6th grade Case 20-21 Part 2

Consider the number set. 16, 17, 18, 19.

Which value of j in the number set makes the equation 8(j + 1) - 2 = 142 true?

• 16

• 17

• 18

• 19

Consider the number set. 16, 17, 18, 19.

Which value of k in the number set makes the inequality 3k > 54 true?

• 16

• 17

• 18

• 19

A student uses the Distributive Property to rewrite 18 + 54. Which expression could the student use?

• 9(9 + 45)

• 9(9 + 54)

• 18(1 + 3)

• 18(1 + 54)

Emily pays a volleyball tournament organizer $86 to reserve a spot and $15 per game played at the tournament. Which statement is true?

• The expression 15p + 86 represents the total amount of money Emily pays the volleyball tournament organizer for playing p games at the tournament.

• The expression 15p + 86 represents the total number of games, p, Emily plays at the tournament.

• The expression 86p + 15 represents the total amount of money Emily pays the volleyball tournament organizer for playing p games at the tournament.

• The expression 86p + 15 represents the total number of games, p, Emily plays at the tournament.

Erika is a pet sitter who charges $84.00 for 8 hours of work. At this rate, how much does Erika charge for 7 hours of work?

• $73.50

• $74.00

• $76.00

• $95.24

Rob and Carter survey a random group of workers. The dot plot shows the number of days that each worker takes to complete a specific task. How many workers do they survey?

• 8 workers

• 17 workers

• 46 workers

• 102 workers

Consider the two expressions.

Expression 1: 7k + 2k - 1

Expression 2: 4k(2) - 1

Which statement is true?

• A. The two expressions are equivalent because they both simplify to 6k - 1.

• B. The two expressions are equivalent because they both simplify to 8k.

• C. The two expressions are not equivalent because they do not always have the same value when any value is substituted for k.

• D. The two expressions are not equivalent because they have the same value when any value is substituted for k.

Braezdyn and Archie are comparing their scores in a game. Braezdyn scored -10 points, while Archie scored -15 points. Which best describes the statement -10 < -15?

• The statement is false because -10 is greater than -15, and -10 is located above -15 on a vertical number line oriented from bottom to top.

• The statement is false because -10 is greater than -15, and -10 is located below -15 on a vertical number line oriented from bottom to top.

• The statement is true because -10 is less than -15, and -10 is located above -15 on a vertical number line oriented from bottom to top.

• The statement is true because -10 is less than -15, and -10 is located below -15 on a vertical number line oriented from bottom to top.

Addisyn is designing a garden in the shape of the figure shown. What is the area of the garden?

• 225 cm²

• 180 cm²

• 35 cm²

• 25 cm²

Which expression represents the product of a number, x, and the difference of 5 and 1?

• 5x - 1

• 5x + 1

• x(5 - 1)

• x(5 + 1)