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Total questions: 204
Worksheet time: 10hrs 57mins
5x + 3(x+4) = 28
solve entirely
5x + 3x + 12 = 28
x = 2
8x + 12 = 28
x = 8
combine like terms appropriately
2(x-1) + 3x = 3
1x - 2 = 3
5x - 2 = 3
6x + 12 = 36
which is the constant
6
6x
12
36
which is the coefficient
6x + 12 = 36
6
6x
12
36
what is a variable
the letter
the number before the letter
a plain number
the answer
96=6(k+8)
12
8
−4
9
21=3+4n+5n
9
−7
6
2
97=−3(6n−5)−8
−10
16
−5
−2
10(h+1) - 4 = 76
h=10
h=4
h=7
h=76
What will the equation look like after you combine like terms?
-5x + 5 = 35
x + 5 = 35
5x + 5 = 35
-x + 5 = 35
x+2+6=8
0
14
8
4
11 - 3x = 44
3c + 5 = 23
c = 3
c = 6
c = 7
c = 18
7w + 5 = 3w - 15
10x + 9 = 4x - 9
Solve: −3(6x+6)=−144
(a)
Solve: −8(p+8)=−120
(a)
Solve.
x = 12
x = 24
x = 4
x = 9
Solve for x:
−20=6x−3x=−123
x=−117
x=−31
x=−29
3a + 4 = 31
(a)
Solve:
2(2x + 3) = -6(x + 9)
Solve:
7x + 19 = -2x + 55
4 - 6x - 2= -2(3x-1)
5(2x + 6) = −4(−5 −2x)+ 3x
x =−20
x = 20
x =−10
x = 10
3 ( a + 22 ) = 12a + 30
a = 8
a = 2
a = 4
a = -2
Which step cannot be performed first when solving the equation
5 - 2(x - 7) = x + 1 + 3x
Distributing -2 to (x - 7)
Combining x and 3x
5 - 2
5x - 14 = 8x + 4
Solve for x:
2 ( x + 5 ) - 7 = 3 ( x - 2 )
x = 6
x = -14
x = 9
x = 28
Solve:
2(4x - 3) - 8 = 4 + 2x
Which is the correct order in which to solve multi-step equations?
Distribute
Combine like terms
Get the variable on one side by add or subtracting
Divide or multiple
Add or subtracting
Distribute
Combine like terms
Divide or multiple
Divide or multiple
Add or subtracting
Distribute
Combine like terms
What is the first step to solve this equation?
x - 5 = 7 - 2x
Add 7 to both sides of the equation
Add 2x to both sides of the equation
Subtract 2x from both sides of the equation
combine x and -2x
7x - 3x - 8 = 24
−2v + v = 3
4
−5
−3
5
21=3+4n+5n
9
−7
6
2
What is the solution for the equation -3 + 5a = 4a - 10?
a = -13
a = 13
a = -7
a = 7
What is the solution for the equation -2k = k - 7 - 8?
k = 5
k = -5
k = 1
k = -1
What is the solution for the equation -16 + 3n = -8 - 5n?
n = -2
n = 2
n = -4
n = 4
What is the solution for the equation 4n - 1 = 6n + 8 - 8n + 15?
n = 4
n = -4
n = 8
n = -8
What is the solution for the equation 1 - 3x = 3x + 1?
x = 0
x = 1
x = -1
x = 2
What is the solution for the equation 4r + 8 + 5 = -15 - 3r?
r = -4
r = 4
r = -2
r = 2
What is the solution for the equation -12 - 4b = 4 - 2b?
b = 8
b = -8
b = 4
b = -4
What is the solution for the equation 3n - 15 = 7n + n?
n = -5
n = 5
n = -3
n = 3
Solve the equation: -13 + n + 5 + 6 = 5 + 4n - 4
n = 3
n = 4
n = 2
n = 5
Solve the equation: 3v + 2 = 4v + 4
v = -2
v = 2
v = -4
v = 4
Solve the equation: 8x + 6x = 8x + 4x + 12
x = 12
x = 6
x = 3
x = 4
Name the coefficient of 9h + 12
6
12
9
1
72B - 8 + 9h + 2
−3x+6
The goal when solving an algebraic equation is to isolate the variable.
True
False
The inverse operation of addition is multiplication.
True
False
The inverse operation of subtraction is addition.
True
False
What is the solution for the equation 2x - 4 = 10?
x = 3
x = 7
x = 5
x = 8
If 5y + 15 = 20, what is the value of y?
y = 1
y = 0
y = -1
y = 5
Which operation is the inverse of division?
Addition
Subtraction
Multiplication
None of the above
x + 23 = -45
x = -23
x = -68
x = -12
x = 64
m - 14 = 76
m = 90
m = 52
m = -62
m = 80
13x = 65
x = 4
x = 5
x = -3
x = 7
c/-2 = -91
c = 182
c = -45
c = -182
c = 194
21=3+4n+5n
9
−7
6
2
Define coefficient.
the number multiplied by a variable
to replace a value for a variable
a number standing alone
to find the value of an expression
Define constant.
the number multiplied by a variable
to replace a value for a variable
a number standing alone
to find the value of an expression
Define substitute.
the number multiplied by a variable
to replace a variable with a value or an expression
a number standing alone
to find the value of an expression
Define variable
a letter in the alphabet
a letter or symbol standing for an unknown value
a letter to grandma
a letter to Santa
Define terms.
parts of an expression or equation separated by + or -.
parts of a sentence
many ways to do a problem
parts of a car
Select the constant in 8x - 2.
