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WorksheetsSemester 1 Review
Total questions: 103
Worksheet time: 8hrs 28mins
Name
Class
Date
1.
2x + 3(5x - 7) = 47
a)
x = 1
b)
x = 2
c)
x = 3
d)
x = 4
2.
-11 + 3(b + 5) = 7
a)
b = 1
b)
b= -1
c)
b = 3
d)
b = -3
3.
Solve the equation:
20.) 5 = 4 - x
20.) 5 = 4 - x
a)
x= 1
b)
x = -1
c)
x = 2
d)
x = -24.5
4.
2x - 3 + 4x = 27
a)
x= 12
b)
x = 4
c)
x = 5
d)
x = 15
5.
Simplify 5x + 3 -2x + 1
a)
7x2 +4
b)
5x+1
c)
7x + 4
d)
3x+4
6.
Solve for f:
f - 4 = 6f + 26
f - 4 = 6f + 26
a)
f = -5
b)
f = 5
c)
f = 6
d)
f = -6
7.
3(s+2)-s=38
a)
s=3
b)
s=38
c)
s=16
d)
s=1
8.
Solve for x:
5x - 14 = 8x + 4
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
9.
Solve for x:
4(1-x)+3x=-2(x+1)
4(1-x)+3x=-2(x+1)
a)
x = -6
b)
x = 6
c)
x = 3
10.
Solve:
5y+34 = -2(-7y+1)
5y+34 = -2(-7y+1)
a)
y = -4
b)
y = 9
c)
y = 4
d)
y = 36/19
11.
Solve the equation
-8x - 8 +3(x - 2) = -3x + 2
-8x - 8 +3(x - 2) = -3x + 2
a)
x = -8
b)
x = 8
c)
x = 2
d)
x = -2
12.
Is this table a function or not a function?
a)
Function
b)
Not a Function
13.
Is this table a function or not a function?
a)
Function
b)
Not a Function
14.
Is this table a function or not a function?
a)
Function
b)
Not a Function
15.
Is this set of ordered pairs a function and how can you tell?
a)
Yes its a function because no y values repeat
b)
No it's not a function because there are negative numbers
c)
No it isn't a function because an x value repeats but has different y values
d)
No it isn't a function because an y value repeats but has different x values
16.
What is the RANGE?
a)
all real numbers
b)
[1, ∞)
c)
(-∞, 1]
d)
none of these
17.
What is the range of the following relation:
(9, -2) (4, 3) ( 8, 10) ( -4, 8)
(9, -2) (4, 3) ( 8, 10) ( -4, 8)
a)
-4, 4, 8, 9
b)
-2, 3, 8, 10
c)
(9, -2) ( 4, 3)
d)
(8, 10) (-4, 8)
18.
What is the range of the following graph?
a)
all real numbers
b)
all integers
c)
any real number greater than zero
d)
it can not be determined
19.
Which set of ordered pairs is not a function?
a)
(1, 3), (2, 7), (3, 8), (4, 11)
b)
(2, 3), (4, 9), (3, 8), (4, 15)
c)
(1, 2), (3, 5), (6, 9), (7, 11)
d)
(-9, 4), (-6, 3), (-2, 8), (0, 21)
20.
What is the test to determine if a graph represents a function?
a)
Horizontal line test
b)
Vertical line test
c)
Heidelberg Uncertainty Test
d)
Obi Wan Kenobi Test
21.
Solve for y:
5x + y = -10
5x + y = -10
a)
y = 5x + 10
b)
y = -5x - 10
c)
y = 2
d)
y = -5
22.
Solve for y:
3x + y = 12
3x + y = 12
a)
y = -3x +12
b)
x = y + 4
c)
x = y + 12
d)
y = 3x -12
23.
Solve for y:
2x + 2y = 6
2x + 2y = 6
a)
y = - x + 3
b)
y = x + 3
c)
y = 2x +6
d)
y = - 2x + 6
24.
