Chapter 9 Review (College Algebra)

Chapter 9 Review

College Algebra

​Sections in Chapter 9

• 9.1 Systems of Equations (general)

• 9.2 Systems in 2 Variables

• 9.3 Systems of Inequalities

• 9.5 Systems in 3 Variables

Multiple Choice

Solve the system. One solution is (0,0). What is the other?

$$2y=x^2$$

$$y=4x^3$$

• $$\left(\frac{1}{3},\ -1\right)$$

• $$\left(\frac{1}{8},\frac{1}{128}\right)$$

• $$\left(3,\ \frac{9}{2}\right)$$

• $$\left(\frac{1}{2},\ \frac{1}{2}\right)$$

Multiple Select

Solve the system. Select the other x and y given that one solution is (2,4).

$$-x+y=2$$

$$x^2+y^2=20$$

• x = -4

• x = 3

• y = 5

• y = -2

• y = 2

Fill in the Blank

How many solutions does the system shown have? If none, type "ns".

Fill in the Blank

Solve the following system.

$$3p-q=7$$

$$-12p+4q=3$$

Answer format: "(x,y)", "ns", or "ims"

Multiple Choice

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. How many of each type of ticket were sold?

• 10 adults, 11 children

• 12 adults , 9 children

• 11 adults, 10 children

• 9 adults, 12 children

Fill in the Blank

Solve the following system.

$$5x-6y=4$$

$$3x+2y=8$$

Answer format: "(x,y)", "ns", or "ims"

Multiple Choice

Select an inequality that matches the image:

• $$3x+y\le3$$

• $$-3x+y<3$$

• $$3x-y>3$$

• $$x+3y<3$$

Multiple Select

Which of the following is a solution to the system of inequalities? (select any)

• (1, -5)

• (2, 3)

• (-2, 3)

• (-1, 1)

• (0, 2)

Multiple Choice

Identify the graph represented by the following system of inequalities.

$$2x-y>4$$

$$4x+2y<6$$

Multiple Choice

How many solutions does the following system of equations have?

• No Solution

• Infinitely Many Solutions

• One Solution

• Cannot Be Determined

Multiple Choice

How many solutions does the following system of equations have?

• No Solution

• Infinitely Many Solutions

• One Solution

• Cannot Be Determined

Multiple Choice

How many solutions does the following system of equations have?

• No Solution

• Infinitely Many Solutions

• One Solution

• Cannot Be Determined

Multiple Choice

Solve the system.

• (2, -2, 3)

• (2, 1, 4)

• (-2, 2, -3)

• No Solution

Multiple Choice

3) Solve the system of linear equations.

• (3, 1, -5)

• (-3, 1, -1)

• no solution

• infinitely many solutions

​That's it!

• You can replay this game in the practice version as much as you'd like!

• If parts of it didn't go well, do something about it!

• These questions are reasonable expectations for the test!