Complete the chart below, using your textbook and your ... · Complete the chart below, using your...

Math8 Test Review Mrs. Hallahan

Name: __________________________________________________ Class 8-___ Date: ________

Test Review Pages 1~6 Due Wednesday 02/05; Pages 7~12 Due Thursday 02/06;

Test Friday 02/07/20 Linear Equations

o All of Chapter 2 and Chapter 3

o Recall we already had a full test on Chapters 2 and 3

o You must still know everything we learned about linear equations and linear inequalities in order to

understand linear systems.

Systems of Linear Equations

o Lesson 4.1 Solving Linear Systems by Graphing

o Lesson 4.4 Special Types of Linear Systems ; Consistent, Inconsistent, Dependent

Linear Inequalities and Systems of Linear Inequalities

o Lesson 3.5 Graphing Linear Inequalities in Two Variables

o Lesson 4.5 Solving Systems of Linear Inequalities by Graphing

Complete the chart below, using your textbook and your notes to define/describe each term below

Linear Equation:

Linear Inequality in two variables:

How many solutions are there to a Linear

Equation:

Describe the Solutions to a Linear Equation:

Solution to a Linear Inequality:

Linear System of Equations:

System of Linear Inequalities:

Solution to a Linear System of Equations:

Solution to a System of Linear Inequalities:

Consistent Linear System:

When graphing a linear inequality how do you

determine the following….

Inconsistent Linear System:

…if the boundary line is solid or dashed?

Dependent Linear System: …if you shade up or down when it is in mx+b

form?


Question #1:

The boundary line of y >-x -3 is graphed

above. Complete the graph by shading

properly to represent the inequality.

Is the point (-2, -1) a solution? Explain.

Question #2:

The boundary line of y< (1/2) is graphed



Is the point (2, 2) a solution? Explain

Question #3:

The boundary line of y < -1 is graphed



State two points that are solutions:

Question #4:

The boundary line of x>0 is graphed above.

Complete the graph by shading properly to

represent the inequality.

State two points that are not solutions:


NOTE: *** Before you graph a Linear Equation, a Linear Inequality, or a Linear

System, make sure to put in mx + b form if it is not already.

Question #5: Question #6:

Graph the given linear inequality Graph the given linear inequality

4y < 2x – 8 y < 3


Graph the given linear inequality Graph the given linear inequality

x < -4 6x + 18y < -36


Question#9:

Graph the system of Linear Inequalities: y < x – 2

Answer the questions that follow. y > 2x – 4

A) Is the point (2, 0) a solution to the system? Explain.

B) Is the point (0, 0) a solution to the system? Explain.

C) Is the point (-1, -4) a solution to the system? Explain.



Graph the given linear system Graph the given linear system

y = -2x - 5 y = (1/3)x -4

2x + Y = 1 -x + 3y = -12

What type of system is this? What type of system is this?

Consistent Consistent

Inconsistent Inconsistent

Dependent Dependent

Explain: Explain:

What is the solution to this system? What is the solution to this system?

Include a check. Include a check.


Question#12:

Graph the given linear system

y + x = 0

3y + 6x = -9

What type of system is this? What is the solution to this system?

Consistent Include a check.

Inconsistent

Dependent

Explain:


Question#13 Connor has $25,000 in a bank account. Every month he spends $1,500. He does not add money

to the account.

Part A: Write a linear model that shows how much money will be in the account after x months.

Use Let statements.

Part B: How much money will Conner have in his account after 7 months?

Part C: How many months until Connor has no money left in his account?

Question#14: A cell phone plan costs $30 per month for unlimited calling, plus $0.15 per text message.

Part A: Write a linear model that represents the monthly cost of this cell phone plan, if the

user texts x messages. Use Let Statements.

Part B: If you send 200 text messages, how much would you pay according to this cell phone

plan?

Part C: How many text messages do you send if your monthly bill costs $52.50?


Question #15:

Each CD in a store costs $10, and each book costs $6. If you want to spend exactly $32, write

an equation in standard form modeling this situation. Let c represent the number of CDs you

buy, and b represent the number of books you buy.

If you buy 2 books, how many CDs do you buy?

Question #16:

Which is an equivalent equation to the given linear equation?

Question #17:

Which coordinate point is a solution to the given linear system? What type of linear system is

this, Consistent, Inconsistent or Dependent?


Question #18:

Solve each given System of Linear Equations, and then determine if each System is, Consistent,

Inconsistent or Dependent?

Question #19:

The school that Stefan goes to is selling tickets to a choral performance. On the first

day of ticket sales the school sold 3 adult tickets and 1 child ticket for a total of $38.

The school took in $52 on the second day by selling 3 adult tickets and 2 child tickets.

Write a system of linear equations to model the given situation. Use Let statements to

indicate what your variables stand for in context of this situation (Hint each day of

sales should be modeled by its own equation… 2 days of sales, 2 equations in the

system).


Question #20: Use the graph below to answer all questions that follow:

Make sure to clearly explain each answer:

Part A: Which student left home first?

Part B: How far did each student walk?

Part C: What is the rate at which each student walked?

Part D: How long did it take each student to walk to school?


Question #21:

Which choice represents the graph of the given linear inequality?


Question #22:

Which choice represents the graph of the given system of linear inequalities?

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