Chapter 10 Test
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Chapter 10 Test - Quadratic Equations and Inequalities
Take: 1 | 02/03/09
Directions: You have only one attempt for this chapter test.
If you have not completed the Thinkwell Exercises for this chapter, you are encouraged to do so by going to the "Course Home" section of this website and selecting the link to the appropriate chapter. Description: After completing the chapter 10 test, review for the final exam by studying chapters 1 through 10 and requesting the practice exam & solutions passwords. Once you are prepared for the final exam, request the password from your instructor. You will have one week from that point to complete it. The final exam can be accessed from the Resources section.
1) QID: 18469
What is the x-intercept for the function y = 2x2 – 7?
2) QID: 18472
Find the y-intercept(s) for the equation 3x2 + 2y = 32. Enter multiple answers in ascending order, separated by commas. If any number in the answer is not an integer, enter it as a fraction in simplest form.
3) QID: 19760
To solve the equation x2 + 6x = 1 by the technique of completing the square, you would add 9 to each side of the equation as one of the steps to reaching the solution.
4) QID: 19787
Solve for x. 6x2 + 13x = 5
None of the above
True False
5) QID: 19829
Solve for x: x2 + 8x + 16 = 25
5 or –5 4 or –4 1 or –9
6) QID: 19848
2 distinct real solutions 1 real solution 2 distinct complex solutions 1 real solution and 1 complex solution
7) QID: 19851
Use the quadratic formula to solve for x. –x2 – 7x + 3 = 0 None of the above
8) QID: 19952
Solve for y: 4y2 + 9x2 = –12xy
None of the above
9) QID: 19956
Solve for y: (y – 5)2 = 3 – x
10) QID: 19980
Suppose Harry travelled upstream in a canoe, then travelled downstream at a rate 4 miles per hour faster. In that case, the following are correct representations of his rates of speed: Rate upstream= r miles per hour Rate downstream= (r + 4) miles per hour
True False
11) QID: 19984
A family is moving to a new town. Jonathan leaves town first, driving the moving van. Marsha leaves town 1 hour later. If Marsha drives 15 mph faster than Jonathan and catches him 300 miles from town, how fast is she driving?
70 mph 65 mph 75 mph 60 mph
12) QID: 19991
After a punter kicks a football, its height s, in feet above the ground, is given by s = –16t2 + 20t + 1, where t is in seconds. How long will the football be in the air, to the nearest hundredth of a second? Enter only a number. Do NOT enter an equation. If the number is not an integer, enter it as a decimal where the last digit is not zero and there is a zero before the decimal point for values between –1 and 1. For example, if the answer is .2, 0.2 should be entered.
13) QID: 20004
In the right triangle shown below, the length of side x is 5.
True False
14) QID: 20012
Determine the value of x in the diagram below. 3 1
15) QID: 20013
Tony leaves his house and rides his bike due north at 12 mph. At the same time, Jake leaves the same house and rides due west at 5 mph. If they each maintain their initial speed, how far apart will they be after 2 hours of riding?
34 miles apart 26 miles apart 17 miles apart 13 miles apart
16) QID: 25057
Beginning with the function y = x2, which of the following shows the changes you would make so that the vertex lies at (2, – 4) and the parabola opens in a positive direction?
y = (x + 2)2 –4 y = (x – 2)2 –4 y = (x + 4)2 –2 y = –(x – 4)2 + 2 None of the above
17) QID: 25113
Find the vertex of the parabola y = 6x2 + 3x + 1 by completing the square.
None of the above
18) QID: 25159
Using the x intercepts, decide which of the following parabolas has the equation y = x2 + 8x – 9.
19) QID: 26960
The solutions to a certain quadratic equation are 3 and -3. Find the equation.
20) QID: 26967
Which is the solution set for the following equation?
{−2,−1}
{−2,1} None of the above
21) QID: 26974
0, 1 or 4 0, -1 or 4 1 or -4 -1 or 4
22) QID: 28087
Solve for x.
0 or 5 −5 or 5 −5 or 0 0 or 25 None of the above
23) QID: 28301
What real numbers are excluded from the domain of the following function?
x = –12/7 x=7 No real numbers are excluded.
