Math 7 - Real-World Algebraic Equations Word Problems

Zach works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Idris's car bill was $63.

• 7x + 35 = 63
• 7x = 63
• 7x - 35 = 63
• 35x + 7 = 63

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CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

Sarojini is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

• .50x + 20 = 35
• .50x = 35
• .50 + 20x = 35 
• .50x - 20 = 35

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CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

The symbolic manipulation steps in solving 5b - 6 = 24 are: 

• Add 6 to both sides and divide both sides by 5
• Add 6 to both sides and multiply both sides by 5
• Subtract 6 from both sides then multiply both sides by 5
• Subtract 6 from both sides then divide both sides by 5

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CCSS.6.EE.A.3

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

An Uber charges $3, plus $1.50 for each mile traveled.  Sam rode in the Uber from their home to the airport and was charged $30.  How many miles does Sam live from the airport?

• 18 miles
• 20 miles
• 22 miles

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CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

WRITE AN EQUATION

Harper had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

• 24-10=7x

• 24+7x=10

• 10+7x=24

• 10+x=14

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CCSS.6.EE.B.6

CCSS.6.EE.B.7

WRITE AN EQUATION
Aiyana had some candy to give to her four cousins. She first took ten pieces for herself and then evenly divided the rest among her cousins. Each child received two pieces. Write the equation to solve this question correctly.

• (x-10)/4=2
• x-10/4=2
• x-10=2(4)
• 2(x-10)=4

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CCSS.6.EE.B.6

CCSS.6.EE.B.7

After paying $3.32 for a sandwich, Sabiha has $19.79. How much money did she start with? Which equation could you use to solve this problem?

• 3.32s = 19.79

• s - 19.97 = 3.32

• s - 3.32 = 19.79

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CCSS.6.EE.B.6

CCSS.6.EE.B.7

In 2010, a tree was 8 feet tall. In 2011 the tree was 14 feet tall. Which equation would be used to find how many feet the tree grew?

• f + 8 = 14

• f - 8 = 14

• f/8 = 14

• 8f=14

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CCSS.HSA.CED.A.3

WRITE AN EQUATION
Phoebe spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?

• 0.5x+4=12
• x+4=12
• 12-4=x
• 12-4=0.5x

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CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage.  If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

• C = 0.20x + 15
• C =15 (0.20x)
• C = 15 + x + 0.20
• C = 0.20 + 15x

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2