Midterm Review (January 2021)

Exponents

100

Which of these shows a base of 6 and an exponent of 3?

a. 6.3

b. 6³

c. ​​​​3.6

b. 6³

200

Solve the problem: 4³

a. 12

b. 64

c. 4.3

B. 64

300

What is the reciprocal of 2^-3 ?

a. 1/2 ³

b. 1/2

c. 2

A. 1/2³

400

Solve the problem: 4⁷ x 4^-2 =

a. 28

b. 16, 384

c. 1,024

C. 1,024

500

Solve the problem: (1/4)^-2 x 8^-2 =

a. 1/4

b. 1

c. 0

A. 1/4

Scientific Notation

100

Solve the problem: 22,300

a. 2.23 x 10⁴

b. 2.3 x 10²

c. 2.23 x 10⁵

a. 2.23 x 10⁴

200

Solve the problem: 7.8 x 10^-5

a. 0.0078

b. 0.000078

c. 0.00078

b. 0.000078

300

Solve the problem: 0.00000024

a. 2.4 x 10^-7

b. 2 x 10^-5

c. 2.4 x 10^-9

a. 2.4 x 10^-7

400

Solve the problem: 3.2 x 10⁶

a. 3,200

b. 32,000

c. 3,200,000

c. 3,200,000

500

Compare the following scientific notation numbers:

 2.8 x 10⁵ ____ 1.7 x 10⁷

a. <

b. >

c. =

a. <

Real/Rational Numbers

100

Which of these is not a rational number?

a. 5

b. 1/5

c. square root of 5

c. square root of 5

Remember, a rational number is "any number that can be written as a fraction". The square root of 5 = 2.236067... (this decimal does not terminate or repeat so it is irrational)

200

Which number is shown by point B on the number line?

a. -3.3 

b. -3.9

c. 3

a. -3.3

300

Which of these is a whole number?

a. 6

b. 1.2

c. the square root of 3

a. 6

400

Which answer is not a real number?

a. the square root of 25

b. the square root of -36

c. the square root of 125

b. the square root of -36

500

Solve the problem: the absolute value of -2.1

a. 1.2

b. 2.1

c. 2.1²

b. 2.1

Squares/Cubes

100

What is the square root of 64? 

a. 16

b. 12

c. 8

c. 8

200

The square root of 15 is between what two digits?

a. 3 and 4

b. 5 and 6

c. 1 and 2

a. 3 and 4

300

What is the cube root of -64?

a. not a real number

b. -24

c. 4

a. not a real number

400

What is the additive inverse of -7?

a. 0

b. 7

c. -7

b. 7

500

What is the cube root of 36 rounded to two decimal places?

a. 3.30

b. 3.301

c. 3.3

a. 3.30

Integers (adding,subtracting,multiplying)

100

Solve the problem: -2 + 5 = 

a. 7

b. 3

c. -3

b. 3

200

Solve the problem: 6- (-3)=

a. 9

b. 3

c. -9

a. 9

300

Solve the problem: -4 x 5 = 

a. -9

b. -20

c. 1

b. -20

400

Solve the problem: -4 + 3 =

a. -1

b. 1

c. 7

a. -1

500

Solve the problem: -6 x -8 =

a. -48

b. 14

c. 48

c. 48