Linear Inequalities (Level 1)

Tags

CCSS.7.EE.B.4B

Tags

CCSS.7.EE.B.4B

Answer explanation

To solve the inequality, subtract 2x from both sides: 2x + 3 ≤ 11. Then, subtract 3: 2x ≤ 8. Finally, divide by 2: x ≤ 4. Thus, the correct answer is x ≤ 4.

Answer explanation

To solve the inequality 5x - 2 > 3x + 8, subtract 3x from both sides to get 2x - 2 > 8. Then add 2 to both sides: 2x > 10. Finally, divide by 2: x > 5. The correct answer is x > 4.

Tags

solution set

Answer explanation

To solve the inequality 9x - 4 > 5x + 12, first subtract 5x from both sides: 4x - 4 > 12. Then add 4: 4x > 16. Finally, divide by 4: x > 4. Thus, the correct answer is x > 4.

Answer explanation

To solve for x, first distribute: 24 = 9x - 21. Then, add 21 to both sides: 45 = 9x. Finally, divide by 9: x = 5. Thus, the correct answer is x = 5.

Tags

CCSS.7.EE.B.4A

Answer explanation

To solve the equation 2(x+3)-8=10, first simplify: 2x + 6 - 8 = 10, which simplifies to 2x - 2 = 10. Adding 2 gives 2x = 12, and dividing by 2 results in x = 6. Thus, the correct answer is x = 6.

Tags

CCSS.7.EE.B.4A

Answer explanation

To solve for x, first isolate x on one side: 7x - 2x = 10 + 5. This simplifies to 5x = 15. Dividing both sides by 5 gives x = 3. Thus, the correct answer is x = 3.