Order of Operations
Solve the following expression using PEMDAS:
62 – 33 ÷ 3 + 14
65
Solve 3z – 11 if z = 12
25
Identify the property:
11 × 8 = 8 × 11
Commutative Property of Multiplication
Simplify by combining like terms:
7p – 5p – 3 + 8p
10p - 3
In what order do you solve when there are multiple addition and subtraction operations in an expression?
Left to right (read it like a book)
Solve the following expression using PEMDAS:
3 + 32 ÷ 8 – 9
-2
Solve m(m + 2) if m = 2
8
Fill in the missing number using the associative property of addition:
(1 + 18) + 9 = 1 + (___ + 9)
18
Simplify by combining like terms:
14 + 16 – 2c + 5c – 4c
-c + 30
When evaluating an expression, what do you do with the number that equals the variable?
Use Substitution- Replace the variable(s) in the expression with the number and solve.
Solve the following expression using PEMDAS:
19 + 6 ÷ (–3)
17
Solve r(r – 9) + 4 if r = 11
26
What happens to the value of a number when adding zero or multiplying by one?
Nothing. The value of the number doesn't change.
Simplify by combining like terms:
3(m – 5) + m
4m - 15
When combining like terms, how do you know which terms can be combined?
Terms can be combined when they have the same variable or if they are constants. If there is not a term with the same variable or more than one constant, then the terms cannot be combined.
Solve the following expression using PEMDAS:
9 × 3^2 ÷ 9 – 4
5
Solve (y + 2)^2 if y = –4
4
The sum of a number and its opposite is known as which property?
Inverse Property of Addition
Simplify by combining like terms:
3a + 7 + 2(3 + a)
5a + 13
The distributive property states that when a number is outside a pair of parentheses, that number must be distributed to the numbers inside by using _________. (Which operation?)
Multiplication
Solve the following expression using PEMDAS:
48 ÷ 2 × 5 + 7^2 – 3
166
Solve d^2 – 9d + 5 if d = 6
-13
Simplify the following expression using the distributive property: 9(a + 4)
= (9 x a) + (9 x 4)
= 9a + 36
Simplify by combining like terms:
8(2k + 1 + 3k)
40k + 8
When a coefficient and a variable are together, what operation should you do?
Multiplication