Free Printable Prerequisite Knowledge in College Algebra

1.

What property of real numbers is shown below?

$5+1=1+5$

a)

Commutative Property of Addition

b)

Associative Property of Addition

c)

Inverse Property of Addition

d)

Distributive Property

2.

What property of real numbers is shown below?

$a^2+\left(b^2+c^2\right)=\left(a^2+b^2\right)+c^2$

a)

Commutative Property of Addition

b)

Zero Property

c)

Associative Property of Addition

d)

Identity Property of Addition

3.

What property of real numbers is shown below?

$xyz=xyz$

a)

Symmetric Property

b)

Reflexive Property

c)

Substitution Property

d)

Transitive Property

4.

If $2x+4=10$ and $x=3$ , then $2\left(3\right)+4=10$ .

a)

Symmetric Property

b)

Substitution Property

c)

Transitive Property

d)

Distributive Property

5.

Put in the symbol to make the statement true...

$-17.5\$ ______ $-\ \sqrt[]{121}$

a)

>

b)

<

c)

=

6.

a)

Point M

b)

Point N

c)

Point P

d)

Point Q

7.

Convert 53% to a decimal

a)

53.0

b)

0.53

c)

5.30

d)

0.053

8.

According to exponent rules, when we multiply two power with the same base we _______ the exponents.

Example: $s^2\cdot s^6$

a)

add

b)

subtract

c)

multiply

d)

divide

9.

What is $10^0$ equivalent to?

a)

1

b)

10

c)

0

d)

100

10.

$\left(2\right)^{-6}$

a)

64

b)

$\frac{1}{64}$

c)

-64

d)

$-\frac{1}{64}$

11.

Are these two equivalent:

$2^2=\left(-2\right)^2$

a)

Yes

b)

No

12.

a)

$11\ \sqrt[]{5}$

b)

$11\ \sqrt[]{10}$

c)

$5\ \sqrt[]{5}$

d)

$12\ \sqrt[]{10}$

13.

Evaluate:

a)

2

b)

4

c)

16

d)

64

14.

What is the domain of the function in this graph?

a)

$x\le3$

b)

$x\ge3$

c)

$x\le0$

d)

$x\ge0$

15.

Simplify

a)

$3x^2y^2z\ \sqrt[]{3yz}$

b)

$3xyz\ \sqrt[]{xy^2}$

c)

$3xyz$

d)

Can't Simplify

16.

In the expression 3p + 4, what is the word for the letter p?

a)

term

b)

coefficient

c)

product

d)

variable

17.

$2m\ +\ 3y\ -\ 7$

How many terms are there in this expression?

a)

Three

b)

Five

c)

Two

d)

One

18.

Six more than four times a number?

a)

$4x+3$

b)

$6x+4$

c)

$4x+6$

d)

$5+7x$

19.

Factor out the GCF:

$12x+6$

a)

$6\left(2x+1\right)$

b)

$3\left(4x+2\right)$

c)

$6x\left(2x+1\right)$

d)

$2\left(6x+3\right)$

20.

Factor completely.

$k^2-2k-24$

a)

$\left(k+4\right)\left(k-6\right)$

b)

$\left(k+4\right)\left(k+6\right)$

c)

$\left(k+6\right)\left(k-1\right)$

d)

$\left(k-4\right)\left(k+6\right)$

21.

Factor completely: $3x^2+5x-12$

a)

$\left(3x+4\right)\left(x-3\right)$

b)

$\left(3x-4\right)\left(x+3\right)$

c)

$\left(3x+3\right)\left(x-4\right)$

d)

$\left(3x-3\right)\left(x+4\right)$

22.

Factor:

$x^2+7x-30$

a)

$\left(x+10\right)\left(x-7\right)$

b)

$\left(x-10\right)\left(x+3\right)$

c)

$\left(x+10\right)\left(x+3\right)$

d)

$\left(x+10\right)\left(x-3\right)$

23.

$Simplify:\ \ \frac{x^2+6x-7}{x^2-49}$

a)

$\frac{x-1}{x+7}$

b)

$\frac{x+1}{x+7}$

c)

$\frac{x-1}{x-7}$

d)

$\frac{x+1}{x-7}$

24.

Multiply the Rational Expression

a)

A.

b)

B.

c)

C.

d)

D.

25.

a)

$2a^2b^6$

b)

$\frac{1}{2a^2b^6}$

c)

$\frac{b^6}{2a^2}$

d)

$\frac{2b^6}{a^2}$

Prerequisite Knowledge in College Algebra

Total questions: 25

Worksheet time: 1hrs 7mins

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