Free Printable Ch 4 Test Review Pre Algebra

1.

Simplify 5³⋅5⁴

a)

5⁷

b)

5⁻¹

c)

5¹²

d)

5

2.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

3.

Solve and Simplify (no exponent)

2^0

a)

$0$

b)

$1$

c)

$2$

d)

$\frac{1}{2}$

4.

3⁴x 3⁷

a)

9²⁸

b)

3²⁸

c)

3¹¹

d)

9¹¹

5.

Simplify:
(x³)(x²)

a)

x⁵

b)

x⁶

c)

x

d)

x^1.5

6.

How do you write
5⋅5⋅5⋅5⋅5⋅5⋅5
with an exponent?

a)

5⁷

b)

5⁶

c)

7⁵

d)

5

7.

n²⋅n⁴⋅n⁵

a)

n¹¹

b)

n⁴⁰

c)

n¹³

d)

n²²

8.

Simplify: $x^3\cdot x^4$

a)

$x^{12}$

b)

$x^7$

c)

$x^1$

d)

$x^{\frac{4}{3}}$

9.

Solve using the product law of exponents

Resolver utilizando la ley de productos de los exponentes

(5⁵)(5³)

a)

25⁸

b)

5¹⁵

c)

25¹⁵

d)

5⁸

10.

Simplify.

Simplificar.

(x⁴) (x)

a)

2x⁴

b)

x

c)

x⁵

d)

x⁴

11.

Simplify

w⁵(w^x)w⁷

a)

w^35x

b)

w¹³

c)

w^12x

d)

w^{12 + x}

12.

5²·5⁵=

a)

5⁷

b)

5³

c)

5^-7

d)

5^-3

13.

$\left(9y\right)^3$

a)

$9y^3$

b)

$9^3y$

c)

$27y^3$

d)

$729y^3$

14.

Simplify the expression using exponential notation:

$\left(a^4\right)^3$

a)

$a^{12}$

b)

$a^7$

c)

$a$

d)

$a^{15}$

15.

Simplify the expression using exponential notation:

$\left(y^8\right)^5$

a)

$y^{13}$

b)

$y^{40}$

c)

$y^3$

d)

$y^{85}$

16.

Simplify.

$8^{-1}$

a)

8

b)

$-8$

c)

$\frac{1}{8}$

d)

$-\frac{1}{8}$

17.

Simplify.

$6^{-2}$

a)

$\frac{1}{36}$

b)

$-\frac{1}{36}$

c)

$\frac{1}{12}$

d)

$-\frac{1}{12}$

18.

Simplify.

$5^4$

a)

625

b)

20

c)

9

d)

54

19.

Simplify.

$2^{-5}$

a)

$\frac{1}{32}$

b)

$-\frac{1}{32}$

c)

$\frac{1}{10}$

d)

$-\frac{1}{10}$

20.

Simplify.

$4^{-5}$

a)

$\frac{1}{1024}$

b)

$-\frac{1}{1024}$

c)

$\frac{1}{20}$

d)

$-\frac{1}{20}$

21.

Use the properties of exponents to write an equivalent expression.

$5\cdot5\cdot5\ =\ ?$

a)

$3^5$

b)

$5^3$

c)

$\left(-3\right)^5$

d)

$\left(-5\right)^3$

22.

Use the properties of exponents to write an equivalent expression.

$\left(-5\right)\cdot\left(-5\right)\cdot\left(-5\right)\ =\ ?$

a)

$3^5$

b)

$5^3$

c)

$\left(-3\right)^5$

d)

$\left(-5\right)^3$

23.

Simplify.

$\left(\frac{1}{5}\right)^0$

a)

1

b)

0

c)

5

d)

$-\frac{1}{5}$

24.

Simplify.

$\left(\frac{1}{5}\right)^{-2}$

a)

$\frac{1}{25}$

b)

25

c)

$-\frac{1}{25}$

d)

$-25$

25.

Simplify.

