What is the simplified form of the following expression?
(2y5) ÷ (x5)
(22y2) ÷ (x7)
(2y2) ÷ (x7)
(22y5) ÷ (x5)
2. Multiple Choice
2 minutes
1 pt
What is √27x9y3z6 written in simplest radical form?
3x3yz3√3y
3x4yz3√3xy
3x3yz2
3x3yz2√9xyz
3. Multiple Choice
2 minutes
1 pt
When completely factored, what does 4x2 - 11x + 6 equal?
(2x + 2)(2x + 3)
(2x - 2)(2x - 3)
(x + 2)(4x + 3)
(4x - 3)(x - 2)
4. Multiple Choice
2 minutes
1 pt
Hillary is looking to purchase a piece of land to build a library.The rectangular plot of land has a length (∫) that is 25 feet longer than its width (w). The total area of the land is 6600 square feet. Which of the following best models the scenario?
∫ + w = 6600
∫ ⋅ (∫ + 25) = 6600
2 ⋅ (w + 25) = 6600
w ⋅ (w + 25) = 6600
5. Multiple Choice
2 minutes
1 pt
Find the quotient of (18x2 + 15x - 18) and (3x - 2).
6x2 + 9
3(2x + 3)
(2x + 3)(3x - 2)
6x2 + 5x - 6
6. Multiple Choice
2 minutes
1 pt
What is the simplified form of the following? [(-2x3) ÷ (y2)]-3
- [(y6) ÷ (8x9)]
(6y5) ÷ (x6)
- [(y5) ÷ (6x6)]
- [(8x9) ÷ (y6)]
7. Multiple Choice
2 minutes
1 pt
Which of the following verbal expressions could represent 1/2 (√x + 3) - 5y?
one half the square root of three times a number x less the product of 5 and y
one half the square root of three more than a number x less the product of 5 and y
the difference of 5 and a number y and one half of x and three squared
one half the square of a number x and three less the product of 5 and y
8. Multiple Choice
2 minutes
1 pt
A paving company is paving the rectangular student parking lot at Hamilton High School. ⋅ The length of the parking lot can be represented as (5p - 7) ⋅ The width of the parking lot can be represented as (3p + 4) Which expression represents the area of the parking lot?
15p2 - 41p - 28
8p2 + 41p - 3
8p2 - p - 3
15p2 - p - 28
9. Multiple Choice
2 minutes
1 pt
Simplify: ∛? = 3∛5
32
135
45
27
10. Multiple Choice
2 minutes
1 pt
This is Charlie's model. Which of the following is equivalent to Charlie's model?
(2x - 12)(3x + 2)
(7x2+3x+7)-(x2+5x+7)
(4x2-x+3)+(2x2+x+3)
(36x2 - 12x + 6x) ÷ (6x)
11. Multiple Choice
2 minutes
1 pt
What is the value of 8c2 - 2(∛a) - ∣3b - 7∣ if a = 8, b = 2, and c = 1/2?
-3
-1
5
7
12. Multiple Choice
2 minutes
1 pt
What are the factors of 18m2 - 8n2, when it is completely factored?
2(3m + 2n)(3m - 2n)
2(9m2 - 4n2)(9m2 + 4n2)
2(9m2 - 4n2)
(3m + 2n)(3m - 2n)
13. Multiple Choice
2 minutes
1 pt
Find the slope of the line passing through the point (-1, -3) and having an x-intercept of 2.
-(1/5)
1/3
1
5
14. Multiple Choice
2 minutes
1 pt
Solve the equation for b. 2b + by = 7x
b = (7x - y)/ (2)
b = (7x)/ (2y)
b = (7x)/ (2 + y)
b = (7x - 2)/ (y)
15. Multiple Choice
2 minutes
1 pt
Which is the solution to: -2(4y - 3) ≧ -1?
