph of y = f(x).




                      Which of the following is the graph of y = 2f(x) − 1?




           A.                                                                      C.




           B.                                                                      D.




                                                                                                                        Go On

                                                                                                                          Page 9
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 Algebra I - Session I


           9.         A residual is defined as the difference between the actual value
                      of the dependent variable and the value predicted by the model.
                      Which graph best represents a relationship that minimizes
                      residuals?




                      A.                                                              C.




                      B.                                                              D.




 Page 10
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                                                                                                          Algebra I - Session I


           10.        The ordered pairs in the table are possible solutions to the given
                      equations.

                      Match each ordered pair to the equation for which it is a solution.
                      Ordered pairs may be used more than once.

                                           −2x + 5y = 10                    y = 2(3) x             Neither
                       (−5, 0)
                       (0, −5)
                       (0, 2)
                       (1, 6)




                                                                                                                        Go On

                                                                                                                         Page 11
Copyright © 2019 by the Missouri Department of Elementary and Secondary Education. All rights reserved.


 Algebra I - Session I


           11.        A police department captured 30 speeds on radar and organized
                      their data in the box plot shown.




                      What can be inferred from the data? Select all that apply.​

                      A. The mean is equal to the median.
                      B. The mean is probably less than 30 mph.
                      C. The mean is probably more than 30 mph.
                      D. If an officer captures an additional speed of 70 mph, the mean
                         must change.
                      E. If an officer captures an additional speed of 70 mph, the median
                         must change.




 Page 12
Copyright © 2019 by the Missouri Department of Elementary and Secondary Education. All rights reserved.


                                                                                                          Algebra I - Session I


           12.        Which equation completes the square to create an equivalent to
                      x 2 + 10x + 13 = 0 in the form of (x − p) 2 = q?

                      A. (x − 5)2 = 12
                      B. (x + 5)2 = 12
                      C. (x + 5)2 = 25
                      D. (x − 5)2 = 25




                                                                                                                        Go On

                                                                                                                         Page 13
Copyright © 2019 by the Missouri Department of Elementary and Secondary Education. All rights reserved.


 Algebra I - Session I


           13.        Which of the equations are represented by the graph shown?
                      Select all that apply.




                      A. y = (x − 2)(x − 4)
                      B. y = (x − 3)2 − 1
                      C. y = (x − 3)2 + 1
                      D. y = x 2 − 6x + 8
                      E. y = x 2 + 6x + 8




 Page 14
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                                                                                                          Algebra I - Session I


           14.        The graph of a linear equation is shown.




                      What equation represents the graph shown? In the box, enter an
                      equation that represents the graph.




                                                                                                                        Go On

                                                                                                                         Page 15
Copyright © 2019 by the Missouri Department of Elementary and Secondary Education. All rights reserved.


 Algebra I - Session I


           15.        The quadratic function f(x) is shown in the graph below.




                      If the graph of f(x) is moved left 4 units and down 2 units, what
                      would be the equation for the new graph in vertex form?

                      A. f(x) = (x − 4)2 − 2
                      B. f(x) = (x − 1)2 + 2
                      C. f(x) = (x + 4)2 − 2
                      D. f(x) = (x + 2)2 + 1




 Page 16
Copyright © 2019 by the Missouri Department of Elementary and Secondary Education. All rights reserved.


                                                                                                          Algebra I - Session I


           16.        A car sales business is analyzing the number of cars sold and
                      the average daily high temperature. The data is shown on the
                      graph below.




                      Which statement is correct based on the data?

                      A. The temperature gives no indication of car sales.
                      B. If the temperature is 50, the amount of car sales will definitely be 4 cars.
                      C. The higher temperature is correlated to higher car sales and causes the
                         car sales to increase.
                      D. The higher temperature is correlated to higher car sales, but does not
                         necessarily cause the car sales to increase.




                                                                                                                        Go On

                                                                                                                         Page 17
Copyright © 2019 by the Missouri Department of Elementary and Secondary Education. All rights reserved.


 Algebra I - Session I


           17.        Select the graph that shows the solutions to the system of linear
                      inequalities.

                                                                       y < 2x − 2
                                                                       y > −4x + 4




           A.                                                                      C.




           B.                                                                      D.




 Page 18
Copyright © 2019 by the Missouri Department of Elementary and Secondary Education. All rights reserved.


