7th Grade Multistep Problems with Rational Numbers Worksheet Solutions (PDF)
This grade 7 multistep problems answers for 7th Grade covers multistep problems with rational numbers (Common Core 7.EE.B.3), with a free PDF to print.
Use this answer key to check your work on the multistep problems worksheet. Every solution shows the steps, and the final answer appears in bold. If your answer is different, compare each step and look for the first place where the work changes.
Grade 7 · Common Core State Standards: 7.EE.B.3
Grade 7 multistep problems answers: exercises 1 to 10
Exercise 1 – Fraction to percent
\(3\div 8=0.375\).
\(0.375\times 100=37.5\%\)
0.375 and 37.5%
Exercise 2 – Decimal to fraction
\(0.35=\frac{35}{100}=\frac{7}{20}\)
\(\frac{7}{20}\)
Exercise 3 – Estimate first
Estimate: \(20\times 4=80\).
Exact: \(19.8\times 4.1=81.18\).
About 80; exactly 81.18
Exercise 4 – Mixed forms
\(\frac{3}{4}=0.75\).
\(0.75+0.5=1.25\)
1.25
Exercise 5 – Negative decimal and fraction
\(-2.5+0.75=-1.75\)
-1.75
Exercise 6 – Part of a part
\(\frac{3}{5}\times 150=90\).
\(0.20\times 90=18\)
18
Exercise 7 – Overtime pay
Regular: \(12.50\times 40=500\).
Overtime rate: \(12.50\times 1.5=18.75\). \(18.75\times 6=112.50\).
\(500+112.50=612.50\)
$612.50
Exercise 8 – Gift card
Shirts: \(3\times 11.95=35.85\).
Tax: \(0.08\times 35.85=2.868\), so the total is \(35.85+2.868=38.718\approx 38.72\).
\(50-38.72=11.28\)
Total $38.72; $11.28 left
Exercise 9 – Cutting lumber
Cut length: \(3\times 2\frac{3}{4}=8\frac{1}{4}\), and \(8\frac{1}{4}+1\frac{1}{2}=9\frac{3}{4}\).
\(12-9\frac{3}{4}=2\frac{1}{4}\)
\(2\frac{1}{4}\) feet
Exercise 10 – Split the bill
Tip: \(0.18\times 64.80=11.664\).
Total: \(64.80+11.664=76.464\).
\(76.464\div 4=19.116\approx 19.12\)
$19.12 each
Exercises 11 and up
Exercise 11 – Smaller recipe
\(0.70\times 2.5=1.75\)
\(1\frac{3}{4}\) cups
Exercise 12 – Is it reasonable?
Estimate: \(0.20\times 400=80\).
Exact: \(0.187\times 392=73.304\).
73 is close to the exact value.
Yes; exactly 73.304
Exercise 13 – Distance after rests
First part: \(\frac{3}{5}\times 7.5=4.5\). Remaining: \(3\) miles.
Second part: \(\frac{2}{3}\times 3=2\).
\(3-2=1\)
1 mile
Exercise 14 – Fundraiser
\(35\%+\frac{2}{5}=0.35+0.40=0.75\) of the goal.
Remaining: \(1-0.75=0.25\), and \(0.25\times 1200=300\)
$300
Exercise 15 – Phone plans
100 texts: A is \(25+0.10\times 100=35\), B is 40.
200 texts: A is \(25+0.10\times 200=45\), B is 40.
100 texts: Plan A ($35 vs $40); 200 texts: Plan B ($40 vs $45)
Exercise 16 – Scaling a recipe
Flour: \(2\frac{1}{4}\times 1.5=\frac{9}{4}\times\frac{3}{2}=\frac{27}{8}=3\frac{3}{8}\).
Sugar: \(\frac{3}{4}\times 1.5=1.125\), then \(0.80\times 1.125=0.9\)
\(3\frac{3}{8}\) cups of flour; 0.9 cup of sugar
Exercise 17 – Monthly budget
Rent: \(0.30\times 2400=720\). Food: \(2400\div 6=400\). Savings: \(0.15\times 2400=360\).
Total: \(720+400+360=1480\).
\(2400-1480=920\)
Rent $720, food $400, savings $360; $920 left
Exercise 18 – Concert tickets
Tickets: \(4\times 45=180\). After coupon: \(180-10=170\).
Fee: \(0.12\times 170=20.40\).
\(170+20.40=190.40\)
$190.40
Exercise 19 – Savings with debts
\(-12.50\times 4=-50\).
\(-50+30=-20\).
\(\frac{1}{2}\times 20=10\), so \(-20-10=-30\)
-$30
Exercise 20 – Price change
Increase: \((36-30)\div 30=0.20=20\%\).
Drop: \(\frac{1}{6}\times 36=6\), so \(36-6=30\)
20% increase; final price $30
Key facts behind this grade 7 multistep problems answers
- Fractions, decimals, and percents are different names for the same numbers.
- Convert to one form before you combine numbers.
- Break the problem into steps and write the expression for each step.
- Round only at the end; round money to the nearest cent.
- Estimate with friendly numbers to check reasonableness.
How to use this grade 7 multistep problems answers
Cover each solution, solve the exercise again, then uncover it and compare every line. If your answer differs, find the first step that changed and redo the exercise from there.
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7th Grade Multistep Problems with Rational Numbers Worksheet Solutions
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