Alg 1: Unit 6 Review - Systems

Organize these options into the right categories

**rewrite in slope-intercept form**

Reminder:

One Solution - Different Slopes

No Solution - Same slope, different y-intercept

Infinite Solution - same equation

Groups:

(a) ONE SOLUTION

,

(b) NO SOLUTION

,

(c) INIFINITE SOLUTIONS

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Which graph best represents this system of equations and its solution?

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A company advertises on two website. Each website charges a different amount based on the number of clicks on the advertisement. The table shows the number of clicks on each website and the total cost of each of two days. What is the cost per click on Website 1?

Mathematical Equivalence

OFF

Answer explanation

A customer paid a total of $34.00 for 32 cupcakes. Some of the cupcakes were strawberry and the rest were vanilla.

• Each strawberry cupcake costs $0.80.

• Each vanilla cupcake costs $1.50.

How many strawberry and vanilla cupcakes did the customer purchase?

Choose the correct answer from each drop-down menu to complete the statement.

The customer purchased ​ (a)   strawberry cupcakes and ​ (b)   vanilla cupcakes.

• 20
• 12
• 5
• 35

Answer explanation

Which graph best represents the solution set for this system of inequalities?

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Which section of the graph represents the solution set of the system of inequalities below?

• A

• B

• C

• D

The two types of tickets sold at a baseball game are standard tickets and discounted tickets. The price of a discounted ticket was 80% of the price of a standard ticket.

 

• There were 153 standard tickets sold at the baseball game.

• There were 47 discounted tickets sold at the baseball game.

• The total amount of ticket sales from the standard and discounted tickets was $2,649.34.

 

The line graphed on the grid represents the first equation in a system of linear equations for this situation.

If the second equation in the system is 

y=0.80x

, what is the best estimate of the price of a discounted ticket?

Mathematical Equivalence

OFF

Answer explanation

Carter High School had 225 people attend their band concert. Student tickets cost $5 each, and adult tickets cost $9 each. If Carter High School raised $1,517 in ticket sales, which system of equations could be used to find the number of student tickets sold, x, and the number of adult tickets sold, y?
Select TWO correct answers.

The tables of ordered pairs represent some points on the graphs of two different lines.

Which system of equations represents the graph of these two lines?

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