North Seattle Community College Summer 2012 MATH 097 Elementary Algebra Practice Test 1 NAME: _______________________ July 7th, 2012 SCORE: ______________________ Question 1 a) Tell if the fraction on the left is less or greater than the fraction on the right. Use <, > or = (i) (ii) 3 3 5 6 3 15 7 5 1 1 1 1 1 3 1 ÷2⋅8+3 9 b) Evaluate c) Evaluate 2 [8 + 2 (4 − 6)] 2 Question 2 a) Match the equations below with the property it represents: A. commutative property B. associative property C. distributive property i) 6 15 (12 − 2) = 6 15 ⋅ 12 − ii) 9 ( hk ) = (9h) k iii) 7 ( 3 6 ) = 7 ( 6 3 ) 6 15 ⋅2 b) Find the error and describe it in words and then solve the problem correctly: Simplify: 8(4x – 1) – 3(2x – 5) Answer: 8(4x – 1) – 3(2x – 5) = 8(4x) + 8(-1) – 3(2x) – 2 (5) = 32x – 8 – 6x -15 = 26x – 23 Question 3 a) Simplify: 20(x − 4) − 5x b) Evaluate: 8 (5 y − 3) = 40 y – 24 c) Solve: 2x − 3(x – 5) = 5(3 + x) Question 4 a) Solve: b) Solve: 5 3 (− 4 6 x+3 2x + 1 𝑚 + 1) 2 1 = − 3 (2 𝑚 − 1) =1 Question 5 a) What is 50% of 80? b) What is the sale price of a $60 pair of running shoes on sale for 20% off? c) Use proportions to change each of these ratio to a percent: 1:4 3:8 5:7