8th Math Unit 5 Review

Exponent Rules

100

Evaluate the Expression:

(7+3)^0

1

200

Simplify 4^-6 x 4⁴

1/4^2 or 1/16

300

Simplify 

2³ x 2^-4

2^-1 or 1/2

400

Simplify 

2^16/2^5

a. 2^11

b. 2^4

c. 2^21

d. 2^12

a. 2^11

500

Simplify the expression with positive exponents only.

A. x^-2*y

B. y/x^-2

C. 1/(yx^2)

D. y/x^2

D.

yx^2

C.

y/x^2

Operating with Scientific Notation

100

The mass of an ant is 0.002797 grams 

How is this number written in scientific notation?

A. 2.797x10³

B. 2.797x10^-2

C. 2.797x10^-4

D. 2.797x10^-3

D. 2.797x10^-3

200

Select all answers NOT in scientific notation:

A. 29.1x10¹²

B. 0.4x10⁴

c. 9.995x10^-24

D. 10.1x10^-2

E. 2.4x10¹¹

F. 1x10¹²

A,B,D

300

The area of the United States is 3789100 square miles. Which is the best estimation of this area?

a. 3x10⁶

b. 3x10⁷

c. 4x10⁶

d. 4x10⁷

c. 4x10⁶

400

A state park has two pools. The Olympic-sized pool holds 7.12x10⁵ of water and the smaller pool holds 3.27x10⁵ gallons of water. What is the combined total capacity of the pool?

Be sure your answer is in scientific notation.

1.039x10⁶ gallons of water

500

how many times larger is 1.2x10⁸ than 3x10⁶

a. 2 times larger

b. 3 times larger

c. 4 times larger

d. 6 times larger

c. 4 times larger

Solving with Radicals

100

Which equation is true?

A. sqrt(8)=2

B. sqrt(16) = 4

C. sqrt14=4

D. root(3)(9)=3

B.

sqrt(16) = 4

200

Solve x²=225

a. x=15

b. x=25

c. x=-5

d. 

x=pm15

d. 

x=pm15

300

solve for x when 

x^3=343/27

a. x=7/3

b. x=pm7/3

c. x=(7/3)^2

d.x=(7/3)^3

b. x=pm7/3

400

Solve 

x^2=123

A. x=pm12

B. x=12

C. x=sqrt123

D. x=pmsqrt(123)

D. x=pmsqrt(123)

500

Mia completely covered a square bulletin board using 81 square feet of material without any overlap. Which measurement is closest to the side length of this bulletin board in feet?

a. 7 ft

b. 12 ft

c. 6 ft

d. 9 ft

d. 9 ft

Irrational Versus Rational

100

which number is irrational?

A. 3.5

B. sqrt(36)

C. sqrt(48)

D. 37/100

C. sqrt(48)

200

Select the rational number

A. 4.12345608913240923845396943805832

B. sqrt144

C. root(3)345

D. sqrt17/6

B. sqrt144

300

Which number is irrational?

A. root(3)343

B. sqrt169

C. sqrt13

D.12/4

C. sqrt13

400

Mrs. Liscom is working decimal approximations and gets the following answer in demos: 

2.666666666667

Why is 2.666666666667 a rational number?

a. it repeats

b. it terminates

c. it does not repeat 

d. it does not terminate

a. it repeats 

in a calculator, a repeating number greater than 5 will round up on the last digit. don't be fooled!

500

Taryn enters

8/9

 into the calculator and the display shows 0.88888888888889 choose all the true statements about this situation

a. 8/9 is rational because its decimal form terminates

b. 8/9 is rational because its decimal form repeats

c. 8/9 is rational because 8 and 9 are integers

d. 8/9 is irrational because its decimal form ins non-terminating

b. 8/9 is rational because its decimal form repeats

c. 8/9 is rational because 8 and 9 are integers

Miscellaneous

100

Give a decimal approximation for 

sqrt(38)

6.2

200

What is the best approximation for 

sqrt23

A. between 4 and 5 

B. Between 2 and 3 

C. Between 6 and 7

D. Between 1 and 2

A. Between 4 and 5

300

Which best matches the definition of an integer?

A. Positive and negative numbers

B. Counting numbers

C. Positive and negative whole numbers

D. Counting numbers including 0

C. Positive and negative whole numbers

400

Classify as irrational, rational, integer, whole number, or natural number.

root(3)27

Natural number. simplifies to 3

500

Classify the following number as irrational, rational, integer, whole number, or natural number:

 3.123123123

Rational