🧮 algebra

1. **State the problem:** Gab walks 80 steps in 2 minutes, each step is 5 dm. We need to find how many minutes it will take her to walk 5000 dm. 2. **Calculate the distance Gab wal

1. The problem states that the marked price (m.p) of an item is 1550 and the discount given is 8%.\n\n2. We need to find the selling price after applying the discount.\n\n3. The di

1. **State the problem:** Simplify the expression $a - 2b + a - b$. 2. **Group like terms:** Combine the terms with $a$ and the terms with $b$ separately.

1. **State the problem:** Simplify the expression $2x + y + 3x + 2y$. 2. **Group like terms:** Combine the terms with $x$ and the terms with $y$ separately.

1. The problem is to fully simplify the expression $5a^3 f^4 \times 3a^2 f^3$. 2. Start by multiplying the coefficients (numbers) together: $5 \times 3 = 15$.

1. **State the problem:** Simplify the expression $$6y^2 + y \times 5 + 8y \times y + 4 \times y$$. 2. **Rewrite the terms:**

1. **State the problem:** Simplify the expression $3y + 5 - y - 2$. 2. **Combine like terms:** Group the terms with $y$ and the constant terms separately.

1. **State the problem:** Expand and fully simplify the expression $$t(9t + 5) - t(t + 2)$$. 2. **Expand each term:**

1. We are given the equation $$(x^3)^8 = (x^6)^d$$ and need to find the value of $d$. 2. Apply the power of a power rule, which states $$(a^m)^n = a^{m \times n}$$.

1. **State the problem:** Simplify the expression $2x - 4 + x + 2$. 2. **Combine like terms:** Group the terms with $x$ and the constant terms separately.

1. The problem asks to express the quadratic expression $x^2 + 6x$ in the form $(x + a)^2 + b$, where $a$ and $b$ are integers. 2. Start by recalling the expansion of a perfect squ

1. **State the problem:** Simplify the expression $x + 3 + x - 1$. 2. **Combine like terms:** Group the $x$ terms and the constant terms separately.

1. The problem states that the marked price (m.p) of an item is 850 and there is a discount of 5%.\n\n2. To find the discount amount, calculate 5% of 850 using the formula: $$\text

1. The expression given is $9b$. 2. This represents the product of the number 9 and the variable $b$.

1. **Problem 9a:** Write down the first four and last two terms of the binomial expansion of $ (2 + x)^n $ where $ n \in \mathbb{Z}^+ $. The binomial expansion formula is:

1. The problem is to express 144 as a product of its prime factors. 2. Start by dividing 144 by the smallest prime number 2: $$144 \div 2 = 72$$.

1. **State the problem:** We have a sequence where each term is obtained by adding 4 to the previous term and then dividing by 2. 2. **Given terms:** The sequence is \(a_1, 6, 5, 4

1. **State the problem:** We have a sequence where each term is found by multiplying the previous term by 4 and then subtracting 34. 2. **Given:** The 12th term, $a_{12} = 25$.

1. The problem gives a sequence with some missing terms and a term-to-term rule: subtract 12. 2. The known terms are the 2nd term = 23 and the 3rd term = 11.

1. المشكلة: لدينا معادلتان خطيتان تمثلان مجموع عددين $x$ و $y$، حيث: $$x + y = 12$$

1. **State the problem:** Simplify the expression $$725 - [20 \times \{10 + 7 + (7 \times 5 - 3)\}]$$. 2. **Calculate inside the parentheses:**