In an experiment, the ____________________ is the variable you change. It may also be thought of as the variable that causes a change in the dependent variable. Values of the ____________________ are represented by values on the x-axis.

In an experiment, you observe changes in the ____________________. Also, its value “depends” on the value of the variable graphed on the x-axis. Values of the ____________________ are represented by values on the y-axis.

A plane that is divided into four regions by a horizontal and a vertical number line. The locations of points in the __________ are given by ordered pairs.

One of the intersecting number lines that divide the coordinate plane into quadrants.

The horizontal line that divides the coordinate plane. Values of the independent variable are represented by values on the __________.

The vertical line that divides the coordinate plane. Values of the dependent variable are represented by values on the __________.

The point where the x- and y-axes intersect (cross). The coordinates of the __________ are (0, 0).

One of the four regions of the coordinate plane formed by the x- and y-axes.

One pairing of values in a mathematical relation. A/an ____________________ represents a position on the coordinate plane. Examples of ____________________s: (–5, 6), (x, y)

The distance represented by each division on a number line. For example, if each division on the x-axis represents 5 feet, then the __________ is 1 division = 5 ft.

A quantity is __________ if there are “holes” between succeeding values. (“Succeeding” means to “come after.”) For example, if the quantity is “number of customers,” you can have 3 customers or 4 customers, but there is no value of customers between 3 and 4. If either variable is __________, you do not “connect the dots” when graphing.

A quantity is __________ if there are no “holes” between succeeding values. For example, if the quantity is “weight of a patient,” you can have a weight of 128 pounds and a weight of 129 pounds. In fact you can have weights in between 128 and 129. No matter how small the division, this remains true. You can have a weight of 128.1 pounds and 128.2 pounds, and there are still weights in between those. If both variables are __________, you do “connect the dots” when graphing.

Property that states that the order in which two numbers are added or multiplied does not change their sum or product, respectively: a + b = b + a or ab = ba.

Examples

4 + 3 = 3 + 4

5 x 6 = 6 x 5.

Property that states that the product of a number and the sum or difference of two numbers is equal to the sum or difference or the two products:
x(a + b) = ax + bx. Or x(a – b) = ax – bx.

Examples

2(4 + 5) = 2 × 4 + 2 × 5

7(3 – 8) = 7 × 3 – 7 × 8.

The result of subtracting two numbers.

The result of multiplying numbers together.

Any symbol, usually a letter, that represents a number.

A mathematical sentence built from expressions using one or more equal signs.

Examples:

y = 2x + 7

4x + 5 = 7x – 10

2 + 2 + 2 = 2 + 4 = 6

To substitute numerical values for all variables in an expression and then compute the value of the expression.

Examples:

__________ 12 – m  when m = 8 → 12 – 8 = 4

__________ 2x + 7 when x = 2 →  2 × 2 + 7 = 11.

An action or procedure that produces a new value from one or more input values.

Examples:

2 + 4 is applying the __________ of addition to the values 2 and 4 to produce the new value 6.

2 ÷ 4 is applying the __________ of division to the values 2 and 4 to produce the new value 0.5.

The result of dividing one number by another.

Examples:

The __________ of 12 and 3 is 4.

The __________ of 3 and 12 is 0.25.

How much the dependent variable changes when the independent variable changes by 1 unit.

Example:

If pressure changes by 0.44 psi for every one-foot change in depth, then the __________ is 0.44 psi per foot.

To replace each value of a variable in an expression or equation with another expression.

Examples:

__________ 2 for x in 2x + 7 → 2 × 2 + 7.

__________ 7 for y in 20 – y → 20 – 7.

A relation in which each value of x is paired with only one value of y.

A table of x and y values that represents a relation between two variables (which may be a function) or sequence.

The set of all inputs to a function (that is, all values of the independent variable).

The set of all outputs of a function (that is all values of the dependent variable).

The value of x at the point where a line or graph intersects the x-axis.

The value of y is zero at this point.

The value of y at the point where a line or graph intersects the y-axis.

The value of x is zero at this point.

As a function’s independent variable gets larger, the dependent variable gets larger.

As a function’s independent variable gets larger, the dependent variable gets smaller.

a point that two functions share (or a point at which two functions meet or cross)