Quiz about Algebra Bell work 2/5/2025

Question 1

3 flooring stores provide services in Hernando. Floors Galore charges $6.50 a square foot plus a fee of $100. Tiles & More charges a $120 fee and $5.50 a square foot. Perfect Floors uses the equation y = 6x + 110.

Andrea chooses the company with the greatest rate of change. What company did she choose?

Accepted Answer

Floors Galore

Answer

Perfect Floors

Answer

Tiles & More

Answer

Both Floors Galore and Perfect Floors

Question 2

Solve for the given variable in the equation provided. Solve for e.

$$\frac{3}{4}d + \frac{5}{6}e^2 = \frac{9}{5}$$

Accepted Answer

$$e=\sqrt{\frac{9}{5}-\frac{3}{4}d}$$

Answer

$$e=\sqrt{\frac{9}{5}+\frac{3}{4}d}$$

Answer

$$e=\sqrt[6]{\frac{9}{5}-\frac{3}{4}d}$$

Answer

$$e=\sqrt[5]{\frac{9}{5}-\frac{3}{4}d}$$

Question 3

State the type of solution set the system of equations will produce.

$$\begin{cases} 11x - 10y = 27 \ 2.75x = 2.5y + 6.75 \end{cases}$$

Accepted Answer

Infinitely many solutions

Answer

No solution

Answer

Undefined

Answer

One solution

Question 4

Factor each using the greatest common factor for the following examples:

A) $$10a^3b^2 + 15a^2b - 5ab^3$$

B) $$27s^2t^4 + 36s^5t^3$$

Accepted Answer

A) $$5ab(2a^2b+3a-b^2)$$

B) $$9s^2t^3(3t+4s^3)$$

Answer

A) $$5(2a^3b^2+3a^2b-ab^3)$$

B) $$3st\left(9st^3+12s^4t^3\right)$$

Answer

A) $$5ab(5a^3b^2+15a^2b-ab^3)$$ B) $$9st(18s^2t^4+27s^5t^3)$$

Answer

A) $$5(5a^3b^2+10a^2b-ab^3)$$

B) $$3s^2t^3(24t+33s^3t)$$

Question 5

Tickets to a movie cost $10.50 for adults and $7.00 for students. A group of friends purchased 12 tickets for $94.50. How many tickets of each were bought?

Accepted Answer

$$a+s=12$$ and $$10.5a+7s=94.50$$

3 adult tickets and 9 student tickets

Answer

$$a+s=94.50$$ and $$7a+10.5s=12$$

3 adult tickets and 9 student tickets

Answer

$$a+s=12$$ and $$10.5a+7s=94.50$$

9 adult tickets and 3 student tickets

Answer

$$a+s=12$$ and $$7a+10.5s=94.50$$

9 adult tickets and 3 student tickets

Question 6

Which situations represent an exponential function? Select all that apply.

Accepted Answer

A population of insects is known to triple in size every month.

Accepted Answer

A count in a culture was 400 after 2 hours and 25,600 after 6 hours.

Answer

Every 4 students raise $60.

Answer

The cost to purchase spirit posters are: 2 posters for $5, 4 poster for $9, 6 posters for $13, and 8 posters for $17.

Answer

Every 2 days Ken jogs 4 miles.

Question 7

Given the equation y = (9.25)^x, fill in the table with the Growth/Decay Factor, Growth/Decay Rate, and Initial Value.

Accepted Answer

Growth/Decay Factor: 9.25, Growth/Decay Rate: 825%, Initial Value: 1

Answer

Growth/Decay Factor: 8.25, Growth/Decay Rate: 725%, Initial Value: 1

Answer

Growth/Decay Factor: 9.25, Growth/Decay Rate: 925%, Initial Value: 0

Answer

Growth/Decay Factor: 10.25, Growth/Decay Rate: 925%, Initial Value: 1

Question 8

Amy earned $32,000 during her first year at her new job. After each year, she received a 6.25% raise. Find Amy's total earnings for the first three years on the job.

Accepted Answer

$102,125

Answer

$115,290

Answer

$108,508

Answer

$102,060

Algebra Bell work 2/5/2025

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