Solving Equations: Master the Art of Equation Solving

Question 1

Solve: 1/2x + 3 = 7

Accepted Answer

x = 6

Answer

x = 4

Answer

x = 8

Answer

x = 10

Question 2

Which equation is in slope-intercept form?

Accepted Answer

y = 2x + 1

Answer

2x - y = 3

Answer

x + y = 5

Answer

3x - 2y = 6

Question 3

Solve for x in the equation: 2x + 1 = 5(x - 2)

Accepted Answer

x = 3

Answer

x = 1

Answer

x = 5

Answer

x = 7

Question 4

Solve for y in the equation: 3(y - 2) = 9

Accepted Answer

y = 7

Answer

y = 5

Answer

y = 9

Answer

y = 11

Question 5

Find the value of z that satisfies the equation: 2/3z - 1 = 5

Accepted Answer

z = 6

Answer

z = 3

Answer

z = 9

Answer

z = 12

Question 6

Solve the system of equations and choose the correct solution: x + y = 10, x - y = 2

Accepted Answer

x = 6, y = 4

Answer

x = 4, y = 6

Answer

x = 5, y = 5

Answer

The system has no solution.

Question 7

Solve the inequality and choose the correct answer: 3x + 2 > 11

Accepted Answer

x > 3

Answer

x < 3

Answer

x ≥ 3

Answer

x ≤ 3

Question 8

In the equation 3x - 5 = 10, what is the value of x?

Accepted Answer

x = 7

Answer

x = 3

Answer

x = 5

Answer

x = 9

Question 9

Solve for x in the equation: 0.5x + 1.2 = 3.7

Accepted Answer

x = 5.0

Answer

x = 4.5

Answer

x = 5.5

Answer

x = 6.0

Question 10

To solve for x in the equation 3x + 5 = 14, what is the first step?

Accepted Answer

Subtract 5 from both sides

Answer

Subtract 3 from both sides

Answer

Divide both sides by 3

Answer

Multiply both sides by 3

Question 11

Solve the equation 3x - 5 = 2(x + 1).

Accepted Answer

4

Answer

2

Answer

6

Answer

8

Question 12

Solve for y: 0.5y + 2 = 1.5y - 3.

Accepted Answer

5

Answer

10

Answer

15

Answer

20

Question 13

Solve for x: x^2 - 9 = 0

Accepted Answer

-3 or 3

Answer

3

Answer

6 or -6

Answer

9 or -9

Question 14

Solve for y in the equation: (3(y - 2) = 15)

Accepted Answer

7

Answer

3

Answer

5

Answer

9

Question 15

Which of the following is a variable?

Accepted Answer

x

Answer

2

Answer

15

Answer

π

Question 16

What is the coefficient of the variable in the expression (3x + 2y)?

Accepted Answer

3

Answer

2

Answer

x

Answer

y

Question 17

Find the solution to the equation: x + 5 = 12

Accepted Answer

x = 7

Answer

x = 17

Answer

x = 5

Answer

x = 6

Question 18

Solve for y: 2y - 7 = 15

Accepted Answer

y = 11

Answer

y = 8

Answer

y = 6

Answer

y = 10

Question 19

Find the value of n: 0.5n - 2 = 3

Accepted Answer

n = 5

Answer

n = 10

Answer

n = 2

Answer

n = 8

Question 20

Solve for x: |x + 1| = 5

Accepted Answer

x = 4, -6

Answer

x = -4, 6

Answer

x = -5

Answer

x = 5

Question 21

Find the solution to the equation: y^2 - 9 = 0

Accepted Answer

y = 3, -3

Answer

y = 6, -6

Answer

y = 9, -9

Answer

y = 12, -12

Question 22

Which of the following is NOT a solution to the equation: 5x + 2 = 17?

Accepted Answer

x = 2

Answer

x = 3

Answer

x = 4

Answer

x = 5

Question 23

Find the solution to the inequality: 2x - 3 > 7

Accepted Answer

x > 5

Answer

x < 5

Answer

x > -5

Answer

x < -5

Question 24

Solve the equation: 3(x - 2) = 12

Accepted Answer

x = 6

Answer

x = 0

Answer

x = 4

Answer

x = 8

Question 25

Solve the equation: 2y - 0.5 = 1.5

Accepted Answer

y = 1.5

Answer

y = 0.5

Answer

y = 1

Answer

y = 2

Question 26

Which equation is equivalent to 2(x + 3) = 8?

Accepted Answer

2x + 6 = 8

Answer

x + 6 = 4

Answer

x + 6 = 8

Answer

2x + 6 = 16

Question 27

Find the value of y: 3(y - 2) = 9

Accepted Answer

y = 5

Answer

y = 1

Answer

y = 3

Answer

y = 7

Question 28

Solve for y: 2^(y+1) = 32

Accepted Answer

y = 4

Answer

y = 3

Answer

y = 5

Answer

y = 6

Question 29

Solve the equation: 0.5y + 1 = 3

Accepted Answer

2

Answer

4

Answer

6

Answer

8

Question 30

Which value of x satisfies the equation: 2x - 5 = 9?

