Algebra Quiz - Twinsburg



Algebra I

4.5-4.6 Worksheet

Name__________________________________ Block _____Date__________________

For questions 1 – 3 tell whether the following represents a direct variation. If so, identify the constant of variation.

1. [pic] 2. [pic] 3.

4. The value of y varies directly with x, and [pic] when x = 3. Find y when x = 1.

5. The equation [pic] relates the length of a videotape in inches x to its approximate playing time in seconds y. Is this a direct variation relationship? Explain.

Each ordered pair is a solution of a direct variation. Write the equation of direct variation. Hint: Don’t forget your direct variation formulas

6. (2, 10) 7. (8, 2)

8. Weight varies directly with gravity. A Mars lander weighed 767 pounds on Earth but 291 pounds on Mars. Its accompanying Mars rover weighed 155 pounds on Mars. How much did it weigh on Earth? Round your answer to the nearest pound.

Graph each line given the slope and the y- intercept.

9. slope = [pic]; y-intercept = 7 10. m = 1, b = -4

Find the slope of each line.

Write the equation that describes each line in slope-intercept form.

11. 12. slope = [pic]; y – intercept = 2

13. slope = [pic]; (6, 4) is on the line.

Write each equation in slope-intercept form. Then graph the line described by the equation.

14. [pic] 15. [pic] 16. [pic]

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