WorksheetsM1 2.12
Total questions: 125
Worksheet time: 8hrs 3mins
Name
Class
Date
1.
4 = 2(x + 3)
a)
1/2
b)
7/2
c)
-1
d)
5
2.
Solve: 5x - 14 = 8x + 4
a)
6
b)
-6
c)
-18/13
d)
10/3
3.
What is the first step to solve this equation:
11 - 3x = 44
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
4.
3y+6+4y-7=-8
a)
y=-1
b)
y=-8
c)
y=1
d)
y=7
5.
-2x-7+3x=10
a)
x=-2
b)
x=3
c)
x=10
d)
x=17
6.
12+5w-4w=15
a)
w=1
b)
w=3
c)
w=5
d)
w=4
7.
10(h+1)-4=76
a)
h=10
b)
h=4
c)
h=7
d)
h=76
8.
3y+4y+6=20
a)
y=2
b)
y=-2
c)
y=4
d)
y=3
9.
9c-3c=48
a)
c=9
b)
c=3
c)
c=4
d)
c=8
10.
Solve for v.
a)
60
b)
-3
c)
15
d)
3
11.
simplify: 2x + 3 - 7x + 8
a)
-5x + 11
b)
5x + 12
c)
4x + 10
d)
-7x + 13
12.
3(x - 5) + 1 = 4
a)
x = 3
b)
x = 1
c)
x = 6
d)
x = 5
13.
simplify:
-2(x - 4) + 5x
-2(x - 4) + 5x
a)
x = 7x + 8
b)
x = 3x - 8
c)
x = 7x - 8
d)
x = 3x + 8
14.
4x + 5 - x = 29
a)
x = 6
b)
x = 8
c)
x = 9
d)
x = -7
15.
-2(x + 3) - 5 = 11
a)
x = - 11
b)
x = 2
c)
x = 11
d)
x = -2
16.
7x + 6 +2x = 60
a)
x = 6
b)
x = 8
c)
x = 9.5
d)
x = 13
17.
simplify:
7(x - 4) + 8
7(x - 4) + 8
a)
11x + 8
b)
7x + 15
c)
7x +20
d)
3x + 8
18.
4x + 2(x - 6) = 12
a)
x = 6
b)
x = 4
c)
x = 2
d)
x = -2
19.
Solve: 2m + 6m = 32
Hint: Before you begin using inverse operations to solve, clean up the left side of the equal sign by combining like terms.
a)
m = 8
b)
m = 4
c)
m = -4
d)
m = -8
20.
Solve: 3(x - 5) + 1 = 4
Hint: Before you begin using inverse operations to solve, clean up the left side of the equal sign by distributing the 3 and then combining like terms.
a)
x = 3
b)
x = 1
c)
x = 6
d)
x = 5
21.
Solve: 4x + 5 - x = 29 - 3
Hint: Before you begin using inverse operations to solve, clean up the left side AND right side of the equal sign by combining like terms.
a)
x = 4.2
b)
x = 7
c)
x = 5.5
d)
x = -7
22.
Solve: -2(x + 3) - 5 = 11
Hint: Before you begin using inverse operations to solve, clean up the left side of the equal sign by distriuting the -2 and combining like terms.
a)
x = 0
b)
x = 2
c)
x = -2
d)
x = -11
23.
Solve: 4x + 2(x - 6) = 13 + x
a)
x = 3.6
b)
x = 5
c)
x = 0.2
d)
x = -2
24.
Solve: 3y + 6 + y - 7= -4y - 8 + y
a)
y=-1
b)
y=-8
c)
y=1
d)
y=7
25.
Solve: 10(h+1) - 4 = 73
a)
h = 7.9
b)
h = 5.9
c)
h = 6.7
d)
h = 7.6
26.
Solve: 2x + 3(5x - 7) = 47
a)
x = 1
b)
x = 2
c)
x = 3
d)
x = 4
27.
Solve: -11 + 3(b + 5) = 6 + b
a)
b = 6
b)
b= 11
c)
b = 16
d)
b = 1
28.
Solve for v.
Hint for first step: What is the inverse of dividing by 3?
a)
33
b)
-3
c)
15
d)
-6.3
29.
The goal of solving two-step equations is to:
a)
francine
b)
Find the coefficient
c)
Find the value of the variable
30.
