Deck 5: Exponents and Polynomials

Question 1

Simplify.

A) -32
B) 10
C) 32
D) -25
E) -10

Answer 1

-32

Question 2

Simplify.

Answer 2

49

Question 3

Simplify.

A)
B)
C)
D)
E)

Answer 3

Question 4

The displacement, in cubic inches, of a car engine is given by the formula where s is the stroke and b is the bore, as shown in the figure, and c is the number of cylinders. Calculate the engine displacement for the Porsche 911 GT3: 6 cylinders, 3.94 inches of bore, 3.01 inches of stroke. Use 3.14 to approximate p . Please round the answer to the nearest whole.

A)
B)
C)
D)
E)

Question 5

Write the expression with a single exponent. (Assume all variables are positive numbers.)

A)
B)
C)
D)
E)

Question 6

Simplify.

A)
B)
C)
D)
E)

Question 7

Simplify.

A)
B)
C)
D)
E)

Question 8

Write the number in scientific notation.

A)
B)
C)
D)
E)

Question 9

Simplify.

A) 343
B) 512
C) 73
D) 216
E) 21

Question 10

Write the number in expanded form.

A) 171,000
B) 17,100
C) 171
D) 1,710,000
E) 1,710

Question 11

Simplify.

A)
B)
C)
D)
E)

Question 12

Write the expression with a single exponent. (Assume all variables are positive numbers.)

A)
B)
C)
D)
E)

Question 13

Simplify.

A)
B)
C)
D)
E)

Question 14

Simplify the expression. Leave your answer in terms of exponents.

A)
B)
C)
D)
E)

Question 15

Find the volume of a cube if each side is 3 inches long.

A)
B)
C)
D)
E)

Question 16

Write the number in expanded form.

A) 65,300
B) 6,530,000
C) 653,000
D) 653
E) 6,530

Question 17

Simplify the expression. Leave your answer in terms of exponents.

A)
B)
C)
D)
E)

Question 18

Simplify.

A)
B)
C)
D)
E)

Question 19

Simplify.

A) 0.027
B) 0.9
C) 0.27
D) 27
E) 9

Question 20

Write the number in scientific notation.

A)
B)
C)
D)
E)

Question 21

Simplify.

Question 22

Simplify.

Question 23

Simplify.

Question 24

Write the number in expanded form.

Question 25

Write the number in expanded form.

Question 26

Write the expression with a positive exponent, and then simplify, when possible.

A)
B)
C)
D)
E)

Question 27

Simplify the expression. Leave your answer in terms of exponents.

Question 28

Simplify.

Question 29

Simplify the expression. Leave your answer in terms of exponents.

Question 30

Simplify.

Question 31

Simplify.

Question 32

Find the volume of a cube if each side is 5 inches long. __________

Question 33

Simplify.

Question 34

Write the expression with a positive exponent, and then simplify, when possible.

A)
B)
C)
D)
E)

Question 35

Write the expression with a positive exponent, and then simplify, when possible.

A)
B)
C)
D)
E)

Question 36

The displacement, in cubic inches, of a car engine is given by the formula where s is the stroke and b is the bore, as shown in the figure, and c is the number of cylinders. Calculate the engine displacement for the Porsche 911 GT3: 6 cylinders, 3.94 inches of bore, 3.01 inches of stroke. Use 3.14 to approximate p . Please round the answer to the nearest whole. __________

Question 37

Write the number in scientific notation.

Question 38

Write the expression with a single exponent. (Assume all variables are positive numbers.)

Question 39

Write the number in scientific notation.

Question 40

Write the expression with a single exponent. (Assume all variables are positive numbers.)

Question 41

Simplify the expression. An answer with exponents should contain positive exponents only.

A)
B)
C)
D)
E)

Question 42

Use the property to simplify the expression. If needed, write your answer with positive exponents only.

Question 43

The number is not in scientific notation because 45 is larger than 10. Write in scientific notation.

A)
B)
C)
D)
E)

Question 44

Write the expression with a positive exponent, and then simplify, when possible.

Question 45

Use the property to simplify the expression. If needed, write your answer with positive exponents only.

A)
B)
C)
D)
E)

Question 46

Simplify the expression. An answer with exponents should contain positive exponents only.

A)
B)
C)
D)
E)

Question 47

Simplify the expression. An answer with exponents should contain positive exponents only.

