For the direct variation described below, find the constant of variation. Then find the value of y when x = -3.
y = 4 \ \ when \ \ x = 3
3
-3
\frac{3}{4}
4
\frac{4}{3}
-4
Constant of variation
The value of y when x = -3
7 points
7
Question 2
2.
Using Direct Variation (Lesson 2-2)
For the direct variation described below, find the constant of variation. Then find the value of y when x = -3.
y =-5 \ \ when \ \ x = \frac{3}{2}
\frac{15}{2}
15
-\frac{3}{10}
-\frac{9}{2}
10
-\frac{10}{3}
2
Constant of variation
The value of y when x = -3
9 points
9
Question 3
3.
Factoring Quadratic Expressions (Lesson 4-4)
Factor each expression on the right and collect all of its factors from the list on the left.
You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.
(4x+1)
(x-3)
x
(2x-5)
(x+5)
(x+3)
(x+3)
(x-2)
x^{2}-9
x^{2}+3x-10
4x^{2}-7x-2
2x^{2}-5x
x^{2}+6x+9
10 points
10
Question 4
4.
Solving Quadratic Equations (Lesson 4-5)
Solve the equation by factoring.
x^{2}+7x+12=0
Select all that apply.
10 points
10
Question 5
5.
Solving Quadratic Equations (Lesson 4-5)
Solve the equation by graphing.
x^{2}-5x+6=0
Graph the related 2-variable quadratic equation at desmos.com.
Zoom and pan to establish an appropriate viewing window.
Click to label both x-intercepts. Remember that the x-coordinates of the x-intercepts are the solutions of the original equation.
Capture a screenshot of your graph and upload or paste it to the Formative canvas.
10 points
10
Question 6
6.
Solving Quadratic Equations (Lesson 4-5)
Solve the equation by using the quadratic formula. Show all of your work on the canvas.
You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.
x^{2}+7x-8=0
Select all that apply.
10 points
10
Question 7
7.
If you need to drive 30 miles, you have many options. For instance, you can drive 15 miles per hour for 2 hours, 30 miles per hour for 1 hour, or 60 miles per hour for half an hour. Notice that when you double your speed, it takes half as much time to get to your destination.
Mathematicians describe this kind of relationship as inverse variation. Why do you suppose they use the word inverse to describe it?
10 points
10
Question 8
8.
Suppose you are hiking on a trail and find that the bridge over the river has been washed out, making a gap or discontinuity in the trail.
Sketch what you think a graph with a discontinuity might look like. Use contrasting colors.
