Solving Inequalities Quiz

Solving Inequalities Quiz

6th Grade

10 Qs

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Solving Inequalities Quiz

Solving Inequalities Quiz

Assessment

Quiz

Mathematics

6th Grade

Practice Problem

Hard

CCSS
6.EE.B.8, 7.EE.B.4B, HSA.REI.D.12

Standards-aligned

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solving one-step inequality: Solve for x: 2x + 5 < 11

x > 3

x < 5

x < 3

x = 3

Answer explanation

To solve the inequality 2x + 5 < 11, subtract 5 from both sides to get 2x < 6. Then divide both sides by 2 to find x < 3. Therefore, the correct choice is x < 3.

Tags

CCSS.7.EE.B.4B

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solving one-step inequality: Solve for y: 3y - 7 > 14

y > 7

y < 7

y + 7 > 14

y = 7

Answer explanation

To solve the inequality 3y - 7 > 14, we add 7 to both sides to isolate the variable. This gives us 3y > 21. Dividing both sides by 3, we find y > 7. Therefore, the correct choice is y > 7.

Tags

CCSS.7.EE.B.4B

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solving one-step inequality: Solve for z: 4z/2 >= 6

z <= 3

z > 3

z = 3

z >= 3

Answer explanation

To solve the inequality, divide both sides by 2. The inequality becomes 2z >= 6. Divide both sides by 2 again to get z >= 3. Therefore, the correct choice is z >= 3.

Tags

CCSS.6.EE.B.8

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solving one-step inequality: Solve for a: 5a - 3 <= 12

a <= 3

a < 3

a = 15

a >= 3

Answer explanation

To solve the inequality, add 3 to both sides: 5a <= 15. Divide both sides by 5: a <= 3. Therefore, the correct choice is a <= 3.

Tags

CCSS.7.EE.B.4B

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solving one-step inequality: Solve for b: 2b + 8 > 20

b < 6

b = 6

b > 20

b > 6

Answer explanation

To solve the inequality 2b + 8 > 20, subtract 8 from both sides to get 2b > 12. Then divide both sides by 2 to find b > 6. Therefore, the correct choice is b > 6.

Tags

CCSS.7.EE.B.4B

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Graphing inequality on a number line: Graph the inequality: x < 3

Open circle at 3 and shade to the right

Open circle at 3 and shade to the left

Closed circle at 3 and shade to the left

Open circle at 3 and shade to the right

Answer explanation

The correct choice is 'Open circle at 3 and shade to the left' because the inequality x < 3 represents all values less than 3, excluding 3 itself.

Tags

CCSS.6.EE.B.8

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Graphing inequality on a number line: Graph the inequality: y >= -2

Draw a solid line at y = -2 and shade the area above the line

Draw a solid line at y = -2 and shade the area below the line

Draw a solid line at y = 2 and shade the area below the line

Draw a dashed line at y = -2 and shade the area above the line

Answer explanation

To graph the inequality y >= -2, draw a solid line at y = -2 and shade the area above the line.

Tags

CCSS.HSA.REI.D.12

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