🧮 algebra

1. **State the problem:** Solve the equation $6(x+18)=192$ for $x$. 2. **Use the distributive property:** Multiply 6 by each term inside the parentheses.

1. **State the problem:** Solve the equation $$\frac{2x+4}{x-3} = 3$$ for $x$. 2. **Formula and rules:** To solve rational equations, multiply both sides by the denominator to elim

1. **State the problem:** Solve the equation $$\frac{2x+4}{x-3} = 3$$ for $x$. 2. **Formula and rules:** To solve a rational equation, multiply both sides by the denominator to eli

1. **State the problem:** Solve the equation $$\frac{2x+4}{3} = 5$$ for $x$. 2. **Formula and rules:** To solve for $x$ in a fraction equation, multiply both sides by the denominat

1. **State the problem:** Solve the equation $$\frac{2x+4}{x-3} = 3$$ for $x$. 2. **Formula and rules:** To solve a rational equation, multiply both sides by the denominator to eli

1. **State the problem:** Solve the equation $$\frac{2x+4}{3} = 5$$ for $x$. 2. **Formula and rules:** To solve for $x$, we need to isolate $x$ on one side of the equation. We can

1. **State the problem:** Solve the equation $$\frac{2x+4}{3} = 5$$ for $x$. 2. **Formula and rules:** To solve for $x$ in a fraction equation, multiply both sides by the denominat

1. **State the problem:** Solve the equation $$\frac{2x+4}{x-3} = 3$$ for $x$. 2. **Formula and rules:** To solve a rational equation, multiply both sides by the denominator to eli

1. **State the problem:** Solve the equation $$\frac{2x+4}{x-3} = 3$$ for $x$.

1. **State the problem:** Simplify the expression $$\left( \frac{5x^{13} y^5 z^2}{3 \cdot 5^2} \right)^0$$. 2. **Recall the zero exponent rule:** Any nonzero expression raised to t

1. Problem: Simplify the quotient $\frac{a^8}{a^3}$. Use the rule for dividing powers with the same base: $$\frac{x^m}{x^n} = x^{m-n}$$

1. **Problem statement:** A sporting goods store sells 90 ski jackets at 200 each. Each 10 decrease in price results in 5 more jackets sold. Find the number of jackets and price to

1. **Problem statement:** Stephen starts with 16 points and only makes 2-point shots. Robert starts with 14 points and only makes 3-point shots. For every shot Stephen makes, Rober

1. **State the problem:** Solve the equation $ (x - 1)(x + 1) = 4x - 5 $ for $ x $. 2. **Use the formula and expand:** The left side is a product of two binomials. Use the differen

1. **State the problem:** We are given two equations: $$\frac{x}{y} = 4$$

1. **Stating the problem:** We are given the function $$M(t) = 50 \left(\frac{1}{2}\right)^{\frac{t}{18.4}}$$ which models a quantity that decays over time, commonly used to repres

1. **Stating the problem:** Given points $A=(0,0)$, $B=(4,0)$, and $C=(0,4)$, find the equation of the line passing through points $A$ and $B$. 2. **Formula used:** The equation of

1. 问题陈述：求第二行的 $y$ 值。 2. 由于用户未提供具体函数或数据表，假设问题是求函数在第二个输入值对应的输出 $y$。

1. **State the problem:** We have a parent function $f(x) = x^2$ and a transformed function $g$ which is translated right 3 units and down 5 units from $f$. We want to find the equ

1. The problem asks us to find the input values $x$ for which the function $f(x)$ equals 1 based on the given graph points. 2. The points given are $(-7,1)$, $(-6,4)$, $(-2,8.5)$,

1. Let's start by stating the problem: understanding the difference between independent and dependent variables. 2. In mathematics and science, an **independent variable** is the v