1.2 and 1.3 solving one step equations.notebook

1.2 and 1.3 solving one step equations.notebook

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1 Answer?

1. 59

Warm up

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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


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August 29, 2014

Oct 63:47 PM

Inverse Operationstwo operations that undo each other

Addition and

and Division

Squaring and

Oct 63:49 PM

Properties of Equality

Name Property Example

Addition Property

Subtraction Property

Multiplication Property

Division Property

If then

Oct 62:59 PM

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.

Aug 307:30 AM

Let's start with the addition and subtraction properties of equality:

Solve for x and state which property you used:

Aug 307:33 AM

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.

Aug 283:26 PM


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August 29, 2014

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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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Mar 197:45 AM

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

Oct 63:41 PM

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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2.

3.

4.

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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

Dec 133:02 AM

7 What is the solution to 1/4x = 16?

A 4

B 4

C 64

D 64

Multiple choice

Dec 133:02 AM

8 What is the solution to 8/15 = 4/5x?

A 40/60

B 32/75

C 2/3

D 5/2

Multiple choice

Dec 133:02 AM

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


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August 29, 2014

Dec 133:02 AM

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

Oct 69:33 AM

Model and Solve Equations Using Algebra Tiles

x

1

x

11

1

1

1

1

1

1

1

=1

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1x

x

1

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1 1

1 1

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Model and Solve Equations Using Algebra Tiles

x

1

x

1

x

1

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1x

xx 1 111

1

1

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1 11

1 1

1

Aug 307:30 AM

1.2 and 1.3 solving one step equations.notebook

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