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WorksheetsAlgebra I Semester Review
Total questions: 101
Worksheet time: 4hrs 7mins
Name
Class
Date
1.
Which of the following is the coefficient in this expression?
50 + 23x - 2
50 + 23x - 2
a)
63
b)
50
c)
-2
d)
23
2.
Which of the following is a constant in this expression?
36v + 27x -57
36v + 27x -57
a)
-57
b)
57
c)
27
d)
36
3.
What is the definition of a variable?
a)
It is a number that is by itself
b)
It is a letter that represents an unknown number
c)
It is a term
d)
It is the same as a coefficient
4.
What is a constant?
a)
A number that is attached to a variable
b)
A number that is by itself
c)
A letter that represents an unknown number
d)
A combination of variables and numbers
5.
An algebraic expression is made up of ________ which are separated by addition/subtraction symbols.
a)
words
b)
letters
c)
terms
d)
numbers
6.
What does it mean to simplify the expression?
a)
Multiply the terms
b)
Combine like terms by adding and subtracting
c)
Dividing the terms
d)
add or subtract the terms even if they are not alike
7.
What is the perimeter of the polygon?
a)
A
b)
B
c)
C
d)
D
8.
Simplify
a)
x - 11
b)
x + 19
c)
-x + 19
d)
3x - 19
9.
a)
6
b)
3
c)
4
d)
5
10.
a)
6
b)
3
c)
4
d)
5
11.
a)
A
b)
B
c)
C
d)
D
12.
What type of polynomial is this?
6x + 3
6x + 3
a)
binomial
b)
monomial
c)
trinomial
d)
quartnomial
13.
What type of polynomial is this?
100x
100x
a)
binomial
b)
trinomial
c)
monomial
d)
centnomial
14.
a)
A
b)
B
c)
C
d)
D
15.
a)
A
b)
B
c)
C
d)
D
16.
What is another word for finding the product?
a)
Adding
b)
Subtracting
c)
Multiplying
d)
Dividing
17.
In the following expression, how many variables are there?
73x- 6 + 45y
73x- 6 + 45y
a)
0
b)
1
c)
2
d)
3
18.
-11-5a = 6(5a + 4)
a)
-1
b)
-2
c)
-3
d)
-4
19.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4
20.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
21.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
22.
-8(-8x - 6) = -6x - 22
a)
2/5
b)
-1
c)
8/7
d)
2
23.
Solve the Equation:
2(6b + 1) = 4(b - 5) -2
2(6b + 1) = 4(b - 5) -2
a)
b = - 2.75
b)
b = -7/8
c)
b = 3
d)
b = -3
24.
r + 12 = 25
a)
37
b)
13
c)
300
d)
Answer not Given
25.
What is the solution?
a)
x = 4
b)
x = 6
c)
x = 96
d)
x = 144
26.
Solve.
a)
x = 15
b)
x = 40
c)
x = 48
d)
x = 37
27.
14p - 8 = 22 + 20p
a)
-5
b)
5
c)
30
28.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
29.
Solve the inequality.
a)
a > 4
b)
a > 2
c)
a > 6
d)
a < 6
30.
Write an inequality for this situation:
We need to make at least $10,000
We need to make at least $10,000
a)
x < 10000
b)
x > 10000
c)
x ≤ 10000
d)
x ≥ 10000
31.
Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.
You are driving, and the maximum speed limit is 55.
a)
s < 55
b)
s > 55
c)
s ≤ 55
d)
s ≥ 55
32.
-7x > -14
a)
x<2
b)
x<-2
33.
Solve:
3(y+5)≥21
3(y+5)≥21
a)
y≤2
b)
y≥2
c)
y≥12
d)
y≤12
34.
Solve:
-3≤2x-1≤7
-3≤2x-1≤7
a)
-1≤x≤3
b)
-2≤x≤3
c)
-1≤x≤4
35.
Solve:
4x-2<-10 or 5x+2>12
4x-2<-10 or 5x+2>12
a)
x<-3 or x>3
b)
x<-3 or x>2
c)
x<-2 or x>2
36.
Solve:
|2x-1|=7
|2x-1|=7
a)
x=4 and x=-3
b)
x=4
c)
x=4 and x=3
d)
No Solution
37.
Solve:
|3x+9|<6
|3x+9|<6
a)
x<-1
b)
-1<x<5
c)
x<5
d)
-5<x<-1
38.
