Math Multiple Choice Identify the choice that best completes the statement or answers the question.

Transcription

1 Math 7-64 Multiple Choice Identify the choice that best completes the statement or answers the question 1 Solve this equation: 3 + x = 9 A) 12 B) 6 C) 5 D) 3 2 Solve this equation: x 2 = 10 A) 5 B) 12 C) 8 D) 11 3 Solve this equation: 5x = 40 A) 35 B) 4 C) 8 D) 35 4 Solve this equation: 2x 5 = 7 A) 1 5 B) 6 C) 4 D) 10 5 Solve this equation: 6x + 14 = 26 A) 6 B) 2 C) D) 1 6 Each term of a number pattern is represented by, where n represents the term number What is the term number for a term value of 69? A) 11 B) 66 C) 60 D) 69 7 Write an equation to find this number: the number reduced by 6 is equal to 8 Solve the equation A) x 6 = 8, x = 14 B) x + 6 = 8, x = 2 C) 6 x = 8, x = 14 D) x 8 = 6, x = 2

2 8 Write an equation to find this number: 8 more than 3 times the number is 17 Solve the equation A) 3x + 8 = 17, x = 6 B) 3x 8 = 17, x = 2 C) 3x + 8 = 17, x = 3 D) 3x + 17 = 8, x = 3 9 Write an equation to find this number: 9 more than double the number is 15 Solve the equation A) 2x 15 = 9, x = 3 B) 2x + 9 = 15, x = 12 C) 2x + 9 = 15, x = 3 D) 2x 9 = 15, x = The perimeter of a regular hexagon is 54 cm Write an equation you can use to find the side length of the hexagon Solve the equation A) x + 6 = 54, x = 9 B) 6x = 54, x = 48 C) x + 6 = 54, x = 48 D) 6x = 54, x = 9 11 In x weeks and 3 days, it will be Kevin s birthday His birthday is in 52 days Write an equation you can use to find the value of x Solve the equation A) x + 3 = 7, x = 4 B) 7x + 3 = 52, x = 7 C) 7x 3 = 52, x = 7 D) 21x = 52, x = Caitlin worked in a clothing store last weekend for $6/h She was also paid a bonus of $7 She earned a total of $55 Write an equation you can use to find how many hours she worked Solve the equation A) 7x + 6 = 55, x = 8 B) 6x 7 = 55, x = 10 C) x = 55, x = 42 D) 6x + 7 = 55, x = 8 Short Answer 13 Solve this equation: 6x + 8 = Solve this equation: 5x 6 = 9 15 When the expressions x + 6, x + 15, and x + 8 are added, the result is 50 Find the value of x

3 16 Nine less than 4 times a number is 11 Write an equation you can use to find the number Find the number 17 Each term of a number pattern is represented by, where n represents the term number a) What is the value of the 10th term? b) What is the term number for a term value of 76?

4 18 Each term of a number pattern is represented by a) What is the value of the 10th term?, where n represents the term number b) What is the term number for a term value of 59? 19 Sean paid $70 to rent a boat to go fishing The rental rate was $40 plus $6 per hour For how many hours did Sean rent the boat? Write an equation, then solve the problem 20 Jacqui has $30 in her savings account She saves $20 each week How long will it take before she has $350 in her account? Write an equation, then solve the problem

5 21 A rectangle has a length (x + 7) cm and a width 6 cm The perimeter is 36 cm Write an equation, then find the length of the rectangle 22 Marsha spent $12 every week for the last 6 weeks Now she has $24 left How much money did Marsha start with? Write an equation, then solve the problem 23 At a bowling alley, it costs $5 to rent shoes and $3 for each game How many games can you play if you have $29 and you need to rent shoes? Problem

6 24 Solve this equation: x x 6 + x + 5 = 20 Show your steps and verify your solution 25 A catering company charges a flat rate of $85 plus $12 per person attending a function The total cost for a function was $565 How many people attended? Show your work 26 The 3 sides of a triangle measure x cm, (x + 2) cm, and (x + 2) cm If the perimeter of the triangle is 34 cm, find the side lengths of the triangle Show your work

7 27 The length of a rectangle is 8 cm more than the width If the perimeter of the rectangle is 52 cm, find the length and width Show your work

