Question

Question

Use the order of operations to simplify: 32+42÷22÷13
.(1 point)
Responses

13
13

4.25
4.25

1013
10 Start Fraction 1 over 3 End Fraction

12
12

Answer 1

The correct answer is 13.

Answer 2

Which of the following shows an application of the Distributive Property?(1 point)
Responses

(8+a)+b=8+(a+b)
left parenthesis 8 plus a right parenthesis plus b equals 8 plus left parenthesis a plus b right parenthesis

8(a+b)=8(a)+8(b)
8 left parenthesis a plus b right parenthesis equals 8 left parenthesis a right parenthesis plus 8 left parenthesis b right parenthesis

8×a×b=8×(a×b)
8 times a times b equals 8 times left parenthesis a times b right parenthesis

8+a+b=8+b+a
8 plus a plus b equals 8 plus b plus a

Answer 3

The correct answer is 8(a+b)=8(a)+8(b). This is an application of the distributive property, where you distribute the 8 to both the terms inside the parentheses, resulting in 8 times a plus 8 times b.

Answer 4

Which algebraic expression simplifies to 2?(1 point)
Responses

−(2x+2)+2(x+1)
negative left parenthesis 2 x plus 2 right parenthesis plus 2 left parenthesis x plus 1 right parenthesis

3x+1−3(x−2)+5
3 x plus 1 minus 3 left parenthesis x minus 2 right parenthesis plus 5

3x+1−3(x+2)+7
3 x plus 1 minus 3 left parenthesis x plus 2 right parenthesis plus 7

−(2x+2)+−2(x+1)
negative left parenthesis 2 x plus 2 right parenthesis plus negative 2 left parenthesis x plus 1 right parenthesis

Answer 5

The correct answer is 3x+1−3(x−2)+5.