This 10-question multiple-choice quiz checks one-step equations in Grade 6: solutions, inverse operations, decimals, fractions, and equations for word problems (6.EE.B.5 to 6.EE.B.7). Pick one answer for each question and read the explanation.
Grade 6Common Core: 6.EE.B.5 · 6.EE.B.6 · 6.EE.B.7
🎯 One-Step Equations – Grade 6 math quiz
Question 1
What is the solution of \(x + 6 = 15\)?\(x + 6 = 15\).
A
\(x = 21\)
B
\(x = 90\)
C
\(x = 2.5\)
D
\(x = 9\)
Question 2
What is the solution of \(5x = 45\)?
A
\(x = 40\)
B
\(x = 50\)
C
\(x = 225\)
D
\(x = 9\)
Question 3
What is the solution of \(x + 3.5 = 8\)?
A
\(x = 11.5\)
B
\(x = 5.5\)
C
\(x = 4.5\)
D
\(x = 28\)
Question 4
What is the solution of \(0.4x = 2\)?
A
\(x = 0.8\)
B
\(x = 1.6\)
C
\(x = 50\)
D
\(x = 5\)
Question 5
What is the solution of \(x + \frac{1}{2} = \frac{5}{6}\)?
A
\(x = \frac{1}{3}\)
B
\(x = \frac{4}{3}\)
C
\(x = \frac{2}{3}\)
D
\(x = \frac{1}{6}\)
Question 6
Which equation matches the sentence "7 more than a number \(n\) is 20"?
A
\(7n = 20\)
B
\(n + 7 = 20\)
C
\(n - 7 = 20\)
D
\(20 + n = 7\)
Question 7
Sofia buys \(4\) notebooks for $10 in all. Which equation finds the price \(n\) of one notebook?4 notebooks cost $10 in all.
A
\(4n = 10\)
B
\(n + 4 = 10\)
C
\(10n = 4\)
D
\(n = 4 + 10\)
Question 8
Which equation has the solution \(x = 8\)?
A
\(x + 9 = 16\)
B
\(3x = 21\)
C
\(x + 5 = 13\)
D
\(2x = 4\)
Question 9
Aisha has $13.25 and wants a book that costs $20. Solving \(x + 13.25 = 20\), how much more does she need?
A
$33.25
B
$6.75
C
$7.25
D
$6.25
Question 10
Liam runs the same distance \(d\) on each of \(3\) days and runs \(7.5\) miles in all. What is \(d\)?Three equal runs.
A
\(2.5\) miles
B
\(22.5\) miles
C
\(4.5\) miles
D
\(10.5\) miles
🎉 Quiz complete!
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Remember:
- A solution makes the equation true when substituted: \(x = 12\) solves \(x + 7 = 19\).
- To solve \(x + p = q\), subtract \(p\) from both sides: \(x = q – p\).
- To solve \(px = q\), divide both sides by \(p\): \(x = q : p\).
- Equations can use whole numbers, fractions, and decimals, and the same steps still work.
See every chapter on the Grade 6 math page.