Solve:
|4x-8|≥12
|4x-8|≥12
a)
x≥5
b)
x≥5 or x≤-1
c)
x≤-1
d)
x≥1 or x≤-5
39.
Solve and graph:
a)
A
b)
B
c)
C
d)
D
40.
Write an inequality for Graph 3.
a)
x ≤ -2 AND x > 5
b)
x ≤ -2 OR x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x < 5
41.
Write an inequality for Graph 2.
a)
-2 ≤ x < 5
b)
x ≤ -2 AND x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x ≤ 5
42.
Your family needs 2 gallons of water this week, but you don’t want to buy any more than 8 gallons. Write an inequality representing the possible gallons of water you could buy this week.
a)
2 ≤ x ≤ 8
b)
2< x < 8
c)
8 ≥ x ≥ 2
d)
2> x > 8
43.
You need at least 5 apples today, but you don’t want to buy any more than 10 apples. Write an inequality representing the possible number of apples you could buy today.
a)
5 < m < 10
b)
5 ≤ m < 10
c)
5 < m ≤ 10
d)
5 ≤ m ≤ 10
44.
Match the graph with its inequality.
a)
a > 11
b)
a < 11
c)
a ≥ 11
d)
a ≤ 11
45.
To qualify for an award, a student volunteers no less than 5 hours each week at the local hospital. Write an inequality that represents how many hours the student volunteers each week.
a)
X < 5
b)
X > 5
c)
X ≥ 5
d)
X ≤ 5
46.
Which inequality is represented by the words " no more than" or "at most"?
a)
<
b)
>
c)
≤
d)
≥
47.
Which inequality is represented by the words " at least"?
a)
<
b)
>
c)
≤
d)
≥
48.
Solve the equation for x:
a)
17
b)
16
c)
15
d)
14
49.
Write the following in interval notation
x < 8
x < 8
a)
[8, ∞)
b)
(8, -∞)
c)
(-∞, 8]
d)
(-∞, 8)
50.
Use interval notation to represent the number line.
a)
(3, ∞)
b)
[3, ∞)
c)
(-∞,3)
d)
(-∞,3]
51.
Is this table a function or not a function?
a)
Function
b)
Not a Function
52.
Is this table a function or not a function?
a)
Function
b)
Not a function
53.
Let w(x) = 3x - 7. If w(x) = 14, find x.
a)
7
b)
35
c)
2.33333
d)
-49
54.
What is f(1)?
a)
1
b)
5
c)
0
d)
4
55.
Find the slope of a line given by the points (-3,7) (-3,2)
a)
0
b)
Undefined
c)
-7
d)
9
56.
Given the table, write the equation in the slope-intercept form.
a)
y = 1/3x + 6
b)
y = 3x + 6
c)
y = 2x + 6
d)
y = 1/2x + 6
57.
Write the equation of a line through the points (-4, 7) and (-6, 9).
a)
y = -x + 3
b)
y = -2x + 3
c)
y = -x + 7
d)
y = -2x + 7
58.
Write the following equation in slope intercept form:
-x + 3y = 9
-x + 3y = 9
a)
y = 1/3x + 3
b)
y = 1/3x + 9
c)
y = -1/3x + 3
d)
3y = x + 9
59.
Write the equation of the line.
a)
y= -1x-3
b)
y= -3x-1
c)
y=(-1/3)x-1
d)
y= -3x-3
60.
Write the equation of the PINK line.
a)
A
b)
B
c)
C
d)
D
61.
Write the equation of the PINK line.
a)
A
b)
B
c)
C
d)
D
62.
Dr. Davis keeps a record in graph form of how far her car travels and the number of gallons of gasoline it uses.
What is the slope of the graph?
What is the slope of the graph?
a)
64
b)
128
c)
32
d)
16
63.
A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change? (HINT: These make 2 coordinate points)
a)
200 ft / hour
b)
150 ft/ hour
c)
300 ft/hour
d)
75 ft/ hour
64.
Does the graph represent a function?
a)
Yes, because the vertical line test shows there are no repeating input values
b)
No, because the vertical line test shows there are repeating input values
65.
Which graph does NOT describe a function?
a)
F
b)
G
c)
H
d)
J
66.
Evaluate f(-2) if f(x) = x2+ 3
a)
-1
b)
1
c)
7
d)
-7
67.
Given h(x) = 5 - 9x, find h(8).
a)
h(8) = -360
b)
h(8) = -67
68.
What is the x and y intercept for the following equation ?
