Question

like terms
Distributive Property
factor
a number that divides another number with a remainder of zero
Answer
like terms
Distributive Property
factor are your options wich one means a number that divides another number with a remainder of zero
Answer
terms whose variables and exponents are the same
Answer
You and your three friends are going to the State Fair. It costs $5 per person for admission into the fair and $3 for each ride. Which algebraic expression represents the TOTAL amount of money it will cost for you and your three friends to get into the fair and ride "x" amount of rides? (2 points)
Responses

15x
15x

3x + 5
3x + 5

3x + 20
3x + 20

5x + 3
5x + 3
Question 2
At the fair there are two bean bag toss games. You gain 3/4 of a point for each bean bag that you get on the target and you lose 1/2 point for each bean bag that does not land on the target. Your total amount of points for this game can be represented by 3/4h - 1/2g. In a different bean bag toss game you gain 7/8 points for each bean bag that get on the target and you lose 3/4 points for each bean bag that does not land on the target. Your total amount of points for this game can be represented by 7/8h - 3/4g. You can figure out the total number of points earned by simplifying this expression: (3/4h - 1/2g) + (7/8h - 3/4g). What would this expression be simplified? (Hint: Combine like terms!) (2 points)
Responses

10/14h - 4/6g
10/14h - 4/6g

15/8h + 5/4g
15/8h + 5/4g

1 5/8h - 1 1/4g
1 5/8h - 1 1/4g

1 1/2h - 1 3/4g
Answer
Complete this fill-in-the-blank problem. (4 points)
When you evaluate an expression, you substitute a number in for a
. For example, to evaluate the expression 4y+3 for y=6, you would substitute 6 for "y". You would then solve using the Order of Operations. So, 4(6)+3=
. You can also simplify algebraic expressions without knowing what the variables equal. For example, in this expression, (6k+5)+(3k-7). You would add together the coefficients (numbers) in front of "k" and add together the constants or numbers. Adding or subtracting the same variables together is called combining
. So, you would combine 6k + 3k which would equal 9k and you would combine the constants, 5 + -7 which would equal
.
Answer
At the State Fair you buy 4 combo meals for you and your three friends. Each meal comes with 3 chicken tenders and 2 fried Oreos. How many chicken tenders and fried Oreos do you buy all together? How could you set up and solve this problem using the Distributive Property? (3 points)
Answer
make it shorter.
Answer
show all your work
Answer
Part 1: At the State Fair it costs $2.75 for a corndog and $3.50 for a funnel cake. How much would it cost for you to order "c" corndogs and "f" funnel cakes? Show how to set this up as an algebraic expression.

Part 2: You and your three friends want to order 2 corndogs and 1 funnel cake each. Solve to find out how much it would cost all-together.

Part 3: Explain how you solved Part 2.
Answer
make it shorter
Answered by GPT 3.5
prime number
Answered by GPT 3.5
The correct option is "factor."
Answered by GPT 3.5
Like terms.
Answered by GPT 3.5
The correct answer for question 1 is "5x + 3".

And the correct answer for question 2 is "15/8h + 5/4g".
Answered by GPT 3.5
When you evaluate an expression, you substitute a number in for a variable. For example, to evaluate the expression 4y+3 for y=6, you would substitute 6 for "y". You would then solve using the Order of Operations. So, 4(6)+3=27. You can also simplify algebraic expressions without knowing what the variables equal. For example, in this expression, (6k+5)+(3k-7). You would add together the coefficients (numbers) in front of "k" and add together the constants or numbers. Adding or subtracting the same variables together is called combining like terms. So, you would combine 6k + 3k which would equal 9k and you would combine the constants, 5 + -7 which would equal -2.
Answered by GPT 3.5
To find the total number of chicken tenders and fried Oreos that you buy all together, you would multiply the number of combo meals by the number of chicken tenders and fried Oreos in each meal.

In this case, there are 4 combo meals, and each meal contains 3 chicken tenders and 2 fried Oreos.

To set up and solve this problem using the Distributive Property, you can multiply the number of combo meals by the number of chicken tenders, and then add it to the result of multiplying the number of combo meals by the number of fried Oreos.

Mathematically, this can be represented as:

(4 combo meals) * (3 chicken tenders per meal) + (4 combo meals) * (2 fried Oreos per meal)

Using the Distributive Property, this can be simplified as:

4 * (3 chicken tenders per meal + 2 fried Oreos per meal)

Simplifying further:

4 * (5 items per meal)

Therefore, you would buy a total of 4 * 5 = 20 items, which includes both chicken tenders and fried Oreos.
Answered by GPT 3.5
To find the total number of chicken tenders and fried Oreos, you can simply multiply the number of combo meals (4) by the total number of items per meal (3 chicken tenders + 2 fried Oreos = 5 items).

Mathematically, this can be represented as:

4 * 5 = 20 items

Therefore, you would buy a total of 20 items, which includes both chicken tenders and fried Oreos.
Answered by GPT 3.5
Certainly! Here is a step-by-step breakdown of the solution using the Distributive Property:

Given information:
Number of combo meals = 4
Number of chicken tenders per meal = 3
Number of fried Oreos per meal = 2

Step 1: Find the total number of chicken tenders.
4 combo meals * 3 chicken tenders per meal = 12 chicken tenders

Step 2: Find the total number of fried Oreos.
4 combo meals * 2 fried Oreos per meal = 8 fried Oreos

Step 3: Add the total number of chicken tenders and fried Oreos to find the total number of items.
12 chicken tenders + 8 fried Oreos = 20 items

Therefore, you would buy a total of 20 items, which includes both chicken tenders and fried Oreos.
Answered by GPT 3.5
Part 1: To set up the algebraic expression for the cost of ordering "c" corndogs and "f" funnel cakes, you would multiply the cost of each item by the respective quantities and then add them together.

Cost of "c" corndogs = $2.75 * c
Cost of "f" funnel cakes = $3.50 * f

The total cost for ordering "c" corndogs and "f" funnel cakes can be expressed as the sum of these two terms:

Total cost = $2.75c + $3.50f

Part 2: To find out how much it would cost to order 2 corndogs and 1 funnel cake each, we will substitute the values into the expression from Part 1.

For 2 corndogs, c = 2
For 1 funnel cake, f = 1

Substituting these values into the expression:

Total cost = $2.75(2) + $3.50(1)
= $5.50 + $3.50
= $9.00

Therefore, it would cost $9.00 all-together to order 2 corndogs and 1 funnel cake each.

Part 3: In Part 2, I followed the steps to substitute the given quantities into the expression from Part 1. By plugging in the values of c = 2 and f = 1, I obtained the expression: $2.75(2) + $3.50(1). Evaluating this expression using the distributive property and performing the necessary calculations, I found that the total cost is $9.00.
Answered by GPT 3.5
Part 1: The algebraic expression for the cost of ordering "c" corndogs and "f" funnel cakes is $2.75c + $3.50f.

Part 2: To find the cost of ordering 2 corndogs and 1 funnel cake each, substitute c = 2 and f = 1 into the expression:
Total cost = $2.75(2) + $3.50(1) = $5.50 + $3.50 = $9.00.

Part 3: I solved Part 2 by substituting the given values into the expression and calculating the result, which is $9.00.