KDS Grade 7 Math Comprehensive Assessment SBAC Assessment ID: dna ib

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1 1 Select the two tables that represent a proportional relationship between x and y. A. x y B. x y C. x y D. x y Timmy uses 1 cups of sugar for every 2 gallons of lemonade he makes. How many cups of sugar 2 would Timmy use if he makes 13 gallons of lemonade? cups of sugar 3 Alicia is making cupcakes for a party she is having and wants to make sure everyone gets at least one cupcake. The recipe calls for 1 2 of a teaspoon of salt for every batch and each batch makes 21 cupcakes. If Alicia is having a party with 84 people attending, how many teaspoons of salt will Alicia use? teaspoons of salt Generated On May 4, 2017, 7:53 PM PDT Page 1

2 4 Mark wants to ship a package to his parents for Christmas. He looked at the following graph, which shows a proportional relationship between the cost of shipping ($) and the weight (lbs) of the package. If Mark's package weighs 25 pounds, how much will it cost him to ship the package? $ 5 Shelby wants to buy three ice cream cones and some candy for her friends. Shelby wants to spend exactly $ If an ice cream cone costs $3.25 each and candies cost $1.35 each, how many candy pieces can Shelby buy? Use the equation below to find your answer. 1.35x (3) = candies 6 Chelsea is budgeting for her trip to the mall. She does not want to spend any more than $140. If she wants to buy a dress that costs $28.50 and some shirts that cost $20.75 each, how many shirts can she buy? Use the inequality to help solve the problem. A. 10 B. 7 C. 6 D x Generated On May 4, 2017, 7:53 PM PDT Page 2

3 7 Which of the following expressions is equivalent to 19 ( ) ? A (1.85) B (1.85) C. 19 ( ) 12.5 D ( ) 8 Mark is buying supplies for his students. He is buying a notebook (n) and a pack of pencils for each of his 25 students. Each pack of pencils costs $1.25. If Mark's total cost is $156.25, which of the following equations can be used to find how much each notebook cost? Select two that apply. A. 25(n) = B. 1.25(n) + 25 = C. 25(n) = D. 25(n) = Samantha is planning to take a trip. The cost of the plane ticket is $575. She earns $15 an hour (h) and has already saved $135. Which of the following inequalities shows the number of hours (h) Samantha could work in order to buy her ticket? Select two that apply. A. 15h B. 15h C. 15h 440 D. 15h Select the value of ( 4) 3 3. A B. 9 4 C D Generated On May 4, 2017, 7:53 PM PDT Page 3

4 11 Which number line below correctly plots 1 2 A. B. C. D. 5? Select the expression equivalent to (6x + 5) (4x 6). A. 2x + 11 B. 2x 1 C. 10x + 11 D. 10x 1 14 Select the expression equivalent to ( 13x 15) ( 9x + 16). A. 4x 31 B. 4x + 1 C. 4x 31 D. 22x Select three expressions equivalent to 81x A. 9(9x 3) B. 9( 9x 3) C. 3( 27x + 9) D. 3(27x 9) E. 3( 27x + 9) Generated On May 4, 2017, 7:53 PM PDT Page 4

5 16 A scale factor of 3 was applied to this figure. What would be the new length of the height and width of the triangle? units 17 This figure is a rectangular prism. If the height and width are equal, and the length is double the width, select two figures that can be formed by a slice directly down the middle. A. rectangle B. triangle C. square D. pentagon 18 The radius of a circle is 15 inches. Enter the area of the circle, in square inches. Round your answer to the nearest tenth and use 3.14 for π. square inches 19 Carl wants to estimate the number of students in 5 th grade who like to play basketball. He needs to create a random sample of students. How should Carl collect his sample? A. Carl should ask 30 students who are playing basketball. B. Carl should ask 30 5 th grade students. C. Carl should ask 30 students who go to the same school. D. Carl should ask 30 students who are playing football. Generated On May 4, 2017, 7:53 PM PDT Page 5

6 20 Jonathan is using a six sided die to conduct an experiment. What would be the probability that the die would land on the number four, three times in a row? Enter your answer as a fraction. 21 Frank's Football Gear is having a sale on helmets. The sales price, not including tax is $ If the sale is 30% off all helmets, what is the regular price of the helmet to the nearest cent? $ 22 Which of the following situations results in a sale price that is less than or equal to $20.00? Select two that apply. A. A $29.99 lamp is on sale for 35% off. B. A $39.99 set of pans is on sale for 45% off. C. A $49.99 chair is on sale for 60% off. D. A $59.99 video game is on sale for 40% off. 23 Kassidy charges a flat rate for mowing yards in her neighborhood, shown on the graph below. The table below shows the number of yards Kassidy mowed last week. Fill in the table to show how much money Kassidy earned. Day Number of Yards Mowed Amount Earned Friday 5 $ Saturday 6 $ Sunday 3 $ Total 14 $ Generated On May 4, 2017, 7:53 PM PDT Page 6

