ACT Math Percent Problems

ACT Math Lesson 1

(Pre Algebra)​

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By Tory Hebert

Topics ​

• ​Fraction/Decimal Operations

• Absolute Value

• ​Number Terminology

• Basic ​Percent Concepts/Proprtions

• ​Exponent Rules

• Mean, Median, Mode

• Probability

• Matrices ​

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Remember to use parenthesis when dealing with fractions if needed. ​

To find LCD, you divide answer choices by all the numbers until they all work for the smallest choice there. ​

(Same for least common multiple LCM)​

Turn fractions into decimals anytime you are asked to order them. ​

​Fractions/Decimals

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• always do the absolute value parts first and make the numbers you get in them positive

• you cannot distribute into absolute value like parenthesis ​

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Absolute Value ​

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• These tend to be the hardest of this section

• Tip: when not given numbers, come up with real numbers you can use

• ​Imagine numbers on a number line

• ​Prime: a number where the only factors are 1 and itself

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Number Terminology​

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• percent is part over whole (100)

• percent of means to multiply

Percent Operations​

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When the whole is not 100, use a percent proportion​

Percent Proportion​

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Always find the percent OF first, then add or subtract if needed based on what the problem asks. ​

Increase/Decrease ​

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​Basic Percent Concepts

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• ADD the exponent s when multiplying

• SUBTRACT exponents when dividing

• Negative exponents give you the reciprocal

• Fraction Exponents turn into roots​​

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Exponent Rules ​

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Always Remember this et up for MEAN:​

Mean, Median, Mode​

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Probability is the number of favorable outcomes over the total possible. ​

​For AND problems, you multiply

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For OR problems you add​

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​​Be careful for when objects are NOT REPLACED. You will subtract it from the total.

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Matrices ​

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When adding and subtracting, you add/subtract the numbers in the same spots.

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If there would be a number in the font, you distribute to all numbers inside.​

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