Algebra 1 End of Year Review

What are the domain and range of f(x) = -37?

• Domain: All real numbers greater than or equal to -37

  Range: All real numbers

• Domain: {-37}

  Range: All real numbers

• Domain: All real numbers

  Range: All real numbers greater than or equal to -37.

• Domain: All real numbers

  Range: {-37}

The daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled using a linear function. The plumber charges a fixed cost of $80 plus an additional cost of $45 per hour. The plumber works a maximum of 8 hours per day. For one day of work, what is the range of the function for this situation?

• 0 ≤ x ≤ 8

• 80 ≤ y ≤ 440

• 0 ≤ x ≤ 10

• 45 ≤ y ≤ 685

At a restaurant jars of tomato sauce are stored in boxes in the pantry. Each box contains 8 jars of tomato sauce. A cook used 2 jars from 1 of the boxes. Which function shows the relationship between y, the total number of jars of tomato sauce remaining in the pantry, and x, the number of boxes in the pantry?

• y = 8x + 6

• y = 8x

• y = 8x - 2

• y = 6x

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

• y + 7 = -3(x - 4)

• y + 1 = -3(x + 2)

• y - 4 = 3(x + 7)

• y - 2 = 3(x - 1)

The value of y varies directly with x. If x = 3, then y = 21. What is the value of x when y = 105?

• ⅗

• 1⅔

• 7

• 15

What is the equation in slope-intercept form of the line that passes through the point (2, -2) and is perpendicular to the line represented by y = ⅖x + 2?

• y = 5/2x - 7

• y = 5/2x + 7

• y = -5/2x - 3

• y = -5/2x + 3

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

• y = 6; slope is -1/6

• x = 6; slope is zero

• y = 6; slope is 6.

• x = 6; slope is undefined

What is the slope of the line that passes through the points (5, -11) and (-9, 17)?

• -2

• -1/2

• 7

• 2

The graph shows the linear relationship between the maximum area in square feet that can be painted and the number of gallons of paint used. Which of these best represents the rate of change of the maximum area painted with respect to the number of gallons of paint used?

• 200 ft²/gal

• 1/200 ft²/gal

• 400 ft²/gal

• 1/400 ft²/gal

The table shows the linear relationship between the balance of a student's savings account and the number of weeks he has been saving. Based on the table, what was the rate of change of the balance of the student's savings account in dollars and cents per week?

• $7

• $0.14

• $25

• $14