Use Factoring to Solve Word Problems

The product of two consecutive negative even integers is 24. Find the integers.

• -3, -8

• -24, -1

• -2, -12

• -6, -4

The area of a playground is 336 yd2 . The width of the playground is 5 yd longer than its length. Find the length and width of the playground

•  length = 26 yd, width = 21 yd
• length = 21 yd, width = 26 yd 
• length = 21 yd, width = 16 yd 
• length = 16 yd, width = 21 yd

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

A rectangle has an area of 24 square units. The width is 5 units less than the length. What is the length, in units, of the rectangle? 

• 6
• 8
• 3
• 19

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

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

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

Solve for h:
0 = (h – 7)(2h + 3)

• h = –14 or h = 12
• h = –7 or h = 3
• h = 7 or h = -3/2
• h = –14 or h = -3/2

#2) The area of a playground is 504 square yards.  The length of the playground is (x +8) and the width is (x – 2).  Find the length and width.

• 20
• -26 and 20
• 18 and 28
• 14 and 36

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

#4) A movie screen has an area of 143 square feet.  The length of the screen is 2 feet more than the width.  What is the length of the screen?

• 10
• 11
• 12
• 13

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.REI.B.4

Find the area of the rectangle.

• 9x² - 2x
• 9x² - 2
• 10x - 2
• 20x - 4 

Tags

CCSS.HSA.SSE.A.1

CCSS.HSG.GPE.B.7

Find the perimeter of the rectangle.

• 5x + 5
• 10x + 10
• 20x + 4
• 20x

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.3

CCSS.6.EE.A.4

CCSS.6.EE.B.6