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Chapter 4 Review Math Write a numerical expression for the following: Don practiced soccer for 3 hours on Friday and for 4 hours on Saturday Write a numerical expression for the following: Don practiced soccer for 3 hours on Friday and for 4 hours on Saturday 3 + 4 Write an algebraic expression for the following. Tell what the variable represents. Ben has 12 pencils. He lost 3 and bought some more. Write an algebraic expression for the following. Tell what the variable represents. Ben has 12 pencils. He lost 3 and bought some more. 12 – 3 + p (p = pencils that Ben bought) Write an algebraic equation for the following and evaluate. Tell what the variable represents. Sam had fish in his fish tank. 6 of them died. There were 12 left swimming in the tank. How many fish did Sam have originally? Sam had fish in his fish tank. 6 of them died. There were 12 left swimming in the tank. How many fish did Sam have originally? f – 6 = 12 f = 18 f is the number of fish Sam had originally in his tank. Write each algebraic expression in words s - 47 Write each algebraic expression in words s - 47 47 less than some number Evaluate the following algebraic expressions for the given value of the variable: (a = 5) (a + 32) – 3 4 + (20 ÷ a) Evaluate the following algebraic expressions for the given value of the variable: (a = 5) (a + 32) – 3 (5 + 32) – 3 37 – 3 34 4 + (20 ÷ a) 4 + (20 ÷ 5) 4 + 4 8 Evaluate the following algebraic expressions for the given value of the variable: (n = 11) (n + 25) 9 Evaluate the following algebraic expressions for the given value of the variable: (n = 11) (n + 25) 9 4 Evaluate the following expression: ² (8 ² ² + 4 ) ² ÷ (4 x 5 ) ² (8 ² ² + 4 ) ² ÷ (4 x 5 ) (64 + 16) ² ÷ (4 x 25) 80 ² ÷ 100 6,400 ÷ 100 64 Evaluate the following algebraic equations. Check your work. Show your work. 30 = 5y 8 = x ÷ 9 t - 12 = 23 ¼n = 7 18 = 3 + s y ÷ 6 = 7 Evaluate the following algebraic equations. Show your work. 30 = 5y 8 = x ÷ 9 t - 12 = 23 6 72 35 ¼n = 7 28 18 = 3 + s y ÷ 6 = 7 15 42 Name the properties shown: 1. 327 (65 + 32) = (327 x 65) + (327 x 32) 2. 96 + 127 = 127 + 96 3. (32 x 2) x 40 = 32 x (2 x 40) 4. 0 + 1,325,985,123 5. 18,000 x 1 Name the properties shown: 1. Distributive 2. Commutative 3. Associative 4. 5. Identity of Addition Identity of Multiplication Find the value of y. Identify the property used to find its value: 1. 41 + (18 + 9) = (41 + y) + 9 2. 67 x 34 = y x 67 3. 4 x (7 + y) = (4 x 7) + (4 x 9) 4. 5. y = 0 + 325 y x 1 = 1,500 1. 41 + (18 + 9) = (41 + y) + 9 y = 18 Associative Property 2. 67 x 34 = y x 67 y = 34 Commutative Property 3. 4 x (7 + y) = (4 x 7) + (4 x 9) y=9 Distributive Property 4. y = 325 y = 1,500 y = 0 + 325 Identity Property of Addition 5. y x 1 = 1,500 Identity Property of Multiplication Use the properties and mental math to solve the following: 1. (36 + 42) + 24 = 2. 5 x 23 = 3. 39 + 18 + 32 = Use the properties and mental math to solve the following: 1. (36 + 42) + 24 = Commutative (36 + 24) + 42 = 102 2. 5 x 23 = Distributive (5 x 20) + (5 x 3) = 100 + 15 = 115 3. 39 + 18 + 32 = Associative 39 + (18 + 32) = 89 Which of the following numbers 8, 9 and 10 are solutions for the inequalities: 1. p + 4 > 12 2. x – 5 < 6 3. r + 7 ≥ 15 Which of the following numbers 8, 9 and 10 are solutions for the inequalities: 1. p + 4 > 12 2. x – 5 < 4 3. r + 7 ≥ 15 9, 10 8 8, 9, 10 What is the rule? Write an equation to represent the function. Complete the table. Input, x 4 Output, y 20 8 12 60 16 What is the rule? Write an equation to represent the function. Complete the table. Input, x 4 8 12 16 Output, y 20 40 60 80 Rule: x 5 Equation: 5x = y For word problem practice, see Text pgs. 116 – 119.