Question

Question 1

A)3 raised to what power is equal to 81?(1 point)
$$
Question 2
A)Evaluate (913)2.(1 point)
$$
Question 3
A)What are the variables in the equation y=3x−4?(1 point)
Responses

x only
x only

x and y
x and y

3 and 4
3 and 4

y only
y only
Question 4
A)A sign is being painted that includes 3 small squares with a side length of s and 2 large ones with a side length of S. Write an expression to find the total area of the sign that needs to be painted.(1 point)
Responses

2S2+3s2
2 upper S squared plus 3 s squared

3S2−2s2
3 upper S squared minus 2 s squared

2S2−3s2
2 upper S squared minus 3 s squared

3S2+2s2
3 upper S squared plus 2 s squared
Question 5
A)Evaluate the expression at specific values of their variables.(1 point)
Evaluate a5 − bc + 4a ÷ c when a = 2, b = 3, and c = 8. $$
Question 6
A)The expression 25c+48a represents the total cost for a group of children and adults to attend the amusement park. The variable c represents the number of children attending. The variable a represents the number of adults attending. What is the total cost for 12 children and 4 adults?(1 point)
The total cost is $$$.
Question 7
A)A truck rental costs $2 per miles, m, driven plus a $24 rental fee. Translate the words into an algebraic expression.(1 point)
The expression is $$.
Question 8
A)The expression 5p is given. What is this expression translated into words?(1 point)
Responses

the quotient of 5 and a number p
the quotient of 5 and a number p

the difference of 5 and a number p
the difference of 5 and a number p

the product of 5 and a number p
the product of 5 and a number p

the sum of 5 and a number p
the sum of 5 and a number p
Question 9
A)What is the coefficient in the expression 9+8b−56?(1 point)
$$
Question 10
A)Simplify: 12−4÷43+1.(1 point)
$$
Question 11
A)Apply the Associative and Commutative Properties to generate an expression equivalent to 2(a+5)+4(2a+3)−10.(1 point)
Responses

12a+10
12 A plus 10

10a +12
10 A plus 12

10a +22
10 A plus 22

9a +12
9 A plus 12
Question 12
A)Which of the following expressions is not equivalent to the rest?(1 point)
Responses

5+m−12
5 plus m minus 12

17⋅m⋅7+7
Start Fraction 1 over 7 End Fraction times m times 7 plus 7

m⋅1+7
m times 1 plus 7

18+m−11
18 plus m minus 11
Question 13
A)Complete the following stepped-out solution to show that −7+[(8⋅m)⋅18]+7 is equivalent to m. (2 points)
−7+ $$ +[(8⋅m)⋅18] Commutative Property of Addition
$$+[(8⋅m)⋅18] Inverse Property of Addition
(8⋅m)⋅18 Identity Property of Addition
(8⋅$$)⋅ m Associative Property of Multiplication
($$ )⋅m Inverse Property of Multiplication
m Identity Property of Multiplication
Question 14
A)Which of the following pairs of expressions are equivalent?(1 point)
Responses

6(y+3) and 6⋅y+3
6 left parenthesis y plus 3 right parenthesis and 6 times y plus 3

12⋅t+6 and 12(t+12)
12 times t plus 6 and 12 left parenthesis t plus Start Fraction 1 over 2 End Fraction right parenthesis

8⋅c+40 and 8(c−5)
8 times c plus 40 and 8 left parenthesis c minus 5 right parenthesis

−5(a−1) and −5⋅a−5
negative 5 left parenthesis a minus 1 right parenthesis and negative 5 times a minus 5
Question 15
A)Terry was asked to evaluate 27. He multiplied 2 times 7 and got the answer 14. Explain why Terry’s answer is incorrect. Then, evaluate 27.(4 points)

Answer 1

[AI-generated answer — Bot GPT 3.5]

Answer to Question 1:

3 raised to the power of 4 is equal to 81.

Answer to Question 2:
The evaluation of (913)2 is 82849.

Answer to Question 3:
The variables in the equation y=3x−4 are x and y.

Answer to Question 4:
The expression to find the total area of the sign that needs to be painted is 2S^2 + 3s^2.

Answer to Question 5:
When a = 2, b = 3, and c = 8, the evaluation of a^5 − b*c + 4*a ÷ c is 32.

Answer to Question 6:
The total cost for 12 children and 4 adults attending is $452.

Answer to Question 7:
The algebraic expression for the truck rental costs is 2m + 24.

Answer to Question 8:
The expression 5p is translated into words as "the product of 5 and a number p."

Answer to Question 9:
The coefficient in the expression 9+8b−56 is 8.

Answer to Question 10:
The simplified version of 12−4÷43+1 is 11.

Answer to Question 11:
Applying the Associative and Commutative Properties, an expression equivalent to 2(a+5)+4(2a+3)−10 is 10a + 22.

Answer to Question 12:
The expression m⋅1+7
is not equivalent to the rest.

Answer to Question 13:
The stepped-out solution to show that −7+[(8⋅m)⋅18]+7 is equivalent to m is as follows:
-7 + $$
= (8⋅m)⋅18
= (8⋅$$)⋅ m
= $$ ⋅m
= m

Answer to Question 14:
The pair of expressions that are equivalent are 12⋅t+6 and 12(t+12).

Answer to Question 15:
Terry's answer is incorrect because 2 times 7 does not equal 27. The correct evaluation of 27 would be 27 since it is a single number.

