2x +7, 3ab2c (NOT an equation) no = sign

The order that all operations on every expression or equation must be done in order to correctly simplify - PEMA - Parentheses, Exponents, Multiplication (division), Addition (Subtraction) from left to right.

any part of an expressions separated by a plus or minus sign, using multiplication, division or exponents only ie x^2 + 2x + 6 has 3 terms, x^2, 2x and 6 (each term is a monomial)

an expression with more than 1 term 2x - 9 x^2 + 7x -10

an expression with 1 term 8x2y 2x 3abc

an expression with 2 terms (3x +1)

an expression with 3 terms x^2 +9x - 99

positive or negative whole number, no fractions or decimals 1,2,3,4,... as well as -4, -3, -2, -1

comes from ratio, anything that can be written as a ratio (fraction), therefore it includes all positive and negative whole numbers, decimals, and fractions. Also, rational means “normal”, all regular numbers. It does NOT include irrational numbers 2/3, -17, 0, 104, 6.45

CRAZY numbers. They need symbols to write them and cannot be written exactly without a symbol such as a square root sign (√) or pi (𝜋). They are decimals that never terminate or repeat.

Commutative Property of Addition and Multiplication

switches the order of the terms

Associative Property of Addition and Multiplication

changes what is in a group, or parentheses.

Distributive property of Multiplication over addition

using two operations, we multiply or divide over the parentheses, and it always has parentheses. (L3)

Equivalent expressions

“look” different but are just algebraic manipulations of each other, using the properties of REAL numbers.

“undistribute” - means divide by!

Greatest Common Factor (GCF)

the largest number that all terms can be divided by.

Have the exact same variables and exponents. (but can have different coefficients) ex. 3x and 2x are like terms, but not 3x and 2x2.

a superscript, small number above a constant or variable, indicating repeated multiplication. 53 = 5*5*5 or 3x2 = 3 * x*x

in order of greatest exponent to least exponent.

in a row, like Monday, Tuesday, Wednesday or X, Y, Z or June, July, August 8, 9, 10 Just add one each time.

a value for a variable that makes the equation true

find a solution to - usually by using inverse operations

a method to solve an equation for 1 variable by “unwrapping” or undoing or working backwards to reveal that variable

Properties of EQUALITY

addition and multiplication property of EQUALITY - performing the same operations to BOTH sides of the equation to maintain its equality.

greater than > and ≥ and less than signs. 0 x is greater than 0 (aka positive) x 0 y is greater than 0 (aka positive) y

lowest point, y value of lowest point

highest point, y value of highest point, vertex

Where the graph crosses the y axis

x values, or numbers you should plug in for x, or where to look on your calculator table

interval where a graph is going up (rising)

interval where a graph is going down (falling)

interval where a graph is above the x axis

interval where a graph is below the x axis

where it hits the x axis, the ground, ground zero. This happens only when y = 0

point where graph turns, vertex

x values, where the graph hits the x axis

Average Rate of Change

slope, change in y over change in x, for any interval of the graph, or between any two given points.

Mathematics Concepts and Definitions Flashcards

Student preview

57 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Product

Back

multiply

2.

FLASHCARD QUESTION

Front

Sum

Back

add

3.

FLASHCARD QUESTION

Front

Difference

Back

subtract

4.

FLASHCARD QUESTION

Front

Quotient

Back

divide

5.

FLASHCARD QUESTION

Front

Variable

Back

letter x or y or p...

6.

FLASHCARD QUESTION

Front

Constant

Back

a number

like 2x +7, 7 is the constant

7.

FLASHCARD QUESTION

Front

Coefficient

Back

the number in front of a variable (letter) indicating how many of the variable 4x - 6,

4 is the coefficient of x

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