Question 1

Like Terms Definition

Accepted Answer

Terms that have the same variable combination Ex 1: 3x & 5x Ex 2: 4xy & 7xy Ex 3: 6 & 9

Question 2

Adding Fractions What do you need to add fractions?

Accepted Answer

Requires a common denominator. (Same number on the bottom of the fraction)

Question 3

Multiplying Fractions How do you multiply fractions?

Accepted Answer

Multiply straight across the top and straight across the bottom.

Question 4

Variable Denominators What's the first step in solving an equation with variable denominators?

Accepted Answer

When there are variables in the denominator, multiply all terms by other denominators.

Question 5

Factors Definition What are the factors of 12?

Accepted Answer

(Smaller) numbers that multiply to the “Base Number” Factors of 12: 1, 2, 3, 4, 6, 12

Question 6

Multiples Definition What are the multiples of 12?

Accepted Answer

Bigger Numbers that the “Base Number” can multiply to. Multiples of 12: 12, 24, 36, 48…

Question 7

Least Common Multiple Definition

Accepted Answer

The lowest number all terms can multiply up into (Also used to find common denominator)

Question 8

f(g(x)) What are the two steps to solving these equations?

Accepted Answer

Figure out g(x) value Plug in g(x) value to f(x) function

Question 9

F.O.I.L.

Accepted Answer

An acronym for how to multiple two factors. Multiply FIRST terms, OUTSIDE terms, INSIDE terms, and LAST terms

Question 10

The Factor → X-Intercept Relationship What does the factor (x - 5) tell you?

Accepted Answer

When you have a factor of an equation [ like (x - 5) ], you can set that factor equal to zero & solve for x to find x-intercepts Ex: factor of (x - 5) means x-intercept at (5,0)

Question 11

The X-Intercept → Factor Relationship What does the x-intercept (3,0) tell you?

Accepted Answer

When you have an x-intercept of an equation, Then ( x - [the x intercept] ) is a factor. Ex: x-intercept at (3,0) means factor of (x - 3)

Question 12

Coefficients Definition

Accepted Answer

A quantity placed before & multiplying the variable in algebraic expressions Ex: 3x, 4yz

Question 13

Exponents Definition How would you write out (2y)^3

Accepted Answer

A quantity representing the power to which a number or expression is raised. The value of the exponent is how many times a number is multiplied by itself Ex: (2y)^3 = 2y × 2y × 2y

Question 14

Multiplying & Dividing Exponents

Accepted Answer

Multiplying Like Terms: ADD Exponents Dividing Like Terms: SUBTRACT Exponents

Question 15

Percent Definition

Accepted Answer

“Per hundred”

Question 16

“Percent of” How would you write "40% of x" in an equation?

Accepted Answer

Multiply the percentage (as a decimal) to what’s after the “of” Ex: “40% of x” means .40x

Question 17

Increasing by a Percentage What would you multiply a number by for it to go up by 20%?

Accepted Answer

If increasing by a percentage, add it to 1.00 and multiply Ex: “up by 20%” means multiply by 1.20

Question 18

Decreasing by a Percentage What would you multiply a number by for it to go down by 20%?

Accepted Answer

If decreasing by a percentage, subtract it from 1.00 and multiply. Ex: “down by 20%” means multiply by 0.80

Question 19

Solving Absolute Value Equations

Accepted Answer

Create TWO equations. One POSITIVE version of absolute value term(s) One NEGATIVE version of absolute value term(s)

Question 20

Median

Accepted Answer

The middle number in a data set (When in order of least to greatest)

Question 21

Mode

Accepted Answer

The most frequently occurring number in a data set.

Question 22

Probability Key Word: “Or” What do you do to the two probabilities?

Accepted Answer

If asked what the probability that something OR something else happens, ADD the two probabilities.

Question 23

Probability Key Word: “And” What do you do to the two probabilities?

Accepted Answer

If asked what the probability is that something happens AND then something else happens, MULTIPLY the two probabilities.

Question 24

“With Replacement” How does this affect your probability fractions?

Accepted Answer

If asked to do probability, WITH replacement: total number (denominator) is unchanged

Question 25

“Without Replacement” How does this affect your probability fractions?

Accepted Answer

If asked to do probability, WITHOUT replacement: reduce the total number (denominator) by 1 after each selection

Question 26

Proportions How do you solve proportions?

Accepted Answer

Setting two ratios equal to each other & cross multiplying. Ensure Units of Both Numerators Match & Units of Both Denominators Also Match

Question 27

Imaginary Numbers (𝑖) Definition

Accepted Answer

A number that takes the place of √-1 Is not considered a real number.

Question 28

Rationalizing The Denominator What do you do when you have an "𝑖" in the denominator?

Accepted Answer

Random Rule: You’re not supposed to have an “i” in the denominator Solution: Multiply top & bottom by the “conjugate” of denominator (same numbers, switch +/- Sign) Ex: if denominator is (3 + 2𝑖), then multiply the top and bottom by (3 - 2𝑖)... and when you solve the "𝑖" will disappear from the denominator.

Question 29

Complex Plane It's like an x/y coordinate plane, but instead the axes represent...

Accepted Answer

Similar to a normal x/y coordinate plane, but with… a “real” axis instead of “x” axis An “imaginary” axis instead of “y” axis

Question 30

Finding the (Big Number) Term Ex: Find the 88th term of 0.1͞2͞3͞5͞

Accepted Answer

When asked to find a (big number) term of a sequence, Use long division of the desired term number by the number of terms in the core repeating sequence, find remainder, and count that far into the core sequence. (If remainder is equal to zero, then choose the last number in the core sequence.) Since 88 ÷ 4 has a remainder of zero, the 88th term would be 5.

Question 31

Reflection Where do you put the negative sign for an x-axis or y-axis reflection?

Accepted Answer

f(-x) = y-axis reflection -f(x) = x-axis reflection

Question 32

Perimeter Definition

Accepted Answer

The total length of all sides of a shape added together.

Question 33

Area of a Circle Formula

Accepted Answer

A = 𝜋r2

Question 34

Circumference of a Circle Formula

Accepted Answer

C = 2𝜋r

Question 35

Congruent Triangles Definition

Accepted Answer

Same sides. Same angles. Exact same triangle.

Question 36

How to Factor: f(x) = ax2 ± bx ± c

Accepted Answer

a. If a ≠ 1, the problem likely requires the Quadratic Formula b. If a = 1, factor numbers must add to this c. If a = 1, factor numbers must multiply to this Find all factor pairs of c. Select the set that adds to b.

Question 37

Percent Change (Increase/Decrease From Original) Formula

Accepted Answer

(Change/Original) x 100

ACT Math Flashcards

Memorize the key concepts and formulas on the ACT Math section.

Brainscape's Knowledge GenomeTM

ACT Math Flashcards

Memorize the key concepts and formulas on the ACT Math section.

Brainscape's Knowledge Genome^TM