Free Printable PSAT Algebra Quiz

1.

What is the sum of $2x^2-3$ and $5x+3$ ?

a)

$2x^2+5x$

b)

$2x^2-5x-6$

2.

Simplify $\left(-3x^3+2x\right)-\left(-3x^3-2x\right)$

a)

$-6x^3+4x$

b)

0

c)

4x

3.

Simplify $\frac{x^2-4x+3}{x-3}$

a)

$x^2-1$

b)

$x^2-4$

c)

$x-1$

d)

$x-4$

4.

The result of $5x^2+x-3$ minus $-3x^2+2x-5\$ can be written as $ax^2+bx+c$ where a, b & c are real numbers. What is ac?

a)

$8x^2-x+2$

b)

$-15$

c)

$16$

d)

$-16$

5.

Given $f\left(x\right)=\frac{2}{5}x+k$ where k is constant. If $f\left(10\right)=3$ , what is $f\left(-15\right)$ ?

a)

$-1$

b)

$-7$

c)

$13$

d)

$-6$

6.

If $3k-5\ge7$ ,which cannot be a value of k?

a)

$3$

b)

$4$

c)

$5$

d)

$6$

7.

Which of the following is a value of x that satisfies $g\left(x\right)=0$ given $g\left(x\right)=\left(x+7\right)^2-25$ ?

a)

$-12$

b)

$-7$

c)

$0$

d)

$2$

8.

Which are the solutions to $2x^2+5x-4$ ? Check all that apply.

a)

$\frac{-5-3\sqrt{6}}{4}$

b)

$\frac{5+3\sqrt{6}}{4}$

c)

$\frac{-5+\sqrt{57}}{4}$

d)

$\frac{-5-\sqrt{57}}{4}$

9.

If $x>0$ and $x^2-9=0$ , what is the value of x ?

a)

9

b)

-9

c)

-3

d)

3

10.

The graph of the function $-x^2-2x+8$ is shown above. For what values of x is $f\left(x\right)=5$ ?

a)

$-4\ \&\ 2$

b)

$-3\ \&\ 1$

c)

$-1\ \&\ 9$

d)

$5\ \&\ 8$

PSAT Algebra Quiz

Total questions: 10

Worksheet time: 50mins

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