🧮 algebra

1. The question "how is it 1 tho?" suggests you want to understand why a certain value equals 1. 2. Without a specific problem, let's consider a common example: why is $\frac{a}{a}

1. **State the problem:** We need to find the slope of a line given its x-intercept is 2 and y-intercept is -2, and write the equation in slope-intercept form $y = mx + b$. 2. **Re

1. Problem: Solve the equation $4=0$. 2. Explanation: The equation $4=0$ states that the number 4 is equal to 0.

1. **Stating the problem:** Find a question similar to question 3c, which is to expand and simplify an expression involving square roots: $ (\sqrt{a} + \sqrt{b})(\sqrt{a} - \sqrt{b

1. **Problem:** Izračunaj in okrajšaj kolikor je to mogoče izraz: $$\frac{5}{8} - \frac{5}{12} + \frac{3}{4} - \frac{2}{3} + \frac{1}{6} + \frac{1}{24}$$

1. **State the problem:** Factor out the greatest common factor (GCF) from the polynomial $12g^5 - 12g^4$. 2. **Identify the GCF:**

1. **State the problem:** Factor the expression $$6p^2 + 6p - 12$$ completely. 2. **Identify the greatest common factor (GCF):** The coefficients are 6, 6, and -12. The GCF of thes

1. **State the problem:** Make $x$ the subject of the formula given by $$4x - 6y = 2xz + 5u$$

1. **State the problem:** Simplify the expression $4 - 9(4 - 9)$. 2. **Apply the order of operations:** First, solve inside the parentheses.

1. **State the problem:** We have two sets of inequalities and equations to analyze.

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

1. **State the problem:** Simplify the expression $-2|-12+5-8|$. 2. **Evaluate inside the absolute value:** Calculate $-12+5-8$.

1. **State the problem:** Simplify the expression $$\frac{12a^3b}{9b^2} \times \frac{3}{4a}$$. 2. **Write the expression as a single fraction:**

1. **State the problem:** We need to find the average speed of the train over the entire journey from Manchester to Bournemouth, passing through London. 2. **Recall the formula for

1. The problem asks to identify the domain of the function $f$ based on the given graph description. 2. The domain of a function is the set of all possible input values ($x$-values

1. The problem is to solve the equation shown in the screenshot (assuming it is a quadratic equation or similar algebraic expression). 2. The general approach to solve quadratic eq

1. **State the problem:** Solve for $x$ in the equation $$\sqrt{x} - \sqrt{6x} - 9 + \sqrt{x} + \sqrt{6x} - 9 = 6.$$\n\n2. **Simplify the equation:** Combine like terms on the left

1. **Stating the problem:** A teacher noticed that $\frac{7}{12}$ of the students were wearing either blue shorts or white shorts. We need to write two different ways this could be

1. The problem asks to find the inverse of the relation given by the set of ordered pairs $\{(-9, 10), (1, -3), (8, -5)\}$. 2. The inverse of a relation is found by swapping the $x

1. **State the problem:** We want to verify the determinant of the matrix

1. The problem is to verify if the given solutions for each variable in the equations are correct. 2. To check correctness, substitute each found value back into its original equat