Find Solutions to Make Equations True
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
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 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. 42 = n
e. n/3 = 15
Problem Set
Find the solution to each equation.
1. 43 = 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 = 15
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
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.
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. 42 = n
e. n/3 = 15
Find the solution to each equation.
1. 43 = 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 = 15
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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