Linear Equations

What are the equation and slope of the line shown on the grid?

• y = 2; slope is -½

• x = 2; slope is zero

• y = 2; slope is 2

• x = 2; slope is undefined

Tags

CCSS.8.EE.B.5

What is the slope of the line that passes through the points (2, -8) and (-6, 16)?

• -3

• -⅓

• 6

• 3

Tags

CCSS.8.EE.B.5

The graph of 4x - 2y = -8 is shown on the grid. Which ordered pair is in the solution set of 4x - 2y ≥ -8?

• (0,6)

• (-2, 0)

• (-2, 2)

• (-6, 0)

The daily cost of hiring an electrician, y, to work x hours on a repair project can be modeled using a linear function. The electrician charges a fixed cost of $50 plus an additional cost of $35 per hour. The electrician works a maximum of 6 hours per day. For one day of work, what is the range of the function for this situation?

• 0 ≤ x ≤ 6

• 50 ≤ y ≤ 260

• 0 ≤ x ≤ 8

• 35 ≤ y ≤ 335

In an elementary school cafeteria cartons of milk are stored in boxes in the fridge. Each box contains 12 cartons of milk. For breakfast the lunch lady only used 5 cartons from 1 of the boxes. Which function shows the relationship between y, the total number of cartons of milk remaining in the fridge, and x, the number of boxes in the fridge?

• y = 12x + 7

• y = 12x

• y = 12x - 5

• y = 7x

Tags

CCSS.HSF-BF.A.1A

The graph of a linear function is shown on the grid. Which equation is best represented by this graph?

• y + 4 = -2(x - 3)

• y - 2 = -2(x + 2)

• y - 3 = 2(x + 4)

• y + 2 = 2(x - 2)

The value of y varies directly with x. If x=4, then y=28. What is the value of x when y=140?

• ⅘

• 1 ¼

• 7

• 20

What is the equation in slope-intercept form on the line that passes through the point (6, -7) and is perpendicular to y = ⅔x + 1?

• y = 3/2x - 16

• y = 3/2x + 16

• y = -3/2x - 2

• y = -3/2x + 2

The graph shows the linear relationship between the distance traveled and the time taken. Which of these best represents the rate of change of the distance traveled with respect to the amount of time taken?

• 80 mi/hr

• 1/80 mi/hr

• 40 mi/hr

• 1/40 mi/hr

Tags

CCSS.HSF.IF.B.4

The graph of linear functions f and g are shown on the grid. Which function is best represented by the graph of g?

• g(x) = f(x) - 2

• g(x) = 2 f(x)

• g(x) = f(x) + 2

• g(x) = ½ f(x)