non proportional relationships / equations / Inequalities

An anchor is sinking at a constant rate towards the ocean floor. The equation

y = −8x − 5 can be used to represent this situation, where y is the depth

of the anchor in feet below sea level and x is the number of seconds the

anchor has been sinking.

Which statement best describes the depth of the anchor, given this equation?

• A

  From a starting position of 8 feet below sea level, the anchor is descending 5 feet per

  second.

• B

  From a starting position of 8 feet below sea level, the anchor is ascending 5 feet per

  second.

• C

  From a starting position of 5 feet below sea level, the anchor is descending 8 feet per

  second.

• D

  From a starting position of 5 feet below sea level, the anchor is ascending 8 feet per

  second.

Tags

CCSS.HSF.LE.B.5

The table shows the distance, y, a plane can travel in miles in x hours.

Based on the information in the table, which equation can be used to model

the relationship between x and y?

• A

  y = x + 450

• B

  y = 450x

• C

  y = x + 900

• D

  y = 90x

Tags

CCSS.HSF-BF.A.1A

Which equation best represents the relationship between x and y in

the graph?

• A

  y = 2x − 3

• B

  y = 2x + 3

• C

  y = −2x + 3

• D

  y = −2x − 3

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Darion has collected 500 marbles. Each month he buys 50 more

marbles to add to his collection.

Which inequality can be used to find m, the number of months after

starting his collection when Darion will have more than 800 marbles

in his collection?

• A

  500m + 50 > 800

• B

  50m + 500 > 800

• C

  500m + 50 < 800

• D

  50m + 500 < 800

Tags

CCSS.7.EE.B.4B

Which situation can be represented by this inequality?

800 ≤ 15y + 50

• A - Ally has 50 coins in her collection. She will collect 15 new coins every year. She collects

  coins for y years. For what values of y will Ally have at most 800 coins?

• B - Ally has 50 coins in her collection. She will collect 15 new coins every year. She collects

  coins for y years. For what values of y will Ally have at least 800 coins?

• C - Ally has 15 coins in her collection. She will collect 50 new coins every year. She collects

  coins for y years. For what values of y will Ally have at least 800 coins?

• D - Ally has 15 coins in her collection. She will collect 50 new coins every year. She collects

  coins for y years. For what values of y will Ally have at most 800 coins?

Tags

CCSS.7.EE.B.4B

What is the solution set for −3x – 9 ≤ 6?

• A

  x ≥ −5

• B

  x ≥ 5

• C

  x ≤ −5

• D

  x ≤ 5

Tags

CCSS.7.EE.B.4B

Wayne and Bob both have a book collection.

• The number of books in Wayne’s collection is represented by x.

• The number of books in Bob’s collection is four times the number in

Wayne’s collection.

• The total number of books in both collections is 125.

What is x, the number of books in Wayne’s collection?

• A

  100

• B

  20

• C

  25

• D

  105

Tags

CCSS.7.EE.B.4A

Which equation is true when m = 20?

• A

  −4m + 12 = −28

• B

  −10 − 5m = −30

• C

  m/2 - 3 = 7

• D

  m/4 + 1 = −7

Tags

CCSS.6.EE.B.5

Anna bought a soda for $2 and some candies for $. 75 each. Her

mother told her to spend at most $10. Which inequality can be used

to find c, the number of candies that Anna could have bought?

• A

  75c + 2 ≤ 10

• B

  75c − 2 ≤ 10

• C

  75c + 2 ≥ 10

• D

  75c − 2 ≥ 10

Tags

CCSS.7.EE.B.4B

A fitness club opens with 90 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

• y=15x

• y=15x+90

• y=x+15

• y=90x+15

Tags

CCSS.HSF-BF.A.1A