Probability = \frac{\# \text{ of desirable outcomes}}{\# \text{ of total outcomes}}

y = mx + b m is the slope, and b is the y-intercept. (x, y) is any point on the line.

The space inside of a shape, measured in square units.

Circumference Definition

The length along the outside of a circle (a.k.a., the perimeter of a circle).

The length from one side of a circle to the other, going through the center. Equal to two times the radius.

A whole number, could be positive or negative, just can’t be a fraction or a decimal.

The length around the outside of a shape, calculated by adding up all the side lengths.

Probability Definition

The likelihood that an event occurs, expressed as a decimal or fraction from 0 to 1, or as a percent from 0% to 100%. For example, the probability of a coin landing on heads is $ \frac{1}{2} = 0.5 = 50\% $.

The distance from the center of a circle to the outside of a circle. Equal to one half the diameter.

A letter that represents an unknown number. The most common variable is x.

What does it mean to “solve” an equation?

It means to find the value of the variable. You do it by using inverse operations to isolate the variable.

Inverse operations Definition

Opposite operations that undo each other. Addition and subtraction are inverse operations. Multiplication and division are inverse operations.

How do you solve -3y = 6?

Divide both sides by the coefficient. y = -2

Combining Like Terms Definition

Adding or subtracting like terms. You do this by adding or subtracting the coefficients and keeping the variables the same.

How do you solve \frac{2}{5}x = 4?

Multiply both sides by the reciprocal, \frac{5}{2}. x = 10

How can you solve a proportion? For example: \frac{12}{x} = \frac{30}{75}

Cross-multiply and divide. x = 30

Absolute Value Definition

The distance of a number from zero (a.k.a. the positive version of a number). The absolute value of a number is always positive. |-3| = 3

Coefficient Definition

A number being multiplied by a variable. Example: In the expression -3y, -3 is the coefficient and y is the variable.

Invisible operation between a coefficient and a variable

Multiplication. -3y just means -3 \cdot y.

How to solve \frac{x}{-7} = 2

Undo the division using multiplication. Multiply both sides by -7: x = -14.

Distributive Property Definition

Multiplying a number on the outside of parentheses by every number inside parentheses. Examples: 2(x + 3) = 2x + 6, -5(2y^2 - 7) = -10y^2 + 35.

Reciprocal Definition

The flipped version of a fraction. (Switch the numerator and denominator.) Examples: \frac{2}{3} and \frac{3}{2}, 3 and \frac{1}{3}, -\frac{1}{7} and -7.

Setting up a proportion problem

with words, same type of thing, same type of thing.

Use the Answers Definition

A strategy on the ACT where you can plug in each answer choice to see which one works. Start with the middle answer choice, then go to the smaller or larger answer choices.

Finding the probability they like vanilla, given they like soccer.

Only look at what's given (soccer). Out of those 30 who like soccer, 18 like vanilla. P(vanilla|soccer) = \frac{18}{30} = \frac{3}{5}

Finding OR probabilities from a table.

"OR" means ADD! Add up anyone who likes chocolate, or soccer, or both. \frac{40}{72} = \frac{5}{9}

Meaning of WITHOUT REPLACEMENT.

You must subtract one from the numerator and denominator of the fraction. Example: P(Red on first AND second) = \frac{3}{5} \times \frac{2}{4} = \frac{3}{10}

Using a fraction in the calculator.

Use the calculator's fraction function.

Finding the probability of "A given B".

Calculate the probability out of what's given. P(A|B) = \frac{P(A \cap B)}{P(B)}

Finding the probability that an event does not occur.

Subtract the probability from 1 (or 100% if given as a percent). Example: 1 - \frac{1}{3} = \frac{2}{3}

Finding the probability of independent events A and B happening.

AND means MULTIPLY! Example: \frac{1}{6} \times \frac{1}{6} = \frac{1}{36}

Calculating a percent of a number.

1) Convert the percent to a fraction or a decimal. 2) Multiply by the number. Example: 0.35 \times 80 = 28

Geometric Formulas Flashcards

Student preview

40 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Area of a Circle Formula

Back

2.

FLASHCARD QUESTION

Front

Area of a Rectangle Formula

Back

3.

FLASHCARD QUESTION

Front

Area of a Square Formula

Back

4.

FLASHCARD QUESTION

Front

Area of a Triangle Formula

Back

5.

FLASHCARD QUESTION

Front

Circumference of a Circle Formula

Back

6.

FLASHCARD QUESTION

Front

Perimeter of a Rectangle Formula

Back

7.

FLASHCARD QUESTION

Front

Perimeter of a Square Formula

Back

P = 4s \\nP is the perimeter. s is the side length.

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