Question 1

Consider the function $f(x)=2x^2+6x-8.$
What is the vertex form of $f(x)$?

( *NO CALCULATOR*)

Accepted Answer

$f(x)=2(x+1.5)^2-12.5$

Answer

$f(x)=2(x-1.5)^2-12.5$

Answer

$f(x)=2(x-3)^2-4$

Answer

$f(x)=2(x+3)^2-4$

Question 2

Consider the function $f(x)=2x^2+6x-8.$
What is a factored form of  $f(x)$?

( *NO CALCULATOR*)

Accepted Answer

$f(x)=2(x+4)(x-1)$

Answer

$f(x)=2(x-4)(x+1)$

Answer

$f(x)=(2x+1)(x-8)$

Answer

$f(x)=(2x-1)(x+8)$

Question 3

Which expression is equivalent to $a^2x^2-2cx^2+a^2y-2cy$?

Accepted Answer

$(x^2+y)(a^2-2c)$

Answer

$(x^2+y)(a+c)$

Answer

$(x^2-y)(a+c)$

Answer

$(x^2-y)(a^2-2c)$

Question 4

Consider the expression $6x^3-5x^2y-24xy^2+20y^3$.

Accepted Answer

$x^2(6x-5y)-4y^2(6x-5y)$

Answer

$x^2(6x-5y)+4y^2(6x+5y)$

Answer

$x^2(6x-5y)-4y^2(6x+5y)$

Answer

$x^2(6x-5y)+4y^2(6x-5y)$

Question 5

Consider the expression $3^x-3^{x-2}$
Which is an equivalent form of the given expression?

Accepted Answer

$3^x-\frac{3^x}{9}$

Answer

$3^x-9(3^x)$

Answer

$3^x-\frac{3^x}{2}$

Answer

$3^x-2(3^x)$

Question 6

Consider the expression $3^x-3^{x-2}$.
This expression can also be rewritten in the form  $a(3^x)$ where $a$ is a constant. What is the value of $a$?

Accepted Answer

$\frac{8}{9}$

Answer

$\frac{1}{2}$

Answer

$\frac{1}{9}$

Answer

$\frac{3}{2}$

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