Deck 4: Polynomials

Question 1

What is rewritten using only one exponent?

A)
B)
C)
D)
E) none of these

Answer 1

Question 2

Simplify the following expression and express the final result using positive exponents only. For example, .

A)
B)
C)
D)
E)

Answer 2

Question 3

Write the following expression without using a negative exponent.

A) 1
B) 32
C)
D) -32
E)

Answer 3

Question 4

Write as an exponential expression:

A)
B)
C)
D)

Question 5

What is rewritten using only one exponent?

A)
B)
C)
D)
E) none of these

Question 6

Simplify the numerical expression.

A) 100,000
B)
C)
D)
E) 1,000

Question 7

Simplify the following algebraic expression and express your answer using positive exponents only.

A)
B)
C)
D)
E)

Question 8

Simplify the numerical expression.

A)
B)
C)
D)
E)

Question 9

Simplify the numerical expression.

A)
B)
C)
D)
E)

Question 10

Write the expression without using exponents.

A) 1
B) 19.3
C) -19.3
D) 0

Question 11

Perform the operation. Do not use negative exponents in the answer.

A)
B)
C)
D)
E)

Question 12

Write the expression without using exponents. ( -0.4797 )

A) 0
B) -0.4797
C) -0.735
D) 1

Question 13

Simplify the numerical expression.

A) 3
B)
C)
D)
E) 16

Question 14

Simplify the following expression. Do not use parentheses or negative exponents.

A) 81
B) -81
C) -18
D)
E)

Question 15

Rewrite the following expression using only one exponent:

Question 16

Simplify the expression.

A)
B)
C)
D)
E)

Question 17

Simplify.

A)
B)
C)
D)
E)

Question 18

Write as an exponential expression: .

A)
B)
C)
D)

Question 19

Write as an exponential expression:

A)
B)
C)
D)

Question 20

Write the expression without using exponents.

A) 0
B) -17
C) 17
D) 1

Question 21

Simplify the following expression. Do not use parentheses or negative exponents.

A) -343
B)
C)
D)
E) 343

Question 22

Write the number 0.937 in scientific notation.

A)
B)
C)
D)
E)

Question 23

Determine the degree of the given polynomial. -6

A) 0
B) 10
C) 6
D) 8
E) 5

Question 24

The distance between two planets is approximately miles. Use scientific notation to express this distance in feet. (5,280 feet = 1 mile.)

A) ft
B) ft
C) ft
D) ft
E) ft

Question 25

Simplify the following expression.

A)
B)
C)
D)
E)

Question 26

How much money should a young married couple invest now at a(n) 6% annual rate if they want to have $100,000 in the bank when they reach retirement age in 40 years? Use the formula: where P is the amount of money to be invested at an annual rate i (expressed as a decimal) in order to have $ A in n years. Round your answer to the nearest integer. $ __________

Question 27

Write the following expression with a single exponent. Assume there is no division by 0.

A)
B)
C)
D)
E)

Question 28

What is the classification of the polynomial ?

A) binomial
B) 2nd degree binomial
C) trinomial
D) 3rd degree monomial
E) monomial

Question 29

Write the number in ordinary decimal notation. For example (2.78)(10) ⁴ =27,800.

A) 215,000
B) 2,150,000
C) 2,150
D) 215
E) 21,500

Question 30

Determine whether the expression is a polynomial.

Question 31

Use scientific notation and the properties of exponents to help you perform the following operation. Express the answer in scientific notation.

A) 6 ¹³
B) (6)(10) ¹³
C) 6 ^-13
D) (6)(10) ^-13
E) (6)(10) ¹¹

Question 32

Write the number 0.00052 in scientific notation.

A)
B)
C)
D)
E)

Question 33

Determine whether the expression is a polynomial. -9 + x

Question 34

Write the number in ordinary decimal notation. For example, (2.78)(10) ⁴ =27,800.

A) 550
B) 55,000,000
C) 5,500,000
D) 5,500,000,000
E) .0000000550

Question 35

Determine whether the expression is a polynomial.

Question 36

What is the classification of the polynomial .

A) 3rd degree monomial
B) binomial
C) trinomial
D) monomial
E) none of these

Question 37

What is the classification of the polynomial ?

A) monomial
B) 1st degree binomial
C) trinomial
D) binomial
E) 3rd degree monomial

Question 38

Write the number in ordinary decimal notation. For example, (2.78)(10) ⁴ = 27,800.

