Story Problems
Solving Equations
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100

At a restaurant, Nathanel and his three friends decided to divide the bill evenly.  If each person paid $13 then what was the total bill?

Everyone paid $52

100

3x=-36

x=-12

100

When are your study guides due?

Tomorrow, Wednesday, February 19th

100

12=29-x

x=17

100

Last week Bella ran 20 miles more than Annalea. Bella ran 37 miles.  How many miles did Annalea run?

Annalea ran 17 Miles

200

A wild animal ate 12 of your muffins.  That was 3/10 of all of them! How many muffins did you start with?

40 muffins

200

2x+9=17

x=4

200

What is the order of operations? All the words, not just the acronym.

Parenthesese, Exponents, Multiplication/Division, Addition/Subtraction

200

-42=-7x

x=6

200

Diego is buying a pair of headphones that cost $30.98. He paid with $40. How much change should he get?

Diego should get $9.02 back.

300

Josh has a stamp collection. He purchased 7 more stamps. The next week, half of his stamps were destroyed in a flood, leaving him with only 22 stamps. How many stamps did he have before his purchase?

Josh started with 37 stamps.

300

6=2(3x-9)

x=4

300

What math term describes what happens when a shape spins around a fixed point some number of degrees?

Rotation

300

2(6x-9)=18

x=3

300

Vanessa had some candy to give to 4 of her friends. She took 10 pieces for herself first, then evenly divided the rest between her friends. If each friend got 2 pieces, how many pieces did Vanessa start with?

Vanessa started with 18 pieces of candy.

400

A 12 inch candle and an 18 inch candle are lit. The 12-in. candle burns 1 inch every hour. The 18-in. candle burns 2 inches every hour. How much time will it take for them to be the same height?

After 6 hours, each candle will be 6 inches tall.

400

1/3(42x-51)=15x

x=-17

400

What is the slope of a line defined by the following equation?

y=-2/3x+4/5

-2/3

400

x-(6-3x)=4x

No solution

400

Apartment A has a $1000 security deposit and costs $1200 each month. Apartment B has a $1500 and costs $1175 each month.  How many months, m, will it take for the costs to be the same?

After 20 months, each apartment costs $25,000

500

To work at Starbucks, you make $16 per hour, but have to take an uber for $20. You could make $8 an hour babysitting for your neighbor instead. How long would you have to work to make the same amount at both jobs?

If you work 2.5 hours, you'd make $20 at either job.

500

-6(1-5x)=54

x=2

500

What is the name of either of Mr. Gardner's cats?

Cayenne (Caye) or Guadalupe (Lupe)

500

2(3x-4)=-2x-8+8x

All solutions

500

UPS charges $70 to ship the first 10 pounds, and $2 for each additional pound. FedEx charges $50 to ship the first 10 pounds and $3 for each additional pound. How many pounds, x, will it take for UPS and FedEx to cost the same?

15 pounds will cost $100 at either place