bot I need your help.
1:Multiple Choice
Which of the following are algebraic expressions? Choose all that apply.
(2 points)
Responses
5(6 – 2)
12 3
11 + x
13 • 5
a • b • c
2:Which is an algebraic expression for 5 more than z squared?
(1 point)
Responses
5z
z + 5
2z + 5
z^2 + 5
3:Which word phrase can be used to represent the algebraic expression 4(21 + n)?
(1 point)
Responses
four plus the sum of 21 and a number n
four times the product of 21 and a number n
four times the sum of 21 and a number n
four less than the sum of 21 and a number n
4:Which is an algebraic expression for the word phrase: 8 less than the product of 12 and a number?
(1 point)
Responses
12x – 8
8 – 12 x
12 – 8 x
8x – 12
5:Suppose an amusement park charges an entry fee of $25. In addition, each ride costs $1.50 and each show costs $2.25. If r represents the number of rides and s represents the number of shows, which algebraic expression represents the total cost?
(1 point)
Responses
1.5r + 2.25s
25(1.5 r + 2.25 s )
25 + 1.5 r + 2.25 s
25 + 1.5 + 2.25 + r + s
1: The algebraic expressions are: 5(6-2), 11 + x, a • b • c.
2: The algebraic expression for 5 more than z squared is z^2 + 5.
3: The word phrase that represents the algebraic expression 4(21 + n) is "four times the sum of 21 and a number n".
4: The algebraic expression for "8 less than the product of 12 and a number" is 12x - 8.
5: The algebraic expression that represents the total cost is 25 + 1.5r + 2.25s.
Let's break down each question and find the correct answers step-by-step:
1: Multiple Choice
Which of the following are algebraic expressions? Choose all that apply.
- 5(6 – 2): This is an algebraic expression.
- 12 3: This is not an algebraic expression.
- 11 + x: This is an algebraic expression.
- 13 • 5: This is not an algebraic expression.
- a • b • c: This is not an algebraic expression.
Therefore, the correct answers are 5(6 – 2) and 11 + x.
2: Which is an algebraic expression for 5 more than z squared?
- 5z: This is not the correct expression.
- z + 5: This is the correct expression.
- 2z + 5: This is not the correct expression.
- z^2 + 5: This is not the correct expression.
Therefore, the correct answer is z + 5.
3: Which word phrase can be used to represent the algebraic expression 4(21 + n)?
- Four plus the sum of 21 and a number n: This is not the correct phrase.
- Four times the product of 21 and a number n: This is not the correct phrase.
- Four times the sum of 21 and a number n: This is the correct phrase.
- Four less than the sum of 21 and a number n: This is not the correct phrase.
Therefore, the correct answer is four times the sum of 21 and a number n.
4: Which is an algebraic expression for the word phrase: 8 less than the product of 12 and a number?
- 12x – 8: This is the correct expression.
- 8 – 12x: This is not the correct expression.
- 12 – 8x: This is not the correct expression.
- 8x – 12: This is not the correct expression.
Therefore, the correct answer is 12x – 8.
5: Suppose an amusement park charges an entry fee of $25. In addition, each ride costs $1.50 and each show costs $2.25. If r represents the number of rides and s represents the number of shows, which algebraic expression represents the total cost?
- 1.5r + 2.25s: This is the correct expression.
- 25(1.5 r + 2.25 s ): This is not the correct expression.
- 25 + 1.5 r + 2.25 s: This is not the correct expression.
- 25 + 1.5 + 2.25 + r + s: This is not the correct expression.
Therefore, the correct answer is 1.5r + 2.25s.
I hope this helps! Let me know if you have any other questions.