6th Grade Solving One-Step Equations Test with Point Values (PDF)

6th Grade math test: Solving One-Step Equations – Maths PDF

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This one step equations test for 6th Grade covers solving one-step equations (Common Core 6.EE.B.5, 6.EE.B.6, 6.EE.B.7), with a free PDF to print.

This 45-minute test has 9 questions worth 20 points. It covers testing solutions, one-step equations with rational numbers, and writing equations for word problems (Common Core 6.EE.B.5, 6.EE.B.6, and 6.EE.B.7). Show your steps.

Time and points

About this test

Grade: Grade 6
Chapter: Solving One-Step Equations
Standards: 6.EE.B.5, 6.EE.B.6, 6.EE.B.7
Time: 45 minutes
Total: 20 points

One step equations test: questions

Question 1 – Solution check [2 pts]

Is 7 a solution of $x + 5 = 12$?
Is 6 a solution of $2x = 14$?

Question 2 – Solve [2 pts]

Solve $x + 8 = 21$.
Solve $x – 5 = 12$.

Question 3 – Solve products and quotients [2 pts]

Solve $6x = 54$.
Solve $\frac{x}{4} = 9$.

Question 4 – Rational numbers [2 pts]

Solve $x + 2.4 = 7.1$.
Solve $\frac{3}{4}x = 6$.

Question 5 – Tape diagram [2 pts]

The whole is 40.

Write the equation shown by the tape diagram and solve it.

Question 6 – Balance [2 pts]

A balanced scale.

The scale is balanced. Write an equation and find n.

Question 7 – Write and solve [2 pts]

Ethan’s reading time.

Ethan reads for m minutes. After he reads 15 more minutes, he has read 50 minutes in all. Write an equation and find m.

Question 8 – Pizza party [3 pts]

A pizza party costs $84 for 7 identical pizzas. Write an equation for the price p of one pizza and solve it. Then find the cost of 10 pizzas at that price.

Question 9 – Two-part problem [3 pts]

Sofia buys a book and a pen. The pen costs $3. Together they cost $11. Write an equation for the price b of the book and solve it. Then find the cost of 4 books at that price.

Key facts behind this one step equations test

Key facts

A solution makes an equation true; check by substituting.
Do the same operation to both sides to keep the equation balanced.
Use the inverse operation: add and subtract, multiply and divide.
Tape diagrams show addition and multiplication equations.
Write an equation from a story by naming the unknown with a variable.

How to use this one step 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 6 chapters: Grade 6 math.

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