Exponents
Which number is the base in
93
9 is the base
What are the order of operations?
Parentheses
Exponents
Multiplication/Division
Addition/Subtraction
Write an algebraic expression.
a - 7
a minus 7
the difference of a and 7
7 less than a
a take away 7
a subtracted by 7
(Answer Varies)
Which is an example of distributive property?
a. x + y = y + x
b. (x - y) - z = x - (y - z)
c. x(y + z) = xy + xz
d. x + 0 = x
c. x(y + z) = xy + xz
Convert the percent to a decimal and fraction.
45%
0.45
45 / 100 or 9 / 20
Give an exponential expression that is equivalent to
8 x 8 x 8 x 8 x 8
85
Which operation should you perform first when you simplify the following expression?
63 - (54 / 2 x 6) / 5
Division
Write the algebraic expression.
the quotient of 25 and p
25 / p
Using the distributive property, simplify the expression.
4(3x + 4)
4(3x) + 4(4)
12x + 16
Convert the decimal to a percent and a fraction
0.27
27%
27 / 100
Simplify the given expression
2 x 3 x 2 x 3 x 4
22 x 32 x 4
Simplify the expression:
5 + 4 x 6 - 3
26
What expression represents the product of 83 and x?
83x
83 * x
Give an equivalent expression.
0.5(x4 - 4) + 12
0.5x4 + 10
What is 10% of 65?
6.5
A long-distance runner ran
4 × 4 × 4 × 4 × 4 × 4
miles last year. How many miles is this?
4,096 mi
A sixth-grade student bought three cans of tennis balls for $4 each. Sales tax for all three cans was $.95. Write an expression to show the total amount the student paid and tell me how much they paid.
3 x 4 + 0.95
$12.95
What is expression form of the 5 plus the product of 2 and x?
5 + 2x
Using the distributive property, simply the expression
2(n - 9) + 7n
9n - 18
You have a bowl with 20 pieces of fruit, 11 pieces are oranges. What percent of the bowl are oranges?
55%
Antonia is saving for a video game. On the first day, she saves two dollars in her piggy bank. Each day after that, she doubles the number of dollars she saved on the previous day. How many dollars does she save on the sixth day?
26 dollars, $64
George wants to put carpeting in a rectangular living room and a square bedroom. The length and width of the living room is 12 feet by 18 feet. One side of the square bedroom is 13 feet. It will cost $3.50 per square foot to carpet the rooms. Write an expression and solve it to find the total amount George will pay for carpeting.
3.5 x [(12 x 18) + 132]
$1,347.50
Given the expression 2(n+9), which is not an option in word form?
a. Two times n plus nine
b. Two times the sum of n plus 9
c. Two plus n and the sum of nine
d. N times two plus N times 9
c. Two plus n and the sum of nine
William earns $13 an hour working at a movie theater. Last week he worked h hours at the concession stand and three times as many hours at the ticket counter. Write and simplify an expression for the amount of money William earned last week.
13h +13(3h)
13h +39h
52h
Kylie drank 35% of a 400-mL container of water. Eugenia drank 45% of a 350-mL container of water. Who drank more water? How much more?
Eugenia drank more
17.5 mL