🧮 algebra

1. The problem is to solve the equation $$\frac{2x+3}{4} = 5$$ for $x$. 2. The formula used here is to isolate $x$ by eliminating the denominator and then solving the resulting lin

1. The problem is to solve the equation $$\frac{2x+3}{4} = 5$$ for $x$. 2. The formula used here is to isolate $x$ by eliminating the denominator and then solving the resulting lin

1. The problem is to solve the equation $2x + 3 = 11$ for $x$. 2. The formula used here is to isolate $x$ by performing inverse operations. We subtract 3 from both sides and then d

1. The problem is to solve the equation $2x + 3 = 11$ for $x$. 2. The formula used here is to isolate the variable $x$ by performing inverse operations. We subtract 3 from both sid

1. **Stating the problem:** Simplify the expression $$\frac{x^2 - 2x - 8}{x - 1}$$. 2. **Formula and rules:** To simplify a rational expression, factor the numerator and denominato

1. **State the problem:** Solve the inequality $6x + 2 + 6x < 14$. 2. **Combine like terms:** $6x + 6x = 12x$, so the inequality becomes:

1. **State the problem:** Solve the equation $6x + 2 + 6x = 74$ for $x$. 2. **Combine like terms:** The terms $6x$ and $6x$ are like terms and can be added together.

1. **State the problem:** Randy colors squares in a repeating sequence of 5 colors: green, red, blue, pink, purple. 2. **Goal:** Find the color of the 2017th square.

1. **State the problem:** We want to find the biggest sum of the digits displayed on a 24-hour digital clock in the format HH:MM. 2. **Understand the clock format:** The clock show

1. **State the problem:** We need to find the values of $A$, $B$, and $C$ so that the sum of the numbers on each line equals 9. 2. **Identify the lines and their sums:**

1. **State the problem:** We need to find the values of $A$, $B$, and $C$ in the diagram so that the sum of the three numbers on each line equals 9. 2. **Identify the lines and wri

1. Planteamos el problema: Encontrar el dominio máximo de la función $$g(x) = \frac{x^2 + 3x - 4}{5x - 12 + 2x^2} + \sqrt{\frac{-x(-x - 3)(7 + x)}{5 - x}}$$

1. **State the problem:** We need to find an equation that models the value $V$ of a Certificate of Deposit (CD) after $t$ years, given that $V=5500$ at $t=1$ and $V=7320.50$ at $t

1. **State the problem:** We are given the equation $m \times n = 2x + 3y$ and need to understand or manipulate it. 2. **Identify the variables and operations:** Here, $m$ and $n$

1. **State the problem:** We want to predict the population of Rexburg in 2028 given the population in 2023 and an annual growth rate. 2. **Formula used:** The population growth ca

1. **Stating the problem:** We are given a line on a coordinate plane with points approximately at (-9,5) and (6,-4), and we want to find the slope of this line. 2. **Formula for s

1. **State the problem:** We are given the function $g(x) = 2x - \frac{1}{2}$ and want to understand or analyze it. 2. **Formula and rules:** This is a linear function of the form

1. **State the problem:** Find the slope-intercept form of the line passing through the points $(6, 2)$ and $(-3, -7)$. 2. **Formula used:** The slope-intercept form is given by $$

1. **State the problem:** Find the equation of the line passing through the point $(-3,0)$ with slope $\frac{2}{3}$. 2. **Formula used:** The point-slope form of a line is given by

1. **State the problem:** Solve the quadratic equation $$x^2 - 9x + 20 = 0$$. 2. **Formula and rules:** To solve a quadratic equation of the form $$ax^2 + bx + c = 0$$, we can use

1. The problem asks us to find all numbers $c$ such that $c \geq 3$. 2. The inequality $c \geq 3$ means $c$ is greater than or equal to 3.