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WorksheetsAlgebra Review
Total questions: 53
Worksheet time: 4hrs 25mins
Name
Class
Date
1.
Which value of x will make the equation true?
-3(x + 4) - 2 = -7x + 18
-3(x + 4) - 2 = -7x + 18
a)
4
b)
6
c)
8
d)
10
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
Step 1: 3(cx - 7) -3x = -15
Step 2: 6x - 21 - 3x = -15
Step 3: ? ? ? ?
Step 4: 3x = 6
Step 5: x = 2
a)
3x + 21 = -15
b)
3x = -36
c)
21 - 3x = -15
d)
3x - 21 = -15
3.
What is the equation of the graph in the image?
a)
y < -2x + 2
b)
y > -2x + 2
c)
y ≤ -2x + 2
d)
y ≥ -2x + 2
4.
What is the equation of the graph in the image?
a)
y < -(5/4)x + 3
b)
y > -(5/4)x + 3
c)
y ≤ -(5/4)x + 3
d)
y ≥ -(5/4)x + 3
5.
The graph represents the cost to produce Gizmo's video game called Race Thru the Maze. Which of the following statements is true?
a)
To produce 60 games, it will cost $1.
b)
To produce 60 games, it will cost $1000.
c)
To produce 1 game it will cost $60.
d)
The initial cost to produce the games is half a dollar.
6.
Which set of coordinates does not describe a function?
a)
{(5, 2), (2, 4), (1, 9), (1, -1)}
b)
{(0, -6), (-5, -6), (-1, 4), (2, 7)}
c)
{(-7, -5), (2, 2), (-3, 1), (5, -17)}
d)
{(8, 2), (-13, -4), (5, 1), (2, 0)}
7.
Which of the graphs in the image are functions? Use the vertical line test to prove if it is or not.
a)
graph 1, graph 2, graph 3, graph 4, graph 5, graph 6
b)
graph 1, graph 2, graph 4, graph 5
c)
graph 3, graph 6
d)
graph 2, graph 3, graph 4, graph 5, graph 6
8.
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?
a)
The initial cost that will be charged is $64.99.
b)
There is $1.50 cost per day that xbox live will charge.
c)
The number of days you play will be unlimited.
d)
If you play 10 days it will cost you $74.99.
9.
For Valentine’s Day, Jacob has saved $15 to spend on roses for his girlfriend. Each rose costs $2. Which solution set below represents the number of roses Jacob could buy his girlfriend?
a)
x > 8
b)
x > 7
c)
x ≤ 8
d)
x ≤ 7
10.
Find the rate of change between x and y using the table.
a)
-2
b)
0
c)
2
d)
4
11.
Find the rate of change between x and y using the table.
a)
-1
b)
0
c)
1
d)
3
12.
For the function y = 2x + 4, what happens to the value of y if the value of x increases by 1?
a)
The value of x decreases by 2.
b)
The value of y decreases by 2.
c)
The value of y increases by 2.
d)
The value of x increases by 2.
13.
For the function y = 2x - 4, what happens to the value of y if the value of x increases by 1?
a)
The value of x decreases by 2.
b)
The value of y decreases by 2.
c)
The value of y increases by 2.
d)
The value of x increases by 2.
14.
For the function y = -2x + 4, what happens to the value of y if the value of x increases by 1?
a)
The value of x decreases by 2.
b)
The value of y decreases by 2.
c)
The value of y increases by 2.
d)
The value of x increases by 2.
15.
Which of the following equations describes the same function in the given table?
a)
y = 5x - 2
b)
y = (1/5)x - 2
c)
y = 5x + 2
d)
y = (1/5)x + 2
16.
What is the range of the function f(x) = 3x - 1 when the domain is {-3, -2, -1}?
a)
{-9, -6, -3}
b)
{10, 7, 4}
c)
{-10, -7, -4}
d)
{-3, -2, -1}
17.
What is the range of the function f(x) = 2x2 when the domain is {-5, 0, 5}?
a)
{-10, 0, 10}
b)
{-50, 0, 50}
c)
{-5, 0, 5}
d)
{50, 0, 50}
18.
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?
a)
{2,4,8}
b)
{130, 260, 520}
c)
{67, 69, 73}
d)
{-130, -260, -520}
19.
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?
a)
410
b)
890
c)
-0.5
d)
35
20.
A functional relationship is shown in this table. What is the value of the function when x is 3?
a)
1
b)
2
c)
5
d)
-1
21.
Given the function h(x) = -(3/4)x + 8, find h(4).
a)
5
b)
6
c)
7
d)
8
22.
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.
a)
A
b)
B
c)
C
d)
D
23.
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?
a)
c = 5h
b)
c = (1/5)h+5
c)
c = 5h + 5
d)
c = 5h - 5
24.
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?
a)
A
b)
B
c)
C
d)
D
25.
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?
a)
f(x) = (1/3)x - 2
b)
f(x) = -2x + 1/3
c)
f(x) = -(1/3)x + 2
d)
f(x) = 2x - 1/3
26.
Which equation represents the line that contains (1, -4) and has a slope of -2?
a)
y = -2x - 2
b)
y = -2x - 4
c)
y = -2x - 6
d)
y = -2x - 8
27.
Which describes the graph of f(x) = (1/2)x - 4?
a)
A line with a slope of (1/2) and a y-intercept of 4.
b)
A line with a slope of (1/2) and a y-intercept of -4.
c)
A line with a slope of -(1/2) and a y-intercept of 4.
d)
A line with a slope of -(1/2) and a y-intercept of -4.
