2 Mid-Chapter Quiz

Do you know HOW?

Determine whether each relation is a function.

1. x	y
   3	7
   4	2
   3	2
   5	1

2. x	y
   1	4
   2	3
   3	3
   4	4

Find the x- and y-intercepts of each line.

3. x − 3 y = 9 x minus , 3 y equals 9
4. y = 7 x + 5 y equals 7 x plus 5
5. y = 6 x y equals 6 x
6. − 4 x + y = 10 negative 4 x plus y equals 10

Write the equation of each line in slope-intercept form and identify the slope.

7. 2 x − y = 9 2 x minus y equals 9
8. 4 x = 2 + y 4 x equals 2 plus y
9. 5 y = − 3 x − 10 5 y equals negative 3 x minus 10
10. 4 x + 6 y = 12 4 x plus 6 y equals 12

Write an equation of each line in standard form with integer coefficients.

11. the line through (2, 3) and (4, 5)
12. the line through ( − 4 , 6 ) open negative 4 comma 6 close  and ( 2 , − 2 ) open 2 comma negative 2 close
13. the line through ( − 4 , 2 ) open negative 4 comma 2 close  with slope 3
14. the line through (1, 2) with slope 4 5 4 fifths
15. a line through (3, 1) with slope 0
16. a line with slope of 2 3 2 thirds  and y-intercept (0, 5)
17. 2 y = − 4 x − 12 2 y equals negative 4 x minus 12
18. 2 3 x + 3 = 6 y − 15 2 thirds , x plus 3 equals 6 y minus 15

Write an equation of each line in point-slope form.

19. ( − 4 , 2 ) open negative 4 comma 2 close  and ( − 3 , 5 ) open negative 3 comma 5 close
20. (0, 0) and ( − 4 , − 5 ) open negative 4 comma negative 5 close
21. ( − 4 , − 3 ) open negative 4 comma negative 3 close  and (2, 7)

Graph each equation.

22. 2 y = 4 x + 2 y equals 4 x plus  8
23. 2 x − 3 y = 6 2 x minus 3 y equals 6
24. 4 y − x = 16 4 y minus x equals 16

For each function, determine whether y varies directly with x. If so, identify the constant of variation.

25. 2 y = 3 x 2 y equals 3 x
26. 4 y − 7 x = 0 4 y minus 7 x equals 0
27. y + 3 4 x = 12 y plus , 3 fourths , x equals 12

Do you UNDERSTAND?

28. 1. A group of friends is going to the movies. Each ticket costs $8.00. Write an equation to model the total cost of the group's tickets.
    2. Graph the equation. Explain what the x- and y-intercepts represent.
    3. What would be the cost for 12 tickets?
    4. Writing Could the domain include fractions? Explain.
29. Which line is perpendicular to 3 x + 2 y = 6 ? 3 x plus 2 y equals 6 question mark
    1. 4 x − 6 y = 3 4 x minus 6 y equals 3
    2. y = − 3 2 x + 4 y equals negative , 3 halves , x plus 4
    3. 2 x + 3 y = 12 2 x plus 3 y equals 12
    4. y = 3 2 x + 1 y equals , 3 halves , x plus 1
30. Reasoning Why is the slope of a vertical line undefined?
31. Suppose m = 25 − 0.15 n m equals 25 minus , 0.15 , n  describes the amount of money remaining on a $25 phone card m, as a function of the number of minutes of calls you make n. What are a reasonable domain and range?

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