Download Solving Equations using Inverse Operations

2016-09-05
Inverse Operations
Solving Equations using
Inverse Operations
6.1
Example 1
Solve each equation using inverse operations.
b) 20 + x = 32
a) k - 18 = 13
Example 3
Solve for "x" using inverse operation.
a) Three times a number is -3.6
What is an inverse operation?
Operations that undo each other.
Examples?
- Adding and Subtracting
- Multiplying and Dividing
- Squaring and taking the square root
Example 2
Solve and Verify.
a) 4.5d - 3.2 = -18.5
b) + 3 = 7.2
Example 5
b) A number divided by 4 is 1.5
Seven percent of a number is 56.7. Write and solve equation then
verify.
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Homework
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Solving Equations using
Balance Strategies
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6.2
Review
Example 1 (Exit Presentation Mode)
Solve.
5x + 3 = 13
a) Solve 3x + 2 = 6 + x using balance scales AND algebra.
X
Example 2 (Exit Presentation Mode)
Example 1 (Exit Presentation Mode)
Solve -2n + 5 = 3n – 5 using algebra tiles AND algebra.
b) Solve 3x + 4 = 10 + x using balance scales AND algebra.
X
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Example 3
Solve and Verify.
Example 5
Solve and Verify.
Example 4
Solve and Verify.
Example 6
Two rental halls are considered for a wedding:
Hall A - $50/person
Hall B - $2000, plus $40/person
Determine the number of people for which the halls will cost the
same to rent.
a) Model this problem with an equation.
b) Solve the problem.
Homework
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Review
Study Guide:
- Solve for variables using:
- Tiles
- Scales
- Algebra
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Review
Practice Quiz!
Review
Kahoot!
Homework
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Introduction to Linear
Equations
6.3
Inequalities
Inequality is used to model a situation that can be described by a
range numbers.
Inequalities
Inequality signs:
Less Than <
Less Than or Equal to ≤
Greater Than >
Greater Than or Equal to ≥
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Example 1
Definition
Graphing on a number line:
- includes point: use whenever you have an equal sign.
- excludes point: use when you do not have an equal to sign.
Example 1
Example 1
Graph the following:
a) Less than or equal to 4
Graph the following:
c)
b) Less than 4
d)
Homework
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Solving Linear Inequalities by
using Addition and Subtraction
6.4
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Review
Graph the following:
X<7
Example 1
Solve, test and graph the following:
Example 3
Solve, test and graph the following:
Solving Inequalities
Solve inequalities exactly as you solve equations except:
- Change the sign when you multiply/divide by a negative.
Example 2
Solve, test and graph the following:
Example 4
A store is offering Beanie Babies on sale for $12.50, including tax.
Sean has set his spending limit at $80. How many Beanie Babies can
he buy and stay within the limit?
a) Write an inequality to model the problem.
b) Solve the inequality and interpret the solution.
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Homework
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Solving Linear Inequalities using
Multiplication and Division
6.5
6.3-6.5 Quiz Coming Soon
Review
Solve, test and graph the following:
3–d>5
Example 2
Solve, test and graph the following:
Example 1
Solve, test and graph the following:
Example 3
Solve, test and graph the following:
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Example 4
Homework
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Example 5
Solve, test and graph the following:
Review 6.4-6.5
Worksheet
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Homework
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