Exponents
Select all of the expressions that are equivalent to 3.14.
A (3.1)(3.1)(3.1)(3.1)
B (9.61)(3.1)(3.1)
C (3.1)(3.1)(2)
D (9.61)(9.61)
E (3.1)(4)
A, B, D
Charlie uses the expression 2x + 2x to represent the perimeter of a square.
What does the variable x represent in this expression? A the area
B the perimeter
C the side length
D the sum of 2 side lengths
C
A school earns $270 from selling 50 tickets for the school play. Each ticket costs the same price. How much does the school earn for 1 ticket?
$5.40
On Monday, the theater club sells 14 tickets for the school play. On Tuesday, they sell 10 tickets. On those two days, they sell 32% of the total number of tickets. What is the total number of tickets?
75
What is the volume of a prism that has the dimensions of 1ft, 2ft, 2.5 ft.
5 ft3
What is 0.4582 × 103 ?
458.2
The total number of hours, t, that Trent has practiced his guitar after d days is modeled by the equation shown. t = 3d
Complete the table to describe this relationship.
d t
1
3
15
3, 9, 5
Sarah types a 3-page report in 30 minutes, and each page has 400 words. What is Sarah’s typing rate, in words per minute?
40 words per min
Which statement about the comparison of |–3.2| and |2| is accurate?
A |–3.2| is less than |2| because –3.2 is a negative number.
B |–3.2| is greater than |2| because –3.2 is a greater distance from 0.
C |–3.2| is less than |2| because the distance between the values on the number line is greater than |–3.2|.
D |–3.2| is greater than |2| because the distance between the values on the number line is smaller than |–3.2|.
B
The net of a square pyramid is shown. (Display image)
Create an expression that represents the surface area, in square centimeters (cm), of the square pyramid.
x2 + 10x
Which expression is equivalent to 4x4x4x5x5 ?
B
Max builds a model of his house. He spends $48.86 on materials for the model as shown:
• 3 packages of wood at $5.99 each
• 10 miniature windows at $1.79 each
• a roofing package for r dollars
Create an equation that could be used to solve for the cost, r, in dollars, of the roofing package.
48.86=29.76 + r
Kaden works 5 days.
• The median number of hours he works is 3.
• The mean number of hours he works is 4.
Complete the table to show a possible number of hours that Kaden works on each of the 5 days.
Days hours
Monday
Tuesday
Wednesday
Thursday
Friday
The median has to be 3 and the mean has to be 4
. Which statement is true about the points represented by (1, –3) and (2, 3)?
A The points are located above the x-axis.
B The points can be connected by a vertical line.
C The points are the same distance from the x-axis.
D The points are the same distance from the y-axis.
C The points are the same distance from the x-axis.
Diego will ship 8 boxes in a large carton that is the shape of a right rectangular prism. Each box is 13 inches by 5 inches by 6 inches.
Part A
Diego determined the volume of one box by calculating
(13+5+13+5) x
Determine whether Diego is correct or incorrect.
Incorrect (13x5x6)=390 cubic inches
Evaluate the following expression when a = 3 and b = 2.
3a2 – 7b
A 67
B 13
C 68
D 83
13
Select all of the expressions that are equivalent to 10a + 6b.
A 16ab
B 2(5a + 3b)
C 10(a + 6b)
D 6(a + b) + 4a
E 5(2a) + 3(2b)
B D E
A store sells packages of grape drink mix and strawberry drink mix.
For the grape drink mix, the total cost of 4 packages is $11.
Part A
What is the cost, in dollars, of 5 packages of the grape drink mix?
Part B
What is the maximum number of packages of grape drink mix that can be purchased with $25
9
10
68
69
$13.75
9
Marilyn has 7/8 yard of ribbon. What is the maximum number of 1/16 yard-long pieces Marilyn can cut from this ribbon?
14
Given the net, what is the name of this shape
square pyramid
Evaluate the following expression when v = 2 and w = 155:
6v3+4/5w
A 17
B 1852
C 76
D 172
172
An expression is shown. (1/2)b2 – 6. What is the value of the expression when b = 4?
2
If 1 pound of chocolate creams at Philadelphia Candies costs $7.52. How much does that candy cost by the ounce?
1 lb- 16 oz
A 48¢ per oz.
B 47¢ per oz.
C 75.2¢ per oz.
D 66¢ per oz.
47 per oz
What is the product of 35.263 and 0.29?
10.22627
Which of the following solid figures has the most flat surfaces?
A cube
B triangular prism
C hexagonal prism
D pentagonal pyramid
Hexagonal prism