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100

Jenny's car gets 18 miles per gallon. If she needs to drive 54 miles, how many gallons does she need?

g = # of gallons

Equation: 18g = 54


100

You work at Panda Express making minimum wage at $13.25 an hour. If you made $159.00 this week (before taxes), how many hours did you work?

Equation: 13.25h = 159

Equation: 13.25h = 159

h= 12 hours

You worked 12 hours this week.

100

Samelyn is filling her mug with hot chocolate at a rate of 2 ounces per second. If she is filling up a mug that is 16 ounces total, how long will it take to fill the cup completely?

s= # of seconds

Equation: 2s = 16

s= 8 seconds

Mrs.Kutter bought 98 pencils.

100
4x + 9 = 33
x = 6
100

Dylan is helping to build a fence around his home. He has exactly 232 feet of fencing he will use. The width of the fence will be 54ft and the length is represented by the expression x + 27. What is the length of the fence? (Hint: Solve for x then plug it back in)

x = part of the length of the fence

Equation: 2W + 2L = 232

2(54) + 2(x+27) = 232

x = 35

The length of the fence is 62 feet long.

200

Mrs. Kutter needs to buy pencils for her students. Pencils cost $0.50 each. She also needs to buy a pencil sharpener for $25.00 and spends a total of $34.00

p= # of pencils

Equation: 0.50p + 25 = 34

200

Sam is at Kohl's buying gifts for the Holiday. Kohl's is having a deal for $30 off your purchase. If you buy pairs of fuzzy socks for your family and friends for $9.99 and one 12.99 hat for yourself, how many socks did Sam buy for a total is 102.87?

Equation: 9.99s + 12.99 - 30 = 102.87

s = # of pairs of socks

Equation: 9.99s + 12.99 - 30 = 102.87

s = 12

Sam bought 12 pairs of socks.

200

Mrs. Kutter needs to buy pencils for her students. Pencils cost $0.50 each. She also needs to buy a roll of tape for $1.75. If she spends $50.75, how many pencils did she buy?

P= # of pencils

Equation: 0.50p +1.75 = 50.75

p= 98 pencils

Mrs.Kutter bought 98 pencils.

200
x + 3x = -8
x = -2
200

Isaac know that the area of the window he purchased for his house is 6768 square inches. He also know that the height of the window needs to be 72 inches tall. How wide does he need to make the width to fit the entire window?

w= width in inches

Equation: A = W(H)

6768 = (w)(72)

w= 94 inches

Isaac needs to make the width of the window 94 inches.

300

Raschied is hired as a driver in the movie Fast & Furious 15. He is driving at a speed of 93 miles per hour. His co-star is driving at a speed of 107 miles per hour 2 miles behind Raschied. How many hours will it take for his co-star to catch up?

h = # of hours

Equation: 93h = 107h - 2

300

Mrs. Heath wants to buy Starbucks gift cards for all the teachers in the math department. She puts $5 dollars on each card and buys a Salted Carmel White Mocha for herself for 5.25. She ends up spending a total of $35.25. How many Gift cards did Mrs. Heath buy?

Equation: 5g + 5.25 = 35.25

g = # of gift cards

Equation: 5g + 5.25 = 35.25

 g = 6

Mrs.Heath bought 6 gift cards.

300

Laisha is filling up her car with gas at Chevron. Gas costs $2.59 per gallon if she has 2 gallons left in her tank and spends $33.15 to fill up, how many gallons of gas can her tank hold?

g= # of gallons the tank can hold

Equation: 2.59g + 2 = 33.15

g = 12.02

Laisha's car can hold 12.02 gallons of gas.

300
4(y - 2) + y = -13
y = -1
300

Isaac know that the area of the window he purchased for his house is 7776 square inches. He also know that the height of the window needs to be 72 inches tall. The width of the space for the window is only 7 inches right now, how much wider does he need to make the width to fit the entire window?

w= width in inches

Equation: A = W(H)

7776 = (w + 7)(72)

w= 101 inches

Isaac needs to make the width of the window 101 inches wider.

400

Isaac know that the area of the window he purchased for his house is 7776 square inches. He also know that the height of the window needs to be 72 inches tall. The width of the space for the window is only 7 inches right now, how much wider does he need to make the width to fit the entire window? Hint: the width is (7+w)

w= width in inches

Equation: A = W(H)

7776 = (w + 7)(72)

400

Ryan is purchasing headlights for his car on amazon for $27.99 and car fresheners for $2.98 each. Today Amazon has a discount of 12% off. If Ryan spent $35.12 how many car fresheners did she buy?

Equation: 0.88(2.98f + 27.99) = 35.12

f = # of car fresheners

Equation: 0.88(2.98f + 27.99) = 35.12

f = 4

Ryan bought 4 car fresheners from Amazon.


400

Matthew is jogging at the same rate as Steven, but started 1/6 of a mile ahead of him.  How many hours will it take Matthew to jog 3 miles?

h= # of hours

Equation: 6h + 1/6 =  3

h = 0.472

It takes Matthew 0.472 hours to jog 3 miles.

400
-6(m + 1) + 18 = 24
m = -2
400

Ge'anna purchased jeans from American Eagle. The store had a sale for 40% off your entire purchase. She bought a few pairs of jeans that cost 49.95 each and a top for 44.95. If she spent 118.03 how many pairs of jeans did she buy?

j= # of pairs of jeans

Equation: 0.40(49.95j + 44.95) = 118.03

j = 5.007

Ge'anna bought 5 pairs of jeans at AE.

500

Clover purchased home decor from target. Target had a sale for 20% off your entire purchase. She bought a few pillows that cost $29.99 each and a blanket for $19.99. If she spent $87.97 how many pillows did she buy?

p = # of pillows

Equation: 0.80(29.99p + 19.99) = 87.97

500

Paige is jogging at a rate of 5.3 miles per hour. Payton is jogging 1.2 miles per hour faster than her normal pace of 4.1 miles per hour to keep up with Paige. If they both started at the same park which is  2 miles from their apartment, how many hours will it take them to have jogged the same distance?

Equation: 5.3h + 2 = 4.1h + 1.2h + 2

h = # of hours jogged

Equation: 5.3h + 2 = 4.1h + 1.2h + 2

2 = 2 --> True (All real numbers)

Paige and Payton will have jogged the same distance the entire time.

500

Matthew is jogging at the same rate as Steven, but started 1/6 of a mile ahead of him.  If Steven is jogging at a rate of 6mph, how many hours will it take Steven to catch up with Matthew?

h= # of hours

Equation: 6h + 1/6 =  6h

1/6 = 0 --> Not true (No Solution)

Steven will never catch up to Matthew.


500
7k - 8 + 2(k + 12) = 52
k = 4
500

Britney purchased a new phone from T-mobile. The store had a sale for 25% off your purchase. She bought a few new cases that cost $14.99 each and new iphone 12 pro for $999. If she spent $771.74, how many new cases did she buy?

c= # of phone cases

Equation: 0.75(14.99c +999) = 771.74

c = 2.0004

Britney bought 2 new cases for her iphone.