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Algebra I CC Algebra Name:___________________________ Date:_________________ Number_________ Review Sheet for Unit Test 1 Topics on Test Number Properties & Flow Charts Rational vs Irrationals Rearranging Formulas Solving Equations All word problems 1) When solving the equation 5(3x 2 2) 10 8x 2 7 Emily wrote 5(3x 2 2) 8 x 2 17 as her first step. Which property justifies Emily’s first step? (1) addition property of equality (2) commutative property of addition 2) (3) multiplication property of equality (4) distributive property of multiplication over addition The equation 5(4 x) (4 x)5 illustrates which property? (1) commutative (2) associative (3) distributive (4) multiplicative inverse 3) Which property of real numbers is illustrated by the equation (1) additive identity (2) commutative property of addition 5 5 0? (3) associative property of addition (4) additive inverse 4) Which property is illustrated by the equation 6 (4 x) 6 ( x 4) ? (1) (2) (3) (4) (1) associative property of addition (2) associative property of multiplication (3) distributive property (4) commutative property of addition 5) Which property of real numbers is illustrated by the equation 52 (27 36) (52 27) 36 ? ? (1) (2) (3) (4) (1) commutative property (2) associative property (3) distributive property (4) identity property of addition 6) For which value of P and W is (1) (2) (3) (4) a rational number? and and and and 7) A satellite television company charges a one-time installation fee and a monthly service charge. The total cost is modeled by the function . Which statement represents the meaning of each part of the function? (1) y is the total cost, x is the number of months of service, $90 is the installation fee, and $40 is the service charge per month. (2) y is the total cost, x is the number of months of service, $40 is the installation fee, and $90 is the service charge per month. (3) x is the total cost, y is the number of months of service, $40 is the installation fee, and $90 is the service charge per month. (4) x is the total cost, y is the number of months of service, $90 is the installation fee, and $40 is the service charge per month. 8) Tim ate four more cookies than Alice. Bob ate twice as many cookies as Tim. If x represents the number of cookies Alice ate, which expression represents the number of cookies Bob ate? 1) 2) 3) 4) 9) What is the value of the expression when and ? 10) Draw a flow diagram shows that the expression a bc is equivalent to the expression cb a . Fill in each circle with the appropriate symbol: C for the commutative property of addition, C x for the commutative property of multiplication, A for the associative property of addition, Ax for the associative property of multiplication 11) Solve for x: 1) 1 2) 3) 3 4) 12) Every month, Omar buys pizzas to serve at a party for his friends. In May, he bought three more than twice the number of pizzas he bought in April. If Omar bought 15 pizzas in May, how many pizzas did he buy in April? 13) If , p equals 1) 2) 3) 4) 14) In the term 4 x 2 3 , the 2 represents which of the following? (1) Coefficient (3) Monomial (2) Variable (4) Power 15) In the expression 6x 5 what is the coefficient? (1) -4 (3) -6 (2) 2 (4) -5 16) 3 times a number is increased by 5, is 7 less than twice the number. Which equation can be used to find this number, n? 1) 2) 3) 4)