Videos and solutions to help Grade 6 students
understand that an inequality with numerical expressions is either true or false.

New York State Common Core Math Module 4, Grade 6, Lesson 33

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Common Core For Grade 6

**Problem Set**

Choose the number(s), if any, that make the equation or inequality true from the following set of numbers: {0,3,4,5,9,13,18,24}.

1. h - 8 = 5

2. -8 < 5

3. 4g = 36

4. 4g ≥ 36

5. 1/4 y = 7

6. 1/4 y > 7

7. m - 3 = 10

8. m - 3 ≤ 10

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 33

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 33 Student Outcomes

• Students understand that an inequality with numerical expressions is either true or false. It is true if the numbers calculated on each side of the inequality sign result in a correct statement and false otherwise.

• Students understand solving an inequality is answering the question of which values from a specified set, if any, make the inequality true.

Example 1

What value(s) does the variable have to represent for the number sentence to be a true statement? What value(s) does the variable have to represent for the number sentence to be a false statement?

a.
y + 6 = 16

b.
y + 6 > 16

c.
y + 6 ≥ 16

d. 3g = 15

e. 3g > 15

f. 3g ≥ 15

g. 3g ≤ 15

Example 2

Which of the following numbers from this set make the equation true? {0, 3, 5, 8, 10, 14}

a. m + 4 = 12

b.
m + 4 < 12

c. f - 4 = 2

d. f - 4 > 2

e. 1/2 h = 8

f. 1/2 h ≥ 8

Exercises

Choose the numbers that make the equation or inequality true from the following set of numbers: {0, 1, 5, 8, 11, 17}

1. m + 5 = 6

2. m + 5 ≤ 6

3. 5h = 40

4. 5h > 40

5. 1/2 y = 5

6. 1/2 y ≤ 5

7. k - 3 = 20

8. k - 3 > 20

Choose the number(s), if any, that make the equation or inequality true from the following set of numbers: {0,3,4,5,9,13,18,24}.

1. h - 8 = 5

2. -8 < 5

3. 4g = 36

4. 4g ≥ 36

5. 1/4 y = 7

6. 1/4 y > 7

7. m - 3 = 10

8. m - 3 ≤ 10

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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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