Properties
What is the difference between the associative property of multiplication and the communitive property of multiplication and give an example.
Communitive does not use grouping and associative does.
Amy drove at a rate of x miles per hour. Uma drove half the rate of speed that Amy drove. Which expression represents the rate of speed at which Uma drove?
a. 1/2 + x
b. x - 1/2
c. 2x
d. x/2
d. x/2
Sunday brunch at a local restaurant costs $12.94 per person. Let n represent the total number of people eating brunch together. What expression could be used to find the cost of brunch for the entire group?
12.94n
Write an expression that represents 3 times the sum of x and 7.
3(x+7)
(1/3)^3
1/27
What is the difference between the commutative property and the distributive property?
The order of the numbers can change and distributive uses a number outside the parenthesis and multiplies it by each number inside.
What expressions are equivalent to
6(b + 2) - b
a. 5b + 8
b. 7b + 8
c. 5b + 12
d. 6b + 8 - b
e. 6b + 12 - b
c and e
if m = 2 and k = 3 what is k^2 + m
11
What is a variable?
a symbol, usually a letter, used to represent an unknown number.
(6-3)^2 ÷ 9
1
Which algebraic expression uses the distributive property for 28 + 36?
a. 2(15 + 18)
b. 4(7 + 9)
c. 6(4 + 6)
d. 14(2 + 3)
b.
Use the distributive property to give an answer that is equivalent to the expression.
6(3m + 9)
18m + 54
what is the value of the expression
q^2 + (r + 12) if q=6 and r=4
52
What is the coefficient in this expression:
6x - 12
6 is the coefficient
[10 - (5 + 3)] x 7
14
Select all the expressions equivalent to 32 + 40x using the distributive property.
a. 8(5x + 4)
b. 4(8 + 10x)
c. 5(6 + 8x)
d. 2(16 + 20x)
a, b, d
What does it mean when two numbers are directly next to each other with no operation in between the numbers
to multiply the numbers
The cost of n movie tickets is given by the expressions shown:
8n + 2
How much will 6 movie tickets cost?
$50
If the coefficient is multiplied by 3, what is the new value of the expression.
6x + 12
18x + 12
What does PEMDAS stand for?
Parenthesis
exponents
multiply
divide
add
subtract
What property is 6 + 8 is equal to 8 + 6 using?
The commutative property
What is equivalent to 4(x + 3)
4x + 12
A temperature given in degrees Celsius, C, can be converted to Fahrenheit by using the expression:
1.8C + 32
If the temperature is 35 degrees Celsius, what is the value in Fahrenheit?
95 degrees
Simplify 4(2x+3)+x
8x + 12 + x
9x + 12
(10−6)^2 + 3×4
21