1 What is the equation of the line

1. What is the equation of the line that passes through (3, 2) and (0, – 5)? (written in slope-intercept form)

2. Use the graph to identify two consecutive integers between which a root lies.

3. Find the slope of the line that passes through (5, 6) and (2, 1).

4. Solve 6 r 2 – 14 r – 15 = 0 by using the Quadratic Formula. Round to the nearest tenth.

5. Find the coordinates of the vertex of the graph of y = 3 x 2 + 2 x.

6. Find the sixth term of the geometric sequence – 16, 40, – 100, ….

7. Write the slope-intercept form of an equation for the line that passes through (4, 0) and is parallel to the graph of 3 y – 6 x = 4.

8. Find (2 x – 1)(3 x + 2).

9. Which point lies on the line given by y = 2 x – 3?

10. What binomials are factors of 15 xt 2 – t – 6?

11. Write an equation in function notation for the relation.

12. Simplify 2 3 2 (mt )(m t)

13. If f(x) = x 2 + 4 x – 5, find f(– 8).

14. Solve the proportion

15. Write y – 11 = ½ (x – 12) in standard form.

16. Two-thirds of a number added to itself is 20. What is the number?

17. Wesley carves whistles out of wood and sells them at a gift shop. The equation C = 2 n + 15 models his weekly cost C of making n whistles. The equation R = 5 n models his weekly revenue R from selling n whistles. How many whistles must Wesley make and sell for his cost and revenue to be equal?

18. The student council is selling candy bars to earn money towards their budget for the school dance. Identify the independent and dependent variables.

19. Write a direct variation equation that relates x and y if y = 10 when x = 12.

20. Simplify .

21. The equation relates the temperature in degrees Fahrenheit F to degrees Celsius C. If the temperature is 25°C, what is the temperature in degrees Fahrenheit?

22. What number should be inserted into the table for the data to display exponential behavior?

23. Simplify 2 3 mt(2 m – 3 mt + 2 t ).

24. Completely factor 16 – 4 n.

25. Solve 2(5 x – 4) ≥ 7(x – 2).

26. Which ordered pair is not a solution of 4 x – 8 y ≥ 24?

27. Which equation is equivalent to 2 r 2 – 28 r + 38 = 0?

For Questions 28 and 29, use the arithmetic sequence 2, 5, 8, 11, . . 28. Which is an equation for the nth term of the sequence?

29. What is the 20 th term in the sequence?

30. Solve 2 x – 14 x + 49 = 64.

31. Armando collects baseball cards. He currently has 48 cards, and buys 5 new cards a week. How many cards will Armando have in 10 weeks?

32. If 3 x + 2 y = 9 and 3 x + 3 y = 6, what is the value of x?

33. Find (3 g 2 – g + 2 k) + (8 k – 5 g 2 + 7 g).