TheAlgebra

Commandments

Items to RememberItems to

Remember1. Circle or highlight then RENAME key

words to make it easier to understand!

2. Use the process of elimination on EVERY problem!

Review Day 1

Review Day 1

I. Benquad• Anytime you see a variable

squared, use benquad. (x2)– Think of your two best friends – Ben

and Quad

• Prime is NOT pretty!!!

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II. Exponent RulesWhen you multiply variables,

you add the exponents, (so exponents get larger)

x = +

When you divide variables, you subtract the exponents, (so exponents get smaller)

/ = ─

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Review Day 2

Review Day 2

III. Distributive Property• Car Wreck – Everyone behind

must adjust their driving to avoid the wreck!!!

- (2x + 5) = -2x – 5

7(8x + 3) = 56x + 21

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IV. Equations & Inequalities• Distributive Property• Combine Like Terms• Cancel a variable• Solve

• Reverse the sign if:• Multiplied by a negative• Divided by negative• Changed the side of the variable

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V. Absolute Value• Get absolute value by itself first!

• Remember to write TWO equations/inequalities

• When linear, creates a “v-shaped” graph

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Review Day 3

Review Day 3

VI. Substitution Property

Also known as . . . plug it in

Important: Remember to ALWAYS place the number you are substituting inside parentheses!!!

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VII. Matrices• Reminder: Numbers must be in

corresponding places to work with.

• To find the scalar you can – set up an equation and solve– set up a proportion– divide the second number by the first

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Let’s Practice!SATP Take

1

Days 4 & 5

Let’s Practice!SATP Take

1

Days 4 & 5

Review Day6

Review Day6

VIII. The Lineareq Program

Use for anything with linear equations!

• slope

• distance

• midpoint

• write an equation

• slope-intercept form

• standard form

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IX. Parallel & Perpendicular

• Parallel means equal slopeThere is an equal sign hiding in the word, can you find it?

• Perpendicular has two “P”s, so there are two things that we must do

inverse (opposite sign)reciprocal (flip it)

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X. Rate of ChangeAlso known as slope

This is found using the formula:RiseRun

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Review Day7

Review Day7

XI. Scatter Plots & StatsUse your STAT key when given a chart or points.

Use EDIT to enter data into lists

Use CALC after data is entered to find the line-of-best-fit

(#4 when x, or #5 when x2)

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XII. The Asystems Program

This program can be used anytime you are given a system of equations written in standard form.

It will identify the intersection and also graph the lines.

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XIII. When you see y=, do something with it!

This can be used anytime you want to graph an equation or inequality.

Remember: it must be written in slope-intercept form!!!

You can also calculate various points such as an intersection and points using this button.

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Review Day8

Review Day8

XIV. PolynomialsWorking with polynomials I is important to remember the rules of exponents…

1) You may only add and subtract like terms

2) When multiplying variables, add exponents

3) When dividing variables, subtract exponents

USE YOUR FORMULA CHART!

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XV. CirclesDiameter is the distance from one end of a circle to the other, crossing through the middle.

Radius is the distance from the center of the circle to the edge. It is half the distance of the diameter.

Circumference = πd

Area = πr2

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XVI. The Pythagorean Theorem

This is used when dealing with calculating distance of one side of a right triangle.

a2 + b2 = c2

a and b are legs, c is the hypotenuse

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Let’s Practice!SATP Take

2

Days 9 & 10

Let’s Practice!SATP Take

2

Days 9 & 10

Extra: The Boolean Mode

Boolean Mode

also known as checking mode

1 = correct

0 = incorrect

• Destroy those problems using Boolean Algebra

1) Name a value for each variable.99 99 1

2) Enter the problem.

3) Put the calculator in Boolean mode. 1

4) Enter the answer for choice A, then press .

Go on a Search & Destroy Mission!

If you get a result of 0, then it is NOT the correct answer choice.

Replace choice A with choice B.1)

2) until only the problem remains.3) Enter answer choice B. 4) Repeat steps 1 – 3 until you get an

answer of 1, indicating you have found the correct answer choice.

Boolean Mode

also known as checking mode

1 = correct

0 = incorrect