12 terms
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coefficient
A number that is multiplied by a variable in an equation or expression.
dependent variable
One of the two variables in a relationship. Its value depends upon or is determined by the other variable.
equivalent expressions
Expressions that represent the same quantity. For example, 2+5 and 3+4.
inequality
A statement that two quantities are not equal. The symbols >, <, ≥, and ≤ are used.
independent variable
One of the two variables in a relationship. Its value determines the value of the other variable.
linear relationships
A relationship in which there is a constant rate of change between two variables. ______________________ can be represented by a straight-line graph and by an equation of the form y=mx+b. In the equation, m is the slope of the line, and b is the y-intercept.
point of intersection
The point where two lines cross. If the lines are represented on a coordinate grid, the coordinates for this point can be read from the graph.
properties of equality
For all real numbers a, b, and c:
Addition: If a = b, then a + c = b + c. Subtraction: If a = b, then a - c = b - c. Multiplication: If a = b, then a • c = b • c.
Division: If a = b and c ≠ 0, then ac = bc .
Addition: If a = b, then a + c = b + c. Subtraction: If a = b, then a - c = b - c. Multiplication: If a = b, then a • c = b • c.
Division: If a = b and c ≠ 0, then ac = bc .
slope
The number that expresses the steepness of a line. The ______________________ is the ratio of the vertical change to the horizontal change between any two points on the line. Sometimes this ratio is referred to as the rise over the run.
solution of an equation
The value or values of the variables that make an equation true.
x-intercept
The point where a graph crosses the x-axis.
y-intercept
The point where the graph crosses the y-axis. In a linear equation of the form y=mx+b, the ______________________ is the constant, b.