Systems of Equations/Inequalities Test Review Practice

  1. Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75. The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets. What is the price each of one senior citizen ticket and one child ticket?
  1. An exam worth 145 points contains 50 questions. Some of the questions are worth two points and some are worth five points. How many two point questions are on the test? How many five point questions are on the test?
  1. x - 2y = -10

3x - y = 0

  1. x +3y = 2

-x +2y = 3

  1. Five hats and three scarves cost $99. While three hats and five scarves cost $85. Find the cost of one hat.
  1. All 231 students in the French class went on a field trip. Some students rode in vans which hold 7 students each and some students rode in buses which hold 25 students each. How many of each type of vehicle did they use if there were 15 vehicles total?
  1. Alice spent $131 on shoes. Sneakers cost $15 and Fits cost $28. If she bought a total of 7 shoes, then how many of each kind of shoe did she buy?
  1. A man bought 42 stamps, some 13¢ and some 18¢. How many of each kind did he buy if the cost was $6.66?
  1. Since my uncle’s farmyard appears to be overrun with dogs, and chickens, I asked him how many of each he had. He responded that his dogs and chickens had a total of 148 legs and 60 heads. How many dogs and how many chickens does my uncle have?
  1. Sally has 20 coins in her piggy bank, all dimes and quarters. The total amount of money is $3.05. How many of each coin does she have?
  1. Forlunch,JackhadaBigMacandtwosmallfriescontaining 1,000calories.RandyhadthreeBigMacsandtwosmallfries for2080.Howmanycaloriesareineachitem?
  1. Mac’swalletisfullof$5and$10bills.Hehas25billstotaling$230.Howmanyofeachbilldoeshehave?
  1. OnDecember9th,TrevorAriza,oftheHoustonRockets, scored34points.Whatisoddaboutthisisthathescoredall34

pointsonlyon2‐pointersand3‐pointers. He made a total of 15 shots. How many 3‐pointers did he make?

  1. Marcyhasatotalof100dimesandquarters.Ifthetotalvalueofthecoinsis$14.05,howmanyquartersdoesshehave?
  1. Gina bought 5 hot dogs and 3 soft drinks at the ball game for $11.50. Renaldo bought 4 hot dogs and 2 soft drinks for $8.50. How much does a single hot dog and a single drink cost?
  1. Mr. Harris bought 4 hot dogs and 3 burgers for his family from a refreshment stand at the beach and paid $27. Ms. Sanders bought 7 hot dogs and 4 burgers for her family at the same refreshment stand and paid $41. Which system of equations can be solved to determine h, the price of a hotdog, and b, the price of a burger?
  1. x + 2y = 6

3x + 4y = 19

  1. x – 2y = 2

3x + 6y = 33

  1. 9x – 6y = -12

3x + 4y = 16

  1. -2x + 3y = -4

2x – 3y = 22