Vocabulary
Write an algebraic expression with 2 variables, 2 coefficients, and 1 constant?
Create an equivalent expression:
2 ( x + 5)
2x + 10
10 more than a number, n
n+10
Evaluate: 34
81
Simplify:
2x+3+5x+6
7x+9
How many terms are in the expression?
12x + 3y - 15 ÷ 2z
3 terms
Create an equivalent expression:
3(2x - 6)
6x - 18
3 less than a number, n
n-3
Find the GCF: 60 and 48
12
Simplify:
5c - 4c + c + 6b + 3b
9b + 2c
Write an expression that contains exactly 5 terms.
Create an equivalent expression:
5(4n-3)
20n-15
the sum 7 and a number n, decreased by 3
7 + n - 3
Evaluate the expression:
x2 + 4y - 12
x = 8 and y = 1/2
54
Simplify:
5x + 2y - 3x + y - 5 + 8x
10x+3y-5
Explain how the distributive property and factoring are alike.
You can generate equivalent expressions by factoring and applying the distributive property.
Factor using the GCF:
36x + 21y + 18
3(12x + 7y + 6)
8 times the sum of 6 and a number
8(6+n)
A cell phone company charges a one time fee of $35 for a new service. The cost for the phone plan is $50 per month. Write an expression to show the total cost for activation and monthly service for m months.
$35 + $50m
Are the expressions equivalent? Explain.
-2(-6x - 8) = 12x - 16
No, using the distributive property, the first expression equals 12x + 16.
Which of the following algebraic expressions will have ONLY 2 terms AFTER being simplified?
A. 3x-2y+18-5+6z-4
B. 21-3x+17-4x+9-12x
C. 2a+3b-4-5a-3b+4
D. 12x+9-15x-10+3x-8y
B, D
Factor using the GCF:
150x + 60y + 45
15(10x + 4y + 3)
the product of 9 and a number squared into 6
6 ÷ 9n2
A small square has a side length of 4 cm. A larger square has a side length of 10 cm. What is the sum of the areas of both squares?
116 cm2
Are the expressions equivalent? Explain
5(-2a + 3b - 4) = -7a - 6 + 2b - 3a + b + (-14)
No, it should be a total of 15 b, not 3b