Unit 7 Systems Review

by David Rubert

| 12 Questions1

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1

1

Is the point (6,-4) a solution to the system above?

True

False

2

1

You are planning a cookout. A package of hot dog rolls costs $1.50 and a package of hamburger rolls costs $2.00. You can spend a maximum of $15.00 on the rolls and figure you need to have a at least 8 packages of the two types of rolls (combined). The following system of inequalities models the situation.

Can you buy 5 packages of hot dog rolls and 3 packages of hamburger rolls?

True

False

3

1

If there are ‘no solutions’ to a system of linear equations then the graph of that system is_________:

4

1

When solving a system by either elimination or substitution, the solution is represented by ________________:

5

1

When graphing a system of linear inequalities, what does the solution (5,4) represent?

no solution

the coordinate lies in the shaded region

the point of intersection is at (5,4)

just the answer

6

3

Solve the system of linear equations using the elimination method.

7

3

Solve the system of linear equations using the substitution method.

8

3

Tessa and Ori's teacher gave them each a system of linear equations to solve. They each took a few steps that led to the systems shown in below.

9

4

10

2

The sum of two numbers is 28 and their difference is 4. Create a system to determine the two numbers. (equation 1,equation 2)

11

2

Ken bought 2 video games and 1 DVD for a total of $105. Jerome bought 1 video game and 4 DVDs for a total of $80. Write a system of equations that can be used to find the cost, in dollars, of each video game and each DVD at the store. DEFINE YOUR VARIABLES

12

5

A movie theater is offering new low prices for child and adult tickets. The Parr family was able to get an incredible deal. For 2 adult tickets and 3 child tickets, they paid $28.95. The Brady family got the same deal, buying 3 adult tickets and 6 child tickets for $50.91.

A) Write a system of two equations to represent the ticket purchases of each family. DEFINE YOUR VARIABLES.

B) How much does an adult ticket cost?

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