Question 1

The graph represents the function f(x) = 3x + 2.  What change would be seen if  f(x) + 4  were graphed?

Accepted Answer

The line shown on the graph would shift up 4 units.

Answer

The line shown on the graph would shift right  4 units.

Answer

The line shown on the graph would shift down 4 units.

Answer

The line shown on the graph would shift left  4 units.

Question 2

Amy is purchasing pizzas.  Let x represent the price of pepperoni pizzas and y represent the price of cheese pizzas.   She orders 2 pepperoni pizzas and 3 cheese pizzas and the total is $56.  Which equation represents the food order.

Accepted Answer

2x + 3y = 56

Answer

56 + 2y = 3x

Answer

3x + 2y = 56

Answer

x + y = 56

Question 3

Find the slope of the line that connects the following points   (-2, -3) and (-10, -9)

Accepted Answer

3/4

Answer

-1/2

Answer

1/2

Answer

-3/4

Question 4

Which function represents the correct SIMPLIFIED explicit function for this sequence?   {3, 9, 15, 21, 27, 33, ...}

Accepted Answer

f(n) = 6n - 3

Answer

f(n) = 6n + 10

Answer

f(n) = -6n - 3

Answer

f(n) = 6n - 10

Question 5

Write the following sequence in recursive form.  {21, 18, 15, 12, 9, ...}

Accepted Answer

f(n) = f(n-1) - 3

Answer

f(n-1) = f(n-1) - 3

Answer

f(n) = f(n-1) + 3

Answer

f(n-1) = f(n) - 3

Question 6

Which table of data has a constant rate of change?

Accepted Answer

A

Answer

B

Answer

C

Answer

C

Question 7

What is the inequality that represents the shaded area of the graph?

Accepted Answer

y <  3x - 2

Answer

y  <=  3x - 2

Answer

y >= 3x - 2

Answer

y  >  3x - 2

Question 8

What is the inequality that represents the graph?

Accepted Answer

2x  -  3y  >= 6

Answer

2x - 3y < 6

Answer

2x - 3y > 6

Answer

2x- 3y <= 6

Question 9

Part 1:  What function represents the amount of money you have remaining in your account each week.

Accepted Answer

y = 400 - 20x

Answer

y = 20 + 400x

Answer

y = 400 + 20x

Answer

y = 20 - 400x

Question 10

Part 2:  What is the average rate of change of the function? What does it mean in the context of the problem.

Accepted Answer

rate of change:  -20   It means you decrease your starting amount by $20 each week.

Answer

rate of change:  -20   It means you increase your starting amount by $20 each week.

Answer

rate of change:  20   It means you increase your starting amount by $20 each week.

Answer

rate of change:  400   It means you decrease your starting amount by $400 each week.

Question 11

Part 3:    What is the x-intercept and what does it mean in context of the problem?

Accepted Answer

x intercept:  20 weeks    Meaning:  After 20 weeks the y value is zero.  The x-intercept is where the y-value is zero.

Answer

x intercept:  20 weeks    Meaning: When x is zero, the y-value is 20.

Answer

x intercept:  20 weeks    Meaning:  After 20 weeks the y value is 400.

Answer

x intercept:  0 weeks    Meaning:  After 20 weeks the  x value is zero.

Question 12

Part 4:    What does the y-intercept mean in the context of the problem.

Accepted Answer

The y-intercept is the starting point.  The starting point in this problem is the beginning amount in his bank account $400.

Answer

The y-intercept is the starting point.  The starting point in this problem is the beginning amount in his bank account $20.

Answer

The y-intercept is the rate of change in the problem which is $20.

Answer

The y-intercept is the rate of change in the problem which is -$20.

Question 13

What is the correct domain and range in the context of this problem?

Accepted Answer

Domain: 0 ≤ x ≤ 20    Range:  0 ≤ y ≤ 400

Answer

Domain:  0 ≤ x ≤ 20   Range: 0 ≤ y ≤ 200

Answer

Domain: $0 ≤ y ≤ 400 Range:  0 ≤ x ≤ 20

Answer

Domain:  0 ≤ y ≤ 20  
 Range:  0 ≤ x ≤ 400

Question 14

Which function has the greater rate of change?

Accepted Answer

The one on the left because it has a slope of 50 and the one on the right has a slope of 20.  The one on the left has a greater rate of change.

Answer

The one on the left because it has a slope of 3 and the one on the right has a slope of 20.  The one on the left has a greater rate of change.

Answer

The one on the right because it has a slope of 20  and the one on the right has a slope of 3.  The one on the left has a greater rate of change.

Answer

The one on the left because it has a slope of  150 and the one on the right has a slope of 20.  The one on the left has a greater rate of change.

Question 15

What is the average rate of change of the graph on the interval x = 1 and 3?

Accepted Answer

-2

Answer

-3

Answer

2

Answer

3

Question 16

Find the equation for the line that goes through (3, 1) and (6, 7).

Accepted Answer

y = 2x - 5

Answer

y = 2x + 3

Answer

y = 2x + 5

Answer

y = -2x - 5

Question 17

The sales history for the last 7 years for a company is shown in the table.  Using your calculator perform a linear regression to find a line of best fit for the data.  Which function represents the best line of fit?

Accepted Answer

f(x) = 17.93x + 6.29

Answer

f(x) = 20.23x - 3.12

Answer

f(x) = 19.12x + 7.12

Answer

f(x) = 15.23x + 3.32

Question 18

In the previous problem, you came up with a line of best fit.  What does the coefficient of x represent in the scenario.

Accepted Answer

It is the slope and the rate of change in sales each year in thousands of dollars per year.

Answer

It is the starting point and is the y-intercept.

Answer

It is the slope and rate of change in years.

Answer

It is the rate of change or slope.  It is a measure of how many weeks pass as they sell more product.

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