Free Printable A1 2.1,2.3&2.4 Solving Linear Equations Review

1.

Translate the sentence into an equation.

Three times a number t minus twelve equals forty.

a)

$t-3=40\ -12$

b)

$3t-12=40$

c)

$12t-3=40$

d)

$t-40=3\left(12\right)$

2.

Translate the sentence into an equation.

One-half of the difference of a and b is 54

a)

$\frac{1}{2}\left(a-b\right)=54$

b)

$\frac{1}{2}a=54b$

c)

$a-b=\frac{1}{2\left(54\right)}$

d)

$\frac{1}{2}\left(a+b\right)=54$

3.

Solve.

$6x+9=27$

a)

3

b)

5

c)

-3

d)

-5

4.

Solve
$5x+16=51$

a)

12

b)

-7

c)

-12

d)

7

5.

Solve $\frac{7}{8}p-14=-28$

a)

16

b)

-16

c)

5

d)

-5

6.

Solve $\frac{4b+8}{-2}=10$

a)

3

b)

-7

c)

7

d)

-3

7.

Solve $8+\frac{3n}{12}=13$

a)

18

b)

-20

c)

20

d)

-18

8.

Solve:

$\frac{g}{-5}+3=-13$

a)

-80

b)

40

c)

80

d)

-40

9.

Solve:

$14n-8=34$

a)

3

b)

-3

c)

2

d)

-2

10.

Solve:

$8=-12+\frac{k}{-4}$

a)

80

b)

30

c)

-30

d)

-80

11.

Solve:

$6-b=5b+30$

a)

4

b)

-4

c)

6

d)

-6

12.

Solve:

$5y-2y=3y+2$

a)

No Solution

b)

-3

c)

All real numbers

d)

2

13.

Solve:

$5x+2=2x-10$

a)

4

b)

6

c)

-4

d)

-6

14.

Solve:

$4b-8=10-2b$

a)

9

b)

3

c)

-3

d)

-9

15.

Solve:

$\frac{3}{4}k-5=\frac{1}{4}k-1$

a)

-8

b)

3

c)

-3

d)

8

16.

$8-5p=4p-1$

a)

9

b)

1

c)

-1

d)

-9

17.

Solve:

$4b-8=10-2b$

a)

-2

b)

2

c)

-3

d)

3

18.

Solve:

$-4-3x=7x-6$

a)

5

b)

$-\frac{1}{5}$

c)

$\frac{1}{5}$

d)

-5

19.

$8+4k=-10+k$

a)

-6

b)

6

c)

9

d)

-9

20.

$-4r+5=5-4r$

a)

2

b)

No solution

c)

All Real numbers

d)

-2

21.

$18-4k=-10-4k$

a)

No solution

b)

All real numbers

c)

2

d)

-2

22.

$2\left(7+3t\right)=-t$

a)

All real numbers

b)

No solution

c)

2

d)

-2

23.

$5\left(f+2\right)=2\left(3-f\right)$

a)

$\frac{4}{7}$

b)

$-\frac{7}{4}$

c)

$-\frac{4}{7}$

d)

$\frac{7}{4}$

24.

$18=3\left(2t+2\right)$

a)

8

b)

2

c)

-2

d)

-8

25.

$2\left(w-1\right)+4=4\left(w+1\right)$

a)

-1

b)

1

c)

3

d)

-3

A1 2.1,2.3&2.4 Solving Linear Equations Review

Total questions: 25

Worksheet time: 6hrs 15mins

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