Semester 1 Algebra Review

Front

What is the range in a function?

Back

The range refers to the set of all possible y-values (outputs) of a function.

Front

What system of equations represents the situation: Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes, and giving 2 haircuts and 4 hair dyes takes 450 minutes?

Back

3x + 2y = 315 and 2x + 4y = 450, where x is the time for a haircut and y is the time for a hair dye.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the solution to the system of equations: 2x + 3y = 9 and 4x + 6y = 18?

Back

Infinitely Many Solutions.

Front

What is the solution to the system of equations: 2x + 4y = 8 and 2x + 4y = 10?

Back

No Solution.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

How do you find the y-intercept of a linear equation in slope-intercept form?

Back

The y-intercept is the value of y when x = 0, represented as b in the equation y = mx + b.

Front

What is the difference between independent and dependent variables?

Back

Independent variables are the inputs (x-values), while dependent variables are the outputs (y-values) that depend on the independent variables.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.

Front

What does it mean if two lines are parallel?

Back

If two lines are parallel, they have the same slope and will never intersect.