Linear Functions and Word Problems Test Review

Which data set does not represent a directly proportional relationship between the two quantities?

• (2, 6); (4, 12); (8, 24); (10, 30)

• (20, 4); (30, 6); (45, 9); (50, 10)

• (3, 6); (4, 8); (9, 18); (10, 20)

• (4, 6); (6, 8); (16, 18); (18, 20)

Write the equation of the horizontal line that contains the point (-3, 5).

• x = -3

• y = 5x

• y = 5

• y = -3x + 5

Write the equation of the vertical line that contains the point (-3, 5).

• x = -3

• y = 5x

• y = 5

• y = -3x + 5

For six hours a day Mrs. Lewis bakes cakes at a local bakery. She must record the number of cakes she has baked during the day on a time card. The graph below shows the number of cakes she had baked at various times during the day Monday.  How would the graph change if her data for Tuesday showed she baked 40 cakes that day?

• The graph would not change.

• The graph would not be as steep.

• The graph would be steeper.

• The graph would have a larger y-intercept. 

Find the slope of the line y = -2.

• m = 0

• m = -2

• m = undefined

• m = 1

The value of y varies directly with x.  Which function represents the relationship between x and y if y = 20/3 when x = 30?

• y = 200x

• y = 2/9x

• y = 110/3x

• y = 9/2x

Match

• y > -4/5x - 1 and y ≤ 2/3x + 3

• y ≥ -4/5x - 1 and y ≤ 2/3x + 3

• y < -4/5x - 1 and y < 2/3x + 3

• y < -4/5x - 1 and y ≥ 2/3x + 3

A group of friends will buy at most 8 snacks at the movie theater and spend no more than $42.  They will pay $4 for each box of candy and $7 for each tub of popcorn.  The system of inequalites that represents the situation is:
x + y <= 8 
4x + 7y <= 42 
Which combination of candy and popcorn can the group buy? 

• 2 boxes of candy and 6 bags of popcorn 

• 3 boxes of candy and 4 bags of popcorn

• 5 boxes of candy and 4 bags of popcorn

• 8 boxes of candy and 1 bags of popcorn

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
 (-2, -1); m= -3

• y + 1 = -3(x - 2)

• y + 1 = -3(x + 2)

• y - 1 = 3(x - 1)

• y + 2 = -3(x + 1)

Write the equation below in standard form
y = 2/3 x +5

• -2/3x+y=5

• -4x+6y=15

• 2x-3y=-15

• -2x+3y=15