8
8x
2
-2
Select the coefficient in 8x + 2.
x
8x
8
+2
4( x + 2) = 16
7x - 4 = 3 + 8x
5x - 14 = 8x + 4
f - 4 = 6f + 26
f - 4 = 6f + 26
What is the first step to solve this equation:
- 3x -11 = 44
Add 3 to both sides
Subtract 11 from both sides
Add 11 to both sides
Divide 3 on both sides.
What operation would you perform first and then second when solving for m in the following equation?
10 + 7m = 17
subtract 10, divide by 7
divide by 7, subtract 10
multiply by 7, add 10
add 10, multiply by 7
Solve for a:
-3a + 8 = 14
a = -2
a = -7.5
a = 2
a = 6
Solve for x:
2x - 3 = 1
x = 3
x = 2
x = 1
x = -2
Solve for x:
2x - 3 + 4x = 27
x = 12
x = 4
x = 5
x = 15
3(b - 4) = -3
Solve for x:
7(2x - 4) = 42
x = 5
x = 8
x = 2
x = 9
-11 + 3(b + 5) = 7
Solve for x:
2x -1(3+4x) = 11
x = -4
x = 7/3
x = -7
x = -17/8
Solve for k:
38 + 7k = 8(k + 4)
k = 6
k = 8
k = -6
k = 1
5(3x+1)
8x - 10 = -34
5x + 7 = 12
7x - 3x - 8 = 24
-8 + 5x - 2 = 20
3(x - 2) = 18
6(5x - 3) + 2 = 14
Solve 2 + 5x + 2x = -12.
x = −2
x = −710
x = 2
x = 710
For which equation would you add 12 as the first step?
2(m −12) = 3
14 = 12x
13 = 5y − 12
5x + 12 = 7
Which of the following equations does not have x = 2 as a solution?
6 = x12
2(x +4) = 12
21x − 2 = −1
3x − 2 = −8
Solve 3 = x + 3 - 5x.
x = -6
x = 0
x = -1
x = 6
Solve the equation 3x− 4 = 5 .
19
27
11
15
Solve the equation 2x + 3= −1 .
x = 1
x = 4
x = -8
x = -5
Which equation has a solution of y = -2?
3y + 1 = 5
2y - 5 = 1
4y + 8 = -4
y - 3 = -5
If 3x - 1 = 11, find the value of 2x + 1.
4
5
8
9
Solve 2(5x−3)=14
x=2
x=1017
x=531
x=54
Solve 5(3x−1)=40
x=3
x=37
x=1541
x=30
Solve 3(5x−13)=21
x=4
x=55
x=26
x=1534
Solve the equation:
7x = 21
x = 14
x = 28
x = 3
x = 147
Solve: 3(x-2)=18
6.7
4
8
-4
Find the value of the variable that makes the equation true.
x = 3
x = 1
x = -2
x = -4
Solve for w:
52w−9=11w=50
w=10
w=32
w=23
solve for m:
32(9m−6)=20m=4
m=3
m=2
m=8
Solve for x:
−20=6x−3x=−123
x=−117
x=−31
x=−29
4(m+1)=24
m=
(a)
2x+3x+2=12
x=
(a)
What is the first step to solve this equation:
- 3x -11 = 44
Add 3 to both sides
Subtract 11 from both sides
Add 11 to both sides
Divide 3 on both sides.
4=2r-10
7
15
14
9
7x - 3x - 8 = 24
-8 + 5x - 2 = 20
3(x - 2) = 18
6(5x - 3) + 2 = 14
Solve 2 + 5x + 2x = -12.
x = −2
x = −710
x = 2
x = 710
For which equation would you add 12 as the first step?
2(m −12) = 3
14 = 12x
13 = 5y − 12
5x + 12 = 7
Which of the following equations does not have x = 2 as a solution?
6 = x12
2(x +4) = 12
21x − 2 = −1
3x − 2 = −8
Solve 3 = x + 3 - 5x.
x = -6
x = 0
x = -1
x = 6
Solve the equation 3x− 4 = 5 .
19
27
11
15
Solve the equation 2x + 3= −1 .
x = 1
x = 4
x = -8
x = -5
Which equation has a solution of y = -2?
3y + 1 = 5
2y - 5 = 1
4y + 8 = -4
y - 3 = -5
If 3x - 1 = 11, find the value of 2x + 1.
4
5
8
9
Solve 2(5x−3)=14
x=2
x=1017
x=531
x=54
Solve 5(3x−1)=40
x=3
x=37
x=1541
x=30
Solve 3(5x−13)=21
x=4
x=55
x=26
x=1534
Solve the equation:
7x = 21
x = 14
x = 28
x = 3
x = 147
Solve: 3(x-2)=18
6.7
4
8
-4
Find the value of the variable that makes the equation true.
x = 3
x = 1
x = -2
x = -4
Solve for w:
52w−9=11w=50
w=10
w=32
w=23
solve for m:
32(9m−6)=20m=4
m=3
m=2
m=8
Solve for x:
−20=6x−3x=−123
x=−117
x=−31
x=−29
4(m+1)=24
m=
(a)
2x+3x+2=12
x=
(a)
What is the first step to solve this equation:
- 3x -11 = 44
Add 3 to both sides
Subtract 11 from both sides
Add 11 to both sides
Divide 3 on both sides.
4=2r-10
7
15
14
9
