Hotmath Practice Problems

Title:

Hotmath Algebra 2

Author:

Hotmath Team

Free

Chapter:Quadratic EquationsSection:Solving Quadratic Inequalities Graphically

Problem: 1

Check if (–3, 6) is a solution of y 4x² – x – 3.

Problem: 3

Check if (6, –4) is a solution of y –(1/3)x² + 3x – 9.

Problem: 5

Match the inequality with its graph shown.

y x² – 5x + 1

Problem: 7

Graph the inequality.

y –2x² + 4x – 2

Problem: 9

Graph the inequality.

y x² – x + 12

Problem: 11

Graph the inequality:

y –x² + 6

Problem: 13

Graph the inequality:

y x² + 6x + 9

Problem: 15

Graph the inequality:

y 3x² – 3x – 7

Problem: 17

Graph the inequality:

y –4x² + 6x – 5

Problem: 19

Graph the inequality:

y x² – 25

Problem: 21

Graph the inequality:

y –x² + 7x + 9

Problem: 23

Solve the inequality: x² –2x –15 0

Problem: 25

Solve the inequality: 4x² + 23x –6 0

Problem: 27

Solve the inequality:

3g² –4g –4 0

Problem: 29

An arch gateway is shaped like the graph of the equation below. Write the equation in the vertex form y = a(x – h)² + k. Then find the height of the arch if the bases are 650 feet apart.