{y: y ≧ 7/8}
{y: y ≦ 7/8}
{y: y ≧ 5/8}
{y: y ≦ 5/8}
16. Multiple Choice
2 minutes
1 pt
Galen is planning a trip to New York City. His plane ticket costs $750.00 and the hotel will cost $125.00 each night. If he wants to spend no more than $1,400.00, how many nights can he stay?
no more than 3 nights
no more than 4 nights
no more than 5 nights
no more than 6 nights
17. Multiple Choice
2 minutes
1 pt
Identify the property that justifies the work between Step 2 and Step 3.
Additive Identity Property
Additive Inverse Property
Subtraction Property of Equality
Division Property of Equality
18. Multiple Choice
2 minutes
1 pt
Alex and Vienna each graphed a line. ⋅ Alex graphed the line y = 3x + 1 ⋅ The slope of Vienna's line was larger than the slope of Alex's line. Which of the following could be Vienna's line?
A
B
C
D
19. Multiple Choice
2 minutes
1 pt
What are the solutions of the equation 2x2 - 6x - 36 = 0?
{-12, 3}
{-6, 3}
{-3, 6}
{-3, 2, 6}
20. Multiple Choice
2 minutes
1 pt
Which systems of equations has an infinite number of real solutions?
y = -2x + 4 2x - 4y = 4
8x + 2y = 30 x + y = 15
y = 3x + 4 3x - y = 6
y = 2x + 4 6x - 3y = -12
21. Multiple Choice
2 minutes
1 pt
Given: -2x - 8 ≥ 4x - 9 Using the given inequality, select all that do not illustrate the application of the addition property of inequality.
-2(x + 4) ≥ 4x - 9
-2x - 8 + 2x ≥ 4x - 9 + 2x
-2x - 8 + 8 ≥ 4x - 9 + 8
-2x - 8 + 9 ≥ 4x - 9 + 9
22. Multiple Choice
2 minutes
1 pt
A group of children and adults attended the local fair. Which systems of equations could be used to determine the value of a and c?
12a + 8c = 29 296 + 8c = 12a
12a + 8c = 296 29(12a + 8c) = 296
a + c = 29 12a + 8c = 296
12a + 8c = 296 a + c = 296
23. Multiple Choice
2 minutes
1 pt
Solve the equation for y. (y - 5)/(2) = 3x
y = 6x + 10
y = 6x + 5
y = 3x + 5
y = x + 5
24. Multiple Choice
2 minutes
1 pt
A linear relationship exists between the weight of a candy purchased (w) and the cost of the candy (c). ⋅ 2 pounds of candy costs 5 dollars. ⋅ 6 pounds of candy costs 7 dollars. Which of the following best shows the relationship between the weight and the cost of the candy?
C = (1/2)w + 4
C = (1/2)w - 1/2
C = 2w - 8
C = 2w + 1
25. Multiple Choice
2 minutes
1 pt
Solve: (3x + 1)/(4) = (2x - 1)/(5)
x = -9/7
x = -2/7
x = -8/5
x = 0
26. Multiple Choice
2 minutes
1 pt
Given the systems of inequalities, y ≤ x + 1 y > -(2/5)x + 1 which region must be shaded to make the systems of inequities true?
Region A
Region B
Region C
Region D
27. Multiple Choice
2 minutes
1 pt
Which is the solution to the system of equations shown? 3x - y = 6 x - 2y = -18
(-6/7, 60/7)
(24/5, 57/7)
(12, 6)
(6, 12)
28. Multiple Choice
2 minutes
1 pt
What are the apparent roots of the given graphed equation?
{-6, -4, -1}
{-1, 4, 6}
{-1, 6}
{4}
29. Multiple Choice
2 minutes
1 pt
Which is the graph of the solution to 13 < 1/2(6x - 4)?
