Topic 4 Review

Front

What is the inequality that represents a line with a slope of -3/4 and a y-intercept of 3, where y is greater than or equal to the line?

Back

y ≥ -3/4 x + 3

Front

If Cullin needs to save at least $100 and works 2 jobs earning $8/hour and $25/hour, what is the inequality representing his earnings?

Back

8x + 25y ≥ 100, x + y ≤ 14

Front

What inequality represents a graph where y is greater than -2?

Back

y > -2

Front

Which point is not a solution to the system of inequalities: (0,-1), (0,3), (4,0), (6,-2)?

Back

(0,-1)

Front

Use the elimination method to solve the system: -4x - 2y = -12 and 4x + 8y = -24. What is the solution?

Back

(6,-6)

Front

What does the slope of a line represent in a linear inequality?

Back

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

Front

Define a system of inequalities.

Back

A set of two or more inequalities with the same variables.

Front

What is the graphical representation of an inequality?

Back

It shows the region of solutions that satisfy the inequality.

Front

How do you determine if a point is a solution to a system of inequalities?

Back

Substitute the point into each inequality; if it satisfies all, it is a solution.

Front

What is the significance of the y-intercept in a linear equation?

Back

It is the point where the line crosses the y-axis (x=0).