🧮 algebra

1. The problem is to simplify and solve the expression $(r - 7)(r + 6)$ for given values of $r$. 2. The formula used is the distributive property (FOIL method) for multiplying bino

1. **State the problem:** Solve the equation $9 = 12x - 3x^2$ by factoring. 2. **Rewrite the equation in standard form:** Move all terms to one side:

1. The problem is to correct and answer the unanswered question, but since no specific math question is provided, I will demonstrate how to solve a common algebra problem: solving

1. **State the problem:** Multiply and simplify the expression $$\frac{14a - 21a^2}{9a^2 + 6a + 1} \times \frac{9a^2 + 9a + 2}{9a^2 - 4}$$

1. **State the problem:** Multiply and simplify the expression $$\frac{12x - 8}{9} \times \frac{6}{2 - 3x}$$. 2. **Write the expression:**

1. **State the problem:** Subtract fractions with unlike denominators, such as $$\frac{3x}{4x} - \frac{1x}{2x}$$. 2. **Formula and rule:** To subtract fractions with different deno

1. Soal: Hitung nilai $x$ jika $2x + 5 = 15$.\n\n2. Gunakan rumus persamaan linear: $ax + b = c$.\n\n3. Langkah pertama, kurangi kedua sisi dengan 5: $$2x + 5 - 5 = 15 - 5$$\n\n4.

1. **State the problem:** Calculate the value of the expression $(-5) - (-19)$. 2. **Recall the rule:** Subtracting a negative number is the same as adding its positive counterpart

1. The problem is to calculate the difference between pairs of integers, including positive and negative numbers. 2. The formula for subtracting integers is: $$a - b = a + (-b)$$ w

1. **State the problem:** Find the ending balance using simple interest for $34,100 at 4% for 3 years. 2. **Formula:** The simple interest formula is $$A = P(1 + r y)$$ where:

1. **State the problem:** Determine if the relation $y = 2x(-6x + 4)$ is linear, quadratic, or neither, and identify its degree. 2. **Rewrite the expression:** Distribute $2x$ over

1. The problem asks to identify which function is not quadratic. 2. A quadratic function is generally of the form $$f(x) = ax^2 + bx + c$$ where $a \neq 0$.

1. **Problem Statement:** Label the axes of the graph showing average temperature in Fairbanks, Alaska, and create a table of values for the points on the graph with their meanings

1. **State the problem:** We have a graph showing average temperature in Fairbanks, Alaska over a three-week period.

1. **State the problem:** A worker checks 4 cartons of eggs (each with 12 eggs) and finds 8 broken eggs. We want to predict the number of broken eggs in more cartons based on this

1. **State the problem:** Simplify the expression $$(x^{-3} y^{5} z^{-4}) \cdot (x^{6} y^{-7} z^{-2})$$ and verify if the answer $x^{3} y^{-2} z^{-6}$ is correct. 2. **Recall the r

1. **State the problem:** Simplify the expression $$\frac{96h^{5}r^{18} + 36h^{10}r^{12} - 120h^{45}r^{3}}{12h^{5}r^{3}}$$ where $h \neq 0$ and $r \neq 0$. 2. **Write the expressio

1. **Problem Statement:** The graph shows the relationship between temperature and time throughout the day. We need to explain what happens when the graph increases, identify time

1. **State the problem:** We have a linear function graphed as a straight line passing through points including (-2,7), (0,5), and (6,1). We need to find outputs for given inputs,

1. **State the problem:** We are given the function $g(x) = 1 + \left(\frac{2x^{3}}{2} - x^{2}\right)$ and need to simplify it. 2. **Write the function clearly:**

1. **Énoncé du problème :** Résoudre l'équation $3x + 5 = 2x - 10$. 2. **Formule et règles importantes :** Pour résoudre une équation linéaire, on cherche à isoler $x$ en regroupan