Multi-step equations and Proportions (Quiz)

Answer explanation

To solve the equation, first distribute the 3: 6x - 12 = 18. Then, add 12 to both sides: 6x = 30. Finally, divide by 6 to find x = 5.

Tags

CCSS.7.EE.B.4A

3x - 4 = 2x + 5

• -9

• 9

• 1

• -1

Answer explanation

To solve for x, first isolate it: 3x - 2x = 5 + 4. This simplifies to x = 9. Thus, the correct answer is 9.

5x + 3 = 2x + 12

• 3

• 2

• 1

• 4

Answer explanation

To solve for x, first subtract 2x from both sides: 5x - 2x + 3 = 12. This simplifies to 3x + 3 = 12. Next, subtract 3 from both sides: 3x = 9. Finally, divide by 3 to get x = 3, which is the correct answer.

4x + 7 = 2x + 19

• 5

• 6

• 7

• 8

Answer explanation

To solve for x, first subtract 2x from both sides: 4x - 2x + 7 = 19. This simplifies to 2x + 7 = 19. Next, subtract 7 from both sides: 2x = 12. Finally, divide by 2 to find x = 6.

• 5

• 10

• 4

• 22

Answer explanation

To solve -4(7a + 5) = -160, divide both sides by -4 to get 7a + 5 = 40. Then, subtract 5 from both sides: 7a = 35. Finally, divide by 7 to find a = 5. Thus, the correct answer is 5.

Tags

CCSS.7.EE.B.4A

Answer explanation

To solve the equation 2(x + 3) - 4 = 10, first distribute: 2x + 6 - 4 = 10. Simplifying gives 2x + 2 = 10. Subtract 2 from both sides: 2x = 8. Finally, divide by 2: x = 4. The correct answer is x = 5.

Tags

CCSS.7.EE.B.4A

7x - 5 = 3x + 15

• 5

• 4

• 3

• 6

Answer explanation

To solve for x, first isolate x by subtracting 3x from both sides: 7x - 3x - 5 = 15. This simplifies to 4x - 5 = 15. Next, add 5 to both sides: 4x = 20. Finally, divide by 4 to get x = 5.

Answer explanation

To solve the equation 2(x + 3) = 14, first divide both sides by 2 to get x + 3 = 7. Then, subtract 3 from both sides to find x = 4. Thus, the correct answer is x = 4.

Tags

CCSS.7.EE.B.4A

• x = 8

Answer explanation

To solve the equation 5(x - 2) = 3x + 6, first distribute: 5x - 10 = 3x + 6. Then, isolate x by subtracting 3x from both sides: 2x - 10 = 6. Add 10 to both sides: 2x = 16. Finally, divide by 2: x = 8. The correct answer is x = 4.

• 2

• 3

• 4

• 5

Answer explanation

To solve for x, first subtract 2x from both sides: 4x - 2x + 9 = 15. This simplifies to 2x + 9 = 15. Next, subtract 9 from both sides: 2x = 6. Finally, divide by 2 to find x = 3. Thus, the correct answer is 3.