1. Write an algebraic expression for the word phrase: the quotient of r and 12.(1 point)
Responses
r • 12
r • 12
r + 12
r + 12
r ÷ 12
r ÷ 12
r – 12
r – 12
Question 2
2. Write a word phrase for the algebraic expression 3x – 7.(1 point)
Responses
the difference of three times a number x and seven
the difference of three times a number x and seven
the difference of seven and three times a number x
the difference of seven and three times a number x
the quotient of three times a number x and seven
the quotient of three times a number x and seven
three times a number x fewer than seven
three times a number x fewer than seven
Question 3
3. What is the 2nd step in simplifying the expression 4² + 8 ÷ 2 ?(1 point)
Responses
Divide 8 by 2
Divide 8 by 2
Divide 24 by 2
Divide 24 by 2
Add 16 and 8
Add 16 and 8
Square 4
Square 4
Question 4
4. 5 is the square root of what expression(s)? Check all that apply.(1 point)
Responses
10
10
25
25
5²
5²
5+5
5+5
Question 5
(1 point)
5. The square root of 0.81 is
,
Question 6
6. Name the subset(s) of real numbers to which the number zero belongs. Choose all that apply.(1 point)
Responses
irrational numbers
irrational numbers
integers
integers
whole numbers
whole numbers
natural numbers
natural numbers
Question 7
7. Enter your answer and show all the steps that you use to solve this problem in the space provided.
Simplify the Expression.
7+3⋅(9−6)2
(2 points)
0Word(s)
Question 8
8. Homer and Bart plan to buy one computer for 499.00 strictly for gaming purposes. Games cost $49.99 each.
Part A: Define each variable and write an algebraic expression to describe how much they will spend before sales tax, based on purchasing the computer and the number of games?
(2 points)
0Word(s)
Question 9
Part B: If they purchase one computer and five games, how much do they spend before sales tax? Show your work below.
(3 points)
Part A: Let r represent the number of games they purchase. The algebraic expression to describe how much they will spend before sales tax is: 499 + 49.99r.
Part B: If they purchase one computer (499) and five games (5 * 49.99 = 249.95), they will spend 499 + 249.95 = $748.95 before sales tax.
1. Write an algebraic expression for the word phrase: the quotient of r and 12.(1 point)
r • 12
r + 12
r ÷ 12
r – 12
2. Write a word phrase for the algebraic expression 3x – 7.(1 point)
the difference of three times a number x and seven
the difference of seven and three times a number x
the quotient of three times a number x and seven
three times a number x fewer than seven
3. What is the 2nd step in simplifying the expression 4² + 8 ÷ 2 ?(1 point)
Divide 8 by 2
Divide 24 by 2
Add 16 and 8
Square 4
4. 5 is the square root of what expression(s)? Check all that apply.(1 point)
10
25
5²
5+5
(1 point)
5. The square root of 0.81 is
, 9
.9
.09
.91
6. Name the subset(s) of real numbers to which the number zero belongs. Choose all that apply.(1 point)
irrational numbers
integers
whole numbers
natural numbers
The correct answers are:
1. r ÷ 12
2. the difference of three times a number x and seven
3. Divide 8 by 2
4. 25, 5²
5. 0.9
6. integers, whole numbers, natural numbers
1. Write an algebraic expression for the word phrase: the quotient of r and 12.(1 point)
r • 12
r + 12
r ÷ 12
r – 12
2. Write a word phrase for the algebraic expression 3x – 7.(1 point)
the difference of three times a number x and seven
the difference of seven and three times a number x
the quotient of three times a number x and seven
three times a number x fewer than seven
3. What is the 2nd step in simplifying the expression 4² + 8 ÷ 2 ?(1 point)
Divide 8 by 2
Divide 24 by 2
Add 16 and 8
Square 4
4. 5 is the square root of what expression(s)? Check all that apply.(1 point)
10
25
5²
5+5
(1 point)
5. The square root of 0.81 is
, 9
.9
.09
.91
6. Name the subset(s) of real numbers to which the number zero belongs. Choose all that apply.(1 point)
irrational numbers
integers
whole numbers
natural numbers
The correct answers are:
1. r ÷ 12
2. the difference of three times a number x and seven
3. Divide 8 by 2
4. 25, 5²
5. 0.9
6. integers, whole numbers, natural numbers
7. Enter your answer and show all the steps that you use to solve this problem in the space provided.
Simplify the Expression.
7+3⋅(9−6)2
(2 points)
To simplify the expression 7 + 3 * (9 - 6)^2, follow the order of operations (parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right).
1. Start with the parentheses:
9 - 6 = 3
2. Apply the exponent:
3^2 = 9
3. Multiply:
3 * 9 = 27
4. Add:
7 + 27 = 34
Therefore, the simplified expression is 34.