4x - 10y = 20
4x - 10y = 20
a)
x - int = (4, 0)
y-int = (0, -10)
y-int = (0, -10)
b)
x-int = (5, 0)
y-int = (0, 2)
y-int = (0, 2)
c)
x - int = (5, 0)
y int = (0, -2)
y int = (0, -2)
d)
x -int = (4, 0)
y -int = (0, -10)
y -int = (0, -10)
69.
Which statement best describes "m" in y=mx+b?
a)
x- intercept
b)
y - intercept
c)
slope
d)
bee
70.
Which statement best describes "b" in y=mx+b?
a)
x-intercept
b)
y- intercept
c)
Slope
d)
Bee
71.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
72.
What is the equation of a line that is perpendicular to the line y = 3x - 6 and passes through the point (15,5).
a)
y = -3x + 10
b)
y= 1/3x +10
c)
y = -1/3x +10
d)
y = -1/3x -15
73.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
the same
c)
one is positive, one is negative
d)
always 1
74.
a)
-2
b)
INFINITELY MANY SOLUTIONS
c)
NO SOLUTION
d)
-13
75.
a)
-2
b)
5
c)
-12
d)
3
76.
What is the range of the graph?
a)
1 ≤ x ≤ 5
b)
1 < x < 5
c)
1 ≤ y ≤ 5
d)
1 < y < 5
77.
Solve for x
a)
48.5
b)
32
c)
68
d)
23.5
78.
Solve for x:
a)
x = yb - v
b)
x = by - v
c)
x = by + v
79.
Evaluate f(-4) = 3x
a)
-81
b)
81
c)
1/81
d)
-1/81
80.
Evaluate f(2)= -7x
a)
49
b)
-49
c)
-14
d)
14
81.
What type of function is the graph above?
a)
Linear
b)
Quadratic
c)
Exponential
d)
None
82.
Is the pictured graph growth, decay, or linear or none?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
83.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
84.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
85.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
86.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
87.
Find the GCF of the terms.
a)
2xy
b)
4xy
c)
8(x^2)(y)
d)
2(x^2)(y^2)
88.
a)
A
b)
B
c)
C
d)
D
89.
Factor the following term:
50x (x+1) -1 (x+1)
50x (x+1) -1 (x+1)
a)
(x+1) (50x-1)
b)
(1-50x)(x+1)
c)
(x-1)(50x-1)
d)
(x+1) (x+51x)
90.
Factor by grouping.
a)
A
b)
B
c)
C
d)
D
91.
Factor.
a)
(x+2) (x+9)
b)
(x-2) (x-9)
c)
(x+3) (x+6)
d)
(x-3) (x-6)
92.
Factor.
a)
(k-14) (k+11)
b)
(k-11) (k+14)
c)
(k-7) (k+5)
d)
8 (k+14) (k+5)
93.
a)
A
b)
B
c)
C
d)
D
94.
Is this a perfect square trinomial? If yes, factor. If not, explain.
a)
yes; (x-3)^2
b)
yes; (x+3)^2
c)
no; (x^2) & 9 are not perfect squares
d)
no; the two terms of (2*a*b) does not equal 6.
95.
Can you do the difference of two squares? If yes, factor. If not, explain.
a)
Yes, (5m+3) (5m-3)
b)
Yes, (5m - 3) (5m -3)
c)
No; you can't take the square root of -9
d)
No; b/c (25m^2) isn't a perfect square.
96.
Factor completely.
a)
(1 + 2x) (1- 2x) (5x + 7)
b)
( 1 + 2x) (5x + 7)
c)
(1 - 2x) (5x + 7)
d)
(1 + 2x) (1 - 2x) (5x + 7)
97.
Is this factored completely?
a)
Yes, it's completely factored.
b)
No! You can do the different of two squares with ((x^2) + 9)
c)
No! You can factor out a X.
98.
(x+4)2
a)
x2+16
b)
x2-16
c)
x2+8x+16
d)
x2+8x-16
99.
Solve
a)
-4, 2
b)
-2, 4
c)
-16
d)
-4
100.
x3 + 11x2 + 10x
a)
(x+1)(x+10)
b)
x(x+1)(x+10)
c)
(x2+1)(x+10)
d)
PRIME
101.
Factor:
3x² + 5x - 12
3x² + 5x - 12
a)
(3x + 4)(x-3)
b)
(3x - 4)(x + 3)
c)
(3x + 3)(x -4)
d)
(3x - 3)(x + 4)
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