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8th Grade Math Test Prep – Linear Equations

8th grade math · test prep · state test style

1. Multiple choice. Circle the correct answer.

1. What is the solution of x/4 + 1 = 3?

a) x = 16b) x = 8c) x = 1/2d) x = 2

2. Ana is x years old, and her dad is 3 times as old. In 5 years, the sum of their ages will be

a) 4x + 10b) 4x + 15c) 3x + 10d) 4x + 5

3. 2(3a − 4) − (a − 5) simplifies to

a) 5a − 3b) 5a − 13c) 7a − 3d) 5a + 1

4. The area of a trapezoid is A = (a + b)h ÷ 2. Solved for h, the formula is

a) h = 2A − (a + b)b) h = 2A ÷ (a + b)c) h = A ÷ (2(a + b))d) h = (a + b)A ÷ 2

5. What is the solution of 3x − 7 = 2x + 5?

a) x = 12b) x = −2c) x = 2d) x = −12

6. What is the value of a² − 2a when a = −3?

a) 3b) −15c) −3d) 15
8th Grade Math Test Prep – Linear Equationswww.sowa.study

2. Circle T if the sentence is true or F if it is false.

When x = 0, the expression 5x − 1 is positive.TF
(a + b)² equals a² + b² for all numbers a and b.TF
x = −1 is a solution of x² = 1.TF
If 2x = 10, then 2x + 7 = 17.TF
2x + 1 = 2x + 3 has exactly one solution.TF

3. Open response. Show your work and write the answer.

3 notebooks and 2 pens cost $19. A pen costs $2 more than a notebook. How much does a notebook cost, and how much does a pen cost? Write an equation and solve it.

Answer:

A mom is 4 times as old as her son. In 6 years, she will be 3 times as old as he will be. How old are they now?

Answer:
8th Grade Math Test Prep – Linear Equationswww.sowa.study

About this worksheet

A linear equations test for 8th grade math test prep: simplifying and multiplying expressions, evaluating expressions, writing an expression for a situation, solving a formula for a variable, equations with one, no or infinitely many solutions and simple systems of two equations. The open-response problems ask for an equation from a word problem. The questions take the forms of end-of-year state math tests: multiple choice, true or false, and open-response problems with room to show the work. Every print draws other multiple-choice and true-or-false questions in another order, and the answer key marks the right answers.

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