Unit 7 Systems Review
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by David Rubert
| 12 Questions 1
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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
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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)
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?