32 terms

coefficient

A number used to multiply a variable. Example: 6z means 6 times z, and "z" is a variable, so 6 is a _____________________________.

cube root

a special value that, when used in a multiplication three times, gives that number. Example: 3 × 3 × 3 = 27, so the ____________ of 27 is 3.

distributive property

states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. It says that if a, b, and c are real numbers, then: a x (b + c) = (a x b) + (a x c)

horizontal line

line is one which runs from left to right across the page

intersecting lines

lines that cross at exactly one point.

laws of exponents

The exponent of a number says how many times to use the number in a multiplication.

parallel lines

Two lines on a plane that never meet. They are always the same distance apart.

like terms

Terms whose variables (and their exponents such as the 2 in x squared) are the same. Example: 7x and 2x are ____________ because the variables are both "x"

perfect cube

the result of multiplying a number three times by itself

perfect square

A number made by squaring a whole number. 16 is a ______________________ because4 squared = 16; 25 is also a _________________ because 5 squared = 25, etc

power

says how many times to use the number in a multiplication.

It is written as a small number to the right and above the base number.

It is written as a small number to the right and above the base number.

proportional relationships

When two quantities always have the same size in relation to each other. In other words they have the same ratio.

Example: A rope's length and weight are in proportion. When 20m of rope weighs 1kg, then: • 40m of that rope weighs 2kg; • 200m of that rope weighs 10kg

Example: A rope's length and weight are in proportion. When 20m of rope weighs 1kg, then: • 40m of that rope weighs 2kg; • 200m of that rope weighs 10kg

root

Where a function equals zero. In this example, −2 and 2 are the _______ of the function x squared− 4

slope

How steep a straight line is. Also called "gradient". Ratio of the rise (vertical change) to the run (horizontal change) between any two points on a line.

square root

a value that, when multiplied by itself, gives the number.

scientific notation

Where a number is written in two parts: First: just the digits (with the decimal point placed after the first digit), followed by: ×10 to a power that will put the decimal point back where it should be.

standard form of number

A general term meaning "written down in the way most commonly accepted" It depends on the subject: For numbers it means "Expanded Form" (such as 125 = 100+20+5) For equations it means the form: (some expression) = 0 For a quadratic equation it means the form: ax2 + bx + c

substitution

In Algebra , this means putting numbers where the letters are. Example: What is x + x/2 when x=5? Put "5" where "x" is: 5 + 5/2 = 5 + 2.5 = 7.5

system of linear equations similar

Two or more equations working together.

unit rate

a rate that has a denominator of 1 unit

vertical

In an up-down direction or position. Upright. Example: trees grow in a ___________ direction.

Integers

a whole number (not a fractional number) that can be positive, negative, or zero. Examples are: -5, 1, 5, 8, 97, and 3,043.

Irrational numbers

a real number that cannot be expressed as a ratio of integers, i.e. as a fraction. Therefore, when written as decimal numbers, these do not terminate, nor do they repeat

Natural numbers

The whole numbers from 1 upwards: 1, 2, 3, and so on ...

Or from 0 upwards in some fields of mathematics: 0, 1, 2, 3 and so on ...No negative numbers and no fractions

Or from 0 upwards in some fields of mathematics: 0, 1, 2, 3 and so on ...No negative numbers and no fractions

radical

An expression that has a square root, cube root, etc.The symbol is √

radicand

The value inside the radical symbol. The value you want to take the root of. In √x, "x" is the ________________.

Real Number

The type of number we normally use, such as 1, 15.82, −0.1, 3/4, etc. Positive or negative, large or small, whole numbers or decimal numbers. They are called this because they are not Imaginary Numbers.

Rational number

A number that can be made by dividing two integers. (e.g a/b) The word comes from "ratio". Examples: • 1/2 (1 divided by 2, or the ratio of 1 to 2) •0.75 (3/4) • 1 (1/1) • 2(2/1) • 2.12 (212/100) • −6.6 (−66/10)

repeating decimal

A decimal number that has digits that repeat forever. e.g. 1/3 = 0.333... (the 3 repeats forever). AKA recurring decimal

terminating decimal

A decimal number that has digits that do not go on forever.

Examples: 0.25 (it has two decimal digits); 3.0375 (it has four decimal digits)

Examples: 0.25 (it has two decimal digits); 3.0375 (it has four decimal digits)

truncate

A method of approximating a decimal number by dropping all decimal places past a certain point without rounding. For example, 3.14159265... can be _______________ to 3.1415.

Whole numbers

The numbers {0, 1, 2, 3, ...} etc. There is no fractional or decimal part and no negatives.