WorksheetsAlgebra I 1st Semester Exam Review
Total questions: 72
Worksheet time: 5hrs 18mins
Name
Class
Date
1.
What is a rational number ?
a)
A rational number is a number that cannot be written as a fraction.
b)
A rational number is a number that can be written as a fraction.
c)
A rational number cannot be a repeating decimal.
2.
What type of number is π ?
a)
Rational
b)
Irrational
3.
Which number is irrational?
a)
9.6
b)
√45
c)
3/8
d)
3.4 x 10 ⁵
4.
Which number is a rational number ?
a)
1/4
b)
π
c)
√3
d)
∛25
5.
What is the slope of a line that passes through the points (-9, 3) and (2, -14)?
a)
-17/11
b)
-11/17
c)
-3/4
d)
-4/3
6.
If f(x) = 2(x - 3) + 4, determine f(9).
a)
19
b)
16
c)
5.5
7.
Given f(x) = 3x + 1, what is the value of x if f(x) = 7?
a)
22
b)
2
c)
6
d)
3
8.
Which expression best describes the graph?
a)
b)
c)
d)
9.
The table represents points on the graph of a linear function. Using your calculator, determine a linear function that represents the data.
a)
y = 13.83x + .73
b)
y = .73x + 13.83
10.
3(w + 4) = 3w + 12 is an example of...
a)
Inverse Property
b)
Distributive Property
c)
Multiplicative Inverse
d)
Associative Property
11.
(5 + 3) + 2 = 5 + (3 + 2)
a)
Commutative Addition
b)
Commutative Multiplication
c)
Associative Addition
d)
Associative Multiplication
12.
Which property states that 4 = 4?
a)
Substitution Property
b)
Reflexive Property
c)
Symmetric Property
d)
Transitive Property
13.
Which property says that if k = 3, then 3 = k?
a)
Substitution Property
b)
Reflexive Property
c)
Symmetric Property
d)
Transitive Property
14.
Which property states that if 10a = 2b and 2b = c, then 10a = c?
a)
Substitution Property
b)
Reflexive Property
c)
Symmetric Property
d)
Transitive Property
15.
(8÷2)x(62-33)
a)
36
b)
108
c)
30
d)
100
16.
Evaluate when a = 15:
2(a - 5) + 2
2(a - 5) + 2
a)
22
b)
27
c)
14
d)
7
17.
2x + 3 + x2; for x = 4
a)
17
b)
27
c)
19
d)
25
18.
What is the value of the expression
x2 + y2 + x - y
when x = -1 and y = 3
x2 + y2 + x - y
when x = -1 and y = 3
a)
6
b)
8
c)
12
d)
16
19.
the difference if 3 times a number and 7
a)
3 - 7n
b)
3n - 7
c)
3n + 7
d)
3 / 7n
20.
Translate the sentence into an inequality.
Seven subtracted from n is greater than or equal to 18.
Seven subtracted from n is greater than or equal to 18.
a)
n - 7 > 18
b)
7 - n ≥ 18
c)
n - 7 ≥ 18
d)
n + 7 ≥ 18
21.
At Most
a)
<
b)
>
c)
≤
d)
≥
22.
More Than
a)
<
b)
>
c)
≤
d)
≥
23.
2 times the difference of t and 11
a)
2t - 11
b)
2(t - 11)
c)
2(t / 11)
d)
2 x t - 11
24.
the quotient of 4 and a number increased by 10.
a)
4 - n + 10
b)
4n + 10
c)
4 / n + 10
d)
4 / n + 10
25.
4x + 2(x - 6) = 12
a)
x = 6
b)
x = 4
c)
x = 2
d)
x = -2
26.
x/4- 3 = 9
a)
48
b)
24
c)
3
d)
36
27.
x/3+ 10 = 15
a)
75
b)
15
c)
25
d)
5
28.
What is the solution to this equation?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
29.
Solve:
2x + 1 = 2x - 1
2x + 1 = 2x - 1
a)
No Solution
b)
x = 0
c)
Infinitely Many Solutions
30.
Solve:
3x + 15 = 3(x + 5)
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
31.
Solve the literal equation for the given variable.
a)
2A/h
b)
2/(h)
c)
2Ah
d)
Ah/2
32.
S = 3F - 24 Solve for F
a)
F = (S + 24)/3
b)
F = S/3 + 24
c)
F = 3S + 24
d)
F = 3(S + 24)
33.
IR = V
(solve for R)
(solve for R)
a)
R = IV
b)
R = I/V
c)
R = V/I
d)
R = V - I
34.
