🧮 algebra

1. **Stel het probleem vast:** We moeten controleren of de gegeven antwoorden over de rechten correct zijn en of de omzetting naar de basisvorm klopt. 2. **Controle van evenwijdigh

1. **State the problem:** Find the equation of the line passing through the points $(x-5)$ and $(x-1)$. 2. **Clarify the points:** The points are not fully specified as coordinates

1. The problem is to represent a number or an expression on a number line. 2. A number line is a straight line where each point corresponds to a real number.

1. The problem asks us to find the real values of $x$ that satisfy the inequality $$- |x| - 1 \geq 1.$$\n\n2. First, isolate the absolute value term. Add 1 to both sides:\n$$- |x|

1. **State the problem:** Solve the equation $$\frac{x}{4} - \frac{x + 6}{5} = 1$$ for $x$. 2. **Formula and rules:** To solve equations with fractions, find a common denominator t

1. **State the problem:** Solve for $b$ in the equation $$\frac{a}{x} - \frac{1}{c} = \frac{b}{d}.$$\n\n2. **Formula and rules:** To isolate $b$, multiply both sides of the equatio

1. **State the problem:** Solve the equation $$\frac{a}{x} - \frac{1}{c} = \frac{b}{d}$$ for $x$. 2. **Formula and rules:** To solve for $x$, isolate the term containing $x$ and th

1. **State the problem:** Factor the expression $2mx - 3m + 2pcx - 3pc$ by grouping. 2. **Group terms:** Group the terms to factor common factors:

1. **State the problem:** Solve the equation $$\frac{1}{2}x + 1 = \frac{1}{3}x - 2$$ for $x$. 2. **Formula and rules:** To solve linear equations, we isolate $x$ by moving all term

1. **State the problem:** Divide the polynomial $$-8x^3 - 6x^2 + 15x + 11$$ by the binomial $$2x + 3$$ using long division. 2. **Recall the formula and rules:** Polynomial long div

1. **State the problem:** Calculate $\frac{4}{9}$ times 28. 2. **Formula used:** Multiplying a fraction by a whole number is done by multiplying the numerator by the whole number a

1. The problem is to find the equation of the line passing through the points given in the photo (not provided here). Since the photo is not visible, I will explain the general met

1. The problem involves simplifying the equation $$\frac{96a}{96} + \frac{1392d}{96} = \frac{0}{96}$$ by dividing every term by 96. 2. The formula used here is the property of equa

1. Let's start by understanding the problem: you have an expression after expansion: $$144a - 48a + 2520d - 1128d = 0$$ and you want to verify if this leads to $S_{30} = 870$. 2. F

1. **State the problem:** We have an arithmetic series where the sum of the first 48 terms is 4 times the sum of the first 36 terms. We need to find the sum of the first 30 terms.

1. **State the problem:** Divide the fractions $\frac{1}{8}$ by $\frac{4}{5}$. 2. **Formula:** To divide fractions, multiply the first fraction by the reciprocal of the second frac

1. The problem is to find the sum of the first 194 natural numbers. 2. The formula for the sum of the first $n$ natural numbers is:

1. **State the problem:** We want to find how to get the numbers 2, 42, 47, 57, and 58 from a total sum of 180 using scaling fractions. 2. **Understanding the problem:** Scaling fr

1. **State the problem:** We need to solve the equation step by step. Since no specific equation is given, let's consider a general example: solve for $x$ in the equation $$2x + 3

1. To simplify an expression or solve a problem more simply, always look for common factors or terms that can be combined. 2. Use basic arithmetic operations and properties like di

1. The problem is to explain a math concept suitable for a 14-year-old level. 2. Since no specific problem was given, I will provide a simple algebra example: solving the equation