🧮 algebra

1. Masalah: Gambarkan garis dan fungsi dari persamaan $y = 3x + 2$. 2. Fungsi yang diberikan adalah fungsi linear dengan bentuk umum $y = mx + c$, di mana $m = 3$ adalah gradien da

1. Masalah yang diberikan adalah menggambarkan garis dari fungsi linear $y = 3x + 2$. 2. Fungsi ini adalah fungsi linear dengan gradien (kemiringan) $3$ dan intercept $y$ pada $2$.

1. The problem involves evaluating and simplifying expressions with exponents (potencias). 2. Let's clarify and solve the expressions step-by-step:

1. The problem is to solve the quadratic equation $x^2 + 2x - 8 = 0$. 2. We start by trying to factor the quadratic expression. We look for two numbers that multiply to $-8$ and ad

1. **State the problem:** Solve the quadratic equation $$x^2 + 2x - 8 = 0$$ and analyze its graph. 2. **Identify coefficients:** Here, $$a = 1$$, $$b = 2$$, and $$c = -8$$.

1. **Problem Statement:** Draw a rough sketch of the graph of a line where the slope $m < 0$ and the y-intercept $c > 0$.

1. The problem asks to calculate the gradient (slope) of the straight line passing through the points $(-3, -2)$ and $(1, 6)$.\n\n2. The formula for the gradient $m$ between two po

1. The problem asks us to sketch the graph of the linear equation $$y = -\frac{3}{2}x - 2$$ and indicate the intercepts with the axes. 2. First, identify the y-intercept. This is t

1. The problem states that if two rows or two columns of a matrix are equal, then the determinant of that matrix is zero. 2. Given the matrix:

1. **Stating the problem:** We are given the system of linear equations: $$\text{I: }4x + 3y = 26$$

1. **State the problem:** Solve the system of linear equations: $$\text{I: }4x + 3y = 26$$

1. Problem: Solve the equation $x^2 = 25$. 2. To solve for $x$, take the square root of both sides:

1. **Stating the problem:** We need to solve the equation $$2x + 1 = 7$$ and find which of the given options (-14, 3, 6, 10) is the correct solution. 2. **Isolate the variable term

1. **State the problem:** Solve the equation $$2pb \frac{x + 3}{5} - \frac{x - 1}{2} = \frac{x + 1}{10} + 2$$ for $x$. 2. **Rewrite the equation:**

1. Problem: Solve the equation $x^2 = 25$. 2. To solve for $x$, take the square root of both sides:

1. Problem: Solve the equation $$\frac{3x}{2} - 1 = \frac{x}{3} + 6$$. 2. First, eliminate the fractions by finding the least common denominator (LCD) of 2 and 3, which is 6.

1. Problem: Omform likningen $$x + 2y = 5$$ slik at den er på formen $$x = \ldots$$. 2. For å isolere $$x$$, må vi flytte $$2y$$ til høyre side av likningen.

1. Problem 43: A student simplified $ (x + 5)^2 $ as $ x^2 + 25 $. Identify the error. 2. Recall the expansion formula for a binomial square: $$ (a + b)^2 = a^2 + 2ab + b^2 $$

1. **State the problem:** A student buys 3 exercise books at 2.50 each, 1 scientific calculator for 15.99, and 5 pens at 0.80 each. The shop owner offers a 10% discount on the enti

1. The binomial theorem provides a formula to expand expressions of the form $$(a+b)^n$$ where $n$$ is a non-negative integer. 2. The theorem states:

Problem statement: Each figure shows four vertex numbers and a label $S3$ which equals three times the sum of the four vertex numbers. Determine the missing vertex numbers or the m