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Alg 1 Day 3 Solving Multistep Inequalities

Authored by Adeyemi Aderinto

Mathematics

9th - 12th Grade

CCSS covered

Used 5+ times

Alg 1 Day 3 Solving Multistep Inequalities
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16 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Do I need to flip my inequality symbol?
-3x  ≥ 12

Yes, because I'll be dividing by a negative number (-3)

No, because I am dividing a positive number 12

Answer explanation

Yes, you need to flip the inequality symbol when dividing by a negative number. In this case, dividing both sides of -3x ≥ 12 by -3 requires flipping the symbol to get x ≤ -4.

Tags

CCSS.6.EE.B.8

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Do I need to flip my inequality symbol?
3x  ≥ -12

Yes, because I'll be dividing by a negative number

No, because you I am dividing by a positive

Answer explanation

No, because I am dividing by a positive number. When you divide or multiply both sides of an inequality by a positive number, the direction of the inequality remains the same.

Tags

CCSS.6.EE.B.8

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

2x + 6 ≥ -8

x ≥ -7

x ≤ -7

x ≥ -10 

x ≤ -10

Answer explanation

To solve 2x + 6 ≥ -8, subtract 6 from both sides: 2x ≥ -14. Then, divide by 2: x ≥ -7. Thus, the correct answer is x ≥ -7.

Tags

CCSS.7.EE.B.4B

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

-3x − 4 < 5

x > -3

x < -3

x < 3

x > 3

Answer explanation

To solve -3x - 4 < 5, add 4 to both sides: -3x < 9. Then, divide by -3 (remember to flip the inequality): x > -3. Thus, the correct answer is x > -3.

Tags

CCSS.7.EE.B.4B

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve

5x - 7 ≥ 8

x > 3

x ≤ ⅕

x ≥ 3

x ≤ ⅕

Answer explanation

To solve 5x - 7 ≥ 8, add 7 to both sides: 5x ≥ 15. Then, divide by 5: x ≥ 3. Thus, the correct answer is x ≥ 3.

Tags

CCSS.7.EE.B.4B

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

-9x + 7 ≥ 25

x ≥ -3.6

x ≤ 2

x ≥ -2

x ≤ -2

Answer explanation

To solve -9x + 7 ≥ 25, subtract 7 from both sides to get -9x ≥ 18. Dividing by -9 reverses the inequality, yielding x ≤ -2. Thus, the correct answer is x ≤ -2.

Tags

CCSS.7.EE.B.4B

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

x > 20

x ≥ 4

x ≥ 5

x ≥ 20

x ≥ -20

Tags

CCSS.7.EE.B.4B

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