🧮 algebra

1. The problem is to simplify and verify the expression $\left(9^{\frac{1}{2}}\right)^2$. 2. Recall the exponent rule: $\left(a^m\right)^n = a^{m \cdot n}$.

1. Bạn muốn nâng cao hơn trong toán học, vậy chúng ta sẽ xem xét một bài toán nâng cao về giải phương trình bậc hai. 2. Bài toán: Giải phương trình $$ax^2 + bx + c = 0$$ với $$a \n

1. **Problem Statement:** Calculate the total pay for a salesperson who sold the expected minimum sales of $95,000. 2. **Given:**

1. **State the problem:** A salesperson earns a weekly salary of 1250, a commission of 6% on all sales, and a bonus of 2% on sales above 5000. We need to find her total earnings if

1. **State the problem:** Wanda's restaurant spent 126.83 on paper products, which is 22% of the total purchase. We need to find the total amount spent on the entire shopping trip.

1. **State the problem:** We are given the cost to rent a moving truck for one day based on the distance driven in miles. The cost increases by the same amount per mile. We need to

1. **State the problem:** A retailer buys a baby stroller for 35. The expenses are 50% of sales, and the retailer wants a profit of 20% of sales. We need to find the selling price.

1. **State the problem:** We have membership data for years 2000, 2005, 2010, and 2015 with values 11,100,000; 12,600,000; 14,100,000; and 15,600,000 respectively. We want to analy

1. **Problem Statement:** We have a triangular pattern of solar cells where the number of cells added at each stage increases by 1, starting from 1 cell at stage 1.

1. **State the problem:** Solve the equation $\log x - 3 \log 2 = 2$ for $x$.\n\n2. **Recall logarithm properties:**\n- $a \log b = \log b^a$\n- $\log a - \log b = \log \frac{a}{b}

1. **Stating the problem:** Convert the repeating decimal $2.31\overline{2}$ into a fraction. 2. **Understanding the repeating decimal:** The decimal $2.31\overline{2}$ means the d

1. **State the problem:** Kylie rented skis for 35 and took 5 hours of group skiing lessons, paying a total of 175. We need to find the cost per hour of the skiing lessons. 2. **De

1. **State the problem:** Herman and his dad need to travel 210 miles to a lacrosse tournament. They drive for 2 hours, then stop to eat. The dad drives at 60 miles per hour. We ne

1. **State the problem:** Lucy sold 4 scarves for the same amount each and then spent 10.50 of her total earnings on a sweater. After that, she had 7.50 left. We need to find the v

1. **State the problem:** Mrs. Rodriguez buys 4 pajama sets during a sale where each set is $6 less than the full price. She pays a total of 68. We need to find the full price of o

1. **State the problem:** Lauren's class is traveling 62.5 miles to a museum, stopping after 0.5 hours at a wildlife refuge. The bus speed is 50 mph. We need to find the time for t

1. **State the problem:** Cameron sold 7 classic paperbacks for cash, then spent 4 of his earnings on a book light and had 6.50 left. We need to find the value of each paperback. 2

1. **Problem Statement:** Prove that the sum of three consecutive odd numbers is divisible by 3. 2. **Define the numbers:** Let the first odd number be $n$, where $n$ is an odd int

1. **State the problem:** We are given a total cost of 522, which is the sum of a package cost of 314 and 26 times the cost of an exploration kit. We need to find the cost of one e

1. **State the problem:** Chad's family is traveling 390 miles to Greenbow State Park. They drive for 4 hours in the morning at an average speed of 60 miles per hour, then stop for

1. **State the problem:** Tori's family needs to travel 325 miles. They drive 3 hours in the morning and then stop for lunch. Their average speed for the whole trip is 50 miles per