Accepted Answer

7

Answer

2

Answer

14

Answer

28

Question 31

Which of the following is NOT a step in solving the equation: 2y + 3 = 11?

Accepted Answer

Multiply both sides by 2

Answer

Subtract 3 from both sides

Answer

Divide both sides by 2

Answer

Add 3 to both sides

Question 32

Which of the following equations has no solution?

Accepted Answer

x^2 = -4

Answer

x + 5 = x - 3

Answer

2x = 6

Answer

(x + 2)(x - 3) = 0

Question 33

Solve the equation: 5x - 20 = 0

Accepted Answer

x = 4

Answer

x = 5

Answer

x = 6

Answer

x = 7

Question 34

Solve for y: (y - 3) divided by 2 equals 5

Accepted Answer

y = 13

Answer

y = 7

Answer

y = 17

Answer

y = 23

Question 35

Solve for z: 3z minus 10 equals 2z plus 5

Accepted Answer

z = 15

Answer

z = -5

Answer

z = -15

Answer

z = 25

Question 36

Solve for x: 2(x - 1) plus 3 equals 7

Accepted Answer

x = 3

Answer

x = 1

Answer

x = 2

Answer

x = 4

Question 37

Solve the inequality: 3x minus 5 is greater than 10

Accepted Answer

x > 5

Answer

x < 5

Answer

x > -5

Answer

x < -5

Question 38

Solve for x in the equation: absolute value of x minus 2 equals 5

Accepted Answer

x = 3 or x = 7

Answer

x = -3 or x = 7

Answer

x = -3 or x = -7

Answer

x = 3 or x = -7

Question 39

What is the slope of the line represented by the equation y = 2x + 3?

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 40

Translate the following verbal description into a mathematical equation: 'The difference between a number and 5 is equal to 12'.

Accepted Answer

x - 5 = 12

Answer

12 - x = 5

Answer

x + 5 = 12

Answer

5 - x = 12

Question 41

Which equation represents the statement 'Five times a number, minus 3, is equal to 17'?

Accepted Answer

5x - 3 = 17

Answer

3x - 5 = 17

Answer

5x + 3 = 17

Answer

3x + 5 = 17

Question 42

If you add 5 to twice a number, the result is 19. What is that number?

Accepted Answer

7

Answer

2

Answer

9

Answer

12

Question 43

In the equation y = 2x - 3, what is the value of y when x is 4?

Accepted Answer

y = 5

Answer

y = -1

Answer

y = 1

Answer

y = 11

Question 44

Solve for 'a': 5a - 2 = 3a + 8

Accepted Answer

a = 5

Answer

a = -5

Answer

a = -3

Answer

a = 3

Question 45

What is the solution to the equation 3x - 5 = 16?

Accepted Answer

x = 7

Answer

x = 11

Answer

x = -7

Answer

x = 3.67

Question 46

In the equation 2y + 7 = 15, solve for 'y.'

Accepted Answer

y = 4

Answer

y = 11

Answer

y = -4

Answer

y = 1

Question 47

Which equation represents the sentence 'The difference between twice a number and 5 is 13'?

Accepted Answer

2x - 5 = 13

Answer

5x - 2 = 13

Answer

5 - 2x = 13

Answer

2x + 5 = 13

Question 48

Solve for 'm' in the equation 4m / 3 - 2 = 6.

Accepted Answer

m = 6

Answer

m = 1.5

Answer

m = 3

Answer

m = 12

Question 49

Find the solution to the equation 0.5x + 2 = 5.

Accepted Answer

x = 6

Answer

x = 1.5

Answer

x = 14

Answer

x = 3

Question 50

In the equation 2(x + 3) - 4 = 10, solve for 'x.'

Accepted Answer

x = 4

Answer

x = 1

Answer

x = -1

Answer

x = 7

Question 51

Given the equation 3y + 5 = 20, what is the value of 2y?

Accepted Answer

10

Answer

5

Answer

15

Answer

2.5

Question 52

Which of the following is a solution to the equation x/2 - 3 = 1?

Accepted Answer

x = 8

Answer

x = 2

Answer

x = 4

Answer

x = -2

Question 53

The sum of three consecutive integers is 36. What is the largest of these integers?

Accepted Answer

13

Answer

14

Answer

12

Answer

11

Question 54

If 5x - 2 = 3x + 8, what is the value of x?

Accepted Answer

x = 5

Answer

x = -3

Answer

x = -5

Answer

x = 3