Algebra Midyear

Factor Completely: 
x⁴-9x²
Hint: Factor GCF first. 

• x²(x+3)(x-3)

• (x²+3x)(x²-3x)

• (x²+9)(x-3)(x+3)

• x²(x²-9)

Tags

CCSS.HSA.APR.C.4

Use the quadratic formula to solve 2x² + 2x - 12?

• -2, 3

• 2, 3

• 2, -3

• -2, -3

(-2 + 7i)(-2 + 2i)

• -10 + 8i

• -10 - 18i

• 18 - 10i

• -18 - 10i

Tags

CCSS.HSN.CN.C.8

Simplify.

• -5i

• 5

• 5i

• -5

What is the equation in factored form of this graph?

• f(x) = (x-4)(x-1)²(x+2)(x+4)

• f(x) = (x-4)(x+1)²(x+2)(x+4)

• f(x) = (x-4)(x-1)²(x-2)(x+4)

• f(x) = (x+4)(x+1)²(x-2)(x-4)

Tags

CCSS.HSA.APR.B.3

Is (x-2) a factor of             f(x)= x³-8x²+14x-4?

• Yes, (x-2) is a factor. There is a remainder.

• No, (x-2) is  not a factor. The remainder is zero.

• Yes, (x-2) is a factor. The remainder is zero.

• No, (x-2) is  not a factor. There is a remainder. 

Tags

CCSS.HSA.APR.B.2

Simplify the radical...

√20a²b⁴

• 2ab²√5

• 4ab²√5

• 5ab²√2

• 2a²b²√5

Given f(x) = -x + 4 and g(x) = 6x + 3, find (f - g)(x).

• -7x + 1

• 5x +1

• -5x -1

• 5x + 1

Tags

CCSS.HSF-BF.A.1B

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

• (1, 4) and (4, 6)

• (-4, -1) and (-6, -4)

• (-1, -4) and (-4, -6)

• (4, 1) and (6, 4)

Tags

CCSS.HSF-BF.B.4C

Write an equation that correctly models the lengths shown.

• 2x + 20 + x + 21 = 9

• 2x + 20 + 9 = x + 21

• 9 + x + 21 = 2x + 20

• 2x + 20 - 9 = x + 21