Two-Step Equations: Grade 7 Math Quiz – PDF Download
Ten multiple-choice questions check your skill with two-step equations: undoing operations in order, working with negatives, decimals and fractions, and writing an equation for a situation. Pick the one correct answer, then read the explanation to learn from any mistake.
Grade 7Common Core: 7.EE.B.3 · 7.EE.B.4a
🎯 Two-Step Equations – Grade 7 math quiz
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Question 1
What is the solution of \(2x+3=11\)?The equation \(2x+3=11\) as two steps.
A\(x=7\)
B\(x=8\)
C\(x=4\)
D\(x=5.5\)
Question 2
What is the solution of \(5x-4=21\)?
A\(x=3.4\)
B\(x=4.2\)
C\(x=25\)
D\(x=5\)
Question 3
What is the solution of \(\frac{x}{6}+2=5\)?
A\(x=3\)
B\(x=18\)
C\(x=42\)
D\(x=30\)
Question 4
What is the solution of \(-4x+1=-11\)?
A\(x=-3\)
B\(x=3\)
C\(x=-2.5\)
D\(x=2.5\)
Question 5
What is the solution of \(3(x+4)=24\)?Three equal groups of x plus 4.
A\(x=4\)
B\(x=8\)
C\(x=20\)
D\(x=12\)
Question 6
Sofia pays \(\$8\) to enter a fair and \(\$2.50\) per ride. She spends \(\$23\) in all. Which equation, with \(r\) rides, matches this?Sofia's day at the fair.
A\(8r+2.5=23\)
B\(2.5(r+8)=23\)
C\(2.5r+8=23\)
D\(10.5r=23\)
Question 7
What is the solution of \(1.2x+0.6=3\)?
A\(x=2\)
B\(x=3\)
C\(x=2.5\)
D\(x=2.4\)
Question 8
Which is the best estimate for the solution of \(4x+1=50\)?The equation \(4x+1=50\).
AAbout 4
BAbout 46
CAbout 200
DAbout 12
Question 9
What is the solution of \(2(x-3)=14\)?
A\(x=4\)
B\(x=10\)
C\(x=8.5\)
D\(x=17\)
Question 10
What is the solution of \(\frac{3}{4}x+2=11\)?
A\(x=6.75\)
B\(x=9\)
C\(x=8.25\)
D\(x=12\)
🎉 Quiz complete!
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Remember:
Standards 7.EE.B.3 and 7.EE.B.4a: solve \(px+q=r\) and \(p(x+q)=r\) with rational numbers and use them in word problems.
For \(px+q=r\): subtract \(q\), then divide by \(p\).
For \(p(x+q)=r\): either divide by \(p\) first, or distribute and then solve.
An arithmetic solution works backward through the steps and matches the algebra.
Estimate with rounded numbers to check that an answer is reasonable.
