WorksheetsAlgebra 1 Semester 1 Exam Review
Total questions: 90
Worksheet time: 7hrs 40mins
Name
Class
Date
1.
Evaluate the expression if a=3 and b=4.
10 + b
10 + b
a)
14
b)
13
c)
7
d)
6
2.
Which expression matches the phrase:
3 times a number
3 times a number
a)
3+y
b)
3y
c)
6 + 3y
d)
3 - y
3.
Which expression matches the phrase:
7 less than a number
7 less than a number
a)
7/n
b)
n-7
c)
7n
d)
n + 7
4.
Translate the words into an algebraic expression.
the product of 3 and a number
the product of 3 and a number
a)
3 + r = 6
b)
3(r)
c)
3 - r
d)
5 + 3 = r
5.
Which expressions represent the words:
a number divided by 6
a number divided by 6
a)
6r
b)
r/6
c)
6(r)
d)
6 + r
6.
Which expression represents "x cubed less than 7"?
a)
x3 - 7
b)
3x - 7
c)
7 - x3
d)
7 - 3x
7.
Evaluate 8a - b if a = 10 and b = 6
a)
74
b)
38
c)
1000
d)
9000
8.
Evaluate m² + 12q if m = 5 and q = -3
a)
10
b)
-25
c)
-11
d)
13
9.
Evaluate when a = 15:
2(a - 5) + 2
2(a - 5) + 2
a)
22
b)
27
c)
14
d)
7
10.
Solve the following:
-8 + (15-3) ÷ 4
-8 + (15-3) ÷ 4
a)
-5
b)
1
c)
-11
d)
11
11.
Solve the following:
(2 + 7 - 1) ÷ 22
(2 + 7 - 1) ÷ 22
a)
16
b)
2
c)
72.25
d)
8.75
12.
True or False?
2 + (4 x 5 - 2) + 8 = 28
2 + (4 x 5 - 2) + 8 = 28
a)
True
b)
False
13.
What would be my first step in solving this problem?
3 + 4 x 6 - 4
3 + 4 x 6 - 4
a)
addition
b)
multiplication
c)
subtraction
d)
exponents
14.
2f + f
a)
3f
b)
2f
c)
f
15.
Simplify the expression: 2x + 1 + 7x
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
16.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
17.
Combine like terms
3x + 2x + 3y - 7y
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
18.
6x + 2x + 1 + 4
a)
8x + 5
b)
2x - 3
c)
4x - 2
d)
8x + 12
19.
5(2x + 3)
a)
10x + 3
b)
10x + 15
c)
25x
d)
7x + 8
20.
Simplify the following expression:
-7x +5 (1 - 8x)
-7x +5 (1 - 8x)
a)
-33x + 5
b)
5 + 33x
c)
47x + 5
d)
5 - 47x
21.
Simplify the following expression:
x + 4 - 7(x - 5)
x + 4 - 7(x - 5)
a)
-33x + 19
b)
-47x2 + 21
c)
33x - 19
d)
-6x + 39
22.
Solve:
-4x = 24
-4x = 24
a)
20
b)
-20
c)
6
d)
-6
23.
Solve:
3x + 7 = -8
3x + 7 = -8
a)
5
b)
-5
c)
-12
d)
-18
24.
Solve:
7x - 3x - 8 = 24
7x - 3x - 8 = 24
a)
8
b)
-8
c)
3.2
d)
4
25.
Solve:
6(5x - 3) + 2 = 14
6(5x - 3) + 2 = 14
a)
2
b)
.5
c)
-1
d)
1
26.
Solve:
2(2x + 3) = -6(x + 9)
2(2x + 3) = -6(x + 9)
a)
1.2
b)
6
c)
-6
d)
7.5
27.
Solve:
7x + 19 = -2x + 55
7x + 19 = -2x + 55
a)
4
b)
14.8
c)
8.2
d)
-4
28.
Solve:
2(a + 4) = 2a - 8 + 4a
2(a + 4) = 2a - 8 + 4a
a)
3
b)
-3
c)
-4
d)
4
29.
Solve for a.
a)
a = pw
b)
a = p/w
c)
a = w/p
d)
a = w + p
30.
Solve for the indicated variable.
a)
A = l/w
b)
w = l/A
c)
w = A
d)
w = A/l
31.
Solving the formula P = 2L + 2W for W is not equivalent to which equation?
a)
(P-2L)/2 = W
b)
(P/2) - (2L/2) = W
c)
(1/2)P - L = W
d)
P - (1/2)L = W
32.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
33.
Match the graph with its inequality.
a)
a > 11
b)
a < 11
c)
a ≥ 11
d)
a ≤ 11
34.
When you graph an inequality, you use a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
c)
≤, <
d)
≥, >
35.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥
c)
≤, <
d)
≥, >
36.
Pick the correct letter for:
6 > x
6 > x
a)
A
b)
B
c)
C
d)
D
37.
Which graph matches the inequality
k < 3?
a)
A
b)
B
c)
C
d)
D
38.
Which graph matches the inequality
-2 ≥ n?
-2 ≥ n?
a)
A
b)
B
c)
C
d)
D
39.
4x - 2 ≤ -22
a)
x ≥ -5
b)
x ≥ -6
c)
x ≤ -6
d)
x ≤ -5
40.
a)
x > 2
b)
x > 5
c)
x >15
d)
x > 50
41.
Which is a solution of
5(2v + 3) - 10v > -10
a)
no solution
b)
v > 5
c)
v > -5
d)
all real numbers
42.
Solve:
3(x - 2) - 2x < 18
a)
x<24
b)
x>12
c)
x<12
d)
x>24
43.
Solve and graph the inequality.
a)
A
b)
B
c)
C
d)
D
44.
