Semester Review Algebra

Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.

• a_n = 4n + 29

• a_n = -4n + 25

• a_n = -4n + 29

• a_n = 4n + 25

Tags

CCSS.HSF.BF.A.2

Find the common ratio: 64, -16, 4, -1, ...

• r = -8

• r = -1/4

• r = -4

• r = 4

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

• a_n = 10(2)^n-1

• a_n = 2(10)^n-1

• a_n = 10(2)ⁿ

• a_n = 2(10)ⁿ

Tags

CCSS.HSF.BF.A.2

Find the Amplitude, Period, and Midline

• Amp: -3, Per: 4π, Mid: y= 2

• Amp: 3, Per: 4π, Mid: y= -2

• Amp: 3, Per: 2π, Mid: y= 2

• Amp: -3, Per: 2π, Mid: y= 2

Tags

CCSS.HSF-IF.C.7E

Find the next three terms in the arithmetic sequence: 9, 19, 29, 39, ...

• 45, 54, 63

• 49, 59, 69

• 39, 49, 59

• 59, 69, 79

Tags

CCSS.HSF.BF.A.2

Find the next three terms: 4, 12, 36, 108, ...

• 324, 972, 2916

• 972, 2916, 8748

• 405, 1215, 3645

Tags

CCSS.HSF.BF.A.2

What is f when x equals 0?

• -5

• 0

• 1/2

• 1

Tags

CCSS.HSF.IF.A.2

What is the vertex of this quadratic equation?  
y = 2(x - 2)²  +  5

• (-2,5)

• (2,5)

• (5,-2)

• (-5,-2)

If f(x) = 5x and g(x) = 2x-1,

what is the composition f(g(x)) ?

• 10x-1

• 10x-5

• 5x²-1

• 5x²-5

Tags

CCSS.HSF-BF.A.1C

f(n)=x²+1
g(n)=2x-5
Find f(n)-g(n)

• x²-2x+6

• -x²+2x+4

• -x²-2x-6

• x²-2x-4

Tags

CCSS.HSF-BF.A.1B