Solve for y:
4x + 3y = 9
4x + 3y = 9
a)
y = -3/4x + 3
b)
y = -4x + 9
c)
y = -4/3x + 3
d)
3y = -4x + 9
25.
Solve for y:
y + 2 = 3x
y + 2 = 3x
a)
y = 2x + 3
b)
y= 3x +2
c)
y= 3x -2
d)
y= 6x
26.
Solve for y
5x - y = 6
5x - y = 6
a)
y= 5x-6
b)
Y= -5X +6
c)
Y=5X+6
d)
Y=-5X-6
27.
What is the correct equation in
Slope-Intercept Form?
(y = mx +b)
Slope-Intercept Form?
(y = mx +b)
a)
y = x + 2
b)
y = 2x - 1
c)
y = -x + 2
d)
y = -2x - 1
28.
What is the correct equation in
Slope-Intercept Form?
(y = mx +b)
Slope-Intercept Form?
(y = mx +b)
a)
y = 1/3x - 1
b)
y = 1/4x -1
c)
y = -1/3x +1
d)
y = -1/4x + 1
29.
What is the correct equation in
Slope-Intercept Form?
(y = mx +b)
Slope-Intercept Form?
(y = mx +b)
a)
y = x
b)
y = x + 1
c)
y = -x
d)
y = -x + 1
30.
What is the correct equation in
Slope-Intercept Form?
(y = mx +b)
Slope-Intercept Form?
(y = mx +b)
a)
y = 4/3x - 4
b)
y = -4/3x + 3
c)
y = 4/3x + 4
d)
y = -4/3x +3
31.
What is the correct equation in
Slope-Intercept Form?
(y = mx +b)
Slope-Intercept Form?
(y = mx +b)
a)
x = 4
b)
y = 4
32.
What is the correct equation?
a)
x = 5
b)
y = 5
c)
x = - 5
d)
y = -5
33.
What is the correct equation in
Slope-Intercept Form?
(y = mx +b)
Slope-Intercept Form?
(y = mx +b)
a)
y = -1/3x + 3
b)
y = 1/3x - 3
c)
y = -1/3x - 3
d)
y = 1/3x + 3
34.
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
35.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
36.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
37.
Find the slope.
a)
-2
b)
2
c)
1/2
d)
-1/2
38.
Determine the slope.
a)
m=3/2
b)
m=6
c)
m=-3/2
d)
m=1/6
39.
|v + 8| − 5 = 2
a)
{-1,-15}
b)
{-1,-5}
c)
{-15,15}
d)
No Solution
40.
-|−2r − 1| = 11
a)
{-6,5}
b)
{5,-6}
c)
-6
d)
No Solution
41.
−2|−2r − 4| = -12
a)
{3,1}
b)
{5,-1}
c)
{-5, 1}
d)
No Solution
42.
Solve |2x –3| + 5 =10.
a)
-1, 1
b)
-1, 4
c)
-1, -4
d)
1, 4
43.
Solve |x – 12| - 3 = 11.
a)
-2, -26
b)
-2, 26
c)
3, 25
d)
4, -7
44.
Solve for x.
2|x + 1| - 5 = 5
2|x + 1| - 5 = 5
a)
x = 4 & x = 6
b)
x = -4 & x = 6
c)
x = -6 & x = 4
d)
no solution
45.
∣ 2x + 9 ∣ = 15
a)
x = 3
b)
x = 3
x = -6
x = -6
c)
x = 3
x = -12
x = -12
d)
x = 6
x = -12
x = -12
46.
Solve the absolute value equation.
a)
{7}
b)
{-7, 7}
c)
{0, 7}
d)
No Solution
47.
What is the equation of the absolute value function?
a)
f(x)= |x+4|
b)
f(x)= |x-4|
c)
f(x)= |x| + 4
d)
f(x)= |x| - 4
48.
Which function defines the graph?
a)
f(x) = |x - 4| + 3
b)
f(x) = |x - 3| + 4
c)
f(x) = |-x + 4| + 3
d)
f(x) = |x + 4| + 3
49.
