Quiz about Algebra Review

Question 1

Which value of x will make the equation true?
-3(x + 4) - 2 = -7x + 18

Accepted Answer

8

Answer

4

Answer

6

Answer

10

Question 2

Which of the equations below represents the third step of the solution process?
Step 1: 3(cx - 7) -3x = -15
Step 2: 6x - 21 - 3x = -15
Step 3: ? ? ? ?
Step 4: 3x = 6
Step 5: x = 2

Accepted Answer

3x - 21 = -15

Answer

3x + 21 = -15

Answer

3x = -36

Answer

21 - 3x = -15

Question 3

The graph represents the cost to produce Gizmo's video game called Race Thru the Maze. Which of the following statements is true?

Accepted Answer

To produce 60 games, it will cost $1000.

Answer

To produce 60 games, it will cost $1.

Answer

To produce 1 game it will cost $60.

Answer

The initial cost to produce the games is half a dollar.

Question 4

Which set of coordinates does not describe a function?

Accepted Answer

{(5, 2), (2, 4), (1, 9), (1, -1)}

Answer

{(0, -6), (-5, -6), (-1, 4), (2, 7)}

Answer

{(-7, -5), (2, 2), (-3, 1), (5, -17)}

Answer

{(8, 2), (-13, -4), (5, 1), (2, 0)}

Question 5

Which of the graphs in the image are functions? Use the vertical line test to prove if it is or not.

Accepted Answer

graph 1, graph 2, graph 4, graph 5

Answer

graph 1, graph 2, graph 3, graph 4, graph 5, graph 6

Answer

graph 3, graph 6

Answer

graph 2, graph 3, graph 4, graph 5, graph 6

Question 6

Xbox Live is promoting a new game plan in which the initial cost is $64.99 with a $1.50 charge for each day you play. The relationship for the total cost can be expressed by the function f(x) = 1.50x + 64.99, where x represents the number of days you play.  Which statement below is a correct representation of the slope?

Accepted Answer

There is $1.50 cost per day that xbox live will charge.

Answer

The initial cost that will be charged is $64.99.

Answer

The number of days you play will be unlimited.

Answer

If you play 10 days it will cost you $74.99.

Question 7

Find the rate of change between x and y using the table.

Accepted Answer

-2

Answer

0

Answer

2

Answer

4

Question 8

Find the rate of change between x and y using the table.

Accepted Answer

3

Answer

-1

Answer

0

Answer

1

Question 9

For the function y = 2x + 4, what happens to the value of y if the value of x increases by 1?

Accepted Answer

The value of y increases by 2.

Answer

The value of x decreases by 2.

Answer

The value of y decreases by 2.

Answer

The value of x increases by 2.

Question 10

For the function y = 2x - 4, what happens to the value of y if the value of x increases by 1?

Accepted Answer

The value of y increases by 2.

Answer

The value of x decreases by 2.

Answer

The value of y decreases by 2.

Answer

The value of x increases by 2.

Question 11

For the function y = -2x + 4, what happens to the value of y if the value of x increases by 1?

Accepted Answer

The value of y decreases by 2.

Answer

The value of x decreases by 2.

Answer

The value of y increases by 2.

Answer

The value of x increases by 2.

Question 12

Which of the following equations describes the same function in the given table?

Accepted Answer

y = 5x - 2

Answer

y = (1/5)x - 2

Answer

y = 5x + 2

Answer

y = (1/5)x + 2

Question 13

What is the range of the function f(x) = 3x - 1 when the domain is {-3, -2, -1}?

Accepted Answer

{-10, -7, -4}

Answer

{-9, -6, -3}

Answer

{10, 7, 4}

Answer

{-3, -2, -1}

Question 14

What is the range of the function f(x) = 2x² when the domain is {-5, 0, 5}?

