Distance Education Mini-Lesson, Module 5. Mary C. Fanchette TEC 571 Grand Canyon University Instructor: March 23, 2011. Objective: TLWBAT solve algebraic addition and subtraction equations by applying the inverse operation and substitution to check solutions.
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Mary C. Fanchette
TEC 571 Grand Canyon University
March 23, 2011
Objective: TLWBAT solve algebraic addition and subtraction equations by applying the inverse operation and substitution to check solutions.
Standard: 6-3.5 Use inverse operations to solve one-step equations that have whole-number solutions and variables with whole-number coefficients.
What: Solve addition and subtraction equations
Why: To find the unknown value and to master the foundation skills for Algebra
How: Using inverse operations and substitution to check solutions
When you were in elementary school, you learned about things called "fact families". Can you still find the missing members of these "fact families"?
1. _____ + 7 = 10
2. _____ - 5 = 3
3. _____ x 8 = 24
4. _____ ÷ 4 = 3
Can you solve these?
1. x + 7 = 10
2. n - 5 = 3
3. m x 8 = 24
4. s ÷ 4 = 3
Do they look similar to the "Fact Families" that you just solved? What do you think the letters represent?
variable - a letter that stands for a number
6 + m = 13 7t = 35
18 ÷ p = 9 z - 8 =3
Equation: a mathematical statement that has numbers, at least one variable, and an equals sign. An equation is balanced, like a scale.
Evaluate: To solve, to find the value of
Inverse operations: Operations that undo each other, opposite: addition/subtraction, multiplication/division
Solution: the value of a variable that makes the equation true or balanced.
Algebra Equation Inverse
Choose the best term from the list to complete each sentence.
1. An ________ has numbers, variables, an equal sign and at least one operation.
2. Operations that "undo" each other are called ________________________.
3. _____________ is a language of symbols, including variables.
1. What is the inverse of multiplication?
2. What is the inverse of subtraction?
3. What is the inverse of addition?
4. What is the inverse of division?
1. Identify the operation taking place.
2. Solve by performing the inverse operation on both sides of the equal sign to keep the equation balanced.
3. Check your answer by substituting the value you found in the place of the variable.
The two sides of an equation are equal to each other. The left side and the right side must be balanced.
6 + 4
When you do something to one side of an equation, you have to do the same thing to the other side.
1) k + 24 = 45 2) n - 15 = 40
3) 4 = x - 12 4) 10 = y + 6
5) 7 + n = 18 6) t - 9 = 23
1) 21 + x = 63 2) s - 7 = 12
3) a + 6 = 11 4) 24 = y -13
5) m - 5 = 16 6) 100 = w + 75