Applications of Quadratic Equations 2

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

x² - 16x + 63 = 0

• x = 5;  x = -8
• x = 7;  x = 9

x² + 7x + 12 = 0

• x = -3;  x = -4
• x = -2;  x = 6

Factor: x² – 5x – 24

• (x - 5)(x + 19)
• (x - 8)(x + 3)
• (x - 3)(x + 8)
• (x - 19)(x + 5)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

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.CED.A.3

CCSS.HSA.REI.B.3

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.REI.B.3