🧮 algebra

1. **State the problem:** Solve the equation $$7(x - 4) = -2x + 26$$ for $$x$$. 2. **Apply the distributive property:** Multiply 7 by each term inside the parentheses.

1. **State the problem:** Calculate the value of $16 \left( \frac{8.68}{0.29} \right)^2$. 2. **Formula and rules:** We need to first divide $8.68$ by $0.29$, then square the result

1. The problem asks to rewrite the equation $2x - y - 7 = 0$ into slope-intercept form and identify the slope and y-intercept. 2. The slope-intercept form of a line is given by the

1. **Simplify the fractions $\frac{3}{18}$ and $\frac{18}{45}$.** - To simplify a fraction, divide the numerator and denominator by their greatest common divisor (GCD).

1. The problem is to create another example similar to a previous one, but since no specific problem was given, let's consider a simple algebra problem: Solve for $x$ in the equati

1. **Stating the problem:** We are given the system of equations:

1. **Problem:** Evaluate each power without using a calculator. 2. **Formula and rules:** For any positive number $a$ and rational exponent $m/n$, we use $$a^{\frac{m}{n}} = \sqrt[

1. Muammo: Berilgan ifodani soddalashtiring: $$\frac{2x^2 - 8}{4x}$$. 2. Formulalar va qoidalar: \n- Bo'linishni alohida ko'paytuvchilarga ajratish mumkin.

1. Le problème consiste à résoudre le système linéaire : $$\begin{cases} 0.12x + 0.09y + 0.05z = 8 \\ x + 0.5y = 40 \\ x + y + z = 100 \end{cases}$$

1. The problem is to find the equation of the line given its slope and a point on the line. 2. The formula to find the equation of a line when you know the slope $m$ and a point $(

1. Muammo: 2 ta algebraik mashqni yechish. 2. Birinchi mashqni ko'rib chiqamiz: Masalan, $2x + 3 = 7$ tenglamani yeching.

1. **State the problem:** Solve the system of equations: $$\frac{9}{2}x + 4y = 27$$

1. Le problème consiste à résoudre le système linéaire : $$\begin{cases} 0.12x + 0.09y + 0.05z = 8 \\ x + 0.5y = 40 \\ x + y + z = 100 \end{cases}$$

1. **State the problem:** Solve the system of equations: $$\frac{9}{2}x + 4y = 27$$

1. The problem asks to calculate \( cd \), which means multiplying the variables \( c \) and \( d \).\n\n2. To multiply two variables, you simply write them together: \( cd \).\n\n

1. **State the problem:** Solve the system of equations: $$y = 3x + 5$$

1. The problem is to simplify the algebraic fraction expression: \( \frac{a}{14} + \frac{b}{14} = \frac{a}{2x} + \frac{b}{2x} = \frac{c}{x} + \frac{y}{5x} \). 2. We use the rule th

1. **Problem:** Solve the system of equations: $$y = 3x + 5$$

1. **Problem:** Solve the system of equations: $$y = 3x + 5$$

1. Problem: You want to practice math problems involving natural and rational numbers, including addition, subtraction, multiplication, division, equations, inequalities, and conve

1. **State the problem:** We are given the quadratic function $f(x) = 3(x + 2)(x + 4)$ and want to understand its shape and key features. 2. **Formula and explanation:** The functi