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Unit 8- Algebra Review (standards)

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Algebra unit review for 5th grade.

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Unit 8- Algebra Review (standards)

  1. 1. Unit 8 Review Name_____________________________ Simplifythe followingexpressions usingorderof operations. 5.2.2.1 Apply the commutative, associative, and distributive properties and order of operations to generate equivalent numerical expressions and to solve problems involving whole numbers. (Questions 1-4) 1. 12 – (3 ÷ 3) + 5 × 2 ___________ 2. 4 × 3 + (5 + 3) ÷ 2 ___________ 3. 9 – 3 ÷ 3 + 2 ____________ 4. (2 x 5) + (7 – 4) __________ Evaluate the expression. 5.2.3.3 Evaluate expression and solve equations involving variables when values for the variables are given. (Questions 5-8) 5. 4n + 2 when n= 7. __________ 6. 9n – 7 whenn = 9. __________ 7. 3 x (3 – m) whenm = 1. _________ 8. 1 x (p x 2) + r whenp=4 and r=3. ______ Choose the correct equation and solve. 5.2.3.2 Represent real-world situations using equations and inequalities involving variables. Create real-world situations corresponding to equations and inequalities. (Questions 9-10) 9. Jimmy bought 125cans of soup to feedhis children. He gave each of his five children the same amount ofcans. How many cans did each child receive? A. 125 x 5 = c B. 125+ 5 = c C. 125÷ 5 = c D. 125– 5 = c Answer: ______________
  2. 2. Unit 8 Review Name_____________________________ 10. A bicycle rentalcompany charges a$5 deposit whenrentinga bicycle and also charge $7 per hour for bike rentals. If Dana spends $40 on her bicycle rental, how many hours(h) did she rent the bicycle? A. (5 + 7) – 40 = h B. 40 – (5 + 7)= h C. (5 + 7) x h = 40 D. 5 + (7h) = 40 Answer: _______________ Circle the value(s) of the variable that make the inequalitytrue. 5.2.3.1 Determine an equation or inequality involving a variable is true or false for a given value of the variable. (Questions 11-12) 11. c - 9 > 41 42 53 50 61 47 12. 16 ≥ 8 + f 10 8 2 14 0 Complete the rule forthe function table. Thenwrite the equation. Fill inthe missingblanks. 5.2.1.1 Create and use rules, tables, spreadsheets and graphs, to describe patterns of change and solve problems. (Questions 13-16) 13. Rule in words: Multiply by ____________,then_______________________. Equation: Input (x) 2 9 7 12 15 20 Output (y) 3 13 39
  3. 3. Unit 8 Review Name_____________________________ 14. Which table follows the rule x ÷ 2 = y? Circle the correct table. 15. Which equationwas usedto plot the points? Use the table to help you. x y A. y = x B. y = x + 2 C. y = 2x D. y = x – 2 16. Whichtable represents the ordered pairs shownin the graphbelow? Circle the correct table.
  4. 4. Unit 8 Review Name_____________________________ ExtendedResponse: Complete the table andgraph the equationto solve the problem. 5.2.1.2 Use a rule or table to represent ordered pairs of positive integers and graph these ordered pairs on a coordinate system. 17. The Phone Company charges $6 to have a phone and $2 for eachlocal call. Mrs. Dobb’s phone billfor Marchinvolved 4 local calls. How muchdid the Phone Company billMrs. Dobbs? Equation: 6 + 2c = a Number ofLocalCalls (c) 0 1 2 3 4 5 Amount of$ (a) $6 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10 11 Number of Local Calls(c) Amountof$(a) Answer: ___________________

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