West Valley College Algebra Questions

MyOpenMath12/3/21, 8:28 AM
Practice Quiz Chapter 9
Question 1
Neeti Mittal
0/1 pt
2
Question
1
Find all solutions, real or non-real of the equation.
2
(6x − 8) + 37 = 8
x=
Fully simplify your solutions and separate multiple solutions with commas.
Question Help:
Video
Question 2
0/1 pt
2
Question
1
Solve the quadratic equation by completing the square: z 2 − 6z − 36 = − 89
Give the equation after completing the square, but before taking the square root. Your answer should
2
look like: (z − a) = b
The equation is:
Give all solutions to the equation, including any non-real solutions. The solutions are: z =
Solve the quadratic equation by completing the square: t2 − 6t − 45 = − 10
Give the equation after completing the square, but before taking the square root. Your answer should
2
look like: (t − a) = b
The equation is:
Give all solutions to the equation, including any non-real solutions. The solutions are: t =
Question Help:
Video
Question 3
https://www.myopenmath.com/assess2/?cid=116688&aid=8363158#/print
0/1 pt
2
Page 1 of 5
MyOpenMath
12/3/21, 8:28 AM
2
Question
1
The equation 3m − 1m − 10 = 0 has solutions of the form
m=
N ± √D
M
(A) Use the quadratic formula to solve this equation and find the appropriate integer values of N ,M
,and D. Do not worry about simplifying the √D yet in this part of the problem.
N =
;D=
M =
(B) Now simplify the radical and the resulting solutions. Enter your answers as a list of integers or
reduced fractions, separated with commas. Example: -5/2,-3/4
m=
Question Help:
Video
Question 4
0/1 pt
2
Find all solutions of the equation x2 − 2x + 76 = 0 by using the quadratic formula.
Question
1
x=
Hint: Reduce radicals, no decimal approximations.
Question Help:
Video
Question 5
0/1 pt
Solve and Check: x
2/3
2
Question
1
− 3×1 / 3 = − 2
If there are multiple solutions, separate them using commas. Click No solution if there are no solutions.
No solution
Question Help:
Video
Question 6
https://www.myopenmath.com/assess2/?cid=116688&aid=8363158#/print
0/1 pt
2
Page 2 of 5
MyOpenMath
12/3/21, 8:28 AM
The base of a triangle is 3 meters longer than the height of the triangle. If the area of the triangle is 44 Question
square meters, what are the base and height of the triangle?
The height is
The base is
meters
meters
Question Help:
Video 1
Video 2
Question 7
0/1 pt
2
An object is thrown upward at a speed of 88 feet per second by a machine from a height of 4 feet off
the ground. The height h of the object after t seconds can be found using the equation
Question
1
h = − 16t2 + 88t + 4
When will the height be 31 feet?
Select an answer
When will the object reach the ground?
Select an answer
Question Help:
Video
Question 8
0/1 pt
2
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is
given by h(t) = − 4.9t2 + 340t + 199. For each of the answers below, put your numerical answer,
rounded to 1 decimal place, in the first box and the units, spelled out completely, in the second box.
Question
1
How long does it take until the rocket reaches its maximum height?
What is the maximum height reached by the rocket?
Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?
Question Help:
Video
https://www.myopenmath.com/assess2/?cid=116688&aid=8363158#/print
Page 3 of 5
MyOpenMath
12/3/21, 8:28 AM
Question 9
0/1 pt
2
Fill in the info below, and graph on your own paper. Then graph the parabola on the axes below by first
clicking on the vertex, and then on another point close to the vertex that fits on the axes. You may not
be able to click on an x or y intercept.
Question
1
y = x2 − 10x + 24
1. State whether the parabola opens up or down?
Down
Up
2. State the vertex as an ordered pair:
3. State the y-intercept as an ordered pair:
4. Write the Equation of the Axis of Symmetry:
5. Click on the vertex and then another point of the parabola that fits on the axes below.
10
9
8
7
6
5
4
3
2
1
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-1
1
2
3
4
5
6
7
8
9 10
-2
-3
-4
-5
-6
-7
-8
-9
-10
Question Help:
Video
https://www.myopenmath.com/assess2/?cid=116688&aid=8363158#/print
Page 4 of 5
MyOpenMath
12/3/21, 8:28 AM
Question 10
0/1 pt
Consider the quadratic function f(x) = 9×2 − 1.
2
Question
1
Its vertex is
The x-intercepts are
The y-intercept is
Question Help:
Video
Question 11
0/1 pt
2
Question
1
Solve:
x2 + 3x > 4
x∈
(Enter your answer in INTERVAL notation, using U to indicate a
union of intervals; or enter DNE if no solution exists)
Question Help:
Video
Written Example
https://www.myopenmath.com/assess2/?cid=116688&aid=8363158#/print
Page 5 of 5