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# Common Core Standard HSA-REI.B.4 Questions

Solve quadratic equations in one variable.

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Factor the expression.
$9x^2 + 24x +16$
1. $(x + 4)(9x - 1)$
2. $(3x + 16)(3x + 1)$
3. $(3x + 4)^2$
4. $(3x + 8)^2$
What are the solutions of $x^2 -3x - 40$?
1. -5 and -8
2. -5 and 8
3. 5 and -8
4. 5 and 8
A factor of $2x^2+7x-4$ is:
1. $(2x-1)$
2. $(2x+1)$
3. $(x-4)$
First, factor $y = 3x^2 - x - 4.$
Then, solve for the zeros of it.
1. x = 1, x = -4/3
2. x = - 1, x = 4/3
3. x = - 3/4, x = - 1
4. x = 3/4, x = 1
Factor this expression:
$x^2 -9x + 20$
1. ( x - 5)( x + 4)
2. ( x + 5)( x - 4)
3. ( x - 5 )( x - 4)
4. ( x - 4)( x - 5)
Factor.
$x^2 -144$
1. $(x+12)(x+12)$
2. $(x+12)^2$
3. $(x-12)(x+12)$
4. $(x-12)^2$
Expand $(2x + 4 )(2-x)$
1. $8 - 2x^2$
2. $12 - 2x^2$
3. $8x - 2x^2$
4. $8 + 2x^2$