True and False Number Sentences - Lesson 24

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

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

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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

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