Review Algebra

Rewrite f(x) = x² - 10x + 14 in graphing/vertex form by completing the square.

• y = (x - 5)² + 14

• y = (x - 5)² - 11

• y = (x + 5)² + 14

• y = (x + 5)² - 11

Simplify Completey:  x⁵ ⋅ x^-3⋅ x¹²

• x^-180

• x¹⁴

• x¹⁸⁰

• x^-14

Tags

CCSS.HSA.APR.A.1

Solve the following absolute value equation:
∣ x + 3 ∣ +7 = - 14

• x = -24 or 18

• x = 24 or -18

• no solution

• infinite solutions

Rewrite the exponential equation as a logarithmic equation.
2^x = 8

• log₂x = 8

• log_x2 = 8

• log₂8 = x

• log₂2 = 8

Tags

CCSS.HSF.BF.B.5

Rewrite the logarithmic equation as an exponent.
log₄25 = x

• 4^x = log

• 4²⁵ = x

• 4^x =25

• log = 4

Tags

CCSS.HSF.BF.B.5

• A
• B
• C
• D

Tags

CCSS.HSA-REI.B.4B

Simplify each expression.

Answers should have only positive exponents

and no rational exponents in the denominator.

• 12

• 10

• 2√30

• 4√30

Tags

CCSS.HSN.RN.A.2

Factor 9x²-64

• (3x-8)(3x+8)

• (2x-8)(2x+8)

• (3x-4)(3x+4)

• (3x-8)²

Tags

CCSS.HSA.APR.C.4

f(x) = 3x +4
g(x) = 2x +1
f(x) + g(x) = ?

• x+3

• x+5

• 3x+3

• 5x+5

Tags

CCSS.HSF-BF.A.1B

f(x) = 2x
g(x) = 3x + 4
f(g(x)) = ?

• 5x + 8

• -x - 4

• 6x + 8

Tags

CCSS.HSF-BF.A.1C