What is the second step in solving the following equation?
-3x + 5 = 20
-3x + 5 = 20
a)
Subtract 5 from both sides
b)
Divide both sides by -3
c)
Divide both sides by 3
d)
add 3x to both sides
31.
Which of the following is an equation?
a)
4x - 7
b)
3 - 7t
c)
7x = 49
d)
43x - 9
32.
What is the inverse operation you would use to solve:
6x = 36
6x = 36
a)
Multiply
b)
Divide
c)
Add
d)
Subtract
33.
What is the inverse operation of multiplication?
a)
multiplication
b)
addition
c)
subtraction
d)
division
34.
Translate:
Four times a number plus six IS 30.
Four times a number plus six IS 30.
a)
4 + 6 = 30
b)
4x + 6 = 30
c)
x + 4 times 6 = 30
d)
30 = 4x
35.
The objective when solving an equation is to....
a)
isolate the variable.
b)
check the solution.
c)
guess and check.
d)
Combine Like Terms.
36.
2x + 3 = 2x + 7
a)
0
b)
4
c)
no Solution
d)
All real numbers
37.
6(6v +6) - 5 = 1 + 6v
a)
1
b)
-1
c)
no solution
d)
all real numbers
38.
2m + 6m = 32
a)
m = 8
b)
m = 4
c)
m = -4
d)
m = -8
39.
7x + 6 +2x = 60
a)
x = 6
b)
x = 8
c)
x = 9.5
d)
x = 13
40.
7x + 6 +2x = 60
a)
x = 6
b)
x = 8
c)
x = 9.5
d)
x = 13
41.
2x - 3 + 4x = 27
a)
x= 12
b)
x = 4
c)
x = 5
d)
x = 15
42.
Use the Distributive Property to solve the equation.
4( x + 2) = 16
4( x + 2) = 16
a)
-2
b)
0
c)
1
d)
2
43.
Solve: 3(x-4) = -3
a)
3
b)
-3
c)
5
d)
-5
44.
a)
x= 12
b)
x= -12
c)
x= -22
d)
x= 22
45.
a)
x= 13.5
b)
x= -13.5
c)
x= 9
d)
x= -9
46.
a)
x= 10
b)
x= -10
c)
x= 9
d)
x= -9
47.
a)
x= 6.5
b)
x= -6.5
c)
x= 4
d)
x= -4
48.
a)
x= 9
b)
x= -9
c)
x= 11
d)
x= -11
49.
Solve the equation.
a)
A
b)
B
c)
C
d)
D
50.
Solve:
7x - 3x - 8 = 24
7x - 3x - 8 = 24
a)
8
b)
-8
c)
3.2
d)
4
51.
Solve the equation.
a)
A
b)
B
c)
C
d)
D
52.
Solve:
8 = n + 3n - 24
8 = n + 3n - 24
a)
n = 7
b)
n = 6
c)
n = 5
d)
n = 8
53.
6x + 3x = 18
a)
x = 1/2
b)
x = 2
c)
x = 6
d)
x = 1/3
54.
7x - 4x = 27
a)
x = 9
b)
x = 27/11
c)
x = 11/27
d)
x = 1/3
55.
2n + 3n + 7 = -43
a)
n = -43/12
b)
n = -10
c)
n = -56/5
d)
n = 10
56.
2x + 3(5x - 7) = 47
a)
x = 1
b)
x = 2
c)
x = 3
d)
x = 4
57.
-11 + 3(b + 5) = 7
a)
b = 1
b)
b= -1
c)
b = 3
d)
b = -3
58.
2. Cheryl gets paid $8 per hour for her job at the record store. She made a total of $96 last week. Which equation models this situation?
a)
96h = 8
b)
h/96 = 8
c)
8h = 96
d)
h/8 = 96
59.
Solve the equation:
20.) 5 = 4 - x
20.) 5 = 4 - x
a)
x= 1
b)
x = -1
c)
x = 2
d)
x = -24.5
60.
Simplify 5x + 3 -2x + 1
a)
7x2 +4
b)
5x+1
c)
7x + 4
d)
3x+4
61.
Solve 5x + 7 = -13
a)
x=4
b)
x=-4
c)
x=5
d)
x=-5
62.
