Quadratic Equations Word Problems Review

Find two consecutive integers whose product is 342.

• 18, 19 and -18, -17

• 18, 19 and -19, -18

• 19, 20 and -20, -19

• 9, 38 and -38, -9

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

The area of a triangle is 384 square feet. If the base is 8 feet longer than the height, find the measurement of the base and the height. (A = ½bh)

• h = 24 ft and b = 32 ft

• h = 32 ft and b = 24 ft

• h = 32 ft and b = 40 ft

• h = 40 ft and b = 32 ft

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

Find two consecutive ODD integers whose product is 1935.

• 40, 41 and -41, -40

• 25, 65 and -65, -25

• 41, 43 and -43, -41

• 43, 45 and -45, -43

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.4

One number is 18 more than the other. Find the two numbers if their product is 819.

• 18, 36 and -36, -18

• 22, 40 and -40, -22

• 21, 39 and -39, -21

• 9, 91 and -91, -9

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.4

Joe wants to make a path around the outside of his garden, which is 50’ x 70’. If the path is of uniform width and the entire garden and path combined are to cover 4524 square feet, how wide should the path be?

• 4 feet

• 8 feet

• 58 feet

• 78 feet

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

The original plan for Mr. Harris’s house is a rectangle that measures 40’ x 50’. Because of an increase in cost, the square footage of the house must be decreased to 1739 square feet. To do this, the length and width will be decreased by the same amount. By how much should they be decreased?

• 6 ft

• 43.5 ft

• 3 ft

• 1.5 ft

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.REI.B.4

A box is to be made by cutting the corners of a square piece of cardboard and folding the edges up. If 3-inch square are to be cut out of the corners and the box will hold 243 cubic inches, what is the length of a side of the original cardboard square? (V = lwh)

• l = -6 in or l = 12 in

• l = 15 in

• l = 6 in

• l = 9 in

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.4

CCSS.HSA.REI.B.4

CCSS.HSG.GMD.A.3

A rectangular piece of metal is 13” x 18”. Four equal squares will be cut from the corners and the metal folded up to make a box whose bottom has an area of 176 square inches. What is the length of each square that is cut from the corners?

• 12 feet

• 14,5 feet

• 2 feet

• 1 foot

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

A rectangular picture frame contains a 12” x 14” picture. What is the width of the frame if the total area of the picture AND the frame is 288 square inches?

• 2"

• 4"

• 8"

• 15"

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

A picture is square with sides of 15 cm. If it is to be enlarged so that the area of the picture is doubled, how much will the length be increased?

• the length will be doubled

• the length will be multiplied by 4

• the length will be multiplied by √2

• the length will stay the same

Tags

CCSS.HSG.SRT.A.1