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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}

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 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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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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