Math Practice Problems - Single Variable Equations 3

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Single Variable Equations 3 - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

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Complexity=5, Mode=2

Solve.

Complexity=10, Mode=2

Solve.

Complexity=5, Mode=3

Solve.

Complexity=6, Mode=3

Solve.

Complexity=7, Mode=3

Solve.

Complexity=5, Mode=4

Solve.

Complexity=6, Mode=4

Solve.

Complexity=7, Mode=4

Solve.

Complexity=9, Mode=4

Solve.

Complexity=12, Mode=4

Solve.

Complexity=15, Mode=4

Solve.

Answers

Complexity=5, Mode=1

Solve.

#	Problem	Correct Answer	Your Answer
1	e - 4 = ^-3	e =
Solution e - 4 + 4 = ^-3 + 4 e = 1

Problem

Correct Answer

Your Answer

3b = 21

b =

Solution
Divide by 3

b = 7

Complexity=5, Mode=2

Solve.

Problem

Correct Answer

Your Answer

4b + 2 = ^-26

b =

Solution
4b + 2 - 2 = ^-26 - 2
4b = ^-28

Divide by 4

b = ^-7

Problem

Correct Answer

Your Answer

^-13 = 2e - 1

e =

Solution
^-13 + 1 = 2e - 1 + 1
^-12 = 2e

Divide by 2

^-6 = e

e = ^-6

Complexity=10, Mode=2

Solve.

Problem

Correct Answer

Your Answer

^-31 = 4z - 7

z =

Solution
^-31 + 7 = 4z - 7 + 7
^-24 = 4z

Divide by 4

^-6 = z

z = ^-6

Problem

Correct Answer

Your Answer

^-56 = 8j + 8

j =

Solution
^-56 - 8 = 8j + 8 - 8
^-64 = 8j

Divide by 8

^-8 = j

j = ^-8

Complexity=5, Mode=3

Solve.

Problem

Correct Answer

Your Answer

3(^-5d + 5) = ^-120

d =

Solution
^-15d + 15 - 15 = ^-120 - 15
^-15d = ^-135

Divide by ^-15

d = 9

Problem

Correct Answer

Your Answer

4(4k - 5) = ^-52

k =

Solution
16k - 20 + 20 = ^-52 + 20
16k = ^-32

Divide by 16

k = ^-2

Complexity=6, Mode=3

Solve.

Problem

Correct Answer

Your Answer

^-4 = 4(5n - 1)

n =

Solution
^-4 + 4 = 20n - 4 + 4
0 = 20n

Divide by 20

0 = n

0 - n = n - n
-n = 0

Multiply by ^-1

-n(^-1) = 0 • ^-1

n = 0

Problem

Correct Answer

Your Answer

6(3e + 3) = 144

e =

Solution
18e + 18 - 18 = 144 - 18
18e = 126

Divide by 18

e = 7

Complexity=7, Mode=3

Solve.

Problem

Correct Answer

Your Answer

^-33 = 3(3d + 4)

d =

Solution
^-33 - 12 = 9d + 12 - 12
^-45 = 9d

Divide by 9

^-5 = d

d = ^-5

Problem

Correct Answer

Your Answer

6(4z - 4) = 24

z =

Solution
24z - 24 + 24 = 24 + 24
24z = 48

Divide by 24

z = 2

Complexity=5, Mode=4

Solve.

Problem

Correct Answer

Your Answer

q + 2 = 4q + 23

q =

Solution
q + 2 - 2 = 4q + 23 - 2
q = 4q + 21

q - 4q = 4q + 21 - 4q
^-3q = 21

Divide by ^-3

q = ^-7

Problem

Correct Answer

Your Answer

^-4h + 15 = ^-5

h =

Solution
^-4h + 15 - 15 = ^-5 - 15
^-4h = ^-20

Divide by ^-4

h = 5

Complexity=6, Mode=4

Solve.

Problem

Correct Answer

Your Answer

^-6 = ^-3h - 33

h =

Solution
^-6 + 33 = ^-3h - 33 + 33
27 = ^-3h

Divide by ^-3

^-9 = h

h = ^-9

Problem

Correct Answer

Your Answer

^-3k + 39 = ^-8k + 4

k =

Solution
^-3k + 39 - 39 = ^-8k + 4 - 39
^-3k = ^-8k - 35

^-3k + 8k = ^-8k - 35 + 8k
5k = ^-35

Divide by 5

k = ^-7

Complexity=7, Mode=4

Solve.

Problem

Correct Answer

Your Answer

^-10b + 7 = ^-6b + 35

b =

Solution
^-10b + 7 - 7 = ^-6b + 35 - 7
^-10b = ^-6b + 28

^-10b + 6b = ^-6b + 28 + 6b
^-4b = 28

Divide by ^-4

b = ^-7

Problem

Correct Answer

Your Answer

^-4c - 20 = ^-11c + 1

c =

Solution
^-4c - 20 + 20 = ^-11c + 1 + 20
^-4c = ^-11c + 21

^-4c + 11c = ^-11c + 21 + 11c
7c = 21

Divide by 7

c = 3

Complexity=9, Mode=4

Solve.

Problem

Correct Answer

Your Answer

^-8b + 22 = ^-2b + 4

b =

Solution
^-8b + 22 - 22 = ^-2b + 4 - 22
^-8b = ^-2b - 18

^-8b + 2b = ^-2b - 18 + 2b
^-6b = ^-18

Divide by ^-6

b = 3

Problem

Correct Answer

Your Answer

5c + 14 = 11c + 2

c =

Solution
5c + 14 - 14 = 11c + 2 - 14
5c = 11c - 12

5c - 11c = 11c - 12 - 11c
^-6c = ^-12

Divide by ^-6

c = 2

Complexity=12, Mode=4

Solve.

Problem

Correct Answer

Your Answer

9v + 16 = 12v - 2

v =

Solution
9v + 16 - 16 = 12v - 2 - 16
9v = 12v - 18

9v - 12v = 12v - 18 - 12v
^-3v = ^-18

Divide by ^-3

v = 6

Problem

Correct Answer

Your Answer

3e + 22 = 7e - 6

e =

Solution
3e + 22 - 22 = 7e - 6 - 22
3e = 7e - 28

3e - 7e = 7e - 28 - 7e
^-4e = ^-28

Divide by ^-4

e = 7

Complexity=15, Mode=4

Solve.

Problem

Correct Answer

Your Answer

^-11h + 10 = ^-3h + 50

h =

Solution
^-11h + 10 - 10 = ^-3h + 50 - 10
^-11h = ^-3h + 40

^-11h + 3h = ^-3h + 40 + 3h
^-8h = 40

Divide by ^-8

h = ^-5

Problem

Correct Answer

Your Answer

^-2c + 43 = 7c - 2

c =

Solution
^-2c + 43 - 43 = 7c - 2 - 43
^-2c = 7c - 45

^-2c - 7c = 7c - 45 - 7c
^-9c = ^-45

Divide by ^-9

c = 5

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