Free Printable Pre-Algebra Trials

1.

Which group of numbers is in correct numeric order?

a)

$2\ \ \ ,\ \ \ 2.8\ \ \ ,\ \ \ \sqrt{3}\ \ \ ,\ \ \ \sqrt{7}\ \ \ ,\ \ \ \sqrt{9}$

b)

$\sqrt{3}\ \ \ ,\ \ \ 2\ \ \ ,\ \ \ \sqrt{7}\ \ \ ,\ \ \ 2.8\ \ \ ,\ \ \ \sqrt{9}$

c)

$\ \ 2\ \ \ ,\ \ \ 2.8\ \ \ ,\ \ \ \sqrt{7}\ \ \ ,\ \ \ \sqrt{3}\ \ \ ,\ \ \ \sqrt{9}$

d)

$\ \ \sqrt{9}\ \ \ ,\ \ \ 2.8\ \ \ ,\ \ \ 2\ \ \ ,\ \ \ \sqrt{7}\ \ \ ,\ \ \ \sqrt{3}$

2.

Which number isn't a perfect square?

a)

16

b)

36

c)

4

d)

8

3.

$4^{-3}$

a)

$\frac{1}{16}$

b)

$\frac{1}{-64}$

c)

$\frac{1}{64}$

d)

-64

4.

Select all numbers that are rational

a)

.45

b)

.185619843519849165198....

c)

$\frac{13}{17}$

d)

$\sqrt{29}$

e)

$35.59595959595959....$

5.

Which number isn't a perfect cube?

a)

27

b)

9

c)

8

d)

64

6.

Which scientific notation is correct?

a)

$1.4\times10^2=140$

b)

$2.6\times10^3=78$

c)

$.12\times10^4=120,000$

d)

$3.1\times10^3=310$

7.

Solve: $4x^2y\ \times\ 3xy$

a)

$7x^2x2y$

b)

$7x^3y^2$

c)

$12x^3y^2$

d)

$12x^2y^2$

8.

Which number is not rational?

a)

$\sqrt{9}$

b)

$\sqrt{1}$

c)

$\sqrt{8}$

d)

$\sqrt{4}$

9.

Which choice best represents the Quotient of Powers rule?

a)

$\frac{z^2}{x^2}=\left(z-x\right)^2$

b)

$\frac{x^3}{x^2}=x^{3\div2}$

c)

$\frac{y^6}{y^5}=y^{\left(6-5\right)}$

d)

$\frac{w^7}{w^3}=w^7-w^3$

10.

Which number below is NOT an integer?

a)

0

b)

$\pi$

c)

9

d)

-13

11.

What is the answer to:
$3+\left(4+2\right)^2\div2$

a)

21

b)

13

c)

40.5

d)

19.5

12.

Which scientific notation is correct?

a)

$-34\ =\ 3.4\times10^{-1}$

b)

$.34\ =\ 3.4\times10^{-1}$

c)

$-.34\ =\ 3.4\times10^{-1}$

d)

$-3.4\ =\ 3.4\times10^{-1}$

13.

Solve: $4\left(12-6\div3\right)-3\left(2+3\times2\right)$

a)

-22

b)

10

c)

-16

d)

16

14.

Which choice best represents the Product of Powers rule?

a)

$p^2\ \times\ p^{4\ }=\ p^6$

b)

$p^3\ \times\ p^3\ =\ p^9$

c)

$p^6\ \times\ p^2\ =\ p^3$

d)

$p^3\ \times\ p^1\ =\ 3p^3$

15.

Which number is a natural number?

a)

-13

b)

5

c)

0

d)

$\pi$

16.

Select all numbers that are irrational

a)

$3\pi$

b)

3.3974924123....

c)

0

d)

.55535553...

e)

1.1111112

17.

Which number is irrational?

a)

.455455455...

b)

.454544554455...

c)

.45454545...

d)

.454455

18.

Which number is rational?

a)

24.736295736....

b)

.24242244...

c)

24.2424

d)

$24\pi$

19.

Karen was organizing an upcoming gaming competition for the weekend. Each gaming setup will cost $450 (represented as "g"), plus it will cost $200 to rent out the building space for the day. If Karen has to spend an additional $1000 dollars for food and drinks, which expression will best show the cost for the event?

a)

450g + 200

b)

450g + 200 - 1000

c)

450g + 200 + 1000

d)

1650g

20.

Which answers define a rational number

a)

Has a terminating decimal

b)

A fraction with a non-zero denominator

c)

Any fraction

d)

Repeating decimal (Know what is coming next)

e)

Any decimal

21.

Which answers define an irrational number

a)

A terminating decimal

b)

A non-repeating decimal

c)

A repeating decimal

d)

A negative number

e)

If $\pi$ is anywhere in the number

22.

Simplify: $4\ \left[3\left\{4+\left(7-3\right)\right\}-10\right]$

a)

106

b)

86

c)

56

d)

42

23.

Simplify $3x^2\ \times\ 2x^7$

a)

$5x^9$

b)

$6x^9$

c)

$6x^{14}$

d)

$5x^{14}$

24.

Simplify: $\left(2x^4\right)^2\ \times\ \left(x^3\right)^5$

a)

$2x^{23}$

b)

$4x^{23}$

c)

$2x^{14}$

d)

$4x^{14}$

25.

Lance has decided to go shopping for the holidays for his family. Lance has budgeted $65 for each member of his family (represented as "d"), as well as spending $150 for a whole family gift. The week before Christmas, Lance found $101 on the ground. Write an expression that shows how much money Lance has ended up going through during the holiday season.

a)

65d + 150 - 101

b)

65d + 150 + 101

c)

316d

d)

65d - 150 - 101

Pre-Algebra Trials

Total questions: 25

Worksheet time: 25mins

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