What is the first step (after setting up your workspace) in solving this equation:
5x + 7 = 12
5x + 7 = 12
a)
Divide by 5
b)
Subtract 5
c)
Multiply by 7
d)
Subtract 7
63.
Translate into an expression:
two more than three times x
two more than three times x
a)
3x-2
b)
2>3x
c)
2+3x
d)
2(3x)
64.
Solve the equation
a)
A
b)
B
c)
C
d)
D
65.
Solve the equation
a)
A
b)
B
c)
C
d)
D
66.
Solve the equation
a)
A
b)
B
c)
C
d)
D
67.
Solve the equation
a)
A
b)
B
c)
C
d)
D
68.
Solve the equation
a)
A
b)
B
c)
C
d)
D
69.
3(s+2)-s=38
a)
s=3
b)
s=38
c)
s=16
d)
s=1
70.
-9( -3h - 8)
a)
-27h + 72
b)
27h + 72
c)
9 + 11h
d)
-9 + 11h
71.
-4(8 + 7k)
a)
-32 - 28k
b)
32 + 28k
c)
12 + 11k
d)
-12 + 11k
72.
½(8x + 2)
a)
4x + 2
b)
4x + 1
c)
16x + 4
d)
16x - 4
73.
6(x + 1) - 5(x + 2)
a)
2x + 8
b)
x - 4
74.
8(x + 5) - 4(x + 4)
a)
4x + 24
b)
4x + 16
75.
-9(m + 2) + 4(6 - 7m)
a)
-37m + 6
b)
-16m + 20
76.
-3(-9v - 4) - 2(v - 2)
a)
29v - 10
b)
25v + 16
77.
-4(8 - c) - (3c + 7)
a)
c + 24
b)
c - 39
78.
21 - 8(w + 3) + 3 + 7w
a)
-w + 7
b)
-w
79.
Simplify
3(x2 + 7x -2)
3(x2 + 7x -2)
a)
3x2 +10x-1
b)
3x2+21x-6
c)
3x2 +21x+6
d)
x=5
80.
Simplify 5x + 3 -2x + 1
a)
7x2 +4
b)
5x+1
c)
7x + 4
d)
3x+4
81.
Simplify
2(x +4) + 5(x+6)
2(x +4) + 5(x+6)
a)
2x+ 38
b)
10x + 240
c)
7x +38
d)
6x2 + 7x
82.
Solve 5x + 7 = -13
a)
x=4
b)
x=-4
c)
x=5
d)
x=-5
83.
Simplify by combining like terms:
5a + 2b - 3a + 4
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
84.
Simplify by combining like terms:
5a + 2b - 3a + 4
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
85.
Simplify the expression: 2x + 1 + 7x
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
86.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
87.
Simplify the expression: 3x + 2x
a)
5x
b)
x
c)
6x
d)
5
88.
16+9n+6
a)
22+9n
b)
32+9n
c)
10+9n
89.
3(2c - 5)
a)
6c - 15
b)
6c + 15
c)
6c + 15
d)
-6c - 15
90.
Simplify the expression: 7+3(1 - 2x)
a)
21 - 6x
b)
10 - 2x
c)
10 - 20x
d)
10 - 6x
91.
-12n - (-13n)
a)
-25n
b)
25n
c)
n
d)
-n
92.
6w - 6w + 6w + 9w
a)
w
b)
15w
c)
9w
d)
6w
93.
3 - 2a + 3a + 5a
a)
5a+3
b)
5a-3
c)
6a + 3
d)
8a+3
94.
−x2+2−1+6x2−4x2
a)
x 2 -1
b)
x2 +1
c)
3x2 +1
d)
x 2+3
95.
4a + 9 + a
a)
5a + 9
b)
14a
c)
3a + 9
d)
5a - 9
96.
-r -10r
a)
11r
b)
-11r
c)
9r
d)
-11
97.
w + w + w could be simplified as?
a)
3w
b)
3
c)
w
d)
0
98.
Simplify the Expression.
9z - 21 - 3z + 10
9z - 21 - 3z + 10
a)
Simplified
b)
9z - 21 - 7
c)
9z - 11 -3z
d)
6z - 11
99.
