Test
Solving systems by elimination
Practise solving systems of equations by elimination through guided questions and word problems. Students learn to identify steps, determine solvable systems by addition, and manipulate equations to eliminate variables at an 8th grade level.
By Edform · Mathematics · Grade 8 · Published Oct 15, 2026 · New
A copy is added to your account. Change it however you like.
Questions
- What is the first step when using the elimination method to solve the system: 2x + 3y = 12 and 4x - 3y = 6?
- Which of the following systems can be solved by directly adding the equations to eliminate one variable?
- Solve for x using elimination: 3x + 2y = 14 and 3x - 2y = 10.
- Fill in the blank: To use elimination, you often need to multiply one or both equations so that the coefficients of one variable are ___ but with opposite signs.
- Choose the correct value: If you add the equations 2x + y = 7 and 3x - y = 8, the result is ___.
- Put the steps for solving a system by elimination in the correct order.
- Match each system to the variable that will be eliminated by adding the equations.
- Sort each system into the variable that can be eliminated by adding the equations.
- For each statement about elimination, select True or False.
- A word problem leads to the system: x + y = 10 and x - y = 2. What are the values of x and y? (Write as x = , y = )
More like this
Worksheet
Solving systems by substitution
This classroom material helps 8th-grade students practice solving systems of equations using substitution by identifying the first steps, solving for one variable, and checking solutions through various example problems. It emphasizes understanding the method and verifying answers through guided exercises.
Mathematics · Grade 8 · New · Oct 15, 2026
Test
Systems of equations quiz
Students practise solving systems of equations using graphing and methods including substitution and elimination, identifying solution types (one, none, or infinitely many) from prompts and multiple-choice/select-all statements. Level: 8th grade.
Mathematics · Grade 8 · New · Oct 28, 2026
Worksheet
One-step equations practice
This material helps 6th-grade students practice solving one-step equations using addition, subtraction, multiplication, or division. Students work through problem sets with varied question types to reinforce understanding of basic algebraic operations.
Mathematics · Grade 6 · New · Oct 15, 2026
Worksheet
Systems of equations by graphing
This material helps 8th-grade students practice solving systems of equations by graphing, focusing on plotting two lines, identifying their intersection, and determining the number of solutions. Students answer questions about intersection points, parallel lines, and the steps involved in graphing to reinforce their understanding.
Mathematics · Grade 8 · New · Oct 15, 2026
Test
Linear equations test
This 8th-grade test helps students practice solving multi-step linear equations, including variables on both sides and word problems, through question types like equations, steps in solution processes, and application problems. It develops skills in algebraic reasoning and problem-solving.
Mathematics · Grade 8 · Used 2 times · Oct 15, 2026
Worksheet
Solving inequalities
Practice solving one- and two-step inequalities with variables on both sides and flipping the inequality sign when multiplying or dividing by a negative number. Includes short sets such as x + 5 < 12, -3x ≥ 12, 2x - 7 ≤ 9, and 5 - x 1. Level: 7th grade.
Mathematics · Grade 7 · New · Oct 28, 2026