Question

Simplify as a whole number: 22⋅332^2\cdot3^32
2
⋅3
3

Answer 1

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

Answer 2

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.

Answer 3

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

Answer 4

Simplify

−15�+3−25�−6-\frac{1}{5}r+3-\frac{2}{5}r-6−
5
1
​
r+3−
5
2
​
r−6

Answer 5

−3q+9−6+2q

Answer 6

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.

Answer 7

The expressions that are equivalent to 6m + 18 are:

A) 6(m + 3)
C) 6 + m + 18
D) 2(3m + 9)

Answer 8

The expression to find the total cost of the bowling trip for (f) friends would be:
2f + 15

Answer 9

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

Answer 10

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

Answer 11

To simplify the expression, combine like terms:

-3q + 9 - 6 + 2q

Combine the q terms:

-3q + 2q

= -q

Combine the constant terms:

9 - 6

= 3

The simplified expression is:

-q + 3