1. Which of the following equations represents the graph of a line that is parallel to the graph of y=-ax+b and goes through the point (-1,2)?
a. y+2=-a(x-1)
b. y-2=-a(x+1)
c. y+2=(1/a)(x-1)
d. y-2=(1/a)(x+1)
2. Determine the slope of the line -3x+6y=2
a. 1/2
b. -1/2
c. 2
d. -2
e. none
3. Determine the x-intercept for the line 2x-7y=14
a. (7,0)
b. (-7,0)
c. (2,0)
d. (-2,0)
e. none
4. The line L1 passes through the points (-2,6) and (10,2) and L2 passes through the points (-3,5) and (0,6) L1 AND L2 are
a. parallel
b. perpendicular
c. neither
5. Find an equation for a line passing through the point (0,4) and perpendicular to the line 5x+2y=3. You may write your answer in any of the three forms: point-slope, slope-intercept, or standard form
Use the following situation to answer the following questions:
Susie leaves to go shopping driving 45 miles per hour toward the Happy Shopper Grocery Store. Susie is originally 20 miles due west of the store. Sammie leaves for the Happy Shopper Grocery Store at the same time driving 50 miles per hour on the same road but she is 25 miles due east
6. Who reaches the store first? By how much time? Round to the nearest hundredth if needed.
7. If they keep driving and do not stop at the store, how long will it take for them to pass on the road? Where relative to the store is this. Round the time to the nearest thousandth and the distance to the nearest tenth if needed.
Use the following situation to answer the questions that follow:
A ball is thrown up in the air, and it's height (in feet) as a function of time (in seconds) can be written as h(t)=-16t^2+32t+6
8. What is the y-intercept and what does it mean?
9. When is the ball at it's maximum height? Round to the nearest hundredth if needed.
10. What is the maximum height of the ball? Round to the nearest tenth if needed.
11. Describe in detail two ways to find the maximum height reached by the ball.
Use y=3x^2+18x-2 to answer the following questions:
12. What is the vertex?
13. (1,19) is a point on the graph. What point is the reflection of (1,19) across the axis of symmetry of the parabola?
14. What are two different ways that you may find the zeros of a quadratic function? State whether or not each method will work with all quadratic functions.
15. If k is a non-zero constant, determine the vertex of the function y=x^2-2kx+3 in terms of k
a. (k, k^2-2k+3)
b. (-k, -k^2+3)
c. (-k, k^2+2k+3)
d. (k, -k^2+3)
e. none
16. If a is a non-zero constant, determine the vertex of y=-3(x+a)^2-6
a. (a, -6)
b. (-a, -6)
c. (a, 6)
d. (-a, 6)
e. none
17. Factor and solve 2x^2+x-10=0. Show the result of your factoring below and then show the values of x that you obtain when you solve.
18. Solve by graphing 3x^2+5x-2=15. Find the x-values and round each result to the nearest thousandth.
a. y+2=-a(x-1)
b. y-2=-a(x+1)
c. y+2=(1/a)(x-1)
d. y-2=(1/a)(x+1)
2. Determine the slope of the line -3x+6y=2
a. 1/2
b. -1/2
c. 2
d. -2
e. none
3. Determine the x-intercept for the line 2x-7y=14
a. (7,0)
b. (-7,0)
c. (2,0)
d. (-2,0)
e. none
4. The line L1 passes through the points (-2,6) and (10,2) and L2 passes through the points (-3,5) and (0,6) L1 AND L2 are
a. parallel
b. perpendicular
c. neither
5. Find an equation for a line passing through the point (0,4) and perpendicular to the line 5x+2y=3. You may write your answer in any of the three forms: point-slope, slope-intercept, or standard form
Use the following situation to answer the following questions:
Susie leaves to go shopping driving 45 miles per hour toward the Happy Shopper Grocery Store. Susie is originally 20 miles due west of the store. Sammie leaves for the Happy Shopper Grocery Store at the same time driving 50 miles per hour on the same road but she is 25 miles due east
6. Who reaches the store first? By how much time? Round to the nearest hundredth if needed.
7. If they keep driving and do not stop at the store, how long will it take for them to pass on the road? Where relative to the store is this. Round the time to the nearest thousandth and the distance to the nearest tenth if needed.
Use the following situation to answer the questions that follow:
A ball is thrown up in the air, and it's height (in feet) as a function of time (in seconds) can be written as h(t)=-16t^2+32t+6
8. What is the y-intercept and what does it mean?
9. When is the ball at it's maximum height? Round to the nearest hundredth if needed.
10. What is the maximum height of the ball? Round to the nearest tenth if needed.
11. Describe in detail two ways to find the maximum height reached by the ball.
Use y=3x^2+18x-2 to answer the following questions:
12. What is the vertex?
13. (1,19) is a point on the graph. What point is the reflection of (1,19) across the axis of symmetry of the parabola?
14. What are two different ways that you may find the zeros of a quadratic function? State whether or not each method will work with all quadratic functions.
15. If k is a non-zero constant, determine the vertex of the function y=x^2-2kx+3 in terms of k
a. (k, k^2-2k+3)
b. (-k, -k^2+3)
c. (-k, k^2+2k+3)
d. (k, -k^2+3)
e. none
16. If a is a non-zero constant, determine the vertex of y=-3(x+a)^2-6
a. (a, -6)
b. (-a, -6)
c. (a, 6)
d. (-a, 6)
e. none
17. Factor and solve 2x^2+x-10=0. Show the result of your factoring below and then show the values of x that you obtain when you solve.
18. Solve by graphing 3x^2+5x-2=15. Find the x-values and round each result to the nearest thousandth.
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