Two Step Equations Mastery

Solve for x: 3x + 5 = 17

• x = 3

• x = 5

• x = 4

Answer explanation

To solve for x, subtract 5 from both sides: 3x = 12. Then divide by 3 to get x = 4. Therefore, x = 4 is the correct choice.

Find the value of y: 2y - 8 = 10

• 9

• 11

• 5

Answer explanation

To find the value of y, first, add 8 to both sides of the equation: 2y = 18. Then, divide by 2 to get y = 9. Therefore, the correct answer is 9.

What is the solution to 4(a + 3) = 32?

• a = 12

• a = 5

• a = 7

Answer explanation

To solve the equation, first distribute the 4: 4a + 12 = 32. Then, subtract 12 from both sides to get 4a = 20. Finally, divide by 4 to find a = 5. Therefore, the correct answer is a = 5.

Determine the value of x in the equation 2(x - 4) = 10

• x = 12

• x = 7

• x = 9

Answer explanation

To solve the equation, first distribute the 2: 2x - 8 = 10. Then, add 8 to both sides: 2x = 18. Finally, divide by 2 to find x = 9, which is the correct answer.

Solve for x: 5x - 7 = 18

• x = 5

• x = 10

• x = -2

Answer explanation

To solve for x, add 7 to both sides to isolate x. 5x = 25, then divide by 5 to get x = 5. Therefore, x = 5 is the correct choice.

If 3(2y + 5) = 39, what is the value of y?

• 7

• 6

• 4

Answer explanation

To find y, first distribute 3 to 2y and 5: 6y + 15 = 39. Then, subtract 15 from both sides to get 6y = 24. Finally, divide by 6 to find y = 4, which is the correct answer.

What is the solution to 2(a - 6) = 16?

• a = 22

• a = 14

• a = 10

Answer explanation

To solve the equation, first distribute the 2: 2a - 12 = 16. Then, add 12 to both sides: 2a = 28. Finally, divide by 2 to find a = 14, which is the correct answer.

Find the value of x in the equation 4(x + 2) = 24

• x = 5

• x = 8

• x = 10

Answer explanation

To solve the equation, first distribute the 4: 4x + 8 = 24. Then, subtract 8 from both sides: 4x = 16. Finally, divide by 4 to find x = 4.

Solve for x: 6x + 9 = 33

• x = 7

• x = 4

• x = 6

Answer explanation

To solve for x, first subtract 9 from both sides: 6x = 24. Then divide by 6 to find x = 4. Therefore, x = 4 is the correct answer.

Determine the value of y in the equation 4(3y - 2) = 22

• y = 2.5

• y = 3

• y = 5

Answer explanation

To solve the equation, first distribute the 4: 12y - 8 = 22. Then, isolate y: 12y = 30, y = 30/12 = 2.5. Therefore, y = 2.5 is the correct answer.