Multi-Step Word Problems

The length of a rectangle is 4 times the width. The perimeter is 90 cm. Find the width and length.

• 4w+w = 90

• 2(4w) +2w = 90

• 4w+2w=90

• w+4 = 90

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CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.REI.C.6

The perimeter of a triangle is 93 ft. Side a is twice as long as side b. Side c is 3 feet longer than side a. Find the length of each side.

• x + x + x + 3 = 93

• 2x + x + 3x = 93

• 2x + x + 3 = 93

• 2x + x + x + 3 =93

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CCSS.HSA.CED.A.2

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CCSS.HSA.REI.B.3

The length of a rectangle is 2 cm more than 5 times the width. The perimeter is 196 cm. Find the width and the length.

• 2(5w+2) + 2w = 196

• 5w + 2 + w = 196

• 2(5w + 2) = 196

• 2(w + 2) + 2w = 196

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CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.REI.C.6

Barbara is 142 cm tall. This is 2 cm less than 3 times her height at birth. Find her height at birth.

• 2 - 3x = 142

• 3x + 2 = 142

• 3x - 2 = 142

• -2 - 3x = 142

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CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

A bicycle is on sale at $12 more than half of the regular price. If the sale price is $75, find the regular price

• 12 - 2x = 75

• 12 - x/2 = 75

• 2x + 12 = 75

• 12 + x/2 = 75

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CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.4

CCSS.HSA.REI.B.3

Omega just got he pilot's license and wants to rent a plane. The Platinum Plane Company charges $180 plus $92 per hour to rent a plane. The Plastic Plane Company charges $250 plus $78 per hour. For what number of hours would the companies charge the same amount?

• 180 + 92x = 250 + 78x

• 180x + 92 = 250x + 78

• 180 + 92x = 250x + 72

• x(180 + 92) = x(250 + 72)

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CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.11

Romeo ordered a bouquet of roses for his girlfriend. Each rose cost $2.95, and the delivery charge was $8.50. If the total cost was $61.60, how many roses did Romeo order?

• 2.95x - 8.50x = 61.50

• x(2.95 + 8.50) = 61.60

• 2.95 + 8.50x = 61.60

• 2.95x + 8.50 = 61.60

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CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

Jennifer weighs 99 lbs. Her weight is 5 pounds less than two thirds of her father's weight. How much does her father weigh?

• 5 - 2/3x = 99

• 5x - 2/3 = 99

• 2/3 + 5x = 99

• 2/3x - 5 = 99

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CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

One scoop of ice cream has 5 times as many calories as a sugar cone. John bought a sugar cone with two scoops of ice cream. If the two scoops and the sugar cone together had 495 calories, how many calories were in each scoop of ice cream?

• 2(5x) = 495

• 5x + 5x + x = 495

• 5x = 495

• 3x = 495

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CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

Happy Paws charges a flat fee of $19 plus $1.50 per hour to keep a dog during the day. Woof Watchers charges a flat fee of $15 plus $2.75 per hour. Find the number of hours for which you would pay the same total fee to both services.

• 19x + 1.5 = 2.75x + 15

• 1.5x + 19 = 15x + 2.75

• x(19 + 1.5) = x(15 + 2.75)

• 19 + 1.5x = 15 + 2.75x

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3