Grade 6 Math Practice Test: Solving One-Step Equations
- Solving One-Step Equations
- 10 questions
- 12 minutes
This test practices solving equations like x + p = q and px = q with whole numbers, decimals and fractions. Tip: use the inverse operation, and check by putting your answer back into the equation.
Tap an option to mark your answer. You can change your mind, or tap the same option again to leave the question blank. The correct answers and explanations appear when you finish the test.Tap an option to answer; tap it again to leave the question blank.
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Question 1
Solve: x + 14 = 32
Correct answer: C
Subtract 14 from both sides: x = 32 − 14 = 18. Check: 18 + 14 = 32. x = 46 adds 14 instead of subtracting it.
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Question 2
Solve: 7y = 63
Correct answer: B
Divide both sides by 7: y = 63 ÷ 7 = 9. y = 56 subtracts 7 instead of dividing.
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Question 3
Solve: n − 8.5 = 12
Correct answer: C
Add 8.5 to both sides: n = 12 + 8.5 = 20.5. Check: 20.5 − 8.5 = 12. n = 3.5 subtracts instead of adding.
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Question 4
Solve: m ÷ 6 = 8
Correct answer: B
Multiply both sides by 6: m = 8 × 6 = 48. Check: 48 ÷ 6 = 8.
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Question 5
Solve: 23x = 10
Correct answer: A
Divide both sides by 23, which is the same as multiplying by 32: x = 10 × 32 = 15. x = 6 23 multiplies by 23 instead.
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Question 6
Mara bought 5 shirts that each cost the same amount, s dollars. She paid $72.50 in all. Which equation and solution are correct?
Correct answer: D
5 shirts at s dollars each cost 5s, so 5s = 72.50 and s = 72.50 ÷ 5 = 14.50. The last option has the right equation but a division mistake.
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Question 7
Which equation has the solution x = 4?
Correct answer: D
4 + 9 = 13, so x = 4 makes this equation true. The other equations have the solutions 12, 5 and 16.
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Question 8
A tree grew 1.75 feet this year. It is now 9.4 feet tall. Let h be its height one year ago, so h + 1.75 = 9.4. What was its height one year ago?
Correct answer: B
h = 9.40 − 1.75 = 7.65 feet. 11.15 feet adds the growth instead of subtracting it, which would make the tree taller last year.
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Question 9
A rectangle has an area of 54 square centimeters and a length of 9 centimeters. Its width is w, so 9w = 54. What is w?
Correct answer: C
Divide both sides by 9: w = 54 ÷ 9 = 6 cm. Check: 9 × 6 = 54. 45 comes from subtracting 9 instead of dividing.
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Question 10
Which step solves the equation x ÷ 4 = 3.5?
Correct answer: A
x is divided by 4, so the inverse operation is multiplying by 4: x = 3.5 × 4 = 14. Dividing again by 4 would not get x alone.
Questions you leave blank are not counted as wrong.
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