Week 1/26 - 2/1 Mix - mostly distributive

solve for e

• 6

• -6

• 7

• -7

• 8

The figures shown are similar. What is the value of x?

(reminder: Similar figures have proportional sides)

• 30

• 35

• 20

• 25

Kezia walks her dog 2/5 of a mile in 2/3 of an hour. If they continue at the same rate, which statement is true?

• It will take them 3/5 hours to travel 1 mile

• It will take them 5/3 hours to travel 1 mile

• It will take them 4/3 hours to travel 1 mile

• It will take them 3/4 hours to travel 1 mile

Four students are asked to factor the expression 𝟏𝟖𝒙 + 𝟐𝟒. The table shows the students’ responses.

Which student factors the expression correctly?

• student 1

• student 2

• student 3

• student 4

Tags

CCSS.7.EE.A.1

An equilateral triangle has side lengths of (𝒙 + 𝟗) inches. The expression 𝟑(𝒙 + 𝟗) represents the perimeter of the triangle.

Which expression also represents the perimeter of the triangle, in inches?

• (𝑥 + 9) + (𝑥 + 9) + (𝑥 + 9)

• (𝑥 + 9)(𝑥 + 9)(𝑥 + 9)

• 3𝑥 + 9

• 12x

• 
• 
• 
• 

Consider the two expressions.

What value of n will make the two expressions equivalent?

• 22.94

• -22.94

• 10.5

• -10.5

The table shows the proportional relationship between the total number of gallons of water in a pool, 𝒚, and the number of hours, 𝒙, spent filling the pool with water.

What is the constant of proportionality for the number of gallons of water added to the pool each hour?

• 545
• 612

• 450

• 2,180

The equation 𝟖𝒎 + 𝟑 = 𝟕𝟓 models how many months, 𝒎, it takes a tree to reach a height of 𝟕𝟓 inches after being potted. If the tree grows the same number of inches each month, how many months does it take the tree to reach a height of 𝟕𝟓 inches?

• 72 months

• 25 months

• 9 months

• 8 months

The graph shows the relationship between the total cost, 𝒚, in dollars, for 𝒙 pounds of bananas.

What does point 𝑴 on the graph represent?

• The cost of 35 pounds of bananas is $1.00.

• The cost of 35 bananas is $1.00.

• The cost of 1 pound of bananas is $0.35.

• The cost of 1 banana is $0.35.