8 Math 7-64 Answer Section MULTIPLE CHOICE 1 ANS: B PTS: 1 DIF: Easy REF: 64 Solving Equations Using Algebra LOC: 7PR3 7PR6 2 ANS: B PTS: 1 DIF: Easy REF: 64 Solving Equations Using Algebra LOC: 7PR3 7PR6 3 ANS: C PTS: 1 DIF: Easy REF: 64 Solving Equations Using Algebra LOC: 7PR3 7PR7 4 ANS: B PTS: 1 DIF: Moderate REF: 64 Solving Equations Using Algebra LOC: 7PR3 7PR7 5 ANS: B PTS: 1 DIF: Moderate REF: 64 Solving Equations Using Algebra LOC: 7PR3 7PR7 6 ANS: A PTS: 1 DIF: Moderate REF: 64 Solving Equations Using Algebra LOC: 7PR3 7PR7 7 ANS: A PTS: 1 DIF: Moderate REF: 64 Solving Equations Using Algebra LOC: 7PR3 7PR6 8 ANS: C PTS: 1 DIF: Moderate REF: 64 Solving Equations Using Algebra LOC: 7PR3 7PR7 9 ANS: C PTS: 1 DIF: Moderate REF: 64 Solving Equations Using Algebra LOC: 7PR3 7PR7 10 ANS: D PTS: 1 DIF: Moderate REF: 64 Solving Equations Using Algebra LOC: 7PR3 7PR7 11 ANS: B PTS: 1 DIF: Difficult REF: 64 Solving Equations Using Algebra LOC: 7PR3 7PR7 12 ANS: D PTS: 1 DIF: Difficult REF: 64 Solving Equations Using Algebra LOC: 7PR3 7PR7 SHORT ANSWER 13 ANS: x = 4

9 PTS: 1 DIF: Moderate REF: 64 Solving Equations Using Algebra LOC: 7PR3 7PR7 14 ANS: x = 3 PTS: 1 DIF: Moderate REF: 64 Solving Equations Using Algebra LOC: 7PR3 7PR7 15 ANS: 3x + 29 = 50 x = 7 PTS: 1 DIF: Moderate REF: 64 Solving Equations Using Algebra LOC: 7PR3 7PR7 16 ANS: Let x represent the number The number is 5 PTS: 1 DIF: Moderate REF: 64 Solving Equations Using Algebra LOC: 7PR3 7PR7 17 ANS: a) The 10th term is 64 b) Term 12 has a value of 76 PTS: 1 DIF: Moderate REF: 64 Solving Equations Using Algebra LOC: 7PR3 7PR7 18 ANS: a) The 10th term is 29 b) Term 20 has a value of 59 PTS: 1 DIF: Moderate REF: 64 Solving Equations Using Algebra LOC: 7PR3 7PR7 19 ANS: Let x represent the number of hours Sean rented the boat for 5 hours PTS: 1 DIF: Moderate REF: 64 Solving Equations Using Algebra LOC: 7PR3 7PR7 20 ANS: Let x represent the number of weeks

10 It will take 16 weeks PTS: 1 DIF: Moderate REF: 64 Solving Equations Using Algebra LOC: 7PR3 7PR7 21 ANS: The length of the rectangle is 12 cm PTS: 1 DIF: Moderate REF: 64 Solving Equations Using Algebra LOC: 7PR3 7PR7 Problem-solving Skills 22 ANS: Let x represent the amount of money Marsha started with $96 PTS: 1 DIF: Moderate REF: 64 Solving Equations Using Algebra LOC: 7PR3 7PR6 23 ANS: 8 games PTS: 1 DIF: Difficult REF: 64 Solving Equations Using Algebra LOC: 7PR3 7PR7 KEY: Problem-solving Skills PROBLEM 24 ANS: To verify the solution, substitute x = 3 into Since the left side equals the right side, x = 3 is correct

11 PTS: 1 DIF: Difficult REF: 64 Solving Equations Using Algebra LOC: 7PR3 7PR7 KEY: Procedural Knowledge Communication 25 ANS: Let n be the number of people attended 40 people attended the function PTS: 1 DIF: Difficult REF: 64 Solving Equations Using Algebra LOC: 7PR3 7PR7 KEY: Procedural Knowledge Communication 26 ANS: The 3 sides of the triangle measure 10 cm, 12 cm, and 12 cm PTS: 1 DIF: Difficult REF: 64 Solving Equations Using Algebra LOC: 7PR3 7PR7 KEY: Procedural Knowledge Communication 27 ANS: Let l cm be the length and w cm be the width l = w + 8 The width is 9 cm and the length is 17 cm PTS: 1 DIF: Difficult REF: 64 Solving Equations Using Algebra LOC: 7PR3 7PR7 KEY: Procedural Knowledge Communication