8th Grade Solving Linear Equations in One Variable Test with Point Values (PDF)

8th Grade math test: Solving Linear Equations in One Variable – Maths PDF

Cover of the book Grade 8 Math Tests with Answer Keys (PDF)

Download as a PDFThe Grade 8 tests book with answer keysPrintable PDFSee the book ›

Sommaire

This grade 8 linear equations test for 8th Grade covers solving linear equations in one variable (Common Core 8.EE.C.7a, 8.EE.C.7b), with a free PDF to print.

This 20-point test checks solving linear equations with variables on both sides and equations with no or infinitely many solutions (Common Core 8.EE.C.7a and 8.EE.C.7b). Work alone, show every step, and write each final answer clearly. You have 45 minutes. Calculators are not needed unless a question says so.

Time and points

About this test

Grade: Grade 8
Chapter: Solving Linear Equations in One Variable
Standards: 8.EE.C.7a, 8.EE.C.7b
Time: 45 minutes
Total: 20 points

Grade 8 linear equations test: questions

Question 1 – Solve [3 pts]

Solve $4x – 9 = 15$. (1 point)
Solve $6x + 4 = 2x + 20$. (2 points)

Question 2 – Distribute [3 pts]

Solve $5(x – 2) = 3x + 8$.

Question 3 – Fractions [2 pts]

Solve $\frac{x}{3} + 2 = \frac{x}{6} + 5$.

Question 4 – Number of solutions [3 pts]

How many solutions does $3(x + 2) = 3x + 6$ have? (1 point)
How many solutions does $2x + 7 = 2x – 1$ have? (1 point)
Explain how you know for part b. (1 point)

Question 5 – Triangle [3 pts]

Angles of a triangle add to 180 degrees.

Find the value of $x$ and the three angle measures.

Question 6 – Rectangle [2 pts]

Perimeter 38 inches.

The perimeter is 38 inches. Find $x$.

Question 7 – Compare plans [3 pts]

Two plans.

Plan A costs \$15 plus \$10 per week. Plan B costs \$15 per week. After how many weeks do the plans cost the same?

Question 8 – Explain [1 pt]

Why does an equation that simplifies to $4 = 4$ have infinitely many solutions?

Key facts behind this grade 8 linear equations test

Key facts

Do the same thing to both sides to keep the equation balanced.
Distribute first, then combine like terms, then collect variable terms.
One solution: $x = \text{number}$. No solution: false statement. Infinitely many: true statement.
Multiply by a common multiple to clear fractions and decimals.
Always check by substituting your answer into the original equation.

How to use this grade 8 linear equations test

Time yourself: the test is designed for an average student in 45 minutes. Answer the questions you are sure of first, then come back to the longer ones and check your units.

All Grade 8 chapters: Grade 8 math.

Voter.. post

Free printable PDF