🧮 algebra

1. **Stating the problem:** We need to determine which fractions in each 2x2 grid can be reduced to the fraction at the center of that grid. 2. **Important rule:** A fraction $\fra

1. **Problem Statement:** We need to determine which fractions from the given tiles can be reduced to the fraction at the center of each grid.

1. **State the problem:** Solve the equation $ (K + 10)^2 = 100 $ for $ K $. 2. **Formula and rules:** The equation is a quadratic in the form $ (x)^2 = a $, which can be solved by

1. Increase 28 by 125%. - Formula: New value = Original value \times (1 + Percentage increase)

1. **State the problem:** We want to analyze the function $$y = x^2 (x-2)^2$$. 2. **Formula and rules:** This is a polynomial function. To understand its behavior, we can expand an

1. The problem involves analyzing and identifying functions, points, and equations given in the prompt. 2. For the functions:

1. The problem asks to identify the type of algebraic expression with terms having non-zero coefficients and variables with non-zero negative integer exponents. - Such expressions

1. **State the problem:** Given the quadratic equation $y = x^2 - 7x + 11$, find $a^2 + b^2$ where $a$ and $b$ are the roots. 2. **Recall the formulas:** For a quadratic equation $

1. **State the problem:** We need to sketch the curve of the function $$y=(x+1)(x-1)(2-x)$$. 2. **Identify the function and its factors:** The function is a cubic polynomial expres

1. The problem is to simplify the expression $\frac{2}{a}$. 2. The expression $\frac{2}{a}$ is already in its simplest form because it is a fraction with numerator 2 and denominato

1. **State the problem:** Simplify the expression $$(x+1)(x-1)(2-x)$$. 2. **Recall the formula:** The product of binomials can be simplified by using the distributive property and

1. The problem is to simplify an expression or solve a problem in a simpler way. 2. To simplify algebraic expressions, use basic arithmetic operations, combine like terms, and appl

1. **Stating the problem:** Solve the linear equation with one unknown, for example, $3x + 5 = 20$. 2. **Formula and rules:** A linear equation in one variable $x$ has the form $ax

1. مسئلہ یہ ہے کہ آپ کو سبسٹیٹیوشن کا طریقہ سمجھنا ہے۔ 2. سبسٹیٹیوشن کا مطلب ہے کہ ایک ویری ایبل کی جگہ دوسرے ویری ایبل یا ایکسپریشن کو رکھنا۔

1. **State the problem:** Solve the equation $$(K + 10)^2 = 100$$ for $K$. 2. **Formula and rules:** To solve an equation of the form $$(x)^2 = a$$, take the square root of both si

1. **State the problem:** We are given two positive integers $x$ and $y$ such that $x > y$ and the equation $x + xy = 247$. We need to find the value of $x + y$. 2. **Rewrite the e

1. **State the problem:** We are given the system of equations: $$y+4=(x-2)^2$$

1. The problem states that $x \neq y$, which means $x$ is not equal to $y$. This is an inequality condition rather than an equation. 2. In algebra, the notation $x \neq y$ simply m

1. **State the problem:** We are given the system of equations: $$y+4=(x-2)^2$$

1. The problem is to expand the expression $ (a-b)^2 $. 2. We use the formula for the square of a binomial:

1. Convert the given speeds into km/hr. (i) 90 km/hr is already in km/hr.