A)
B)
C)
D)
E)

Question 48

Simplify the expression. An answer with exponents should contain positive exponents only.

A)
B)
C)
D)
E)

Question 49

Simplify the expression. An answer with exponents should contain positive exponents only.

A)
B)
C)
D)
E)

Question 50

Simplify the expression. An answer with exponents should contain positive exponents only.

A)
B)
C)
D)
E)

Question 51

Use the property to simplify the expression. If needed, write your answer with positive exponents only.

A)
B)
C)
D)
E)

Question 52

Simplify the expression. An answer with exponents should contain positive exponents only.

Question 53

The number is not in scientific notation because 0.26 is less than 1. Write in scientific notation.

A)
B)
C)
D)
E)

Question 54

Complete the table.

A)
B)
C)
D)

Question 55

Write the expression with a positive exponent, and then simplify, when possible.

A)
B)
C)
D)
E)

Question 56

Use the property to simplify the expression.

A)
B)
C)
D)
E)

Question 57

Write the expression with a positive exponent, and then simplify, when possible.

Question 58

Suppose you have two squares, one of which is larger than the other. Suppose further that the side of the larger square is five times as long as the side of the smaller square.
If the length of the side of the smaller square is x , find the area of each square. Then find the number of smaller squares it will take to cover the larger square.

A) The area of the smaller square is . The area of the larger square is . The number of smaller squares it will take to cover the larger square is .
B) The area of the smaller square is . The area of the larger square is . The number of smaller squares it will take to cover the larger square is .
C) The area of the smaller square is . The area of the larger square is . The number of smaller squares it will take to cover the larger square is .
D) The area of the smaller square is . The area of the larger square is . The number of smaller squares it will take to cover the larger square is .
E) The area of the smaller square is . The area of the larger square is . The number of smaller squares it will take to cover the larger square is .

Question 59

Write the expression with a positive exponent, and then simplify, when possible.

Question 60

Suppose you have two boxes, each of which is a cube. Suppose further that the length of a side of the second box is five times as long as the length of a side of the first box.
If the length of a side of the first box is x , find the volume of each box. Then find the number of smaller boxes that will fit inside the larger box.

A) The volume of the smaller box is . The volume of the larger box is . The number of smaller boxes that will fit inside the larger box is .
B) The volume of the smaller box is . The volume of the larger box is . The number of smaller boxes that will fit inside the larger box is .
C) The volume of the smaller box is . The volume of the larger box is . The number of smaller boxes that will fit inside the larger box is .
D) The volume of the smaller box is . The volume of the larger box is . The number of smaller boxes that will fit inside the larger box is .
E) The volume of the smaller box is . The volume of the larger box is . The number of smaller boxes that will fit inside the larger box is .

Question 61

Use the property to simplify the expression. If needed, write your answer with positive exponents only.

Question 62

Write the expression with a positive exponent, and then simplify, when possible.

Question 63

Simplify.

A)
B)
C)
D)
E)

Question 64

Combine the terms.

A)
B)
C)
D)
E)

Question 65

Fill in the table.

A)
B)
C)
D)

Question 66

Simplify the expression. An answer with exponents should contain positive exponents only.

Question 67

Fill in the table. Write all answers with positive exponents only.

A)
B)
C)
D)

Question 68

Simplify the expression, and write your answer in scientific notation.

A)
B)
C)
D)
E)

Question 69

Combine the terms.

A)
B)
C)
D)
E)

Question 70

Find the product. Write your answer in scientific notation.

A)
B)
C)
D)
E)

Question 71

Simplify the expression. An answer with exponents should contain positive exponents only.

Question 72

Divide. Write the answer with positive exponents only.

A)
B)
C)
D)
E)

Question 73

Multiply.

A)
B)
C)
D)
E)

Question 74

Multiply.

A)
B)
C)
D)
E)

Question 75

Multiply.

A)
B)
C)
D)
E)

Question 76

Simplify the expression. An answer with exponents should contain positive exponents only.

Question 77

Simplify the expression, and write your answer in scientific notation.

A)
B)
C)
D)
E)

Question 78

Divide. Write the answer with positive exponents only.

A)
B)
C)
D)
E)

Question 79

Simplify. Write the answer with positive exponents only.

A)
B)
C)
D)
E)

Question 80

Find the quotient. Write your answer in scientific notation.

A)
B)
C)
D)
E)