Variables &
Expressions
Patterns & Expressions
Distributive Property
Order of Operations
More Order of Operations
100
What is a variable?
a letter or symbol that represents a number
100
if x = 5 What is n + 5
10
100
Which number do you break apart in the Distributive property? ex: 12 x 308
308 = (300 + 8)
100
How do we remember order of operations?
P (parentheses) E (Exponents) M (Multiplication) left to right D (Division) left to right A (Addition) left to right S (Subtractions) left to right
100
Solve: 4x4+3
16+3 = 19
200
What is an expression?
a math phrase involving variables, numbers, and operations
200
If n = 2 What is 3n?
6
200
Use the Distributive Property to solve: 7 x 86
7 (80 + 6) = (7 x 80) + (7 x 6) = 560 + 42 = 602
200
Which operation do we do first? 3+7x6÷3-4
x (multiplication) it comes first left to right
200
Solve: (15-11)x(25÷5)
(15-11)x(5) = 4x5 = 20
300
Write the expression twice the number of people?
2 x p or 2p
300
If n = 5 and n = 2 40/n 40/n
8 20
300
Use the distributive property to solve: 7 x 420
7 (400 +20) = (7 x 400) + (7 x 20) = 2,800 + 140 = 2,940
300
Solve: 3+7x6÷3-4
3+42÷3-4 = 3+14-4 = 17-4 = 13
300
Solve: 26-4x5+2
26-20+2 = 6+2 = 12
400
Write the expression 6 splitted into a number
6/n
400
n = 10 and n = 12 44.7 - n
34.7 32.7
400
Use the distributive property to solve: 80x64
(80x60)+(80x4) = 4,800+320 = 5,120
400
Solve: 8x6-4x3
48-4x3 = 48-12 = 36
400
Solve: 15x(7-7)+(5x2)
15x(7-7)+(10)= 15x0+10 = 0+10 = 10
500
Write out 4 less than a number in an expression
4 - n
500
n = 10 and n = 12 60/n
6 5
500
Use the distributive property to solve: 390 x 40
40 (400 - 10) = (400 x 40 ) - (40 x 10) = 16,000 - 400 = 15,600
500
Solve: 36-5(16-11)
36-5(5) = 36-25 = 11
500
Solve: 5x(6-3)+10÷(8-3)
5x(3)+10÷(8-3) = 5x3+10÷(5) = 15+10÷5 15+2 17
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Topic 6 Variables and Expressions
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