Algebra 2 Semester 1 Final Review

Factor by grouping
x³ - 4x² -4x + 16

• (x+4)(x+2)
• (x-4)(x² -4) 
• (x+4)(x² -4)
• (x-4)(x-2)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor: 8x³ - 1

• (2x - 1)(4x² + 2x + 1)
• (2x + 1)(4x² - 2x + 1)
• (2x - 1)(4x² - 2x - 1)
• (2x + 1)(4x² +2x + 1)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

Factor:  27x³ + 8

• (3x + 2)(9x² - 6x + 4)
• (9x + 2)(3x² + 18x + 4)
• (3x²+4)(9x + 2)
• (27x + 8)(x² - 216x + 64)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Which ones are polynomials? (You may select more than one.)

• 
• 
• 
• 

Tags

CCSS.HSA.APR.A.1

What is the leading coefficient? 
f(x)=5x²+3x³-2x+1

• 5
• 3
• -2
• 1

What are the transformations for the graph of
the parent function f(x) = √x  to the function above 

• Vertical Stretch by a factor of 2; translated down 5 units 
• Shifted right 2 units and down 5 units 
• Vertical stretch by a factor of 2; translated left 5 units
• Vertical stretch by a factor of 2; translated right one unit 

Tags

CCSS.HSF.BF.B.3

• A
• B
• C
• D

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Which function is graphed?

• f(x) = 2|x + 2| - 3
• f(x) = |¹/₂x + 2| - 3
• f(x) = |¹/₂x + 3| - 2
• f(x) = 4|¹/₂x + 3| - 2

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which function is graphed?

• f(x) = -3|-x + 1| + 4
• f(x) = -|x - 1| + 4
• f(x) = -5|x + 1| + 4
• f(x) = -3|x - 4| + 1

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which function is graphed?

• f(x) = 2|x - 5|
• f(x) = |x - 5|
• f(x) = |x - 5| + 5
• f(x) = |x| + 5

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7