Answer 2

Question 1

A)3 raised to what power is equal to 81?(1 point)
$$
Question 2
A)Evaluate (9/13)^2.(1 point)
$$
Question 3
A)What are the variables in the equation y=3x−4?(1 point)
Responses

x only
x only

x and y
x and y

3 and 4
3 and 4

y only
y only
Question 4
A)A sign is being painted that includes 3 small squares with a side length of s and 2 large ones with a side length of S. Write an expression to find the total area of the sign that needs to be painted.(1 point)
Responses

2S^2+3s^2

3S^2−2s^2
3 upper S squared minus 2 s squared

2S^2−3s^2
2 upper S squared minus 3 s squared

3S^2+2s^2
3 upper S squared plus 2 s squared
Question 5
A)Evaluate the expression at specific values of their variables.(1 point)
Evaluate a5 − bc + 4a ÷ c when a = 2, b = 3, and c = 8. $$
Question 6
A)The expression 25c+48a represents the total cost for a group of children and adults to attend the amusement park. The variable c represents the number of children attending. The variable a represents the number of adults attending. What is the total cost for 12 children and 4 adults?(1 point)
The total cost is $$$.
Question 7
A)A truck rental costs $2 per miles, m, driven plus a $24 rental fee. Translate the words into an algebraic expression.(1 point)
The expression is $$.
Question 8
A)The expression 5p is given. What is this expression translated into words?(1 point)
Responses

the quotient of 5 and a number p
the quotient of 5 and a number p

the difference of 5 and a number p
the difference of 5 and a number p

the product of 5 and a number p
the product of 5 and a number p

the sum of 5 and a number p
the sum of 5 and a number p
Question 9
A)What is the coefficient in the expression 9+8b−56?(1 point)
$$
Question 10
A)Simplify: 12−4÷4/3+1.(1 point)
$$
Question 11
A)Apply the Associative and Commutative Properties to generate an expression equivalent to 2(a+5)+4(2a+3)−10.(1 point)
Responses

12a+10
12 A plus 10

10a +12
10 A plus 12

10a +22
10 A plus 22

9a +12
9 A plus 12
Question 12
A)Which of the following expressions is not equivalent to the rest?(1 point)
Responses

5+m−12
5 plus m minus 12

17⋅m⋅7+7
Start Fraction 1 over 7 End Fraction times m times 7 plus 7

m⋅1+7
m times 1 plus 7

18+m−11
18 plus m minus 11
Question 13
A)Complete the following stepped-out solution to show that −7+[(8⋅m)⋅1/8]+7 is equivalent to m. (2 points)
−7+ $$ +[(8⋅m)⋅1/8] Commutative Property of Addition
$$+[(8⋅m)⋅1/8] Inverse Property of Addition
(8⋅m)⋅1/8 Identity Property of Addition
(8⋅$$)⋅ m Associative Property of Multiplication
($$ )⋅m Inverse Property of Multiplication
m Identity Property of Multiplication
Question 14
A)Which of the following pairs of expressions are equivalent?(1 point)
Responses

6(y+3) and 6⋅y+3
6 left parenthesis y plus 3 right parenthesis and 6 times y plus 3

12⋅t+6 and 12(t+12)
12 times t plus 6 and 12 left parenthesis t plus Start Fraction 1 over 2 End Fraction right parenthesis

8⋅c+40 and 8(c−5)
8 times c plus 40 and 8 left parenthesis c minus 5 right parenthesis

−5(a−1) and −5⋅a−5
negative 5 left parenthesis a minus 1 right parenthesis and negative 5 times a minus 5
Question 15
A)Terry was asked to evaluate 27. He multiplied 2 times 7 and got the answer 14. Explain why Terry’s answer is incorrect. Then, evaluate 27.(4 points)

Answer 3

[AI-generated answer — Bot GPT 3.5]

Answer to Question 1:

3 raised to the power of 4 is equal to 81.

Answer to Question 2:
The evaluation of (9/13)^2 is 81/169.

Answer to Question 3:
The variables in the equation y=3x−4 are x and y.

Answer to Question 4:
The expression to find the total area of the sign that needs to be painted is 2S^2 + 3s^2.

Answer to Question 5:
When a = 2, b = 3, and c = 8, the evaluation of a5 − bc + 4a ÷ c is 5.

Answer to Question 6:
The total cost for 12 children and 4 adults attending is $756.

Answer to Question 7:
The algebraic expression for the truck rental costs is 2m + 24.

Answer to Question 8:
The expression 5p is translated into words as "the product of 5 and a number p."

Answer to Question 9:
The coefficient in the expression 9+8b−56 is 8.

Answer to Question 10:
The simplified version of 12−4÷4/3+1 is 11.

Answer to Question 11:
Applying the Associative and Commutative Properties, an expression equivalent to 2(a+5)+4(2a+3)−10 is 2a + 10.

Answer to Question 12:
The expression m⋅1+7 is not equivalent to the rest.

Answer to Question 13:
The stepped-out solution to show that −7+[(8⋅m)⋅1/8]+7 is equivalent to m is as follows:
-7 + $$
= (8⋅m)⋅1/8
= (8⋅$$)⋅m
= $$ ⋅m
= m

Answer to Question 14:
The pair of expressions that are equivalent is 6(y+3) and 6⋅y+18.

Answer to Question 15:
Terry's answer is incorrect because 2 times 7 is not the correct way to evaluate 27. The correct evaluation of 27 is simply 27.