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Unit 7 Systems Review

Last updated almost 7 years ago

12 questions

1

1

1

1

1

3

3

3

4

2

2

5

Question 1

1.

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

True

False

Question 2

2.

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

Question 3

3.

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

Question 4

4.

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

Question 5

5.

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 

Question 6

6.

Solve the system of linear equations using the elimination method.

Question 7

7.

Solve the system of linear equations using the substitution method.

Question 8

8.

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.

Question 9

9.

Question 10

10.

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

Question 11

11.

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

Question 12

12.

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?