Applying Linear Relationships - Quiz

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1. The value of y varies directly with x. If x = 104, then y = 78. What is the value of x when y = 39?

• A. 29.25
• B. 52
• C. 69. ̅3
• D. 58

2. The distance that Jacobi’s remote-controlled car travels is directly proportional to the driving time in seconds. If Jacobi’s car travels 416 cm in 13 seconds, find the total distance in cm the car will travel in 20 seconds.

3. Nia graphed the line x = -6. Which of the following statements is NOT true?

• A. The line will be parallel to the y-axis.
• B. The line will be perpendicular to the x-axis.
• C. The line has a slope of zero.
• D. Nia drew a vertical line passing through the point (-6, 4).

4. The linear functions f and h are shown on the graph. Which function is represented by the graph of h?

• A. h(x) = f(x) + 6
• B. h(x) = f(x) − 6
• C. h(x) = 6f(x)
• D. h(x) = 6 − f(x)

5. Cedric graphed the parent function f(x) = x and a new function g(x) on the same grid. If f(x) was shifted 6 units left to create g(x), which of the following is a true statement?

• A. The function g(x) can be represented by g(x)= f(x − 6).
• B. The function g(x) has the same y-intercept as f(x).
• C. The function g(x) will intersect f(x) at the point (0, -6).
• D. The function g(x) has the same slope as f(x).

6. Which equation is perpendicular to the following line and has a y-intercept of -11.

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7. Function f was transformed using af(x) to create function p as shown below. Find the value of a.

8. Write the equation, in slope-intercept form, of the line parallel to the following line that passes through the point (9, 0).