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Name____________________ Expressions, Equations and Order of Operations Study Guide/Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. What is the value of the expression below if y = 5? 35 ÷ (y + 2) + 4 a. b. c. d. 5 7 9 13 2.What is the value of the expression below? 7 (7 – 4) + 6 a. b. c. d. 21 27 51 63 3.Evaluate 47 + d for d = 30. a. 17 b. 67 c. 77 d. 87 c. 288 d. 6 4.What is the value of k ÷ 6 when k is equal to 48? a. 9 b. 8 5.Which expression represents the phrase “the cost of p pounds of tomatoes at $2.99 per pound”? a. b. c. d. $2.99 + p $2.99 – p $2.99 ÷ p $2.99p 6.Lucy spent $15 of her money. If m represents her money, which expression shows how much money Lucy will have left? a. b. c. 15 – m m – 15 d. 15 + m 7.There are 12 inches in one foot. Which algebraic expression shows the number of inches in p feet? a. b. c. d. p – 12 12p 12 p 12 ÷ p 8.Which of the following gives the value of the expression b a. b. c. d. 4 16 21 84 4 for b = 21? Name____________________ Expressions, Equations and Order of Operations Study Guide/Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. 9.A fifth-grade class is earning points for a pizza party by reading books. For every book they read, they earn 6 points. Complete the table, where b represents the number of books read. How many points will they earn if b = 24? a. b. c. d. 10. 180 points 156 points 144 points 30 points What is the value of the expression 10 – (8 + 6) ÷ 2 – 1? a. b. c. d. 2 3 4 5 11.What is the value of 16 – 3k + 5 when k = 4? a. b. c. d. 4 9 12 23 12.Which of the following is equal to 13? a. b. c. d. 3 + (9 ÷ 4) + 2 5 3 + 9 ÷ (4 – 2) 5 (3 + 9) ÷ (4 + 2) 5 (3 + 9) ÷ 4 + 2 5 13.The number of laps Max walked is 5 less than the number Aaron walked. If a represents the number of laps that Aaron walked, which expression represents the number of laps Max walked? a. b. 5–a 5a c. d. 5+a a–5 14.Conrad has 6 fewer marbles than Rory. If r represents the number of marbles that Rory has, which expression represents the number of marbles that Conrad has? a. r+6 b. r–6 c. 6r d. 6–r 15.Pierre had $42 before he paid his club dues. Evaluate the expression 42 – d for d = 25 to find how much money Pierre had left after he spent $25 on dues. a. $15 b. $17 c. $67 d. $4,225 Name____________________ Expressions, Equations and Order of Operations Study Guide/Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. Expressions, Equations and Order of Operations Study Guide/Practice Test Answer Section MULTIPLE CHOICE 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. ANS: C PTS: 1 REF: Lesson 8-4 NAT: 5.OA.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. STA: M5A1b Investigate simple algebraic expressions by substituting numbers for the unknown. TOP: Evaluating Expressions ANS: B PTS: 1 REF: Lesson 8-3 NAT: 5.OA.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. TOP: Simplifying Expressions ANS: C PTS: 1 REF: Lesson 8-5 NAT: 5.OA.3 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. STA: M5A1a Use variables, such as n or x, for unknown quantities in algebraic expressions. TOP: Addition and Subtraction Expressions ANS: B PTS: 1 REF: Lesson 8-6 NAT: 5.OA.3 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. STA: M5A1a Use variables, such as n or x, for unknown quantities in algebraic expressions. TOP: Multiplication and Division Expressions ANS: D PTS: 1 REF: Lesson 8-8 NAT: 5.OA.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 x (8 + 7). Recognize that 3 x (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. STA: M5A1a Use variables, such as n or x, for unknown quantities in algebraic expressions. TOP: Variables and Expressions ANS: B PTS: 1 REF: Lesson 8-8 NAT: 5.OA.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 x (8 + 7). Recognize that 3 x (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. STA: M5A1a Use variables, such as n or x, for unknown quantities in algebraic expressions. TOP: Variables and Expressions ANS: B PTS: 1 REF: Lesson 8-8 NAT: 5.OA.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 x (8 + 7). Recognize that 3 x (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. STA: M5A1a Use variables, such as n or x, for unknown quantities in algebraic expressions. TOP: Variables and Expressions ANS: D PTS: 1 REF: Lesson 8-4 NAT: 5.OA.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. STA: M5A1b Investigate simple algebraic expressions by substituting numbers for the unknown. TOP: Evaluating Expressions ANS: C PTS: 1 REF: Lesson 8-7 NAT: 5.OA.3 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. STA: M5A1c Determine that a formula will be reliable regardless of the type of number (whole numbers or decimals) substituted for the variable. TOP: Patterns: Extending Tables ANS: A PTS: 1 REF: Lesson 8-2 NAT: 5.OA.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. TOP: Order of Operations ANS: B PTS: 1 REF: Lesson 8-4 NAT: 5.OA.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. STA: M5A1b Investigate simple algebraic expressions by substituting numbers for the unknown. TOP: Evaluating Expressions ANS: D PTS: 1 REF: Lesson 8-2 NAT: 5.OA.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. TOP: Order of Name____________________ Expressions, Equations and Order of Operations Study Guide/Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. 13. 14. 15. Operations ANS: D PTS: 1 REF: Lesson 8-1 NAT: 5.OA.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 x (8 + 7). Recognize that 3 x (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. STA: M5A1a Use variables, such as n or x, for unknown quantities in algebraic expressions. TOP: Using Variables to Write Expressions ANS: B PTS: 1 REF: Lesson 8-1 NAT: 5.OA.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 x (8 + 7). Recognize that 3 x (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. STA: M5A1a Use variables, such as n or x, for unknown quantities in algebraic expressions. TOP: Using Variables to Write Expressions ANS: B PTS: 1 REF: Lesson 8-5 NAT: 5.OA.3 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. STA: M5A1a Use variables, such as n or x, for unknown quantities in algebraic expressions. TOP: Addition and Subtraction Expressions