                                                                                                          Algebra I - Session I


           18.        The following question has two parts. First, answer Part A.
                      Then, answer Part B.

                      Riley needs to save $300 for a computer. She gets an allowance
                      of $10 a week and has already saved $75.

                      Part A

                      How many weeks, x, until Riley will have enough money to buy
                      the computer? Select the correct inequality symbol to model the
                      situation.


                      300 ___ 10x + 75

                             \ >
                             \ <
                             \ =

                      Part B

                      What is the value that is a solution to the situation in Part A?

                      A. 20
                      B. 21
                      C. 22
                      D. 23




                                                                                                                        Go On

                                                                                                                         Page 19
Copyright © 2019 by the Missouri Department of Elementary and Secondary Education. All rights reserved.


 Algebra I - Session I


           19.        The following function was used to calculate the profit generated
                      by selling T-shirts.

                      Let f(x) = 15x − 25 represent the profit function and x represent
                      the number of T-shirts sold. Which statement is true of f(200)?

                      A. It results in 15 and means that 15 T-shirts were sold.
                      B. It results in 15 and means that $15 was made in profit.
                      C. It results in 2,975 and means that 2,975 T-shirts were sold.
                      D. It results in 2,975 and means that $2,975 was made in profit.




 Page 20
Copyright © 2019 by the Missouri Department of Elementary and Secondary Education. All rights reserved.


                                                                                                          Algebra I - Session I


                                                            3
           20.        The equation of function f is f(x) = − x + 120. The domain of
                                                            2
                      function f is 0 ≤ x ≤ 60.

                      Graph function f over its domain. Be sure to include labels and
                      appropriate increments for the axes.




                                                                                                                        Go On

                                                                                                                         Page 21
Copyright © 2019 by the Missouri Department of Elementary and Secondary Education. All rights reserved.


 Algebra I - Session I


           21.        Which of the following relations represent functions?
                      Select all that apply.




                      A.




                      B.




                      C.




                      D. f(x) = 3x + 1




                      E.




 Page 22
Copyright © 2019 by the Missouri Department of Elementary and Secondary Education. All rights reserved.


                                                                                                          Algebra I - Session I


           22.        A student graphs f(x) = x 2 and then graphs g (x) = x 2 + 5.


                      Select the word that correctly completes the sentence.

                      The graph of g(x) will be shifted _____ 5 units from the graph of f (x).

                                                                        \ up
                                                                        \ down
                                                                        \ right
                                                                        \ left




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                                                                                                                         Page 23
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 Algebra I - Session I


           23.        Draw a line from each function type to the function shown
                      in each table.




                          exponential decay                    \                    \          f(x)




                         exponential growth                    \                    \          g(x)




                                    linear                     \                    \          h(x)




                                 quadratic                      \                   \          k(x)




 Page 24
Copyright © 2019 by the Missouri Department of Elementary and Secondary Education. All rights reserved.


                                                                                                          Algebra I - Session I


           24.        Which of the following statements describe the linear model
                      shown? Select all that apply.




                      A. The number of days missed has no correlation to a student’s final
                         exam grade.
                      B. A student with perfect attendance is expected to score approximately
                         98% on the math final.
                      C. A student with perfect attendance is expected to score approximately
                         38% on the math final.
                      D. For each day a student is absent, that student’s final exam score is
                         expected to decrease approximately 6 percentage points.
                      E. For every sixth day a student is absent, that student’s final exam score is
                         expected to decrease approximately 1 percentage point.
                                                                                                                        Go On

                                                                                                                         Page 25
Copyright © 2019 by the Missouri Department of Elementary and Secondary Education. All rights reserved.


 Algebra I - Session I


           25.        Compare f (x) = x2 − 2x − 3 and g (x). Function g (x) is shown
                      below.




                      Match the property with its corresponding function. A property
                      may match one function, both functions, or neither function.



                                               Function f (x)                  Function g (x)             Neither Function
            Minimum of −1
            Minimum of −4
            Zero at −1
            Zero at 1
            Zero at 2
            Zero at 3




 Page 26
Copyright © 2019 by the Missouri Department of Elementary and Secondary Education. All rights reserved.


                                                                                                          Algebra I - Session I


           26.        Which tables represent linear functions? Select all that apply.




                      A.                                                                  D.




                      B.                                                                   E.




                      C.                                                                   F.




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                                                                                                                         Page 27
Copyright © 2019 by the Missouri Department of Elementary and Secondary Education. All rights reserved.


