Practice Final Apex Unit 3 Linear Functions (1st semester)

Function A is a linear function that goes through the points shown in the table.

Function B is represented by the equation y = 4x -3

• The rate of change of function A is 5. The rate of change for function B is -3.

• The rate of change of function A is 10. The rate of change for function B is 4.

• The rate of change of function A is 5. The rate of change for function B is 4.

• The rate of change of function A is 10. The rate of change for function B is -3.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Which statement correctly compares the function shown on this graph with the function y = x + 2

• The function shown on the graph has a greater rate of change and a higher starting point.

• The function shown on the graph has a greater rate of change but a lower starting point.

• The function shown on the graph has a smaller rate of change and a higher starting point.

• The function shown on the graph has a smaller rate of change but a lower starting point.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Train A is traveling south at a steady speed of 60 miles per hour. After 2 hours, it is 170 miles south of Hillsboro.

Train B is traveling south on a parallel track. Its distance south of Hillsboro is represented by the graph.

Where were the two trains in relation to each other when they began traveling?

• Train B was 40 miles south of Train A.

• Train A was 40 miles south of Train B.

• Train A was 20 miles south of Train B.

• Train B was 30 miles south of Train A.

Tags

CCSS.8.EE.C.8C

Two hot air balloons are traveling along the same path away from a town,beginning from different locations at the same time.

Jack's balloon begins 21 miles from the town and is 51 miles from town after 2 hours.

The distance of Jill's balloon from the town is represented by the function y = 6x+5

• Jack's balloon was farther from the town at the beginning, and it balloon traveled more quickly.

• Jill's balloon was farther from the town at the beginning, and it balloon traveled more quickly.

• Jack's balloon was farther from the town at the beginning, but Jill's balloon traveled more quickly.

• Jill's balloon was farther from the town at the beginning, but Jack's balloon traveled more quickly.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Identify the slope and y-intercept of the function y = 6x -9

• The slope is 6.

  The y-intercept is (0 ,-9 )

• The slope is -9.

  The y-intercept is (0 , 6)

• The slope is 6.

  The y-intercept is (0 9, )

• The slope is 9.

  The y-intercept is (0 ,6 )

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

An airplane flies across the country. Its distance from Seattle, as a function of time, is modeled by y = 600x.

Which statement best describes the function?

• The function is nonlinear.

• The function is linear.

• The function is linear at some points and nonlinear at other points.

• Not enough information is given to decide.

Tags

CCSS.8.F.A.3

Does this table represent a linear function?

• Yes, there is a constant rate of change.

• No, there is not a constant rate of change.

Tags

CCSS.HSF-LE.A.1B

There were 250 liters in the tank when the leak started, and it is decreasing by 5 liters per minute.

Select the equation that matches the description.

• y = 5x + 250

• y = 250x + 5

• y = -250x + 5

• y = -5x + 250

Tags

CCSS.6.EE.C.9

A linear function contains the following points.

(-2, 1) and (0, 5)

What are the slope and y-intercept of this function?

• The slope is -2.

  The y-intercept is (0 ,5 ).

• The slope is 2.

  The y-intercept is (0, 5 ).

• The slope is -1/2.

  The y-intercept is (0 , 5).

• The slope is 1/2.

  The y-intercept is (5, 0).

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Identify the function shown in the graph.

• y = 4x -1

• $y\ x\ -\frac{1}{4}x\ -1$

• y = -4x + 1

• y = -4x - 1

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2