Equations, Inequalities, Relationships

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

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?

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

  second.

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

  second.

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

  second.

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

  second.

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?

• 500m + 50 > 800

• 50m + 500 > 800

• 500m + 50 < 800

• 50m + 500 < 800

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

• x ≥ −5

• x ≥ 5

• x ≤ −5

• x ≤ 5

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

Which equation is true when m = 20?

• −4m + 12 = −28

• −10 − 5m = −30

• m/2 - 3 = 7

• m/4 + 1 = −7

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

Write an equation: The total cost of renting a car is $65 for deposit and $37.50 per day.

• x = 65 + 37.50 y

• y = 65 x + 37.50

• y= 92.50x

• y= 37.50 x + 65

A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service.

• C = 50h + 25

• C = 25h + 50

• C = 50h - 25

• H = 25h - 50

What inequality does the number line graph represent?

• x ≥ 3

• x > 3

• x < -3

• x ≤ 3