1.2 and 1.3 solving one step equations.notebook
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1.2 and 1.3 solving one step equations.notebook
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1 Answer?
1. 59
Warm up
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2.
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Solve One Step Equations
• Model and solve problems including real world applications• Use properties of equality• Apply a variety of problemsolving strategies and verify the results
1.2 and 1.3 solving one step equations.notebook
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Inverse Operationstwo operations that undo each other
Addition and
and Division
Squaring and
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Properties of Equality
Name Property Example
Addition Property
Subtraction Property
Multiplication Property
Division Property
If then
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Solve OneStep Equations
The goal is to isolate the variable (get the variable on one side by itself).
To do this you must use inverse operations and the addition, subtraction, multiplication, and division properties of equality.
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Let's start with the addition and subtraction properties of equality:
Solve for x and state which property you used:
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In the first down, Gavin ran the ball forward 8 yards. During the second down he ran the ball again. The total number of yards gained in the two plays was 22. Write and solve an equation to represent the scenerio and determine the number of yards gained in the second play.
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1.2 and 1.3 solving one step equations.notebook
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Review of solving onestep equations!Can you match the word or phrase to the description?
Word/Phrase DescriptionYou need to isolate this, or get it alone on one side.
Use this to undo multiplication.
The inverse operation of addition.
What you do on one side of the equation, you must do the same on the other side.
Subtraction
Important thing to remember.
Variable
Division
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1.3 Solve equations using multiplication & division
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z = 50
n = 35
y = 4
Quick review of onestep equations!
1) Please solve the following equation for y. y 9 = 36
2) Solve the following equation for n. n 7 = 5
3) Solve the following equation for z. z 15 = 35
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Using reciprocals to solve equations.
Recall that the product of a number and its reciprocal = 1
Use this fact to solve for x when it is multiplied by a fraction.
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Examples:
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5 What is the solution to 3/4x = 18?
A 13.5
B 13.5
C 24
D 24
Multiple choice
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6 A student in class says, "Yesterday, x equalled 2! How can it equal 3 today?" What does the student not understand?
AHe does not understand how to use inverse operations to solve equations.
B He does not understand that variables have varying values, depending on the problem.
C He does not understand that the teacher knows everything.
D He does not understand how to use the substitution property.
Multiple choice
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7 What is the solution to 1/4x = 16?
A 4
B 4
C 64
D 64
Multiple choice
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8 What is the solution to 8/15 = 4/5x?
A 40/60
B 32/75
C 2/3
D 5/2
Multiple choice
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Write and solve an equation representing the following:A puppy weighs 36.5 pounds. Previously, he weighed 24.75 pounds. How much weight has the puppy gained?
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A x + 36.5 = 24.75
B x + 24.75 = 36.5
C 11.75 in.
D 61.25 in.
Multiple answer
2 answers
1.2 and 1.3 solving one step equations.notebook
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August 29, 2014
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10 What property of equality is used to solve the problem below?
A Addition Property
B Division Property
C Multiplication Property
D Subtraction Property
Multiple choice
x + 5 = 8x = 3
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Model and Solve Equations Using Algebra Tiles
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Model and Solve Equations Using Algebra Tiles
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