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Review for System of Equations Test No Calculator

Write the system of equations and solve the following word problem.

  1. The perimeter of a rectangle is 16 feet. Its length is four feet more than its width. Find the dimensions of the rectangle.

Write the system of equations needed to solve the following problems. Do not solve. Make sure to identify your variables.

  1. Mr. Douglas has 200 acres of farmland for tomatoes, peas, and corn. The number of acres for corn plants was 10 more than the number of acres for pea plants. It costs $95 per acre to produce tomatoes, $110 to produce peas, and $150 to produce corn. Mr. Douglas has $43,200 budgeted for producing these crops. If he uses all of his land and all of the budgeted money, how many acres of each crop should be planted?
  1. Three bouquets of flowers are ordered at a florist. Three roses, 2 carnations, and 1 tulip cost $14, 6 roses, 2 carnations, and 6 tulips cost $38, and 1 rose,
    12 carnations, and 1 tulip cost $18. How much does each item cost?

Write the system of equations needed to solve the following problems. Do not solve. Make sure to identify your variables.

  1. A nursery has two hundred 7-gallon palm trees to sell, consisting of Coconut Palm trees, Saw Palmetto Palm trees, and Christmas Palm trees. Coconut Palm trees sell for $75 each, Saw Palmetto Palm trees sell for $45 each, and Christmas Palm trees sell for $30 each. The nursery has three times as many Saw Palmetto Palm trees as Christmas Palm trees. A developer purchases all of the nursery’s palm trees for a total price of $12,300. How many of each type of palm tree does the developer purchase?
  1. A movie theater advertises that a family of two adults, one student, and one child between the ages of 3 and 8 can attend a movie for $15. An adult ticket costs as much as the combined cost of a student ticket and a child ticket. You purchase 1 adult ticket, 4 student tickets, and 2 child tickets for $23. What is the price per ticket for each type of ticket?
  1. At a pizza shop, two small pizzas, a liter of soda, and a salad cost $14; one small pizza, a liter of soda, and three salads cost $15; and three small pizzas and a liter of soda cost $16. What is the cost of one small pizza? of one liter of soda? of one salad?

Calculate the following operations with matrices.

7. +

8.

9.

  1. Solve for x and y.

Multiply the following matrices.

11.

12.

13.

14.

15.