Videos and solutions to help Grade 6 students
learn the definition of solution in the context of placing a value into a variable to see if it makes the
equation true.

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

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Common Core For Grade 6

Lesson 25 Summary

__Variable__: A variable is a symbol (such as a letter) that represents a number (i.e., it is a placeholder for a number).

A variable is a placeholder for "a" number that does not "vary".

__Expression__: An expression is a numerical expression, or a result of replacing some (or all) of the numbers in a
numerical expression with variables.

__Equation__: An equation is a statement of equality between two expressions.

If A and B are two expressions in the variable x, then A = B is an equation in the variable x.

Identify a value for the variable that would make each equation or inequality into a true number sentence. Is this the only possible answer? State when the equation or inequality is true using equality and inequality symbols.

1. 3 + g = 15

2. 30 > 2d

3. 15/f > 5

4. 42 ≤ 50 - m

Example 1

Each of the following numbers, if substituted for the variable, makes one of the equations below into a true number sentence. Match the number to that equation: 3, 6, 15, 16, 44.

a. n + 26 = 32

b. n - 12 = 32

c. 17n = 51

d. 4^{2} = n

e. n/3 = 15

**Problem Set**

Find the solution to each equation.

1. 4^{3} = y

2. 8a = 24

3. 32 = g - 4

4. 56 = j + 29

5. 48/r = 12

6. k = 15 - 9

7. x·1/5 = 60

8. m + 3.45 = 12.8

9. a = 1^{5}

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 25 Student Outcomes

• Students learn the definition of solution in the context of placing a value into a variable to see if it makes the equation true.Lesson 25 Summary

A variable is a placeholder for "a" number that does not "vary".

If A and B are two expressions in the variable x, then A = B is an equation in the variable x.

Opening Exercise

Identify a value for the variable that would make each equation or inequality into a true number sentence. Is this the only possible answer? State when the equation or inequality is true using equality and inequality symbols.

1. 3 + g = 15

2. 30 > 2d

3. 15/f > 5

4. 42 ≤ 50 - m

Example 1

Each of the following numbers, if substituted for the variable, makes one of the equations below into a true number sentence. Match the number to that equation: 3, 6, 15, 16, 44.

a. n + 26 = 32

b. n - 12 = 32

c. 17n = 51

d. 4

e. n/3 = 15

Find the solution to each equation.

1. 4

2. 8a = 24

3. 32 = g - 4

4. 56 = j + 29

5. 48/r = 12

6. k = 15 - 9

7. x·1/5 = 60

8. m + 3.45 = 12.8

9. a = 1

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