$\left(-7\right)^2$

a)

49

b)

$-49$

c)

$\frac{1}{49}$

d)

$\frac{1}{-49}$

26.

Simplify.

$-7^2$

a)

49

b)

$-49$

c)

$\frac{1}{49}$

d)

$\frac{1}{-49}$

27.

$\frac{x^8}{x^5}$

a)

$x^3$

b)

$\frac{1}{x^3}$

c)

$x^{13}$

d)

$x^{40}$

28.

$\left(-2x^3y^2\right)\left(5xy^4\right)$

a)

$3x^3y^8$

b)

$3x^4y^6$

c)

$-10x^3y^8$

d)

$-10x^4y^6$

29.

According to exponent rules, when we raise the coefficients to a power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

30.

According to exponent rules, when we divide the expressions we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

31.

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

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

32.

Simplify the exponential expression:

a)

10x^-2

b)

2x²

c)

2x¹²

d)

10x¹²

33.

Simplify: $\frac{x^8y^7z^6}{x^5y^4z^3}$

a)

$x^3y^3z^3$

b)

$x^{13}y^{11}z^9$

c)

$\frac{1}{x^3y^3z^3}$

d)

$x^{40}y^{28}z^{18}$

34.

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

35.

Evaluate ∛1

(a)

36.

Evaluate ∛27

(a)

37.

Evaluate ∛64

(a)

38.

Evaluate ∛216

(a)

39.

5²

(a)

40.

1- Which number is a perfect square?

a)

a) 32

b)

b) 25

c)

c) 22

d)

D) 24

41.

3- Which number is perfect square?

a)

a) 36

b)

b) 39

c)

c) 89

d)

d) 11

42.

√16

a)

4

b)

8

c)

2

d)

9

43.

√121

a)

12

b)

10

c)

11

d)

3

44.

Where would you place -6?

a)

In the whole number circle because it's a whole number, integer, and rational number.

b)

In the integer circle because it's an integer and rational number only.

c)

In the rational circle because it's only a rational number.

d)

I'm not sure because I don't know what rational means.

45.

Does the graphic organizer correctly group the numbers?

a)

Yes

b)

No

46.

Explain the error

a)

-1.2 isn't an integer.

b)

-2 isn't a whole number and 3.4 isn't a rational number.

c)

-2 isn't a whole number and -1.2 isn't an integer.

d)

The numbers are graphed correctly.

47.

-14 could NOT be which type of number?

a)

Integer

b)

Whole

c)

Rational

48.

Classify the Number: -23

a)

Rational

b)

rational, integer

c)

integer

d)

rational, whole

49.

Which statement is true?

a)

Every rational number is an integer

b)

Every whole number is a counting number

c)

Every integer is a whole number

d)

Every whole number is a rational number

50.

-3.5 is an integer

a)

True

b)

False

51.

6 is a rational number

a)

True

b)

False

52.

-9 is an integer

a)

True

b)

False

53.

Which of the following does not represent a whole number?

a)

9

b)

6.0

c)

12/4

d)

-12/3

54.

Which of the following could the diagram represent?

a)

I: rational, II: natural

b)

I: integer, II: whole

c)

I: integer, II: rational

d)

I: whole, II: natural

55.

Select the expression written using exponents: $\left(-7\right)\cdot\left(-7\right)\cdot5\cdot5\cdot5\cdot5$

a)

$\left(-7\right)^2\left(5\right)^4$

b)

$-7^2\cdot5^4$

c)

$-\left(7\right)^{2^{5^4}}$

d)

$\left(-7\right)^5\left(5\right)^2$

56.

Select the expression written using exponents: $n\cdot n\cdot p\cdot p\cdot r\cdot r\cdot r$

a)

$2n\cdot2p\cdot3r$

b)

$n^2p^2r^3$

c)

$2n2p3r$

Ch 4 Test Review Pre Algebra

Total questions: 56

Worksheet time: 3hrs 48mins

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