Solving pairs of linear equations in two variables

At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. If a system of equations is written, which would be the correct representation of the 2 variables? (In other words, how should the variables be defined?)

• t: # of tacos

  m: # of glasses of milk

• t: Cost of each taco

  m: Cost of each glass of milk

• t: total cost

  m: # of food items

• t: Cost of each glass of milk

  m: Cost of each taco

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. How many child tickets were sold?

• 11 children tickets

• 9 children tickets

• 10 children tickets

• 12 children tickets

The length (y) of a rectangle is equal to triple the width (x). The perimeter of the rectangle is 86 centimeters. Which system of equations could be used to solve for the length and width of the rectangle?

Choose the correct ordered pair to represent the system of equations.

• (15, 21)

• (17, 19)

• (14, 22)

• (13, 23)

5)

• P + W = 158

  P – W = 112

• P + W = 158

  P + W = 112

• P – W = 158

  P + W = 112

Olivia and Vicky went clothes shopping. Vicky spent $19.40 less than twice what Olivia spent. In total, they spent $272.35. Find the amount each girl spent. Write the smaller amount first.

(a)  

Solve the Problem:

Tommy needs a new suit for the school dance and decides to check prices for two local suit companies.

- Tuxedo Junction charges $150 flat fee, then $50 for every hour that the suit is worn.

- Men’s Warehouse charges $100 flat fee and then $75 for ever hour the suit is worn.

In how many hours will the cost of the suits be the same?

(a)  

Ben is 22 years older than Daniel. Three years ago, Ben was 3 times as old as Daniel.

How old is Daniel now?

Mathematical Equivalence

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Solving System WP

2b.) Write a system of equation for the following word problem:

Bill is the kicker for his high school team. Last season he kicked 38 times and never missed. Each field goal (x) scored 3 points and each point after touchdown (y) scored 1 point for a total of 70 points. How many field goals and how many points did Bill kick last season?

Write the second equation:

Mathematical Equivalence

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Find the value of x.

• 22
• 28
• 23
• 30