24) QID: 28327
25) QID: 28323
True. False.
Take: 1 | 02/03/09
Directions: You have only one attempt for this chapter test.
If you have not completed the Thinkwell Exercises for this chapter, you are encouraged to do so by going to the "Course Home" section of this website and selecting the link to the appropriate chapter. Description: After completing the chapter 10 test, review for the final exam by studying chapters 1 through 10 and requesting the practice exam & solutions passwords. Once you are prepared for the final exam, request the password from your instructor. You will have one week from that point to complete it. The final exam can be accessed from the Resources section.
1) QID: 18469
What is the x-intercept for the function y = 2x2 – 7?
2) QID: 18472
Find the y-intercept(s) for the equation 3x2 + 2y = 32. Enter multiple answers in ascending order, separated by commas. If any number in the answer is not an integer, enter it as a fraction in simplest form.
3) QID: 19760
To solve the equation x2 + 6x = 1 by the technique of completing the square, you would add 9 to each side of the equation as one of the steps to reaching the solution.
4) QID: 19787
Solve for x. 6x2 + 13x = 5
None of the above
True False
5) QID: 19829
Solve for x: x2 + 8x + 16 = 25
5 or –5 4 or –4 1 or –9
6) QID: 19848
2 distinct real solutions 1 real solution 2 distinct complex solutions 1 real solution and 1 complex solution
7) QID: 19851
Use the quadratic formula to solve for x. –x2 – 7x + 3 = 0 None of the above
8) QID: 19952
Solve for y: 4y2 + 9x2 = –12xy
None of the above
9) QID: 19956
Solve for y: (y – 5)2 = 3 – x
10) QID: 19980
Suppose Harry travelled upstream in a canoe, then travelled downstream at a rate 4 miles per hour faster. In that case, the following are correct representations of his rates of speed: Rate upstream= r miles per hour Rate downstream= (r + 4) miles per hour
True False
11) QID: 19984
A family is moving to a new town. Jonathan leaves town first, driving the moving van. Marsha leaves town 1 hour later. If Marsha drives 15 mph faster than Jonathan and catches him 300 miles from town, how fast is she driving?
70 mph 65 mph 75 mph 60 mph
12) QID: 19991
After a punter kicks a football, its height s, in feet above the ground, is given by s = –16t2 + 20t + 1, where t is in seconds. How long will the football be in the air, to the nearest hundredth of a second? Enter only a number. Do NOT enter an equation. If the number is not an integer, enter it as a decimal where the last digit is not zero and there is a zero before the decimal point for values between –1 and 1. For example, if the answer is .2, 0.2 should be entered.
13) QID: 20004
In the right triangle shown below, the length of side x is 5.
True False
14) QID: 20012
Determine the value of x in the diagram below. 3 1
15) QID: 20013
Tony leaves his house and rides his bike due north at 12 mph. At the same time, Jake leaves the same house and rides due west at 5 mph. If they each maintain their initial speed, how far apart will they be after 2 hours of riding?
34 miles apart 26 miles apart 17 miles apart 13 miles apart
16) QID: 25057
Beginning with the function y = x2, which of the following shows the changes you would make so that the vertex lies at (2, – 4) and the parabola opens in a positive direction?
y = (x + 2)2 –4 y = (x – 2)2 –4 y = (x + 4)2 –2 y = –(x – 4)2 + 2 None of the above
17) QID: 25113
Find the vertex of the parabola y = 6x2 + 3x + 1 by completing the square.
None of the above
18) QID: 25159
Using the x intercepts, decide which of the following parabolas has the equation y = x2 + 8x – 9.
19) QID: 26960
The solutions to a certain quadratic equation are 3 and -3. Find the equation.
20) QID: 26967
Which is the solution set for the following equation?
{−2,−1}
{−2,1} None of the above
21) QID: 26974
0, 1 or 4 0, -1 or 4 1 or -4 -1 or 4
22) QID: 28087
Solve for x.
0 or 5 −5 or 5 −5 or 0 0 or 25 None of the above
23) QID: 28301
What real numbers are excluded from the domain of the following function?
x = –12/7 x=7 No real numbers are excluded.
24) QID: 28327
25) QID: 28323
True. False.
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