Simplifying Expressions
3a + 2a
5a
6a + 12b
6(a + 2b)
3(a + 4)
3a + 12
What is the formula for perimeter?
P = S1 + S2 + S3 + S4
What is 56 - (-108)?
164
5a - 4 - a
4a - 4
2ab + 4a
2a(b + 2)
What's 3/4(16n + 24) equivalent to?
12n + 18
If a square has sides equaling 4s + 1 in each, what is the perimeter?
16s + 4 in
A crew of highway workers paved 2/15 miles in 20 minutes. If they work at the same rate, what portion of a mile will they pave in one hour?
2/5 of a mile
–5ab + 3c + 8 – 2ab + 3
-7ab + 3c + 11
24cd + 30c
6c(4d + 5)
Distribute (1/3)(9n - 2) + 4n + 1/3
4n - 1/3
A rectangle has one side equal to 2s ft, and one side equal to 3s + 1/2 ft, what is the perimeter?
2s + 2s + 3s + 1/2 + 3s + 1/2
= 10s + 1 ft
In the morning a farm worker packed 3 pints of strawberries every 4 minutes. In the
afternoon, she packed 2 pints of strawberries every 3 minutes. What was the difference between
her morning and afternoon packing rates, in pints per hour?
5 pints per hour
(–2.6k + 4.1) – (15.7k – 8.5)
-18.3k + 12.7
2a + 3 + 7a
3(3a + 1)
2/5(5x + 1/2) + 1/5(6x - 1/2)
(21/5)x
OR
(4 & 1/5)x
A triangle has a perimeter that equals 9x - 9.6, what is the length of one side?
3x - 3.2
Is (-1/2)100 a positive or negative number? Why?
It will be a POSITIVE 1/2 because any negative to an even exponent, is positive (negatives will cancel out)
(3/5)(w+3) + (1/2)w - 2
(11/10)w - (1/5)
OR
1 (1/10)w - (1/5)
5y + 10 - 25y
10(1 - 2y)
Are –18 − (1/2)(50z + 60) − 35z and 6(–12 – 10z + 4) equivalent?
NO
-48 - 55z & -48 - 60z are not equal
A triangle has sides (3x + 2y cm), (12x + 1z cm), and (2z - 5y cm) write an expression that represents the perimeter
15x - 3y + 3z cm
Does (3/4)/(8/9) equal (1/2)/(14/15)?
NO
(27/32) does not equal (15/28)