Determine Linear Functions

8v - 4(v + 8) = 8

• 2

• 10

• 4

• -4 

Which equation below would give you the answer no solution?

• 3x + 3 = 3x + 3

• 3x + 3 = 6x + 6

• 3x + 3 = 3x + 2

• 3x + 3 = 0

The table shows some values for a linear function. A second linear function passes the y-axis at the point (0, 4) and has a slope of 1 4 . Where do the two functions intersect?

• (5,3)

• (8,6)

• (1,-1)

• The two functions do not intersect.

Two linear functions are created. The first linear function is represented by the graph shown. The second linear function has the equation y = 2x – 6. Which statement best describes the difference between the values of the two functions at x = 8?

• The value of the first linear function is 1 greater than the value of the second linear function

• The value of the first linear function is 14 greater than the value of the second linear function.

• The value of the second linear function is 4 greater than the value of the first linear function.

• The value of the second linear function is 10 greater than the value of the first linear function.

A system of equations is shown. What is the solution to the system of equations?

• (3, 12)

• (5, 1.25)

• all real numbers

• no solution

A company takes care of cats and dogs overnight when their owners are out of town. The company charges $18 per cat per night and $30 per dog per night. On Saturday night, the company took care of a total of 16 cats and dogs. The system of equations shows the total amount the company charged on Saturday night for the number of cats, x, and the number of dogs, y, that were taken care of.

How many cats did the company take care of on Saturday night?

• 4

• 5

• 8

• 12

A system of equations is shown. What is the value of y in the solution to the system of equations?

• y=3

• y=4

• y=5

• y=6

The linear function y = 14x + 22 represents the cost in dollars, y, to camp at a park for x nights. What is most likely represented by the y-intercept of the function?

• the number of nights spent camping

• the cost per night to camp at the park

• the number of people camping

• the cost of a one-time fee for a camping permit

The cost for a pizza at Pizza Palace depends on the size of the pizza and the number of toppings. For a large pizza, the cost in dollars, c, with t number of toppings can be determined with the equation c = 2t + 18. What does 2 represent in the equation?

• the radius of a large pizza in inches

• the cost to add one topping to a large pizza

• the cost of a large pizza without any toppings

• the number of toppings on a large pizza with a cost of $18

What does 'b" represent in y=mx+b

• y-intercept

• macaroni

• nothing

• slope