Numerical Expressions (Order of Operations)
Evaluating Algebraic Expressions
Sequences
Properties of Operations
Distributive Property
100
Simplify 3 x 2 - 5
1
100
Evaluate 4x - 5 when x = 4
11
100
What is the pattern in the sequence: 4, 7, 10,...
Add 3 to the previous term
100
Which property is being used? (4 + 7) + 10 = 4 + (7 + 10)
Associative Property (+)
100
5(12 + 8)
100
200
(6/2) + 7 - 2
8
200
Evaluate 2a + 5 when a = -3
-1
200
What is the pattern in the sequence: 0.5, 1.3, 2.1, 2.9,...
Add 0.8 to the previous term.
200
This property allows you to change the order of the numbers you are adding or multiplying without affecting your answer.
Commutative Property (+ and x)
200
8(x - 10)
8x - 80
300
(-4 + 8 x 4)/7
4
300
Evaluate 3(2y - 1) + 6 when y = 2
15
300
What are the next 3 terms in the sequence below: 12, 23, 34, 45,...
56, 67, 78
300
Fill in the blank using the associative property. (7 x 8) x 9 = _________________
7 x (8 x 9)
300
11(2m - 5)
22m - 55
400
10 - (4 x 2) ÷ 4
8
400
Evaluate 3(6 - b) + 7 -2b when b = 4
5
400
What are the next 3 terms in the sequence below: 2.8, 4.2, 5.6, 7.0,...
8.4, 9.8, 11.2
400
Create an example that shows the additive identity property
Any example that shows that adding 0 to a number equals that number.
400
-3(4y + 6)
-12y - 18 or -12y + (-18)
500
See board for question
-16
500
Evaluate (n/4) + 2n - 3 when n = 8
15
500
You visit the Grand Canyon and drop a penny off the edge on a cliff. The distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third second, and so on in an arithmetic sequence. What is the total distance the penny will fall in 4 seconds?
112 feet
500
Which property is demonstrated here? 8(100 - 1) = 8(100) - 8(1)
The Distributive Property.
500
-12(-2x - 4y)
24x + 48y or 24x - (-48y)
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