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Table of contents

Table of contentsEffective StepsStrategies

Draw a model

Organize a Table

Find a Pattern

Algebra Equations

Use Equal Ratios

Effective Steps Think on Paper Start With What You Know One Step at a Time Understand the Question Label your numbers

Strategies: Draw a Model Use models such as pictures, timelines,

number lines, shapes and graphs to solve the problem.

Example: how many line segments must be added to make this a prism?

Click here for answer

Blue: workBlack: original

8

On your own

On your own1. If the sides of an equilateral

triangle were doubled in length what would happen to the area?

Strategies: Organize a Table Use charts or grids to make the

problem simpler. Example: how many rectangles are

in the drawing? 1)

Click here for the answer

Size Number of

Small 3

Medium

2

Large 1

small

medium

large

On your own

On your own1. If I have enough coins to pay the

exact price for any item from one cent to and including one dollar, what is the fewest coins I could have in my pocket? What type are they?

Strategies: Find a Pattern Check all of the possible functions Example: What is the rule for this

table? x y4 517 1821 22

x y4 517 1821 22

+1+ 13

+4

Right: blueWrong: Red

Why is red wrong?It goes up at an unsteady pace.

+ 13

+4+1+1

Why is Blue right?It goes up at a steady pace.

On your own

On your own1. These are the first four triangular

numbers, what is the tenth one?

* * * * * * * * * * * * * * * *

* * * *

Algebra EquationsContents: Simple Equations

(Parenthesis)

Simple Equations,On Your Own

Parenthesis, On Your Own

How to Solve

3x+4=13

-4 -4

3x=93 3x=3

4x-5=154x-5=15

+5 +5

4x=204 4x=5

Divide

Eliminate numbers without a variable(x).

3x+4=13

On your own Algebra equations

On Your Own1. 4x+6=42 2. 9x+14=32

3. 5x+2=12 4. 6x+5=41

5. 7x-3=11 6. 3x-9=3

7. 5x-4=21 8. 9x-5=13

Answer Key

Algebra equations

(Parenthesis)

4(x+5)=324(x+5)=32

4x+20=32-20 -20

4x=124 4

x=3

3(x-4)=123(x-4)=12

3x-12=12+12 +123x=243 3 x=8

Multiply to everything inside parenthesis.

Get rid of numbers without a variable

Divide

On your own Algebra equations

On Your Own(Parenthesis)

1. 3(x+5)=273. 5(x+7)=70

2. 9(x+2)=81

4. 5(x-6)=15

5. 4(x-4)=24 6. 2(-9+x)=42

Answer Key

Algebra equations

Strategies: Use Equal Ratios To make problems simpler use equal ratios. When using these start with what you know You can cross multiply or use the arrows

method to figure out the variable. Example:1)solve for x:

X = _6_ 16 192

Click here for answer by cross multiplying

Click here for arrows method

Cross multiply X = 6 16 192

192x=96or

192*X=6*16

2nd divide

192x=96192 192

1st 3rdanswer

X=1/2

On your own

Arrows method

X = 6 16 192

?

192 / 12 = 16

1st 2nd

X = 6 16 192

6 / 12 = 1/2

3rd answer: X = 1/2