Accepted Answer

{50, 0, 50}

Answer

{-10, 0, 10}

Answer

{-50, 0, 50}

Answer

{-5, 0, 5}

Question 15

Six Flags is celebrating the season with Holiday In the Park. The price of $65 for each person includes a season pass for that person next year. The function for the total cost can be represented by h(x) = 65x. The park attendants have noticed that the number of people traveling together in a car can be shown by the domain {2,4,8}. What would be the range for the total cost of the tickets for the given domain of the people?

Accepted Answer

{130, 260, 520}

Answer

{2,4,8}

Answer

{67, 69, 73}

Answer

{-130, -260, -520}

Question 16

The function f(x) = 35 + 15x represents the amount of money, in dollars, Mr. Lewis earns for working x hours. How much money does Mr. Lewis earn for working 25 hours?

Accepted Answer

410

Answer

890

Answer

-0.5

Answer

35

Question 17

A functional relationship is shown in this table. What is the value of the function when x is 3?

Accepted Answer

5

Answer

1

Answer

2

Answer

-1

Question 18

Given the function h(x) = -(3/4)x + 8, find h(4).

Accepted Answer

5

Answer

6

Answer

7

Answer

8

Question 19

Daniel was given a $70 gift card to Games-On-Line. Each day he plays, the company deducts $3.50 from his card. The function g(x) = -3.50x + 70 can be used to represent the remaining balance on his gift card. Which table best describes g(x), the balance remaining on the gift card, after he plays x number of days.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 20

The data in the table shows the cost of renting a bicycle by the hour, including a deposit. If hours, h, were graphed on the horizontal axis, and cost, c, were graphed on the vertical axis, what would be the equation of a line that fits the data?

Accepted Answer

c = 5h + 5

Answer

c = 5h

Answer

c = (1/5)h+5

Answer

c = 5h - 5

Question 21

The tables below show the amount of data in kilobytes that was downloaded by a computer over time. Which of the following tables has an equivalent rate of change of 4.5 Kilobytes per second?

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 22

A graph of a linear function has a slope of -1/3 and a y-intercept of 2. Which of the following equations represents this function?

Accepted Answer

f(x) = -(1/3)x + 2

Answer

f(x) = (1/3)x - 2

Answer

f(x) = -2x + 1/3

Answer

f(x) = 2x - 1/3

Question 23

Which equation represents the line that contains (1, -4) and has a slope of -2?

Accepted Answer

y = -2x - 2

Answer

y = -2x - 4

Answer

y = -2x - 6

Answer

y = -2x - 8

Question 24

Which describes the graph of f(x) = (1/2)x - 4?

Accepted Answer

A line with a slope of (1/2) and a y-intercept of -4.

Answer

A line with a slope of (1/2) and a y-intercept of 4.

Answer

A line with a slope of -(1/2) and a y-intercept of 4.

Answer

A line with a slope of -(1/2) and a y-intercept of -4.

Question 25

What is the slope of the line y = -(1/3)x - (2/3)?

Accepted Answer

-1/3

Answer

1/3

Answer

-2/3

Answer

2/3

Question 26

What is the y-intercept of the line y = -(1/3)x - (2/3)?

Accepted Answer

-2/3

Answer

-1/3

Answer

1/3

Answer

2/3

Question 27

Which function represents the linear pattern shown in the table?

Accepted Answer

f(x) = x + 1

Answer

f(x) = 3x - 5

Answer

f(x) = 2x -4

Answer

f(x) = x + 5

Question 28

Which equation represents a line where the m = -5/2 and b = -4?

Accepted Answer

y = -(5/2)x - 4

Answer

y = -4x - (5/2)

Answer

y = (5/2)x - 4

Answer

y = 4x - (5/2)

Question 29

What is the x-intercept of the function 5x + y = 30?

Accepted Answer

(6, 0)

Answer

(0, 6)

Answer

(0, 30)

Answer

(30, 0)

Question 30

What is the y-intercept of the function 5x + y = 30?

Accepted Answer

(0, 30)

Answer

(0, 6)

Answer

(6, 0)

Answer

(30, 0)

Question 31

What is the zero of the function g(x) = (3/4)x + 6?

