Free Printable Solving Equations 1

1.

Solve for variable x in the following equation:

11 = 3x + 8x

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

2.

Which of the following equations are true when y = -3

a)

5 - 3y = 14

b)

4y - 7 = 19

c)

2y - 4y + 9 = 15

d)

5y +3 = -4y

3.

Solve:

\frac{1}{5}x-3=7

(a)

4.

Solve:

3\left(x-5\right)=24

(a)

5.

Solve:

8.7w-3=5.5w+3.4

(a)

6.

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

7.

Find the all the solutions to: $x+7=7+x$

a)

0

b)

no solution

c)

infinitely many solutions

d)

1

8.

$\frac{y}{7}=\ 11$

a)

4

b)

70

c)

77

d)

18

9.

Solve: 5x + 15 = 10x - 40

a)

x = 10

b)

x = -10

c)

x = 11

d)

x = -11

10.

$1\ +\ 3p\ +\ 6\ =\ 3p\ +\ 15$

a)

-2

b)

-16

c)

All Real Numbers

d)

No Solution

11.

What is the first step you should take to solve this problem?

1 + 4n - 6n = 1 - 8n

a)

subtract 8n to both sides

b)

multiply 6n to both sides

c)

combine the like terms 4n + -6n

12.

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

a)

Subtracted 2x from both sides of the equation

b)

Subtracted 9 from both sides of the equation

c)

Multiplied both sides of the equation by 3

d)

Added -3 to both sides of the equation

13.

Solve:
2x + 1 = 2x - 1

a)

No Solution

b)

x = 0

c)

Infinitely Many Solutions

14.

Based on this student's work, how many solutions should they choose?

a)

One Solution, because all equations only have one solution

b)

No Solutions, because 4=5 is false.

c)

Infinitely Many Solutions (all real numbers), because 4 & 5 are real numbers.

15.

What is the solution to the equations?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

16.

$7x-3=-3+7x$

a)

No Solution

b)

Infinite Solutions

c)

$x=0$

d)

$x=6$

17.

$2\left(x-2\right)=2x-4$

a)

No Solution

b)

Infinite Solutions

c)

$x=8$

d)

$x=-8$

18.

$-2x+5=-2x+5$

a)

No Solution

b)

Infinite Solutions

c)

$x=10$

d)

$x=-20$

19.

$6\left(m+3\right)=2\left(m+5\right)$

a)

No solution

b)

One Solution

c)

Infinite Solutions

20.

$\frac{1}{3}d-6=0$

a)

d = 2

b)

d = -2

c)

d = 18

d)

d = -18

21.

$3+\frac{1}{4}a=31$

a)

a= 28

b)

a= 112

c)

a= 7

d)

a= 67

22.

Solve.

a)

n = 9

b)

n = 18

c)

n = 21

d)

n = 3

23.

$\frac{6}{7}x=6$

a)

3

b)

8

c)

7

24.

$-\frac{2}{3}x\ =\ 6$

a)

x = 6

b)

x = -6

c)

x = 9

d)

x = -9

25.

$\frac{3x}{4}=\frac{1}{8}$

Put just the value of x into the blank.

(a)

26.

How many solutions are there?
6x+2=6x+5

a)

one solution

b)

many solutions

c)

no solutions

27.

What is the missing step for solving the equation?

a)

$-14x-2=5x+34$

b)

$-14x+2=5x+34$

c)

$14x-2=5x+34$

d)

$14x-2=-5x-34$

28.

b\ +\ \frac{4}{5}=\ \frac{9}{10}

a)

$b\ =\frac{1}{10}$

b)

$b\ =\ \frac{13}{15}$

c)

$b\ =\frac{5}{5}$

d)

$b\ =\frac{13}{5}$

29.

Solve for w:

\frac{2w}{5}-9=11

a)

$w=50$

b)

$w=10$

c)

$w=32$

d)

$w=23$

30.

$Solve.\ \ \frac{3a\ -1}{4}\ =\ \frac{-2a\ +\ 4}{-2}$

ONLY PUT THE NUMBER AS THE ANSWER!

(a)

31.

Solve for w:

\frac{2w+6}{5}=8

a)

$w=17$

b)

$w=40$

c)

$w=\frac{7}{2}$

d)

$w=-\frac{3}{2}$

Solving Equations 1

Total questions: 31

Worksheet time: 8hrs 45mins

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