Algebra Unit 4 study guide

The length of a rectangle is 6 meters more than the width.  The area is 72 square meters.  Find the length and width.

• Length = 6, Width = 12
• Length = 18, Width = 4
• Length = 12, Width = 6
• Length = 4, Width = 6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.4

The height of a water balloon that is launched into the air is given by h(t) = -5t² + 40t + 2. From what height was the balloon released?

• 2 meters

• 5 meters

• 40 meters

• 20 meters

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

The height of a water balloon that is launched into the air is given by h(t) = -5x²+20x+25. When will the balloon explode on the ground?

• 5 seconds

• 1 second

• 2 seconds

• 3 seconds

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Which answer choice describes  y = -3x² +7x - 2 accurately?

• opens up with a maximum
• opens up with a minimum
• opens down with a maximum
• opens down with a minimum 

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which of the following equations matches vertex form of a quadratic?

• ax + by = c
• y = a(x - h)² + k
• y = ax² + bx + c
• y = mx + b

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

• y = 9x² - 15x + 21

• y = -3x² - 75x - 4

• y = 9x² + 90x + 221

• y = -3x² - 30x - 79

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Complete the square for

x² - 14x + ____

(find the missing value that goes in the blank)

• - 196

• 49

• - 49

• 28

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
x² - 5x - 14

• (x - 2)(x + 3)
• (x - 2)(x + 7)
• (x + 2)(x - 7)
• (x - 2)(x - 3)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor: x² + 24x + 144

• (x + 12)²
• (x + 9)²
• (x + 15)²
• (x + 13)²

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

The x-intercepts of a quadratic equation are known as the _____.

• vertices

• squares

• zeros

• formulas

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4