 Algebra I - Session I


           27.        The following question has two parts. First, answer Part A.
                      Then, answer Part B.

                      Johnathan is trying to solve the system of equations:



                                                               y = −2x + 3
                                                                y = 12 x − 2



                      Part A

                      Graph the system of equations.




                      Part B

                      What is the solution to the system?


                      Solution: (                      ,                )



 Page 28
Copyright © 2019 by the Missouri Department of Elementary and Secondary Education. All rights reserved.


                                                                                                          Algebra I - Session I


           28.        The following scatterplots show relationships between two variables.
                      Draw a line from the correct correlation coefficient to each graph.




                         r = 0.80             \
                                                                                           \


                          r = 0.43            \




                         r = –0.14            \
                                                                                           \




                         r = –0.76            \



                                                                                           \




                                                                                           \




                                                                                                                      STOP
                                                                                                                         Page 29
Copyright © 2019 by the Missouri Department of Elementary and Secondary Education. All rights reserved.


                                                                                                          Algebra I - Session II

Directions to the Student
          Today you will be taking Session II of the Missouri Algebra I Test. This is a
          test of how well you understand the course level expectations for Algebra I.



There are several important things to remember:
          1 Read the performance event carefully and think about how to answer
                the question.

          2 Show all of the work that you did to answer the question with a number
                2 pencil. If a box is provided, make sure all of your work is in the box.
                If a line is provided to write your answer on, be sure your answer is on
                the line.

          3 If you do not know the answer to a question, skip it and go on. You may
                return to it later if you have time.

          4 If you finish the test early, you may check over your work.
          5 Write or mark your answers directly in your test book with a number
                2 pencil.




                                                                                                                         Go On

                                                                                                                          Page 31
Copyright © 2019 by the Missouri Department of Elementary and Secondary Education. All rights reserved.


 Algebra I - Session II


                      Tony moved to a new house and wants to install a pool and landscape
                      the yard. He will hire a company to manage the landscaping. Tony is
                      considering hiring Company A or Company B.


                      Company A’s and Company B’s landscaping costs are shown in the
                      tables below.




 Page 32
Copyright © 2019 by the Missouri Department of Elementary and Secondary Education. All rights reserved.


                                                                                                          Algebra I - Session II


1.        Tony is reseeding the front lawn. The lawn covers 2,500 square
          feet and grass seed is $15.98 for each 7-pound bag. Each pound
          of grass seed covers 150 square feet. How much will it cost
          to reseed the lawn? Show all work. Enter the cost and work in
          the box.




                                                                                                                         Go On

                                                                                                                          Page 33
Copyright © 2019 by the Missouri Department of Elementary and Secondary Education. All rights reserved.


 Algebra I - Session II


           2.         The following question has three parts. First, answer Part A.
                      Second, answer Part B. Then, answer Part C.

                      Compare the landscaping costs between Company A and Company
                      B. Let c represent landscaping cost, in dollars, and s the yard
                      size, in square feet.


                      Part A

                      Write an equation to model what it would cost if Company A was
                      hired. Enter the correct equation in the box.




                      Part B

                      Write an equation to model what it would cost if Company B was
                      hired. Enter the correct equation in the box.




                      Part C


                      Which company would cost Tony the least amount to landscape
                      2,500 square feet? Explain your answer. Enter the correct answer
                      and explanation in the box.




 Page 34
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                                                                                                          Algebra I - Session II


3.        At how many square feet will both companies cost the same
          amount? Enter the answer in the box.

                                 square feet




                                                                                                                         Go On

                                                                                                                          Page 35
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 Algebra I - Session II


           4.         Tony is installing a rectangular pool in the backyard. The pool
                      needs to have a length of 10 feet more than the width. The
                      backyard is a square shape with each of the sides measuring 5
                      feet more than 3 times the width of the pool. Write an expression
                      for the area surrounding the pool after the pool is installed. Show
                      your work. Enter the correct expression and work in the box.




                                                                                                          STOP
 Page 36
Copyright © 2019 by the Missouri Department of Elementary and Secondary Education. All rights reserved.


                                                                                                          Algebra I - Session I


Directions to the Student
          Today you will be taking Session I of the Missouri Algebra I Test. This is a
          test of how well you understand the course level expectations for Algebra I.



There are several important things to remember: