🧮 algebra

1. **State the problem:** She needs to mark a trail of length $1 \frac{3}{4}$ km, and she marks $\frac{3}{8}$ km every hour. We want to find how many hours it took to mark the whol

1. **State the problem:** We are given two quadratic functions: - $f(x) = (x - 2)^2 + 5$

1. **State the problem:** Solve the quadratic equation $4x^2 - 1 = 6x$ using the quadratic formula. 2. **Rewrite the equation in standard form:** Move all terms to one side:

1. **State the problem:** Solve the quadratic equation by factoring: $$4x^2 - 19x - 5 = 0$$ 2. **Recall the factoring method:** For a quadratic equation $$ax^2 + bx + c = 0$$, we l

1. Let's verify the solution to the inequality $14x + 2 > 26x + 46$. 2. Start by subtracting $26x$ and $46$ from both sides:

1. **Problem Statement:** Solve the inequality $$x^2 - 9x + 14 \leq 0$$ and represent the solution on a number line and graph. 2. **Formula and Rules:** This is a quadratic inequal

1. المشكلة: حل المعادلة $x^2 - 5x + 6 = 0$. 2. القاعدة: لحل المعادلات التربيعية نستخدم صيغة التحليل أو صيغة الجذر التربيعي.

1. The problem asks to find the percentage score to the nearest tenth of a percent given a score of 1 out of 5 with a penalty of 1 off. 2. First, calculate the raw percentage score

1. **State the problem:** We need to find the percent error of Evan's measurement of a line. 2. **Formula for percent error:**

1. **Problem:** Simplify and solve the equation $2(3 - h) - 6 = -5h$ to find the value of $h$. 2. **Step 1: Expand the parentheses** using the distributive property:

1. **Problem (a):** In a test, 20 pupils passed in Science or Mathematics. If 5 passed both subjects and 3 more passed Mathematics than Science, find the number of pupils who passe

1. **Stating the problem:** We are given a set of points $(x_1, y_1)$ from years 2014 to 2024 with corresponding values and asked if these points can be modeled by a quadratic func

**Problem:** Factor $x^2 + 5x + 6$ **Step 1: Look for two numbers that multiply to 6 and add to 5.**

1. **State the problem:** Solve for $L$ given the expression

1. Let's play with the number $x^2$! 🌟 2. Imagine you have a magic box that has $x$ toys inside. <div style='border: 3px solid #4CAF50; padding: 15px; border-radius: 10px; display:

1. **State the problem:** We are given a system of four linear equations involving variables $\theta_A$, $\theta_B$, $\theta_C$, and $\theta_F$ with constants and a parameter $EI$:

1. Déterminer le degré du polynôme $P(X) = \prod_{k=1}^n (1 - X^2)^{k-1}$. Le degré de chaque facteur $(1 - X^2)^{k-1}$ est $2(k-1)$.

1. **State the problem:** Simplify the expression $$\frac{2+\sqrt{5}}{5-\sqrt{7}} \cdot \frac{5-\sqrt{7}}{5-\sqrt{7}}$$ and verify if it equals $$\frac{\sqrt{5}+7}{8}$$. 2. **Under

1. Énonçons le problème : Résoudre l'équation $98=11x+7y+z$ pour des entiers $x$, $y$, et $z$. 2. Cette équation est une équation linéaire à trois variables. Il n'y a pas une solut

1. **Problem Statement:** Mr. Haley made a pattern with toothpicks: 9 in the 1st figure, 14 in the 2nd, 19 in the 3rd, and 24 in the 4th. We need to find:

1. **State the problem:** Solve the quadratic equation $$9x^2 + 7x - 56 = 0$$ using the x-method (factoring by grouping). 2. **Recall the formula and method:** For a quadratic equa