6.1 - Addition and Subtraction Inequalities Worksheet (Grade 6)

Solve each inequality. Graph the solution set on a number line. For x + 5 < 7, which statement about x is correct?

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Tags

CCSS.7.EE.B.4B

Solve each inequality. 1 > x + 6,

Mathematical Equivalence

OFF

Tags

CCSS.7.EE.B.4B

Solve each inequality.

5 ≤ 12 + x

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Tags

CCSS.7.EE.B.4B

Solve each inequality. Graph the solution set on a number line. For 8 + x ≥ 14, which statement about x is correct?

Mathematical Equivalence

OFF

Answer explanation

To solve 8 + x ≥ 14, subtract 8 from both sides: x ≥ 6. Thus, the correct statement about x is x ≥ 6.

Tags

CCSS.7.EE.B.4B

Solve each inequality. Graph the solution set on a number line. For x + 5.4 < −1.6, which statement about x is correct?

Mathematical Equivalence

OFF

Answer explanation

To solve x + 5.4 < -1.6, subtract 5.4 from both sides: x < -1.6 - 5.4, which simplifies to x < -7. Thus, the correct statement about x is x < -7.

Tags

CCSS.7.EE.B.4B

Solve each inequality. Graph the solution set on a number line. For x + 7.5 > −2.5, which statement about x is correct?

Mathematical Equivalence

OFF

Answer explanation

To solve x + 7.5 > -2.5, subtract 7.5 from both sides: x > -10. Thus, the correct statement about x is x > -10.

Tags

CCSS.7.EE.B.4B

Solve each inequality. Graph the solution set on a number line. For 3 ≤ 1/3 + x, which statement about x is correct?

Mathematical Equivalence

ON

Answer explanation

To solve 3 ≤ 1/3 + x, subtract 1/3 from both sides: 3 - 1/3 = 8/3. Thus, x ≥ 8/3. The correct statement about x is x ≥ 8/3.

Tags

CCSS.7.EE.B.4B

Solve each inequality. Graph the solution set on a number line. For 4 ≥ x + 3/4, which statement about x is correct?

Mathematical Equivalence

ON

Answer explanation

To solve 4 ≥ x + 3/4, subtract 3/4 from both sides: 4 - 3/4 = 13/4. Thus, x ≤ 13/4. The correct statement about x is x ≤ 13/4.

Tags

CCSS.7.EE.B.4B

Solve each inequality. Graph the solution set on a number line. For x − 3 ≤ −8, which statement about x is correct?

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Answer explanation

To solve x - 3 ≤ -8, add 3 to both sides: x ≤ -5. Thus, the correct statement about x is x ≤ -5.

Tags

CCSS.7.EE.B.4B

Solve each inequality. Graph the solution set on a number line. For 4 ≤ x − 7, which statement about x is correct?

Mathematical Equivalence

OFF

Answer explanation

To solve the inequality 4 ≤ x - 7, add 7 to both sides: 4 + 7 ≤ x, which simplifies to 11 ≤ x. This means x is greater than or equal to 11, so the correct statement is x ≥ 11.

Tags

CCSS.7.EE.B.4B