Quiz about Review

Question 1

Select all tables that could represent a function.

Accepted Answer

Option A is correct

Accepted Answer

Option B is correct

Accepted Answer

Option E is correct

Answer

C.

Answer

D.

Question 2

Which pair best represents a causation relationship?

Accepted Answer

the temperature at a football game and the number of hot drinks sold

Answer

a person's age and his/her shoe size

Answer

the number of ice cream cones sold and the amount of sunscreen sold

Answer

the number of people attending a ballgame and the length of the ballgame

Question 3

Question 3.

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 4

Question 4.

Accepted Answer

The zeros of f(x) are -1 and 1.

Answer

The zero of f(x) is -6.

Answer

The zero of f(x) is 2.

Answer

The zeros of f(x) are -6 and 6.

Question 5

Select the expression equivalent to (-4x + 3) - (-2x + 5).

Accepted Answer

-2x - 2

Answer

-2x

Answer

-6x - 2

Answer

-6x + 8

Question 6

Consider the expression shown.

4x⁴- 16

Which expressions are equivalent to the expression 4x⁴ - 16?

Select all that apply.

Accepted Answer

(2x²)² - (2²)²

Accepted Answer

4(x² + 2)(x² - 2)

Accepted Answer

(2x² + 4)(2x² - 4)

Answer

4(x²- 2)²

Answer

(2x²) + (-2²)²

Question 7

Which equation has the same solutions as (x - 5)² = 9?

Accepted Answer

x² - 10x + 16 = 0

Answer

x² - 25 = 9

Answer

x² - 5x + 16 = 0

Answer

x² -10x - 16 = 0

Question 8

Consider the equation

x² - 12x + 49 = 22

Which equation has the same solution(s) as the given equation?

Accepted Answer

(x - 6)² = 9

Answer

(x - 7)² = 22

Answer

(x + 7)² = 4.7

Answer

(x - 12)² = -27

Question 9

The spray of a fountain has a height, in feet, that can be modeled by the polynomial expression -x² + 14x - 33.

Which statement about the height of the spray is true?

Accepted Answer

The expression -(x - 7)² + 16 reveals a maximum height of 16 feet.

Answer

The expression -(x - 7)² + 16 reveals a maximum height of 7 feet.

Answer

The expression -(x - 7)² - 16 reveals a maximum height of 7 feet.

Answer

The expression -(x - 7)² - 16 reveals a maximum height of 16 feet.

Question 10

A quadratic function is given as f(x) = x² + 8x + 6.

Which function is equivalent form that would reveal the vertex of the function and what is the vertex of the function?

Accepted Answer

f(x) = (x + 4)² - 10; (-4, -10)

Answer

f(x) = (x + 4)² + 22; (-4, 22)

Answer

f(x) = (x + 4)² + 22; (4, 22)

Answer

f(x) = (x + 4)² - 10; (4, -10)

Question 11

What are the zeros of the function defined by the expression x² - 7x - 30?

Accepted Answer

10 and -3

Answer

3 and -10

Answer

15 and 2

Answer

15 and -2

Question 12

Consider the equation 3(x - 5)² + 6 = 54.

What is the greatest value of x that makes the equation true?

Accepted Answer

9

Answer

-1

Answer

1

Answer

-9

Question 13

Consider the expression (x²- 4)(x + 3).

Select all values of x for which (x²- 4)(x + 3) = 0.

Accepted Answer

-2

Accepted Answer

2

Accepted Answer

-3

Answer

-4

Answer

3

Question 14

Select all values of x for which f(x) = g(x).

Accepted Answer

-1

Accepted Answer

4

Answer

-2

Answer

1

Answer

3

Question 15

A polynomial function contains the factors x, x-3, and x + 1.

Which graphs could represent the polynomial function? Select all that apply.

Accepted Answer

Option E is correct

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 16

The cost of renting a car from Big Cars includes an administration fee and a fee for each mile driven. This is modeled by f(x) = 0.23x + 30. What is the cost per mile?

Accepted Answer

$0.23

Answer

$0.53

Answer

$30

Answer

$30.23

Question 17

Jackie buys 3 hot dogs and 1 pretzel from a restaurant for $12.25. Sylvia buys 2 hot dogs and 4 pretzels from the same restaurant for $16.50.

Which system of equations can be used to determine the price of a hot dog, h, and a pretzel, p, at the restaurant?

