Expressions
Evaluate if m = 2, n = 6, and p = -4.
3m + 4p
-10
Name the property shown by each statement.
a + (b + 12) = (b + 12) + a
Commutative (of addition)
Use the Distributive Property to write an equivalent expression. Then, state the value of the expression.
5(2 + 4)
Expression: 5(2) + 5(4) or 10 + 20
Value: 30
Simplify: 5x + 4 + 9x
14x + 4
Add: (-6x + 5) + (4x - 7)
-2x - 2 or -2x + -2
Factor using the GCF: 5x + 5
5(x + 1)
Evaluate if m = 2, n = 6, and p = -4.
n^2+5
41
Name the property shown by each statement.
(5 + x) + 0 = 5 + x
Additive Identity
Use the Distributive Property to write -4(x + 13) as an equivalent expression.
Simplify: 3 + 3d + d
4d + 3
Add: (-4x + 5) + (15x - 3)
11x + 2
Factor using the GCF: 18x + 6
6(3x + 1)
Evaluate if m = 2, n = 6, and p = -4.
6p^3
-384
Name the property shown by each statement.
16 + (c + 17) = (16 + c) + 17
Associative (of addition)
Use the Distributive Property to write an equivalent expression. Then, state the value of the expression.
(-3)(8 + 11)
Expression: (-3)(8) + (-3)(11) or -24 + -33
Value: -57
Simplify: 3x + 12 + 7x - 8
10x + 4
Subtract: (9x + 5) - (6x - 8)
3x + 13
Factor using the GCF: 4x - 7
Cannot be factored
The expression 1.8C + 32 (where C = degrees Celsius) can be used to figure out the conversion of degrees Celisus to Fahrenheit. Evaluate to determine the temperature in degrees Fahrenheit if it is 15 degrees Celsius today.
59 degrees Fahrenheit
d(e)0 = 0
Multiplicative Property of Zero
Use the Distributive Property to write an equivalent expression. Then, state the value of the expression.
4(8) - 4(7)
Expression: 4(8 - 7)
Value: 4
Simplify: 3(4x -5) + 4(2x + 6)
20x + 9
Subtract: (-8x + 1) - (8x - 1)
-16x + 2
Factor 6x + 120 completely.
6(x + 20)
A web site charges $0.99 to download a game and a $12.49 membership fee. Write an expression that gives the total cost in dollars to download g games. Then, find the cost of downloading 6 games.
Expression: 12.49 + 0.99g
Total cost: $18.43
Write an example depicting the Multiplicative Identity property
Answers will vary. Your answer should include multiplying by 1 to get the original number.
Example: 3(1) = 3
Use the Distributive Property to write an equivalent expression. Then, state the value of the expression.
8(5.75)
Equivalent Expression Examples: 8(5) + 8(0.75) or 8(6) - 8(0.25) or 40 + 6 or 48 - 2
Value: $46
Simplify: -8(2a - 3b) + 5(6a - 4b)
14a + 4b
Subtract: -8(2a - 3b) - 5(6a - 4a)
-26a + 24b
A square scrapbooking page has a perimeter of 8x + 20 inches. What is the length of one side of the paper?
2x + 5
*Note the factored form could be 4(2x + 5)...the 4 represents the 4 sides, so 2x + 5 is the length of just one side.