🧮 algebra

1. **State the problem:** Evaluate the expression $9 + 3(-1)$.\n\n2. **Recall the order of operations:** According to the order of operations (PEMDAS/BODMAS), multiplication is per

1. **State the problem:** Calculate the value of the expression $2 + 0.5(0)$. 2. **Recall the order of operations:** According to the order of operations (PEMDAS/BODMAS), multiplic

1. Let's state the problem: We want to find numerical solutions of algebraic equations using iteration methods. 2. One common iterative method is the Fixed Point Iteration, where w

1. **Statement of the problem:** We have two sequences defined as follows:

1. **State the problem:** Solve the equation $x^2 + y^2 + z^2 = 14$ using the Gaussian method. 2. **Understand the problem:** The equation $x^2 + y^2 + z^2 = 14$ represents a spher

1. **بيان المسألة:** لدينا المتتالية (Un) معرفة ب: $$U_0 = -1$$

1. **State the problem:** We have 850 elephants in total. \n\n2. **Identify the given information:** \n- 1/5 of the elephants are Asian elephants. \n- 40% of the Asian elephants ar

1. **State the problem:** Calculate the percentage profit Théo makes after buying and selling 250 pens at different prices. 2. **Calculate total cost price (CP):**

1. The problem is to calculate the percentage profit when Said sells 15 electric guitars. 2. Cost price (CP) per guitar = 200

1. **State the problem:** We need to calculate the percentage decrease in the dog's weight from January to June. 2. **Formula for percentage change:**

1. **State the problem:** We are given the harmonic mean (HM) and geometric mean (GM) of two numbers and need to find the two numbers. 2. **Given:**

1. **State the problem:** We need to find the lowest integer value of $r$ such that the inequality $7r + 5 > 37 - 3r$ holds true. 2. **Write down the inequality:**

1. **State the problem:** Solve the inequality $$6x + 4 < 17 - 4x$$. 2. **Write the inequality:** $$6x + 4 < 17 - 4x$$.

1. **State the problem:** We are given the function $F(x) = 3x + 2$ and told that $F(x) = 17$. We need to find the value of $x$. 2. **Write the equation:** Since $F(x) = 17$, subst

1. **State the problem:** Solve the inequality $5f - 4 > 38 - 2f$. 2. **Write down the inequality:**

1. The user asks to simplify and combine expressions into a simpler form. 2. To simplify algebraic expressions, combine like terms and use distributive properties.

1. **State the problem:** Sofia drove 45 kilometers and then walked 2 kilometers to a gas station. Her driving speed is 15 times her walking speed. The total time for driving and w

1. **State the problem:** Solve for $a$ in the equation $$172 = 6 \cdot a \cdot \left(\frac{x\sqrt{3}}{4}\right) \cdot 2.$$\n\n2. **Rewrite the equation:** Combine the constants an

1. Énonçons le problème : Résoudre l'équation $$172 = 6 \cdot a \cdot \left( x \frac{\sqrt{3}}{4} \right)$$ pour $a$ en fonction de $x$. 2. Rappelons la formule et les règles impor

1. **State the problem:** We need to find which three expressions are equivalent to $5^2$. 2. **Recall the rules of exponents:**

1. **State the problem:** Rewrite the equation $8x - 2y - 8 = 0$ in slope-intercept form, find the slope and y-intercept, and use them to graph the linear function. 2. **Recall the