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Algebra 1A Final Exam Review

Total questions: 65

Worksheet time: 4hrs 30mins

Name
Class
Date
1.
Match the clue word with the operation:  
SUM
a)
Add 
b)
Subtract
c)
Multiply 
d)
Divide
2.
Match the clue word with the operation: 
PRODUCT
a)
Add 
b)
Subtract 
c)
Multiply
d)
Divide
3.
Match the clue word with the operation: 
DIFFERENCE 
a)
Add 
b)
Subtract
c)
Multiply 
d)
Divide
4.
Match the clue word with the operation: 
QUOTIENT
a)
Add 
b)
Subtract
c)
Multiply 
d)
Divide
5.
The word "of" represents what operation?
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
6.
What word phrase can you use to represent "5x + 2"?
a)
five times the sum of a number x and two
b)
two times the sum of a number x and five
c)
a number x times the sum of five and two
d)
the sum of five times a number x and two
7.

Match the verbal expression with the following algebraic expression.


¼k + 8

a)

Eight more than one-fourth a number k

b)

The difference of one-fourth a number k and 8

c)

The sum of one-fourth a number k and 8

d)

Eight less than a the sum of one-fourth and k

8.
Which of the following expressions would need parenthesis?
a)
4 times the difference of a number and 8
b)
4 times a number
c)
Five times a number increased by 7
d)
15 less than a number multiplied by 12
9.
two times x, increased by five
a)
2x - 5 
b)
2x + 5 
c)
2(x - 5) 
d)
2(x + 5) 
10.
(7 + 41) ÷ 2 – 15
a)
19
b)
9
c)
25
d)
3
11.
Simplify the following:
5 - 62 ÷ 4 - 3
a)
1
b)
-10.75
c)
-31
d)
-7
12.
Simplify:
[25-(13+4)+4] ÷ 3
a)
6
b)
2
c)
3
d)
4
13.
40 - 24 + 8
a)
40
b)
32
c)
24
d)
42
14.
14 + 8 x 7 - 3 = 
a)
46
b)
122
c)
88
d)
67
15.
22 + 32 x (7+1)
a)
77
b)
76
c)
78
d)
79
16.
162- 2 - (6x10) + 2- 8
a)
160
b)
182
c)
190
d)
198
17.
6 x (22 + 8) / 2
a)
36
b)
14
c)
28
d)
256
18.

19 + a = -50

a)

a = -950

b)

a = -69

c)

a = -31

d)

a = -50/19

19.
x - 8 = -5 
a)
13
b)
-13
c)
3
d)
-3
20.

What mathematical operation would you solve this equation for x:

9x=153?

a)

multiplication

b)

division

c)

addition

d)

subtraction

21.
If one roll of masking tape costs $1.15, how many rolls can Emma buy  with $5.75?
a)
1.15(5.75) = x
b)
5.75x = 1.15
c)
1.15x = 5.75
d)
x = 1.15/ 5.75
22.
5.    6b = 30
a)
x = 36
b)
x = 24
c)
x = 180
d)
x = 5
23.
Solve the equation
3x = 27. 
a)
x = 24
b)
x = 81
c)
x = 9
24.
33 = 4a - 7
a)
a=-10
b)
a=10
c)
a=4.5
25.
-3a + 8 = 14
a)
a= -2
b)
a= -7.5
c)
a= 2
d)
a= 6
26.
3 + (14)a = 31
a)
a= 28
b)
a= 112
c)
a= 7
d)
a= 67
27.
(a + 3)= 3
a)
a= 18
b)
a= 21
c)
a= 4
d)
a= 11
28.
A relation where every input yields one and only one output is called what?
a)
Relation
b)
Linear
c)
Exponential
d)
Function
29.
Is this relation a function?
a)
True
b)
False
30.
Is this a function? Explain.
a)
Yes; it passes the horizontal line test.
b)
No; it is not a straight line.
c)
Yes; it passes the vertical line test.
d)
No; there is a line connecting the dots.
31.
a)
Function
b)
Not a Function
32.
In slope intercept form (y=mx+b) what is the "b"?
a)
The y-intercept
b)
The x-intercept
c)
The slope (rate of change)
d)
A point
33.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
34.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
35.
What is the y-intercept for the given graph?
a)
-5
b)
5
c)
1
d)
-1
36.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
37.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2
d)
-2
38.
Which is the graph of y=-x+2?
a)
A
b)
B
c)
C
d)
D
39.
Identify the y-intercept for the function:
y=-3x
a)
-3
b)
0
c)
1
d)
-1
40.
What is the slope of the equation?
y = -3x + 4
a)
-3
b)
4
c)
-4
d)
3
41.
Which of the following is in slope-intercept form?
a)
y=10x-7
b)
y-5=3(x-1)
c)
5x-y=12
d)
6x+2y-15=0
42.
Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
a)
y + 7 = -1/4(x - 4)
b)
y - 4 = -1/4(x + 7)
c)
y + 7 = 4(x - 4)
d)
y - 7 = -1/4(x - 4)
43.
Write the equation in point-slope form of the line that passes through the given point and has the given slope:
 (-2, -1); m= -3
a)
y + 1 = -3(x - 2)
b)
y + 1 = -3(x + 2)
c)
y - 1 = 3(x - 1)
d)
y + 2 = -3(x + 1)
44.
What type of slope?
a)
negative
b)
positive
c)
zero slope
d)
downward slope
45.
What type of slope?
a)
undefined
b)
positive slope
c)
negative slope
d)
zero slope
46.

Convert the following equation into standard form:

y = -2x - 9

a)

-2x + y = -9

b)

2x - y = 9

c)

2x + y = -9

d)

2x - y = -9

47.

Convert the following equation into standard form:

y + 2 = -5x - 4

a)

-5x + y = -6

b)

5x + y = -6

c)

5x - y = 6

d)

-5x + y = -2

48.
4x+8y=20
-4x+2y=-30
a)
(-7,1)
b)
(2,-5)
c)
(-2,5)
d)
(7,-1)
49.
−4x − 4y = 0
4x + 4y = 0 
a)
(−6, −4) 
b)
Infinite number of solutions  
c)
(−6, 10) 
d)
(6, 4) 
50.
What is the solution? 
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
51.
This system has _____ solutions
a)
no
b)
1
c)
2
d)
Infinitely many
52.
Solve:
y = -1x - 5
4x - 8y = 4
a)
(-3, -2)
b)
(5, -7)
c)
(3, 9)
d)
(-5, 4)
53.
y = 2x + 1
3x + y = 16
a)
x = 3
b)
(2, 7)
c)
(3, 5)
d)
(3, 7)
54.
y = 3x
2x + y = 20
a)
(4, 8)
b)
(3, 9)
c)
(2, 6)
d)
(4, 12)
55.
Which of the following shows the solution to the system?
 y= -1/4x + 4
y = 2x + 2
a)
A
b)
B
c)
C
d)
D
56.

Solve the system by graphing

y=-x-9

3x-y=-11

a)
b)
c)
d)
57.

Solve the system by graphing

-3x-y=10

4x-4y=8

a)
b)
c)
d)
e)

no solution

58.
Write the equation of the line passes through the point (3,-1) and has a slope of 2.
a)
a
b)
b
c)
c
d)
d
59.
Write the equation of the line passes through the point (2,1) and has a slope = 4.
a)
a
b)
b
c)
c
d)
d
60.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
61.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
62.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
63.
y = 3x +2
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
64.
-6x + y = 2
6x + y = 2
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
65.
What is the slope of a line parallel to the line whose equation is:  -2x + y = - 7?
a)
-2
b)
1/2
c)
-1/2
d)
2