The formula for the rate at which water is flowing is R=\frac{V}{t}, where
R is the rate
V is the volume of water measured in gallons (g), and
t is the amount of time, in seconds (s), for which the water was measured.
Select an appropriate measurement unit for the rate.
Emily is solving the equation 2(x+9) = 4(x+7)+2. Her steps are shown.
Part A
Select the first step in which Emily made an error.
Part B
Select the solution to Emily's original equation.
Required
1 point
1
Question 12
12.
Part A
Required
1 point
1
Question 13
13.
Part B
Required
1 point
1
Question 14
14.
A store sells used and new video games. New video games cost more than used video games. All used video games cost the same. All new video games also cost the same.
Omar spent a total of $84 on 4 used video games and 2 new video games. Sally spent a total of $78 on 6 used video games and 1 new video game. Janet has $120 to spend.
Enter the number of used video games Janet can purchase after she purchases 3 new video games.
Required
1 point
1
Question 15
15.
Shade the region of the graph that contains the solution set of the system of linear inequalities.
Required
1 point
1
Question 16
16.
Use the circle below to answer the question.
The circle is centered at point C. Line segment PQ is parallel to SR. What is the measure of angle QPS?
Required
1 point
1
Question 17
17.
Choose the ordered pair that is a solution to the equation represented by the graph.
Required
1 point
1
Question 18
18.
Consider this solution to a problem.
Problem: -4(6-y)+4=-4
Step 1: -24-4y+4=-4
Step 2: -20-4y=-4
Step 3: -4y=16
Step 4: y=-4
In the first response box, enter the number of the step where the mistake is made.
_______
In the second response box, enter the correct solution to the problem.
_______
Required
1 point
1
Question 19
19.
Consider a sequence whose first five terms are: -1/75, -0.5, 0.75, 2, 3.25
Which function (with domain all integers n \geq 1) could be used to define and continue this sequence?
Required
1 point
1
Question 20
20.
Write an expression equivalent to \frac{b^{11}}{b^4} in the form b^m.
Required
1 point
1
Question 21
21.
Nina has some money saved for a vacation she has planned.
The vacation will cost of total of $1600.
She will put $150 every week into her account to help pay for the vacation.
She will have enough money for the vacation in 8 weeks.
If Nina was able to save $200 a week instead of $150 a week, how many fewer weeks would it take her to save enough money for the vacation?
Required
1 point
1
Question 22
22.
Consider parallelograms ABCD with point X at the intersection of diagonal segments AC and BD.
Evelyn claims that ABCD is a square. Select all statements that must be true for Evelyn's claim to be true.
Required
2 points
2
Question 23
23.
A student earns $7.50 per hour at her part-time job. She wants to earn at least $200.
Enter an inequality that represents all of the possible numbers of hours (h) the student could work to meet her goal. Enter your response in the first response box.
_______
Enter the least whole number of hours the student needs to work in order to earn at least $200. Enter your response in the second response box.
_______
Required
1 point
1
Question 24
24.
Michael took 12 tests in his math class. His lowest test score was 78. His highest test score was 98. One the 13th test, he earned a 64. Categorize whether the value of each statistic for his test scores increased, decreased, or could not be determined when the last test score was added.
Standard Deviation
Median
Mean
Increased
Decreased
Could Not Be Determined
Required
1 point
1
Question 25
25.
Emma is standing 10 feet away from the base of a tree and tries to measure the angle of elevation to the top. She is unable to get an accurate measurement, but determines that the angle of elevation is between 55 degrees and 75 degrees.
Determine whether each value given is a reasonable estimate for the tree height. Categorize each height as Reasonable or Not Reasonable.
4.2 feet
14.7 feet
24.4 feet
33.9 feet
39.1 feet
58.7 feet
Reasonable
Not Reasonable
Emily has a gift certificate for $10 to use at an online store. She can purchase songs for $1 each or episodes of TV shows for $3 each. She wants to spend exactly $10.
Required
1 point
1
Question 26
26.
Part A
Create an equation to show the relationship between the number of songs, x, Emily can purchase and the number of episodes of TV shows, y, she can purchase.
______ x + ______ y = _______
Other Answer Choices:
1
6
0
9
5
8
10
2
7
4
3
Required
1 point
1
Question 27
27.
Part B
Plot all possible combinations of songs and TV shows Emily can purchase.
Required
1 point
1
Question 28
28.
Consider this right triangle.
Determine whether each expression can be used to find the length of side RS.
Categorize each expression as Yes of No.
35\cdot \sin(R)
21\cdot \tan(T)
35\cdot \cos(R)
21\cdot \tan(R)
Yes
No
Required
1 point
1
Question 29
29.
Given the function y=3{x^2}-12x+9,
Plot a point on the coordinate grid to show each x-intercept of the function.
Plot a point on the coordinate grid to show the minimum value of the function.
Required
1 point
1
Question 30
30.
Mike earns $6.50 per hour plus 4% of his sales.
Enter an equation for Mike's total earnings, E, when he works x hours and has a total of y sales, in dollars.
Required
1 point
1
Question 31
31.
The basketball team sold t-shirts and hats as a fund-raiser. They sold a total of 23 items and made a profit of $246. They made a profit of $10 for every t-shirt they sold and $12 for every hat they sold.
Determine the number of t-shirts and the number of hats the basketball team sold.
Enter the number of t-shirt in the first response box.
_______
Enter the number of hats in the second response box. _______