28.
What is the slope of the line y = -(1/3)x - (2/3)?
a)
-1/3
b)
1/3
c)
-2/3
d)
2/3
29.
What is the y-intercept of the line y = -(1/3)x - (2/3)?
a)
-1/3
b)
1/3
c)
-2/3
d)
2/3
30.
Which function represents the linear pattern shown in the table?
a)
f(x) = 3x - 5
b)
f(x) = 2x -4
c)
f(x) = x + 5
d)
f(x) = x + 1
31.
Which equation represents a line where the m = -5/2 and b = -4?
a)
y = -4x - (5/2)
b)
y = (5/2)x - 4
c)
y = 4x - (5/2)
d)
y = -(5/2)x - 4
32.
Jan’s family rented a boat at Lake Ouachita. They paid a rental fee of $25 plus $10 per hour. Which graph represents the total amount the family paid, as a function of time?
a)
A
b)
B
c)
C
d)
D
33.
What is the x-intercept of the function 5x + y = 30?
a)
(0, 6)
b)
(6, 0)
c)
(0, 30)
d)
(30, 0)
34.
What is the y-intercept of the function 5x + y = 30?
a)
(0, 6)
b)
(6, 0)
c)
(0, 30)
d)
(30, 0)
35.
What is the zero of the function g(x) = (3/4)x + 6?
a)
6
b)
-6
c)
-8
d)
8
36.
What is the equation in standard form of the line that passes through the point (3, 4) and has a slope of -2/3?
a)
3x + 2y = 18
b)
2x + 3y = -18
c)
2x - 3y = 18
d)
2x + 3y = 18
37.
Which equation represents the line passing through the points (-2, 12) and (-1, 10)?
a)
y = 2x - 8
b)
y = -2x - 8
c)
y = -2x + 8
d)
y = (2/3)x + 10
38.
Which equation represents the line that passes through the point (-3, -12) and has a slope of 2/3?
a)
y - 12 = (2/3)(x - 3)
b)
y + 3 = (2/3)(x + 12)
c)
y + 12 = (2/3)(x + 3)
d)
y - 3 = (2/3)(x - 12)
39.
Which of the following equations represents a line that is parallel to y = -(1/2)x + 4, and passes through the point (-3, 5)?
a)
y - 5 = -(1/2)(x + 3)
b)
y + 3 = -(1/2)(x - 5)
c)
y - 5 = 2(x + 3)
d)
y + 3 = 2(x - 5)
40.
What is the slope of a line perpendicular to the line whose equation is 5x + 3y = 8?
a)
5/3
b)
3/5
c)
-5/3
d)
-3/5
41.
Look at the situation represented on the graph. What is the y-intercept?
a)
1200
b)
8
c)
1000
d)
100
42.
Look at the situation represented on the graph. What is the x-intercept?
a)
1200
b)
8
c)
1000
d)
100
43.
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?
a)
It would take four more hours to drain.
b)
It would take four fewer hours to drain.
c)
It would take two fewer hours to drain.
d)
It would take two more hours to drain.
44.
Tickets to the movies are $7 for adults and $5 for children. A particular movie made a total of $4,434 revenue in one day. There were 762 total tickets sold. Which system of equations could be used to determine the number of adult and the number of children’s ticekts sold?
a)
7a = 4434
5c = 762
5c = 762
b)
7a + 5c = 762
a + c = 4434
a + c = 4434
c)
7a + 5c = 4434
a + c = 762
a + c = 762
d)
5a + 7c = 4434
a + c = 762
a + c = 762
45.
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?
a)
3.90w + 5.60m = 68.70
w + m =
w + m =
b)
5.60w + 3.90m = 68.70
w + m = 15
w + m = 15
c)
5.60w + 3.90m = 15
w + m = 68.70
w + m = 68.70
d)
w + m = 68.70
w + m = 15
w + m = 15
46.
What is the value of x for the solution to the following system of equations?
y = -(1/2)x
y = -x - 3
y = -(1/2)x
y = -x - 3
a)
-6
b)
3
c)
6
d)
-3
47.
What is the y value of the solution to the following system of equations?
-4x - 3y = -33
6x + 2y = 35
-4x - 3y = -33
6x + 2y = 35
a)
3.9
b)
5.8
c)
-3.9
d)
-5.8
48.
What is the solution to the following system of equations?
3x - 2y = 11
x + 2y = 9
3x - 2y = 11
x + 2y = 9
a)
(2, 5)
b)
(5, 2)
c)
(-2, -5)
d)
(2, -5)
49.
Simplify the following expression:
(2x2*6x5)/3x4
(2x2*6x5)/3x4
a)
12x10/3x4
b)
4x3
c)
4x6
d)
4x11
50.
Simplify the following expression:
9x2y3/3xy5
9x2y3/3xy5
a)
3xy
b)
3x2y8
c)
3xy2
d)
3x/y2
51.
Simplify the following expression:
9x5y6/27x3y3
9x5y6/27x3y3
a)
3x2y3
b)
x2y3/3
c)
1/3x2y3
d)
-3x2y3
52.
Which expression is equivalent to 4x-1y-2?
a)
4xy/-1
b)
4/xy2
c)
4x/y2
d)
-4/xy2
53.
Which expression is equivalent to 52⋅53?
a)
256
b)
56
c)
55
d)
255
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