Vocabulary
What is an expression called with only numbers and operational symbols?
numeric expression
What property is being modeled with the expressions? 4 + 0 = 4
4 x 1 = 4
Identity Property
Solve the following expression.
(67 − 18) ÷ 7 × 3
21
Use mental math to solve the following.
11 x 27
11(20) + 11(7)
220 + 77
297
Parts of an expression that are separated by operational terms...
term
What is an expression called that included numbers, variables, and operational symbols?
algebraic expression
What is the property that states that you may add a set of terms or multiply a set of terms in any order and still get the same solution...
Solve the following expression.
3³ ÷ (15 ÷ 5) + (11 × 2)
31
Use the distributive property to rewrite the expression.
4(x + 2)
4x + 8
A term in an expression that has only a number with no variable attached...
constant
What do we call a letter used in an express that represents an unknown amount?
variable
The property that states you can group a set of multiple terms in any order when adding or multiplying and get the same solution is called...
associative property
Solve the following expression.
(32 ÷ 22) × (5 − 3)³
64
Use mental math to solve 9 x 4 1/3.
9(4) + 9(1/3)
36 + 9/3
36+ 3
39
like terms
What is the larger number called that is used with an exponent?
base
According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
distributive
Solve the following expression.
(2 + 1) × 4³ ÷ 24
8
Use the distributive property to solve 5(9 + 2x).
45 + 10x
Factor the following expression.
12x + 3y
3(4x + y)
When a term contains a number and a variable it is called....
coefficient
Use the distributive property to simplify the following expression.
4(12 + 3x)
48 +12x
Solve the following expression.
(6 × 2³) + 13 − 69 ÷ 3
38
3x + 8y + 13x
16x + 8y
Factor the following expression.
49x + 14y
7(7x + 2y)