What is the equation of the graph below?
a)
f(x) = I x + 2 I
b)
f(x) = I x + 2 I +2
c)
f(x) = I x - 2 I +2
d)
f(x) = I x - 2 I
50.
What is the vertex of the absolute value function?
a)
(4, 0)
b)
(0, 4)
c)
(-infinity, infinity)
d)
[4, infinity)
51.
Determine the transformation
a)
left 3, up 2
b)
right 3, up 2
c)
left 3, down 2
d)
right 3, down 2
52.
Which equation shows a function that is translated left 4 and 7 up?
a)
y = |x + 4| + 7
b)
y = (x - 4)2 + 7
c)
y = (x + 7)2 - 4
d)
y = |x + 4| - 7
53.
Identify the equation of the graph.
a)
y = |x-3|-2
b)
y = -|x-3|-2
c)
y = |x+3|-2
d)
y = |x+3|+2
54.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
55.
What is the y-intercept in the equation?
y = 5x - 4
a)
(0,5)
b)
(0,-4)
c)
(-4,0)
d)
(5,0)
56.
Simplify the expression.
a)
76
b)
7-5
c)
1/75
d)
75
57.
Simplify the expression.
a)
1
b)
g10
c)
g25
d)
g
58.
Simplify the expression.
a)
122
b)
130
c)
622
d)
630
59.
Quotient Rule states: keep the base the same and do this to the exponents.
a)
multiply
b)
add
c)
subtract
d)
divide
60.
Simplify: x2 ⋅ x5
a)
x ⋅ x ⋅ x ⋅ x ⋅ x ⋅ x ⋅ x
b)
x7
c)
x10
d)
x ⋅ x
61.
Simplify: 3x3 ⋅ 3x
a)
32x4
b)
3 ⋅ x ⋅ x ⋅ x ⋅3 ⋅ x
c)
9x4
d)
3x4
62.
Simplify: 6x2 ⋅ 2y4 ⋅ x
a)
36x316y4
b)
6x3y4
c)
12x3y4
d)
8x3y4
63.
Simplify: (6x2)(-3x5)
a)
18x7
b)
-18x7
c)
18x7
d)
3x7
64.
Simplify: (2x4y5)(-3x2y7)
a)
6x6y12
b)
-1x6y-2
c)
-6x2y2
d)
-6x6y12
65.
In order to multiply powers with the same base, we add their exponents.
a)
True
b)
False
66.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
67.
40
a)
0
b)
1
c)
4
d)
-4
68.
-3xy3 . (4xy)2
a)
-12x3y5
b)
-48x2y4
c)
-48x3y5
d)
-12x2y6
69.
(-4r3s5)0 (3b4c2d)
a)
1
b)
-12b4c2d
c)
3b4c2d
d)
0
70.
9n4 . 6n7
a)
15n11
b)
54n28
c)
3n3
d)
54n11
71.
What is the base in 28 ?
a)
8
b)
2
72.
According to exponent rules, when we raise a power to another exponent we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
73.
Simplify:
(5ab2)2
a)
25a2b4
b)
10a2b4
c)
5a2b4
d)
25ab2
74.
(r4)6
a)
10r
b)
r10
c)
24r
d)
r24
75.
Simplify: (3x2)3
a)
27x6
b)
9x6
c)
3x6
d)
9x5
76.
Which of the following expressions is equivalent to (2x)3 ?
a)
(2x)(2x)(2x)
b)
2(x)(x)(x)
c)
2x + 2x + 2x
d)
2x⋅3
77.
Simplify (-3x4y5)2
a)
9x8y10
b)
6x8y10
c)
3x8y10
d)
-9x8y10
78.
Any number written to the 0 power is always 1
Example: 80=1
Example: 80=1
a)
True
b)
False
79.
What is the value of (-2)3?
a)
-8
b)
-6
c)
6
d)
8
80.
Rewrite using a positive exponent.
(-5)-4
(-5)-4
a)
(-5)4
b)
1/(-5)-4
c)
1/(-5)4
d)
-625
81.
