Solving Linear Equations: Master the Art of Equation Solving

Question 1

What is the solution for 'y' in the equation: √y = 5?

Accepted Answer

y = 25

Answer

y = 10

Answer

y = 125

Answer

y = 5

Question 2

Solve for the value of 'x' in the equation: x - 5 = 10

Accepted Answer

x = 15

Answer

x = -5

Answer

x = -15

Answer

x = 5

Question 3

Which equation is equivalent to 2x - 5 = 11?

Accepted Answer

2x = 16

Answer

x = 3

Answer

x = 8

Answer

2x = 6

Question 4

Which equation represents the line that passes through the points (2, 5) and (4, 9)?

Accepted Answer

y = 2x + 1

Answer

y = x + 3

Answer

y = 1/2x + 4

Answer

y = 2x - 1

Question 5

What are the solutions for 'x' in the equation (x + 2)(x - 3) = 0?

Accepted Answer

x = -2, x = 3

Answer

x = 1, x = -2

Answer

x = 2, x = -3

Answer

x = 0, x = 6

Question 6

Solve the equation for 'x': 3x + 5 = 14

Accepted Answer

x = 3

Answer

x = -3

Answer

x = 6

Answer

x = 19/3

Question 7

What is the correct first step to solve the equation 2x - 7 = 11?

Accepted Answer

Add 7 to both sides

Answer

Subtract 7 from both sides

Answer

Multiply both sides by 2

Answer

Divide both sides by 2

Question 8

If 5x - 10 = 20, what is the value of 'x'?

Accepted Answer

x = 6

Answer

x = 30

Answer

x = 2

Answer

x = 10

Question 9

Solve for 'y' in the equation: 4y + 3 = 2y + 9

Accepted Answer

y = 3

Answer

y = 6

Answer

y = 1

Answer

y = -3

Question 10

Which equation represents the statement: 'Five less than twice a number is 17'?

Accepted Answer

2x - 5 = 17

Answer

5x - 2 = 17

Answer

2x + 5 = 17

Answer

5 - 2x = 17

Question 11

The length of a rectangle is 3 centimeters more than twice its width. If the perimeter of the rectangle is 22 centimeters, what is the width of the rectangle?

Accepted Answer

3 cm

Answer

5 cm

Answer

4 cm

Answer

2 cm

Question 12

Solve for 'a' in the equation: 2(a + 3) = 10

Accepted Answer

a = 2

Answer

a = 1

Answer

a = -2

Answer

a = 5

Question 13

What is the solution to the equation: (1/2)x - 4 = 6?

Accepted Answer

x = 20

Answer

x = 10

Answer

x = 5

Answer

x = 4

Question 14

Solve for 'y' in the equation: -3y + 12 = 6y - 9

Accepted Answer

y = 2.1

Answer

y = -2.1

Answer

y = -1.5

Answer

y = 1.5

Question 15

Which of these steps is NOT a valid way to solve the equation 4x + 8 = 12?

Accepted Answer

Subtract 4 from both sides

Answer

Subtract 8 from both sides

Answer

Multiply both sides by 4

Answer

Divide both sides by 4

Question 16

What is the first step to solve the equation 3x + 5 = 14?

Accepted Answer

Subtract 5 from both sides

Answer

Multiply both sides by 3

Answer

Add 5 to both sides

Answer

Divide both sides by 3

Question 17

Solve for 'x' in the equation: 2x - 7 = 13

Accepted Answer

x = 10

Answer

x = 6

Answer

x = 20

Answer

x = 3

Question 18

Which equation represents the statement: 'Three times a number increased by 5 is equal to 17'?

Accepted Answer

3x + 5 = 17

Answer

x + 5 = 17

Answer

3x - 5 = 17

Answer

3(x + 5) = 17

Question 19

Solve for 'y' in the equation: 4y + 2 = 3y - 5

Accepted Answer

y = -7

Answer

y = -3

Answer

y = 3

Answer

y = 7

Question 20

Which equation is equivalent to 2(x - 3) = 10?

Accepted Answer

2x - 6 = 10

Answer

2x + 6 = 10

Answer

x - 3 = 10

Answer

2x - 3 = 10

Question 21

Solve for *m* in the equation: 5 - 2(*m* + 1) = 11

Accepted Answer

m = -4

Answer

m = 4

Answer

m = -9

Question 22

If 4*x* + 3 = 15, what is the value of 2*x* - 1?

Accepted Answer

5

Answer

7

Answer

13

Answer

11

Question 23

The perimeter of a rectangle is 26 centimeters. If the length is 8 centimeters, what is the width?

Accepted Answer

5 cm

Answer

3 cm

Answer

10 cm

Answer

13 cm

Question 24

Sarah has $25. She spends $5 on a snack and then buys a book for *x* dollars. Which equation represents the amount of money Sarah has left?

Accepted Answer

25 - 5 - x

Answer

25 + 5 - x

Answer

25 - 5 + x

Answer

25 + 5 + x

Question 25

Solve for *x* in the equation: 1/2*x* + 3 = 7

Accepted Answer

x = 8

Answer

x = 4

Answer

x = 14

Answer

x = 2

Question 26

What is the solution to the equation: 3*x* + 5 = 14?

Accepted Answer

x = 3

Answer

x = 6

Answer

x = 1

Answer

x = 2

Question 27

What is the first step in solving the equation: 2(*x* - 3) = 10?

Accepted Answer

Distribute the 2 on the left side.

Answer

Subtract 3 from both sides.

Answer

Divide both sides by 2.

Answer

Add 3 to both sides.

Question 28

If 5*x* - 7 = 23, what is the value of *x*?

Accepted Answer

x = 6

Answer

x = 10

Answer

x = 4

Answer

x = 8

Question 29

Solve for *y* in the equation: 4*y* - 10 = 2*y* + 6

Accepted Answer

y = 8

Answer

y = 4

Answer

y = 2

Answer

y = 1

Question 30

Which equation represents the following statement: 'Five less than twice a number is 13'?

Accepted Answer

2*x* - 5 = 13

Answer

2*x* + 5 = 13

Answer

5*x* - 2 = 13

Answer

5 - 2*x* = 13

Question 31

What is the solution to the equation: -2*x* + 8 = 12?

Accepted Answer

x = -2

Answer

x = -4

Answer

x = 4

Answer

x = 2

Question 32

Solve for *z* in the equation: 1/2*z* - 3 = 7

Accepted Answer

z = 20

Answer

z = 4

Answer

z = 8

Answer

z = 10

Question 33

If *m* represents the number of miles driven and *c* represents the total cost of a taxi ride, which equation represents a cost of $2.50 per mile plus a $5 flat fee?

Accepted Answer

c = 2.50*m* + 5

Answer

c = 5*m* + 2.50

Answer

c = 5 - 2.50*m*

Answer

c = 2.50*m* - 5

Question 34

Solve for *x* in the equation: 3*(x + 2) - 5 = 16

Accepted Answer

x = 5

Answer

x = 7

Answer

x = 1

Answer

x = 3

Question 35

Which of the following is NOT a valid step in solving the equation: 4*x* + 9 = 21?

Accepted Answer

Subtract 9 from both sides and then multiply both sides by 4.

Answer

Subtract 9 from both sides.

Answer

Divide both sides by 4.