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Name:______________________________ Date:________________________ Period:_________ Unit 1 Practice Test Variables and Translations. Write an algebraic expression for each phrase. a. the sum of 5 and three times a number _________________________________________________ b. 8 minus the product of 9 and a number _______________________________________ Define variables and write an equation to model the following situation. a. The total cost of gas is the number of gallons times $3.79. b. The perimeter of a regular octagon is 8 times the length of one side. rGEMDAS. Simplify the following expressions. 2[(13 – 7)2 3] 36 – (4 + 5 4) 12 + 3[18 – 5(16 – 13)] 9 + [4 – (10 – 9 )2]3 Evaluate Expressions. Evaluate each expression. Use a = 3 b = -2 c = 1 2a2 – (4b + c) 9(a + 2b) + c 4a – b2 2a + b 2 Operations with Integers. Simplify. -9 – (2)(-3) = ____________ -5 + 5(-2) – 9 = __________ -5(6 – 7) + 6 = _________ Distributive Property. Simplify. Use the distributive property in reverse. -4(2x + 6) 27x – 9 = ____________________ 15x + 3 = ___________________ 8 – (4x + 3) -10x + 6 Classify Terms. -p2 - 4p + 10 – 2p + (-1) + 5p2 terms constants coefficients like terms Simplify the expression: Properties of Numbers. Simplify the expression. Justify each step. 3(2x – 4) + 2x Expression Name the property that each equation illustrates. 10 + 0 = 10 3(x – 2) = 3x – 6 5 =1 m + (-m) = 0 34 + 8 = 8 + 34 (2 3) 6 = 2 (3 6) Real Numbers. Name all sets of numbers to which each number belongs. You can just use the first letter. Rational -3.21 Irrational –½ Whole Integer 18 Describe the difference between irrational and rational numbers. Must be at least THREE SENTENCES. ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________