Videos and solutions to help Grade 6 students
learn how to identify values for the variable in an equation and inequality that result in true number sentences.

New York State Common Core Math Module 4, Grade 6, Lesson 24

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Common Core For Grade 6

• Students identify values for the variable in an equation and inequality that result in false number sentences.

**Opening Exercise**

State whether each number sentence is true or false. If the number sentence is false, explain why.

1. 4 + 5 > 9

2. 3 • 6 = 18

3. 32 > 64/4

4. 78 - 15 < 68

5. 22 ≥ 11 + 12

Example 1

Write true or false if the number substituted for g results in a true or false number sentence.

Example 2

State when the following equations/inequalities will be true and when they will be false.

a. r + 15 = 25

b. 6 - b > 0

c. 1/2 f = 15

d. y/3 < 10

e. 7g ≥ 42

f. a - 8 ≤ 15

Exercises

Complete the following problems in pairs. State when the following equations and inequalities will be true and when they will be false.

1. 15c > 45

2. 25 = d - 10

3. 56 ≥ 2e

4. h/5 ≥ 12

5. 45 > h + 29

6. 4a ≤ 16

7. 3x = 24

Identify all equality and inequality signs that can be placed into the blank to make a true number sentence.

8. 15 + 9 ___ 24

9. 8 • 7 ___ 80

10. 15/2 ___ 10

11. 34 ___ 17 • 2

12. 18 ___ 24.5 - 6

**Problem Set**

1. State when the following equations and inequalities will be true and when they will be false.

a. 36 = 9k

b. 67 > f-15

c. v/9 = 3

d. 10+b > 42

e. d-8 ≥ 35

f. 32f < 64

g. 10-h ≤ 7

h. 42+8 ≥ g

i. m/3 = 14

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

New York State Common Core Math Module 4, Grade 6, Lesson 24

Related Topics:

Lesson Plans and Worksheets for Grade 6

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 6

Common Core For Grade 6

Lesson 24 Student Outcomes

• Students identify values for the variable in an equation and inequality that result in true number sentences.• Students identify values for the variable in an equation and inequality that result in false number sentences.

State whether each number sentence is true or false. If the number sentence is false, explain why.

1. 4 + 5 > 9

2. 3 • 6 = 18

3. 32 > 64/4

4. 78 - 15 < 68

5. 22 ≥ 11 + 12

Example 1

Write true or false if the number substituted for g results in a true or false number sentence.

Example 2

State when the following equations/inequalities will be true and when they will be false.

a. r + 15 = 25

b. 6 - b > 0

c. 1/2 f = 15

d. y/3 < 10

e. 7g ≥ 42

f. a - 8 ≤ 15

Exercises

Complete the following problems in pairs. State when the following equations and inequalities will be true and when they will be false.

1. 15c > 45

2. 25 = d - 10

3. 56 ≥ 2e

4. h/5 ≥ 12

5. 45 > h + 29

6. 4a ≤ 16

7. 3x = 24

Identify all equality and inequality signs that can be placed into the blank to make a true number sentence.

8. 15 + 9 ___ 24

9. 8 • 7 ___ 80

10. 15/2 ___ 10

11. 34 ___ 17 • 2

12. 18 ___ 24.5 - 6

1. State when the following equations and inequalities will be true and when they will be false.

a. 36 = 9k

b. 67 > f-15

c. v/9 = 3

d. 10+b > 42

e. d-8 ≥ 35

f. 32f < 64

g. 10-h ≤ 7

h. 42+8 ≥ g

i. m/3 = 14

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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