Solving Word Problems with Systems of Equations

Lisa and Tammy are selling items at the craft show.  Which might be a reasonable solution from the graph showing the number of items sold when they both have earned the same amount?

• (1, 12)
• (3, 19)
• (5, 25)
• (0, 10)

At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?

• t + n = 54

  t = 3n + 8

• t + n = 54

  n = 3t + 8

• t + n = 54

  t = 3n - 8

• t + n = 8

  t = 3n + 54

A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?

• 20 Multiple Choice

• 10 Multiple CHoice

• 15 Multiple Choice

• 5 multiple choice

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all.  Upon completing the job he counted out the coins and it came to $6.60.  How many nickels and dimes did Dennis earn? 

• 40 nickels, 40 dimes
• 52 nickels, 28 dimes
• 28 nickels, 52 dimes
• 30 nickels, 50 dimes

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. Solve the system of equations.

• adult ticket: 12

  child ticket: 9

• adult ticket: 10

  child ticket: 11

• adult ticket: 11

  child ticket: 10

• adult ticket: 9

  child ticket 12

There are horses and chickens in a pasture. If there are a total of 28 animals and 80 legs, how many chickens and horses are there?

• 10 horses, 18 chickens

• 16 horses, 12 chickens

• 12 horses, 16 chickens

• 18 horses, 10 chickens

There were 100 pizzas sold at Romeo's Pizzeria on Tuesday. A large pizza costs $16 and a small pizza costs $11. If $1550 worth of pizzas were sold in all, how many small pizzas were sold?

• 10

• 20

• 15

• 25

Wendi is 6 years older than Zaviel. The sum of their ages is 30. Which of these systems of equations can be used to find Wendi's age (w) and Zaviel's age (z)?

• w = 6z

  w + z = 30

• w = z + 6

  w + z = 30

• w = 6z

  wz = 30

• w = x + 6

  wz = 30

Lucia mixed 5 pounds of cashews and almonds. Cashews cost $8 per pound and almonds cost $6 per pound. The total cost of Lucia's mixture was $33. How much of the mixture was almonds?

• 1.5 lbs

• 2.0 lbs

• 3.0 lbs

• 3.5 lbs

The sum of two numbers is 80. Their difference is 38. The product of the two numbers is ________________________.

• between 1000 and 1100

• between 1100 and 1200

• between 1200 and 1300

• between 1300 and 1400