One-step Equations Test – Grade 6 Math (Printable PDF)

Question 1 Testing solutions (2 points)

Is 9 a solution of each equation? Show the substitution.

1. x + 6 = 15 (1 point)
2. 3x = 18 (1 point)

Question 2 Whole-number equations (2 points)

Solve each equation.

1. x − 8 = 14 (1 point)
2. 7p = 63 (1 point)

Question 3 Division and decimals (2 points)

Solve each equation.

1. y6 = 5 (1 point)
2. z + 4.2 = 9 (1 point)

Question 4 Fractions and decimals (2 points)

Solve each equation.

1. x + 25 = 1 (1 point)
2. 0.4m = 6 (1 point)

Question 5 Tape diagram (3 points)

The tape shows eight equal parts with a total of 56.

1. Write an equation for the tape. (1 point)
2. Solve the equation. (1 point)
3. Check the solution by substitution. (1 point)

Question 6 Backpack purchase (3 points)

Ravi bought a $19 backpack and has $23 left. Let m be the money he had at first.

1. Write an equation. (1 point)
2. Solve it. (1 point)
3. Check your answer in the story. (1 point)

Question 7 Find the error (2 points)

Elena solved n5 = 8 and wrote n = 8 ÷ 5 = 1.6.

1. Explain her mistake. (1 point)
2. Find the correct value of n and check it. (1 point)

Question 8 Pretzel stand (2 points)

At a fair, 5 pretzels cost $12.50 in all. Each pretzel costs p dollars.

1. Write an equation. (1 point)
2. Find the price of one pretzel. (1 point)

Question 9 Writing and solving (2 points)

Write an equation for the sentence, then solve it: a number increased by 12.5 is 30.