C.1 - Algebraic Expressions
What are the terms and like terms?
1/2s - 4 +3/4s + 1/8 - s3
Terms:
1/2s, -4, 3/4s, 1/8, -s3
Like Terms:
1/2s, 3/s
-4, 1/8
Find the sum:
(2x - 6) + (-4x - 12)
- 2x - 18
Simplify:
-9(-5 - 4c +3b)
45 + 36c - 27b
Factor out the GCF:
12 + 9g - 30h
3(4 + 3g - 10h)
What is Ms. Tingus' favorite number?
What is 144?
Simplify:
-2/3c + 9/5 + 14c + 3/10
40/3c - 3/2
Find the difference:
(-1/8c + 16) - (3/8 + 3c)
-25/3c + 125/8
Simplify:
-3/8(-4y + 3z - 24/7)
3/2y - 9/8z + 9/7
Factor:
5/2k-2
5/2(k - 4/5)
What is Ms. Tingus' favorite subject of math to teach?
What is Statistics?
Simplify
9.7 - 4.2g +2.1 + 7.4g - 5.6h
3.2g - 5.6h + 11.8
Find the sum:
(7/4x - 5) + (2y - 3.5) + (-1/4x + 5)
3/2x + 2y - 3.5
Simplify:
5/3(4/3a - 9b + 2/3a)
10/3a - 15b
Factor out a negative GCF:
-12y - 42
-6(2y + 7)
What is the highest math Ms. Tingus took?
What is Calculus 3?
Find the earnings for washing and waxing 12 cars and 8 trucks when a car wash is $8, truck wash is $10, car wax is $12, and truck wax is $15.
$440
Find the difference:
(2/3x + 1/4y - 17) - (5/2x - 2/3y - 24)
-11/6x + 11/12y + 7
Simplify:
-3/4(5p - 12) + 2(8 - 1/4p)
-17/4p + 25
Factor out a negative:
-1/2x - 5/4y
-1/4(2x + 5y)
Who did Ms. Tingus have for 7th grade math?
Who is Mrs. Davis?
What is the perimeter of the polygon if base 1 = 2x, base 2 = x, height = 4, and the diagonal side is 5?
3x+9
Your friend says the sum of two linear expressions is always a linear expression. Is your friend correct?
No; If the variable terms are opposites, the sum is a numerical expression.
Predict whether the instructions below will produce equivalent expressions. Then show whether your prediction is correct.
• Subtract 3 from n, add 3 to the result, and then triple that expression.
• Subtract 3 from n, triple the result, and then add 3 to that expression.
Due to the first instruction being tripled at the end of the expression, the results will not be equivalent.
A table is 6 feet long and 3 feet wide. You extend the length of the table by inserting two identical table leaves. Th e extended table is rectangular with an area of (18 + 6x) square feet. Write and interpret an expression that represents the length (in feet) of the extended table.
6 + 2x; Th e length of the extended table is the length of the original table, 6 feet, plus the lengths of the two leaves that are each x feet.
What is Ms. Tingus' favorite topic in algebra 2?
Trigonometry