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Linear Functions (Algebra 1)

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Section 1

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variable

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Algebra Math

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Date created

Mar 14, 2020

Cards (21)

Section 1

(21 cards)

variable

Front

A letter or symbol that represents a number.

Back

equation

Front

A mathematical sentence that contains an equal sign.

Back

1 solution (to a system)

Front

The point (input, output) where the equations intersect. This is the input that would yield the same output in both equations.

Back

y-intercept

Front

The value of the output when the input is zero (0, y). The point where a graph crosses the y-axis.

Back

independent variable

Front

The variable we can change.

Back

parallel lines

Front

In a plane, two lines that never intersect. Parallel lines have the same slope.

Back

slope-intercept form

Front

Form for a linear equation: y = mx + b

Back

Infinite solutions (to a system)

Front

If you have two equivalent lines (the same line), they will have infinite points of intersection. This means that ANY input would yield the same output for both equations.

Back

undefined

Front

No solution. Division by zero = undefined. The slope of a vertical line is undefined.

Back

coefficient

Front

A number multiplied by a variable in an algebraic expression or equation.

Back

system of equations

Front

A set of two or more equations using the same variables.

Back

slope

Front

A ratio comparing the change in output over the change in input of a line. The steepness of a line.

Back

linear equation

Front

An equation in two variables whose graph in a coordinate plane is a straight line.

Back

x-intercept

Front

The value of the input when the output is zero (x, 0). The point where a graph crosses the x-axis. Also called roots, zeros or solutions.

Back

dependent variable

Front

The outcome; the variable that depends on the input we selected.

Back

perpendicular lines

Front

Two lines that intersect to form a 90 degree angle. The slopes of perpendicular lines are negative reciprocals.

Back

No solutions (to a system)

Front

If you have two parallel lines, they will never intersect. This means that there is NO input that would yield the same output for both equations.

Back

Types of Slope

Front

Back

expression

Front

A mathematical sentence without an equal sign.

Back

standard form

Front

Form for a linear equation: Ax + By = C

Back

constant

Front

A value that does not change.

Back