7 24 Nine years ago, Tarah opened a savings account with her bank. She started with a balance of $359 and has not made any withdrawals or deposits since then. If her interest rate is 8% each year, how much interest has accrued using simple interest? Total Interest = $ What is Tarah's new total balance? New Balance Total = $ 25 Sara claims that the number of pages she has read in her book is proportional to the number of minutes that she has spent reading. She collects several data points to prove her claim and expresses the data points as (x, y) coordinate pairs. Which of the following actions could Sara take to prove her claim? Select two that apply. A. Place the coordinate pairs in a table and show that they create equivalent ratios. B. Use the coordinate pairs to show that an equation of the form y = x + c can be written. C. List out the coordinate pairs and show that each y value is a multiple of its associated x value. D. Plot the coordinate pairs on a graph and show that the points make a straight line through the origin. 26 Kelly works in a grocery store stocking shelves. The graph below shows the money Kelly earns stocking shelves. Write an equation to represent the money Kelly earns in relationship to the hours she works. Let m represent the money she earns, and let h represent the number of hours she works. Generated On May 4, 2017, 7:53 PM PDT Page 7

8 27 Paul, Kevin, Justin, and David will share the cost of buying a fishing boat. Paul will pay 20% of the cost Kevin will pay 25% of the cost Justin will pay 30% of the cost David will pay the remainder of the cost The cost of the boat is $2550. Fill in the table to show how much Paul, Kevin, Justin, and David will each pay towards the boat. Paul $ Kevin $ Justin $ David $ 28 A teacher driving to a conference in a school van records the number of gallons of gas used and the number of miles traveled. Complete the table to show the case where there is a proportional relationship between the number of gallons of gas used by the school van and the number of miles traveled. Gallons of Gas Miles Traveled Daria states that the value of the expression x 2 x is sometimes negative. Which of the 5 A. following values of x would support Daria s claim? Select two that apply B C. 1 D. 2.3 Generated On May 4, 2017, 7:53 PM PDT Page 8

9 30 Mr. Porter owns a house. When he first bought the house it was valued at d dollars. Since then, the value of the house has increased. Mr. Porter writes the equation below to express the current value of his house. d d = 1.21d Mr. Porter claims that the value of his house has increased by 121%, since 1.21 is equal to 121%. Decide if Mr. Porter is correct. If he is correct, enter 121 below. If he is not correct, enter the correct percent increase. % 31 A claim is made that expression 1 and expression 2 as shown below are equivalent. A student is asked to provide proof that the claim is true. Expression 1: 3(2x 6y) 2x Expression 2: 18y 8x Which of the following options could the student use to provide proof that the two expressions are equivalent? Select two that apply. A. They could multiply expression 2, (18y 8x) by 3 and then compare their result to expression 1. B. For expression 1 they could multiply (2x 6y) by 3 and then subtract 2x from 6x to combine terms. They then can compare their result to expression 2. C. For expression 1 they could multiply (2x) by 3 and then subtract 2x from 6x to combine terms. They then can compare their result to expression 2. D. They could substitute in the values x = 1 and y = 2 into both expressions, solve the expressions, and determine if both expressions result in the same value. E. They could substitute in the values x = 1 and y = 1 into expression 1 and x = 2 and y = 2 into expression 2. Then, they could solve both expressions and determine if both expressions result in the same value. Generated On May 4, 2017, 7:53 PM PDT Page 9

10 32 Joseph works at a restaurant where he makes a constant hourly rate. Joseph wants to calculate that hourly rate, so he graphed the amount he was paid and the hours he worked for two days last week: Using the graph Joseph created, he incorrectly calculated that his hourly rate is $7.55. Enter the correct hourly rate Joseph earns. $ 33 r Sandra knows that = t for integers r, s, and t. Which of the following equations must also be true? s Select three that apply. A. r = t s B. r = t s C. r = t s D. r = t s Generated On May 4, 2017, 7:53 PM PDT Page 10

11 34 Rational numbers m and n are plotted on the number line below. Based on the number line, which statement is true? A. The value of n m is positive. B. The value of n + m is positive. C. The value of n + m is negative. D. The value of (n m) is negative. Stop: You have finished the assessment. Generated On May 4, 2017, 7:53 PM PDT Page 11

North Carolina READY End-of-Grade Assessment Mathematics RELEASED. Grade 5. Student Booklet

North Carolina READY End-of-Grade Assessment Mathematics RELEASED. Grade 5. Student Booklet REVISE 7//0 Released Form North arolina REY End-of-Grade ssessment Mathematics Grade Student ooklet cademic Services and Instructional Support ivision of ccountability Services opyright 0 by the North