Graph A
Graph B
Graph C
Graph D
30. Multiple Choice
2 minutes
1 pt
Which inequality best describes the graph shown?
y ≤ (2/3)x + 4
y ≥ (2/3)x + 4
y ≤ (3/2)x + 4
y ≥ (3/2)x + 4
31. Multiple Choice
2 minutes
1 pt
If f(-2) = 4. which of the following could be the equation for f(x)?
f(x) = -2x + 4
f(x) = -2(x + 4)
f(x) = (x + 2)2 + 4
f(x) = x2 - 2x + 4
32. Multiple Choice
2 minutes
1 pt
Identify each function that has a root of 2.
I and III only
I and IV only
I, II, and III only
IV and V only
33. Multiple Choice
2 minutes
1 pt
What is the x-intercept of the line with the equation y = 2x + 6?
-6
-3
2
6
34. Multiple Choice
2 minutes
1 pt
The graph of a direct variation passes through the point (4, 2). Which of the following points will also be on the graph?
(2, 4)
(6, 4)
(10, 5)
(8, 1)
35. Multiple Choice
2 minutes
1 pt
Find the equation of the curve of best fit that most appropriately models the data below: {(-3, 26), (-2, 9), (2, 21), (3, 44), (6, 161)}
y = 13.34x + 36.20
y = 0.047x - 1.27
y = x2 - 3x
y = 4x2 + 3x - 1
36. Multiple Choice
2 minutes
1 pt
Determine the x- and y-intercept of the linear function 2x = 3y - 9.
(2, 0) and (0, 3)
(3, 0) and (0, 2)
(3, 0) and (0, -4.5)
(-4.5, 0) and (0, 3)
37. Multiple Choice
2 minutes
1 pt
What is the apparent range of the function f(x) = x2 - 6x + 5?
{x: -1 ≤ x ≤ 7}
{x: x ≥ -4}
{y: y is all real numbers}
{y: y ≥ -4}
38. Multiple Choice
2 minutes
1 pt
Juan's family is driving from New York City to Richmond. The graph relates the distance in miles from Richmond, y, and travel time in hours, x. What is the best interpretation of the y-intercept in the graph?
The number of hours it takes to drive to New York from Richmond.
The distance from New York to Richmond.
The rate at which you drive in miles/hour.
The distance the family is from New York.
39. Multiple Choice
2 minutes
1 pt
The graph shown represents the function f(x) = -(1/2)x + 2. For what value of x does f(x) = 4?
-4
0
2
4
40. Multiple Choice
2 minutes
1 pt
An experiment is conducted where weights are added to a spring which is then measured. Which of the following is true about the relationship between w and s?
There is a direct variation between w and s because s = 3w.
There is a direct variation between w and s because sw = 48.
There is a inverse variation between w and s because s = 3w.
There is a inverse variation between w and s because sw = 48.
41. Multiple Choice
2 minutes
1 pt
Which of the representations shown best represent the rule below? "y is equal to three less than twice a number, x."
B, C, and D
A, B, and F
C, D, and E
A, E, and F
42. Multiple Choice
2 minutes
1 pt
Which of the graphs shown does not represent a function?
Graph A
Graph B
Graph C
Graph D
43. Multiple Choice
2 minutes
1 pt
Students in the first grade were completing a craft by gluing beans to circles of different sizes. The chart given shows the radius of the circle and the number of beans students were able to glue to the circle. Using the quadratic curve of best fit, predict the number of beans that would be placed on a circle with a radius of 10 cm.
200
224
240
320
44. Multiple Choice
2 minutes
1 pt
Given the relation: R = {(3, 7), (2, y), (x, 5), (1, 6), (4, 8)} Which of the following values of x and y will make the relation R a function?
x = 1, y = 3
x = 5, y = 5
x = 4, y = 9
x = 3, y = 4
45. Multiple Choice
2 minutes
1 pt
Roxie has been collecting data on the number of people that enter her store per hour and the total amount of items sold during that hour. Using the line of best fit for the data, what is the best estimate for the number of items sold is 26 people enter the store?
16
18
20
25
46. Multiple Choice
2 minutes
1 pt
Given the graph of f(x) = 2x + 4, what are the apparent zeros?