Simplify as a whole number: 22⋅332^2\cdot3^32
2
⋅3
3
To simplify the expression, we can first simplify each part separately and then multiply them together.
22 = 4 × 4 + 4 = 16 + 4 = 20
332^2 = 332 × 332 = 110,224
3^32 ÷ 3^2 = 3^(32-2) = 3^30 = 2,996,423,841
20 × 110,224 × 2,996,423,841 = 5,992 × 110,224 × 2,996,423,841
= 2,219,086,000 × 2,996,423,841
= 6,651,700,069,968,260,000
So, the simplified expression as a whole number is 6,651,700,069,968,260,000.
Which expressions are equivalent to 6m + 18? Select all that apply.
A
6(m + 3)
B
6(m + 18)
C
6 + m + 18
D
2(3m + 9)
E
5m + 10 + 8 + m
The expressions that are equivalent to 6m + 18 are:
A) 6(m + 3)
C) 6 + m + 18
D) 2(3m + 9)
A group of friends are going bowling.
The bowling alley charges $2 per person for shoes plus a fee of $15 for the lane.
Write an expression to find the total cost of the bowling trip for (f) friends.
The expression to find the total cost of the bowling trip for (f) friends would be:
2f + 15
Choose the name of the student who wrote an incorrect expression.
A
Luis: 2(2�)+2(5�+1)2(2x)+2(5x+1)2(2x)+2(5x+1)
B
Katrin: 2(5�+1)+2�2(5x+1)+2x2(5x+1)+2x
C
Steve: 1+1+�(2+2+5+5)1+1+x(2+2+5+5)1+1+x(2+2+5+5)
D
Anya: 2�+2�+5�+1+5�+12x+2x+5x+1+5x+12x+2x+5x+1+5x+1
The student who wrote an incorrect expression is:
D) Anya: 2�+2�+5�+1+5�+12x+2x+5x+1+5x+12x+2x+5x+1+5x+1
Simplify
−15�+3−25�−6-\frac{1}{5}r+3-\frac{2}{5}r-6−
5
1
r+3−
5
2
r−6
To simplify the expression, combine like terms:
-15r^2 + 3 - 25r - 6 - \frac{1}{5}r + 3 - \frac{2}{5}r - 6 - \frac{5}{2} r - 6
Combine the constant terms:
3 + 3 - 6 - 6 - 6
= -12
Combine the r terms:
-15r^2 - 25r - \frac{1}{5}r - \frac{2}{5}r - \frac{5}{2}r
= -15r^2 - \frac{1}{5}r - \frac{2}{5}r - \frac{5}{2}r - 25r
= -15r^2 - \frac{15}{5}r - \frac{10}{5}r - \frac{25}{2}r
= -15r^2 - 3r - 2r - \frac{25}{2}r
= -15r^2 - 5r - \frac{25}{2}r
The simplified expression is:
-15r^2 - 5r - \frac{25}{2}r - 12