What is the simplified form of this expression
3x+4+5x+3
3x+4+5x+3
a)
15x
b)
8x+7
c)
7x+8
100.
Simplify:6b + 7b - 10
a)
3b
b)
13b - 10
c)
13b2 - 10
d)
3b2
101.
Simplify the following expression:
a - 8 - 10
a - 8 - 10
a)
2a - 18
b)
a - 18
c)
a - 2
d)
a + 18
102.
Simplify the following expression:
-10x + 15 - 3x + 2
-10x + 15 - 3x + 2
a)
13x2 + 17
b)
-13x2 + 13
c)
-13x + 17
d)
-7x + 17
103.
Simplify the following expression:
3 + 5x + 8 - 2x
3 + 5x + 8 - 2x
a)
-3x2 - 11
b)
3x2 + 11
c)
11 - 3x
d)
11 + 3x
104.
Simplify the following expression:
-7x - 9x
-7x - 9x
a)
63x2
b)
-16x2
c)
-16x
d)
-15x
105.
Simplify the following expression:
-8x + 4x
-8x + 4x
a)
-12x
b)
-4x
c)
4x
d)
12x
106.
Simplify the following expression:
19 - ( 3 - 5b)
19 - ( 3 - 5b)
a)
16 + 5b
b)
21 + 5b
c)
16 - 5b
d)
21 - 5b
107.
n -10 +9n -3=
a)
-3
b)
9n-3
c)
n
d)
10n -13
108.
Simplify by combining like terms:
5a + 2b - 3a + 4
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
109.
Simplify the expression: 2x + 1 + 7x
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
110.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
111.
Simplify:
11x + 12y + 1y + 10x - 2
11x + 12y + 1y + 10x - 2
a)
13y + 21x - 2
b)
-13y + 21x - 2
c)
-1y - 2x
d)
13x + 21y - 2
112.
Simplify the following expression:
19 - ( 3 - 5b)
19 - ( 3 - 5b)
a)
16 + 5b
b)
21 + 5b
c)
16 - 5b
d)
21 - 5b
113.
Combine like terms
3x + 2x + 3y - 7y
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
114.
Simplify:
1y + 2x + 3y + 4x
1y + 2x + 3y + 4x
a)
1y + 6x + 3y
b)
-4y + 6x
c)
4y + 6x
d)
4x + 6y
115.
Simplify:
10x + 6x + 9x + (-11y)
10x + 6x + 9x + (-11y)
a)
-1y + 15x
b)
-11y + 25x
c)
-11y - 15x
d)
-1y - 15x
116.
Simplify:
10y - 7y + 8y - 7y
10y - 7y + 8y - 7y
a)
4y
b)
4x
c)
-4x
d)
-4y
117.
Simplify:
10x + 10x - 11x - 11x
10x + 10x - 11x - 11x
a)
2y - 22x
b)
2y
c)
-2x
d)
20x - 22x
118.
Simplify:
10x + 10y - 11y - 11x
10x + 10y - 11y - 11x
a)
1y - 1x
b)
1x + 1y
c)
-1x - 1y
d)
1x - 1y
119.
Simplify:
20x + 27y + 38y + 29x
20x + 27y + 38y + 29x
a)
49y + 64x
b)
49y + 65x
c)
49x + 65y
d)
49x - 65y
120.
Simplify:
2x - 5x + 6x + 7 + 14
2x - 5x + 6x + 7 + 14
a)
3x + 21
b)
3x + 22
c)
-3x + 21
d)
-3y + 22
121.
Simplify:
-1x + y - z + 10z + 2x - 10y
-1x + y - z + 10z + 2x - 10y
a)
1x - 9y + 9z
b)
1x - 9z - 9y
c)
-1x - 9z - 9y
d)
-1x - 9 - 9y
122.
If x = 5, y = 3 & z = 2, what is x + 2y + 3z
a)
15
b)
16
c)
17
d)
18
123.
If a=4,b=5 and c=6,find 2c-a-b
a)
4
b)
3
c)
6
124.
Simplify the following expression:
-8x + 4x
-8x + 4x
a)
-12x
b)
-4x
c)
4x
d)
12x
125.
What is
7y + 15 − 7y − 8?
7y + 15 − 7y − 8?
a)
3
b)
5
c)
6
d)
7
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