Match the graph with its inequality. hint: don't be tricked by the variable on the right.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
35.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
36.
What inequality is graphed?
a)
x > 2 and x < 4
b)
2 ≤ x ≤ 4
c)
x > 2 or x < 4
d)
x ≥ 2 or x ≤ 4
37.
Solve:
-4x + 1 ≤ 21 and 5x + 2 < 22
-4x + 1 ≤ 21 and 5x + 2 < 22
a)
x > -5 or x ≤ 4
b)
x ≥ -5 or x < 4
c)
x > -5 and x ≤ 4
d)
x ≥ -5 and x < 4
38.
Solve:
a)
A
b)
B
c)
C
d)
D
39.
Solve: -3 ≤ 2x - 1 ≤ 5
a)
-1 ≤ x ≤ 3
b)
-1 < x < 3
c)
1 < x < 3
d)
1 ≤ x ≤ 3
40.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
41.
a)
Function
b)
Not a Function
42.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
43.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
44.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
45.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
46.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
47.
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
48.
What is the domain of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
49.
What is the domain of the graph?
a)
y≥1
b)
x ≥ 1
c)
All real numbers
d)
none of these
50.
What is the range of the graph?
a)
x≤0
b)
y≥0
c)
y≤0
d)
All real numbers
51.
What is the domain of the graph?
a)
x≤0
b)
x≥0
c)
All real numbers
d)
y≥0
52.
What is the RANGE?
a)
y > 1
b)
All Real Numbers
c)
y < 1
d)
y < 1
53.
What is the DOMAIN?
a)
All Real Numbers
b)
x > -2
c)
x > - 2
d)
x < -2
54.
What is the RANGE?
a)
y < 2
b)
All Real Numbers
c)
y > -2
d)
y > 2
55.
Evaluate f(x) = x2 for f(-8)
a)
64
b)
-64
c)
-16
d)
16
56.
Evaluate f(x)=-2t2+ 1 for f(-3)
a)
19
b)
37
c)
-17
d)
-11
57.
Evaluate f(x)=-2x+13 for f(10)
a)
-7
b)
1
c)
-8
d)
7
58.
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
(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)
59.
What type of slope?
a)
undefined
b)
positive slope
c)
negative slope
d)
zero slope
60.
What type of slope does the graph have?
a)
Positive
b)
Negative
c)
Zero Slope
d)
Undefined
61.
Which of these represents slope-intercept form of a linear equation?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
62.
y = 3x +2
y = 3x - 3
These lines are...
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
63.
Are the equations parallel, perpendicular, or neither?
a)
Parallel
b)
Perpendicular
c)
Neither
64.
Write an equation of a line that is parallel to each line and passes through the given point.
6x - 2y + 10 = 0, (3, -5)
a)
y=3x+5
b)
y=6x+2
c)
y=5x+9
d)
y=-5x+15
65.
Find the line parallel to y = 2x + 6 and goes through the point (3,7)
a)
y = 2x + 1
b)
y = 2x - 4
c)
y = 2x + 3
d)
y = 2x - 2
66.
Determine the slope and y-intercept from the following equation: 2y = 3x + 6
a)
m: 2/3 b: (0,3)
b)
m: 3/2 b: (0,3)
c)
m: 4 b: (0,3/2)
d)
m: 1/5 b: (0,5)
67.
Write the equation of the line that is perpendicular to the line y = -2x + 5 that passes through the point (6,4)
a)
y = -1/2 x + 1
b)
y = -2x + 4
c)
y = 1/2x + 1
d)
y = 1/2x + 4
68.
Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?
What is the solution?
a)
(-3,-8)
b)
(-8,-3)
c)
(3,-8)
d)
(8,3)
69.
Parallel Lines never intersect because...
a)
they have the same slopes.
b)
they have the same y-intercept.
c)
they have different slopes.
d)
they have different y-intercepts.
70.
Solve:
y=8x+1
y=6x+3
y=8x+1
y=6x+3
a)
(1, 9)
b)
(4, 14)
c)
(0, 1)
d)
(2, 4)
71.
Solve:
y = -1x - 5
4x - 8y = 4
y = -1x - 5
4x - 8y = 4
a)
(-3, -2)
b)
(5, -7)
c)
(3, 9)
d)
(-5, 4)
72.
Solve:
y = 2x - 2
-x + 8y = 14
y = 2x - 2
-x + 8y = 14
a)
(2, 2)
b)
(6, 12)
c)
(1, 0)
d)
(1, -6)
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