🧮 algebra

1. **Problem:** Make $x$ the subject of the equation $y = x + 5$. 2. **Formula and rules:** To make $x$ the subject, isolate $x$ on one side of the equation by performing inverse o

1. The problem is to find the square root of a number $n$, which means finding a number $x$ such that $x^2 = n$. 2. The formula for the square root is $x = \sqrt{n}$.

1. **Problem Statement:** We are asked to find the value of the function $f(x)$ at $x = -3$ based on the graph description. 2. **Given Information:** The graph passes near $(-4, -3

1. **State the problem:** We are given the function $$E(z) = \frac{z^2}{z^2 + 3z + 2}$$ and asked to determine $$E(k)$$ using the matching approach. 2. **Factor the denominator:**

1. **State the problem:** Simplify the expression $x - \frac{2}{3} + x + \frac{4}{4}$. 2. **Combine like terms:** The terms with $x$ are $x$ and $x$, so add them:

1. **State the problem:** We need to identify which equation corresponds to the graphed line. 2. **Analyze the graph:** The line passes through the origin (0,0) and slopes upward t

1. The problem is to solve the equation $$(-10x + 6)(\ ) = -4(\ )$$ where the parentheses are empty and need to be filled or interpreted. 2. Since the parentheses are empty, this e

1. **State the problem:** We need to determine the slope $m$ of the line passing through the points given in the table: $(-1, -15)$, $(0, -10)$, and $(1, -5)$. 2. **Recall the form

1. **State the problem:** Solve the exponential equation $$37^{-4x} + 16 = 41$$ for $x$ and approximate the result to three decimal places. 2. **Isolate the exponential term:** Sub

1. The problem asks for the difference between the maximum and minimum values of a function shown on a graph. 2. From the graph description, the maximum value of the function is ap

1. The problem is to find the solution to the equation given by the user. 2. Since the user did not specify any particular equation, I cannot solve it directly.

1. Problem: Simplify the radical expression $\sqrt{5}(2 + \sqrt{5})$. 2. Use the distributive property: $a(b + c) = ab + ac$.

1. **State the problem:** Solve the linear equation $-10x + 6 = -4$ for $x$. 2. **Isolate the variable term:** Subtract 6 from both sides to move constants to the right side.

1. Stating the problem: Convert each decimal number to a fraction or mixed number and simplify. 2. Important rule: To convert a decimal to a fraction, write the decimal without the

1. The problem is to convert the fraction $\frac{21}{70}$ to a decimal. 2. To convert a fraction to a decimal, divide the numerator by the denominator.

1. **State the problem:** We are given the linear function $y = -2x + 3$ and want to understand its properties. 2. **Formula and explanation:** This is a linear equation in slope-i

1. **State the problem:** Solve the simultaneous equations: $$y = 3x + 2$$

1. O problema pede para decompor um polinômio em fatores, ou seja, expressá-lo como um produto de polinômios de grau menor. 2. Para isso, precisamos saber qual é o polinômio a ser

1. El problema pide hacer la tabla de valores para la función o expresión que se encuentra a la izquierda y a la derecha, pero no se especifica ninguna función o expresión concreta

1. The problem appears to involve simplifying and solving algebraic expressions involving powers and variables. 2. Let's start by interpreting the expression: $$7(9x)^2 - 9x^2$$.

1. **State the problem:** Solve the equation $3 (b + 3) - 3b = 9$ for $b$. 2. **Apply the distributive property:** Multiply 3 by each term inside the parentheses.