Accepted Answer

3h + 1p = 12.25

2h + 4p = 16.50

Answer

2h + 1p = 12.25

3h + 4p = 16.50

Answer

3h + 2h = 12.25

1p + 4p = 16.50

Answer

2h + 4p = 12.25

3h + 1p = 16.50

Question 18

While shopping, Sofia finds a dress she likes at a discounted price. The price on the tag before the discount is p dollars. She must pay sales tax on the discounted price of the dress. Sofia calculates that she must pay p -0.1p + 0.05(0.9p) to buy the dress.

What does 0.9p represent?

Accepted Answer

the price of the dress after the discount, but before adding sales tax

Answer

the total amount that Sofia must pay to buy the dress

Answer

the price of the dress after adding sales tax, but before taking the discount

Answer

the amount of sales tax owed

Question 19

The equation A = 1750(1.04)^t represents an account balance t years after the account was created.

Which statement is correct?

Accepted Answer

The account balance will increase 4% each year.

Answer

The account balance will decrease 0.04% each year.

Answer

The account balance will increase 0.04% each year.

Answer

The account balance will decrease 4% each year.

Question 20

The Booneville History Museum had 25,000 visitors in 1980. The number of visitors has decreased by 2.5% each year since 1980.

Choose the function v(t) to represent the number of visitors to the Booneville History Museum t years after 1980.

Accepted Answer

v(t) = 25000(0.975)^t

Answer

v(t) = 25000(0.025)^t

Answer

v(t) = 25000(2.5)^t

Answer

v(t) = 25000(1.025)^t

Question 21

Which situation can be modeled by a linear function?

Accepted Answer

The employees at a local hardware store earn a $2-per-hour wage increase every year they work for the store.

Answer

The cost of living in a particular city doubles every 10 years.

Answer

Repeat customers of a neighborhood restaurant receive a coupon for $10 off a purchase of $100.

Answer

A real estate developer plans to increase the number of businesses in a shopping district by 15%.

Question 22

Tameka is comparing two savings plans. With Plan 1, Tameka starts with $500 and adds $500 every two months. With Plan 2, Tameka starts with $500 and adds 50% more every two months. The tables show the growth of the plans over several months. Amounts are rounded to the nearest whole dollar.

Which statements comparing the plans are true?

Select all that apply.

Accepted Answer

Plan 1 shows linear growth and Plan 2 shows exponential growth.

Accepted Answer

For the first six months, Plan 1 provides more money than Plan 2.

Accepted Answer

The average rate of change for Plan 2 always increase, so Plan 2 eventually provides more money than Plan 1.

Answer

Plan 1 shows linear growth and Plan 2 shows quadratic growth.

Answer

Because the average rate of change for Plan 1 is constant, Plan 1 eventually provides more money than Plan 2.

Question 23

A farmer performs an experiment to find the amount of fertilizer needed to increase crop yields. She uses different amounts of fertilizer, measured in pounds per acre (lb/acre). She then records the yields, in bushels per acre (bu/acre). Her results are shown in the table and graphed on the scatter plot.

Which equation best models the farmer's data?

Accepted Answer

y = -0.009x² + 2.13x - 43

Answer

y = 0.37x + 31

Answer

y = 32(1.006)^x

Answer

y = -0.009x² + 2.13x + 43

Question 24

Question 24.

Accepted Answer

340, 680, 1020, 1360, 1700, 2040, 2380

Answer

1, 2, 3, 4, 5, 6, 7

Answer

70, 140, 210, 280, 350, 420, 490

Answer

100, 200, 300, 400, 500, 600, 700

Question 25

Question 25.

Accepted Answer

Fewer students in third period than in fifth period scored a 70 or below.

Answer

The means of the two sets of data are equal.

Answer

The lower quartiles of the two sets of data are the same.

Answer

More students in third period than in fifth period scored an 87 or above.

Question 26

Question 26.

Accepted Answer

{20, 20, 20, 25, 25, 30, 30, 35, 35, 40, 40, 40, 40, 45, 45, 45, 45, 70, 70, 70, 70, 70, 70, 70, 90, 90, 90, 95, 95, 95, 95, 95, 95, 95, 95}

Answer

{25, 35, 45, 75, 95}

Answer

{0, 0, 6, 4, 8, 0, 0, 7, 0, 10}

Answer

{25, 25, 25, 30, 30, 30, 35, 35, 40, 40, 45, 45, 45, 45, 50, 50, 50, 50, 75, 75, 75, 75, 75, 75, 75, 95, 95, 95, 100, 100, 100, 100, 100, 100, 100}

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