CPM Chapter 4 Review

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables. The solution is the set of all points that satisfy all inequalities in the system.

Front

How do you graph a system of inequalities?

Back

To graph a system of inequalities, first graph each inequality as if it were an equation. Then, shade the region that satisfies the inequality. The solution set is where the shaded regions overlap.

Front

What does the inequality y > 2x - 4 represent?

Back

It represents all the points above the line y = 2x - 4, not including the line itself.

Front

What does the inequality y < 2 represent?

Back

It represents all the points below the horizontal line y = 2, not including the line itself.

Front

How do you solve the inequality x^2 - 2x - 15 < 0?

Back

Factor the quadratic to (x - 5)(x + 3) < 0. The solution is the interval (-3, 5).

Front

What is the process to divide fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction.

Front

What is the solution to the equation 2(y - 1)^2 + 8 = 80?

Back

The solutions are y = 7 and y = -5.

Front

What does the inequality y ≤ 3x and y ≤ -2x + 4 represent graphically?

Back

It represents the region below or on the lines y = 3x and y = -2x + 4.

Front

What is the significance of the solution set in a system of inequalities?

Back

The solution set represents all the points that satisfy all inequalities in the system.

Front

How do you determine the solution set for y > 3x and y < -2x + 4?

Back

Graph both inequalities and find the region where y is greater than 3x and less than -2x + 4.