5.1 Algebraic Expressions
How many terms are in this expression:
3x + 2 + y - 3
4
Write the phrase as an expression:
the sum of p and 8
p+8
What property is being shown:
12 + 0 = 12
The addition property of zero
Use the Distributive Property to simplify the expression:
4(3x + 2)
12x+8
Factor the expression 27 + 15 using GCF
3(9+5)
A number with no variable (by itself) in an expression is called a:
Constant
Write the phrase as an expression:
the quotient of 82 and w
82 / w
Which property is being shown:
2+(3+5) = (2+3)+5
Associative property of addition
Use the Distributive Property to simplify the expression:
11(7 - f)
77-11f
Factor the expression 16x + 2 using GCF
2(8x+1)
Identify the Coefficient(s) in this expression:
3x + 2 + x + 12
3 and 1
Write the phrase as an expression:
5 less than a number x
x-5
What property is being shown:
4 ∙ (h ∙ 3) = 4 ∙ (3 ∙ h)
Commutative property of multiplication
Combine like terms to simplify the expression:
7 + 4x + 6 + x
5x + 13
Use the greatest common factor (GCF) to factor the expressions:
30x + 25
5(6x+5)
Write the expression using exponents:
4 ∙ j ∙ j ∙ k ∙ k ∙ k
4j2k3
Write a phrase to represent the following expression:
12 x t
answers will vary
Simplify the expression using a mathematical property.
12 + (x + 14)
26 + x
Combine like terms to simplify the expression:
5(k + 7) + 3(2 − k)
2k + 41
Factor the expression using the GCF:
3x + 15 + 9y
3(x + 5 + 3y)
Evaluate the Expression when x = 4 and y = 7
x2+2y
30
Write a phrase to represent the following expression:
(3+p) / 2
Answers may vary
Simplify using a mathematical property:
9(3m)
27m
Combine like terms to simplify the expression:
9(y + 7) + 2(1 − y)
7y + 65
A restaurant supplier receives a discount on each oven purchased. The original price of each oven is x dollars. The restaurant supplier purchases 5 ovens for a total of (5x - 125) dollars. By how much is each oven discounted?