Rewrite using a positive exponent.
g-7
g-7
a)
1/g7
b)
g7
c)
1/g-7
d)
-g7
82.
Rewrite using a positive exponent.
w-13
w-13
a)
-w13
b)
1/w13
c)
1/w-13
d)
w13
83.
Simplify.
s-5 ⋅ s-2
s-5 ⋅ s-2
a)
s-3
b)
1/s7
c)
s-7
d)
1/s3
84.
Simplify x-7
a)
-7
b)
-7x
c)
1/x7
d)
-1/x7
85.
Factor:
2n2-8n3
2n2-8n3
a)
2n2(n-4n2)
b)
2n2(1-4n)
c)
2n3(10-8n2)
d)
3n(1-4n)
86.
Factor
10x2 + 15x-5
10x2 + 15x-5
a)
25(10x3+45x-15)
b)
5(2x3 + 3x2-x)
c)
x(10x3+15x-5)
d)
5(2x2+3x-1)
87.
Factor
4b5+4b3+16b2
4b5+4b3+16b2
a)
4b3(b4+b2+4b)
b)
4b3(b4+4b+5)
c)
4(b5+b3+4b2)
d)
4b2(b3+b+4)
88.
Factor by GCF:
6m2 + 16m
a)
2(3m2 + 8m)
b)
2m(3m + 8)
c)
2m(3m - 8m)
d)
Prime
89.
Factor by GCF:
17xy - x
a)
17(xy - x)
b)
y(17x - x)
c)
x(17y - 1)
d)
Prime
90.
What is the GCF of 18k and 15k3
a)
5k3
b)
3k3
c)
3k
d)
5k
91.
Factor
x2 + 9x - 36
x2 + 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
92.
Factor
n2 + 16n + 63
n2 + 16n + 63
a)
(n-7)(n+4)
b)
(n+7)(n-9)
c)
(n-3)(n-10)
d)
(n+7)(n+9)
93.
Factor
x2 - 5x - 36
x2 - 5x - 36
a)
(x - 4)(x + 9)
b)
(x - 6)(x + 6)
c)
(x + 4)(x - 9)
d)
(x -12)(x + 3)
94.
Factor
k2 - 2k - 24
k2 - 2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
95.
Factor
3v2 - 4v - 7
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
96.
Factor
3a2 + 4a + 1
3a2 + 4a + 1
a)
(7a-10)(a-8)
b)
Not factorable
c)
(3a+1)(a+1)
d)
(3a-1)(a-1)
97.
Factor:
4h² - 17h + 4
4h² - 17h + 4
a)
(2h - 2)²
b)
4(h + 4)(h + 1)
c)
(2h - 2)(2h + 2)
d)
(h - 4)(4h - 1)
98.
factor:x2 - 25
a)
( x + 5 ) ( x - 5 )
b)
( x - 5 ) ( x - 5 )
c)
( x + 5 ) ( x + 5 )
d)
Prime
99.
Factor completely:
3x2 + 18x +15
Hint: Factor GCF first.
3x2 + 18x +15
Hint: Factor GCF first.
a)
3(x2 + 6x + 5)
b)
(x + 5)(x + 1)
c)
3(x + 5)(x + 1)
d)
Prime
100.
Solve for the values of x:
(2x - 1)(x + 4) = 0
a)
x=1/2, x= -4
b)
x=1/2, x= 4
c)
x= 1, x=-4
d)
x=-2.5, x=4
101.
Solve by factoring: x2 - 9x + 20 = 0
a)
x = -4 and x = -5
b)
x = 20 and x = -9
c)
x = 4 and x = 5
d)
x = -4 and x = 5
102.
Solve
x2 + 2x - 24 = 0
x2 + 2x - 24 = 0
a)
x = -6, x = 4
b)
x = 6, x = -4
c)
x = 12, x = -2
d)
x = 8, x = -3
103.
Find the roots of this quadratic function:
2x2-x=0
a)
2 and 7
b)
1/2 and 0
c)
2 and 0
d)
-7/2 and 0
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