IM Unit 2 Mid Review

Front

What system of equations represents the situation where Alexandra can give 3 haircuts and 2 hair dyes in 315 minutes and 2 haircuts and 4 hair dyes in 450 minutes?

Back

3x + 2y = 315 and 2x + 4y = 450

Front

What is the x-intercept of the equation 3x + 8y = 24?

Back

(8, 0)

Front

How can I find out the hours of labor required if the plumber charged $98 for parts plus $45 per hour for labor, totaling $458?

Back

98 + 45x = 458

Front

Which axis runs horizontally in a coordinate plane?

Back

x

Front

Is the ordered pair (-3, -7) a solution to the system y = 4x + 5 and y = x – 4?

Back

YES

Front

What does the term 'x-intercept' mean in a graph?

Back

The x-intercept is the point where the graph crosses the x-axis, meaning y=0.

Front

What is the definition of a system of equations?

Back

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

Front

How do you determine if an ordered pair is a solution to a system of equations?

Back

Substitute the ordered pair into each equation; if it satisfies all equations, it is a solution.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for two lines to be parallel in a graph?

Back

Two lines are parallel if they have the same slope and will never intersect.