Unit 2 Test 1 Study Guide

  1. Write an example for each of the following properties:
  2. Commutative Property of Addition
  1. Commutative Property of Multiplication
  1. Associative Property of Addition
  1. Associative Property of Multiplication
  1. Multiplicative Inverse Property
  1. Additive Inverse Property
  1. Multiplicative Identity Property
  1. Additive Identity Property
  1. Distributive Property
  1. What is the value of “n” that makes this statement true?

(2 x 5)(n) = 5 (3 × 2)

  1. Use the distributive property to expand the following:
  2. 4(5 + x)c. -2(x + 3)
  1. 7(z + 2)d. x(x + 2)
  1. Factor the following:
  2. 8x + 24c. -5y – 25
  1. 2x2 + 4xd. -3x + 27
  1. Simplify the following:
  2. 6x + 3xc. 2x + 5 + 4x
  1. 2(x + 7) + 3xd. 2x(5 + 3) + 3x
  1. Represent the following word problems with equations:
  2. Mrs. Cody buys 12 student tickets and 12 adult tickets to a play. The total amount she pays for the tickets is $359.40. If the price of each student ticket is $10.25, what is p, the price of each adult ticket?
  1. Mr. Wulker takes a taxi to school. The total charge of the ride includes an initial fee of $3.25 plus $2.75 for every ½ mile traveled. The cost for Mr. Wulker was exactly $17. How many (m) miles did he travel?
  1. Mrs. Bradshaw spent $10.89 on apps for her phone last month. One of the apps cost $4.95. The rest of the apps were just $0.99. How many apps (a) did Mrs. Bradshaw purchase?
  1. Mr. Hitch was participating in Pennies for Patients. He hopes to raise $250 for the charity. Mr. Hitch brings in $50. If every student in his class of 25 students brings in the same amount, how much money (m) will each student need to bring in?
  1. Mrs. Hamilton goes canoeing with her family. She can rent a canoe for $3 an hour, and she has to pay a $15 non-refundable deposit. The total bill for renting the canoe was $27, how many hours (h) did Mrs. Hamilton rent the canoe?
  1. Solve the following equations:
  2. 2x + 7 = 11e. -6a + 10 = -27
  1. (s/5) – 3 = 2f. 7x + 3 = 24
  1. 16y – 12 = 52g. 8 – 5a = 13
  1. 12k + 7 = 15h. 70 = 13b + 5
  1. How can you rewrite:
  2. p + .06p and what does it mean if p represents price of purchase?
  3. Amy is shopping at Kohl’s and says with her 20% off coupon her cost will be: 0.8c Is Amy right? Explain