A) 0.113
B) 0.0113
C) 0.00113
D) 113
E) 1,130

Question 39

The distance between the Sun and Mars is approximately miles. Use scientific notation to express this distance in feet. ( Hint: 5,280 feet = 1 mile.)

A) ft
B) ft
C) ft
D) ft
E) ft

Question 40

Write the number 55,000,000 in scientific notation.

A)
B)
C)
D)
E)

Question 41

Subtract the monomials.

A)
B) 2
C)
D)
E)

Question 42

Consider the polynomial function P ( x ) = 2 x ² + x + 4 and find P (3).

A) P (3) = 21
B) P (3) = 27
C) P (3) = 25
D) P (3) = 29

Question 43

Subtract the monomials.

A) 3
B)
C)
D)
E)

Question 44

Graph the polynomial function.

A)
B)
C)
D)
E)

Question 45

Add the monomials.

A) 8
B)
C)
D)
E)

Question 46

The height h (in feet) of a ball shot straight up with an initial velocity of 38 feet per second is given by the polynomial function h = f ( t ) = -16 t ² + 38 t . Find the height of the ball after 2 seconds.

A) h = 16 ft
B) h = 12 ft
C) h = 38 ft
D) h = -38 ft
E) h = -16 ft

Question 47

Determine the degree of the given polynomial.

A) 5
B) 0
C) 9
D) 6
E) 1

Question 48

Add the monomials.

Question 49

Simplify the expression.

A)
B)
C)
D)
E) none of these

Question 50

Find the sum when is added to the sum of and .

A)
B)
C)
D)
E) none of these

Question 51

Determine the degree of the given polynomial. 3 xy + 3 y

A) 0
B) 2
C) 11
D) 3
E) 1

Question 52

Evaluate for .

A) -7
B) -4
C) 5
D) -3
E) -5

Question 53

Graph the polynomial function.

A)
B)
C)
D)
E)

Question 54

Subtract the monomials.

A)
B) -3
C)
D)
E)

Question 55

Consider the polynomial function and find .

A)
B)
C)
D)
E)

Question 56

Add the monomials. 8 b + 5 b + 2 b

Question 57

Evaluate 7 x - 1 for x = - 2.

A) - 16
B) - 17
C) 18
D) - 15
E) 11

Question 58

Simplify the expression.

A)
B)
C)
D)
E) none of these

Question 59

Evaluate the algebraic expression for the given values of the variables.

Question 60

Graph the polynomial function.

A)
B)
C)
D)
E)

Question 61

Subtract.

A)
B)
C)
D)
E)

Question 62

Simplify the expression.

A)
B)
C)
D)
E) none of these

Question 63

Simplify the expression.

A)
B)
C)
D)
E) none of these

Question 64

Consider the following information: if a car was purchased for $ and is expected to depreciate $ per year its value after years is given by the formula . Find the expected value of the car in years.

Question 65

Find the indicated product by applying the distributive property and combining similar terms.

A)
B)
C)
D)
E)

Question 66

Find the product.

A)
B)
C)
D)
E)

Question 67

Simplify the expression.

A)
B)
C)
D)
E) none of these

Question 68

Find the product.

A)
B)
C)
D)
E)

Question 69

Find the product.

A)
B)
C)
D)
E)

Question 70

Find the product.

A)
B)
C)
D)
E)

Question 71

Find the product.

A)
B)
C)
D)
E) none of these

Question 72

Find the indicated product by applying the distributive property and combining similar terms.

A)
B)
C)
D)
E)

Question 73

Subtract.

A)
B)
C)
D)
E)

Question 74

Find the product.

A)
B)
C)
D)
E)

Question 75

Consider the following information: A motorcyclist bought two motorcycles, one for $ and the other for $ . The first motorcycle is expected depreciate $ per year and the second $ per year. Find the value of both motorcycles after years.

Question 76

Find the indicated product by applying the distributive property and combining similar terms.

A)
B)
C)
D)
E)

Question 77

Find the product.

Question 78

Find the product.

A)
B)
C)
D)
E)

Question 79

Find the product.

A)
B)
C)
D)
E) none of these

Question 80

Consider the following information: A business bought two yachts, one for $ and the other for $ . The first yacht is expected depreciate $ per year and the second $ per year. Find one polynomial equation that will give the value of both yachts after years.