Solve and graph the inequality.
a)
A
b)
B
c)
C
d)
D
45.
Solve and graph the inequality.
a)
A
b)
B
c)
C
d)
D
46.
What type of slope?
a)
negative
b)
positive
c)
zero slope
d)
downward slope
47.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
48.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
49.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
50.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
51.
What type of slope?
a)
negative
b)
steep
c)
undefined
d)
zero slope
52.
Find the slope of the line.
a)
-2/1
b)
2/1
c)
-1/2
d)
1/2
53.
Find the slope when given (2, 3) (3, 5)
a)
1/2
b)
2
c)
-2
d)
4
54.
Find the slope when given the following (3, 5) (-2, 0)
a)
1
b)
-1
c)
-5/2
d)
3
55.
Find the slope when given the following points.
(2, 5) (-3, 5)
(2, 5) (-3, 5)
a)
-2
b)
0
c)
Undefined
d)
4/3
56.
What's the slope of the line that passes through (2, -1) and (2, -5)
a)
1/2
b)
Zero
c)
3
d)
Undefined
57.
How would you write the equation with a slope of 2/3 and a y-intercept of -3
a)
y=3/2x+3
b)
y=2/3-3
c)
y=2/3x-3
d)
y=2/3x+3
58.
How would you write the equation with a slope of 2/3 and a y-intercept of -3
a)
y=3/2x+3
b)
y=2/3-3
c)
y=2/3x-3
d)
y=2/3x+3
59.
What is the slope of the line through the points (1, 2) and (8, 6)?
a)
7/4
b)
4/7
c)
5/6
d)
6/5
60.
What is the slope of the line through the point (-1, 6) and (3, -4)?
a)
m = -5/2
b)
m = -1/2
c)
m = 5/3
d)
m = -3/4
61.
Write an equation
m = 5/4 through (-4, -3)
m = 5/4 through (-4, -3)
a)
y = 5/4x +2
b)
y = -5/4x + 2
c)
y = 2x - 5/4
d)
y = 3/4x + 2
62.
Write an equation of a line in slope-intercept form that has a slope of 4 and goes through the point (-2, -3).
a)
y=4x+5
b)
y=4x-3
c)
y=4x-5
d)
y=4x
63.
In slope intercept form (y=mx+b) what is the "m"?
a)
The y-intercept
b)
The x-intercept
c)
The slope (rate of change)
d)
A point
64.
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
65.
What is the slope of the equation?
y = -3x + 4
a)
-3
b)
4
c)
-4
d)
3
66.
Given the equation y = 2x+3, what is the slope?
a)
2
b)
x
c)
3
d)
y
67.
What is the y-intercept in the equation?
y = 5x - 4
a)
5
b)
-4
c)
-5
d)
4
68.
What is the y-intercept for the given graph?
a)
-5
b)
5
c)
1
d)
-1
69.
Identify the y-intercept for the linear equation: y=-3x
a)
-3
b)
0
c)
1
d)
-1
70.
Consider the equation:
y=-x+4
Identify the slope and y-intercept.
a)
m=4, b=-x
b)
m=-x, b=4
c)
m=1, b=4
d)
m=-1, b=4
71.
Write the following equation in slope intercept form:
y + 2 = -3(x - 5)
y + 2 = -3(x - 5)
a)
y = -3x + 17
b)
y = -3x + 13
c)
y = -3x - 13
d)
y = -3x - 17
72.
Find the equation of the line in slope-intercept form.
a)
y = - 1/4x - 3
b)
y = 1/3x + 3
c)
y = - 1/4x + 2
d)
y = 1/3x -3
73.
Which graph represents the equation:
y = 2x + 2
a)
b)
c)
d)
74.
Which graph represents the equation:
y = -4x + 4
a)
b)
c)
d)
75.
Solve for y
8x + 2y = -10
8x + 2y = -10
a)
y = -8x + 5
b)
y = -4x - 5
c)
y = -1/4 x - 10
d)
y = -1/4 x - 5
76.
What is coordinate R?
a)
(2,5)
b)
(0,1)
c)
(2,3)
d)
(1,0)
77.
What is Coordinate N?
a)
(7,6)
b)
(5,5)
c)
(6,6)
d)
(7,7)
78.
Ordered pair (0,0) is also known as the ___.
a)
y-axis
b)
x-axis
c)
origin
79.
What letter is located at (8, 5)?
a)
A
b)
B
c)
C
d)
D
80.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
81.
Which quadrant contains the point named by (2, 5)?
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
82.
In which quadrant is the following point?
(-3, 12)
(-3, 12)
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
83.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
84.
Name the quadrant where POINT B is located.
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
85.
The coordinates for the origin in the coordinate plane are________?
a)
(1,1)
b)
(0,0)
c)
(0,1)
d)
(1,0)
86.
Both coordinates of an ordered pair are negative numbers. Which quadrant is that point located?
a)
Quadrant 1
b)
Quadrant 2
c)
Quadrant 3
d)
Quadrant 4
87.
Which quadrant does the ordered pair (+,+) belong?
a)
Quadrant 1
b)
Quadrant 2
c)
Quadrant 3
d)
Quadrant 4
88.
Which quadrant does the ordered pair (-,+) belong?
a)
Quadrant 1
b)
Quadrant 2
c)
Quadrant 3
d)
Quadrant 4
89.
Which quadrant does the ordered pair (+,-) belong?
a)
Quadrant 1
b)
Quadrant 2
c)
Quadrant 3
d)
Quadrant 4
90.
Which point is in quadrant 3?
a)
(8, 5)
b)
(-9, 6)
c)
(-2, -1)
d)
(6, -4)
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