Accepted Answer

-8

Answer

6

Answer

-6

Answer

8

Question 32

What is the equation in standard form of the line that passes through the point (3, 4) and has a slope of -2/3?

Accepted Answer

2x + 3y = 18

Answer

3x + 2y = 18

Answer

2x + 3y = -18

Answer

2x - 3y = 18

Question 33

Which equation represents the line passing through the points (-2, 12) and (-1, 10)?

Accepted Answer

y = -2x + 8

Answer

y = 2x - 8

Answer

y = -2x - 8

Answer

y = (2/3)x + 10

Question 34

Which equation represents the line that passes through the point (-3, -12) and has a slope of 2/3?

Accepted Answer

y + 12 = (2/3)(x + 3)

Answer

y - 12 = (2/3)(x - 3)

Answer

y + 3 = (2/3)(x + 12)

Answer

y - 3 = (2/3)(x - 12)

Question 35

Which of the following equations represents a line that is parallel to y = -(1/2)x + 4, and passes through the point (-3, 5)?

Accepted Answer

y - 5 = -(1/2)(x + 3)

Answer

y + 3 = -(1/2)(x - 5)

Answer

y - 5 = 2(x + 3)

Answer

y + 3 = 2(x - 5)

Question 36

What is the slope of a line perpendicular to the line whose equation is 5x + 3y = 8?

Accepted Answer

3/5

Answer

5/3

Answer

-5/3

Answer

-3/5

Question 37

Look at the situation represented on the graph. What is the y-intercept?

Accepted Answer

1200

Answer

8

Answer

1000

Answer

100

Question 38

Look at the situation represented on the graph. What is the x-intercept?

Accepted Answer

8

Answer

1200

Answer

1000

Answer

100

Question 39

Look at the situation represented on the graph. If the rate of change was changed to 100 gallons per hour, what would happen to the time it takes to drain the pool?

Accepted Answer

It would take four more hours to drain.

Answer

It would take four fewer hours to drain.

Answer

It would take two fewer hours to drain.

Answer

It would take two more hours to drain.

Question 40

Michelle needs to frame 15 pictures.  She purchased a combination of wooden frames, w, and metal frames, m, that cost a total of $68.70 before tax.  Each wooden frame costs $5.60 each, and the metal frame costs $3.90. Which system of equations could be used to find the number of wooden frames and the number of metal frames that Michelle bought?

Accepted Answer

5.60w + 3.90m = 68.70
w + m = 15

Answer

3.90w + 5.60m = 68.70
w + m =

Answer

5.60w + 3.90m = 15
w + m = 68.70

Answer

w + m = 68.70
w + m = 15

Question 41

What is the value of x for the solution to the following system of equations?
y = -(1/2)x
y = -x - 3

Accepted Answer

-6

Answer

3

Answer

6

Answer

-3

Question 42

What is the y value of the solution to the following system of equations?
-4x - 3y = -33
6x + 2y = 35

Accepted Answer

5.8

Answer

3.9

Answer

-3.9

Answer

-5.8

Question 43

What is the solution to the following system of equations?
3x - 2y = 11
x + 2y = 9

Accepted Answer

(5, 2)

Answer

(2, 5)

Answer

(-2, -5)

Answer

(2, -5)

Question 44

Simplify the following expression:
(2x²*6x⁵)/3x⁴

Accepted Answer

4x3

Answer

12x¹⁰/3x⁴

Answer

4x6

Answer

4x11

Question 45

Simplify the following expression:
9x²y³/3xy⁵

Accepted Answer

3x/y2

Answer

3xy

Answer

3x2y8

Answer

3xy2

Question 46

Simplify the following expression:
9x⁵y⁶/27x³y³

Accepted Answer

x2y3/3

Answer

3x2y3

Answer

1/3x2y3

Answer

-3x2y3

Question 47

Which expression is equivalent to 4x^-1y^-2?

Accepted Answer

4/xy2

Answer

4xy/-1

Answer

4x/y2

Answer

-4/xy2

Algebra Review

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