🧮 algebra

1. The problem states that the first term of an arithmetic sequence is 3 and the second term is 15. 2. Recall that in an arithmetic sequence, the difference between consecutive ter

1. **State the problem:** We are given a line and need to find its slope and the slope of a line perpendicular to it. 2. **Identify the given line:** The green line passes through

1. **State the problem:** We are given the geometric sequence 18, 54, 162, 486, ... and need to find the first term and the term-to-term rule. 2. **Identify the first term:** The f

1. The problem is to find the product of $-12$ and $-8$. 2. When multiplying two negative numbers, the result is positive.

1. The problem asks to find the slope of the given line and the slope of a line perpendicular to it. 2. The given line descends from approximately (-10, 2) to (10, -8).

1. **Statement of the problem:** Simplify the expression $$B = \frac{(-4)^3 \times (-6)^4 \times 2^5 \times (-27)^{-2}}{(-9)^3 \times 6^8} \times (-18)^{-4}$$

1. **State the problem:** We need to find the least integer value of $x$ that satisfies the inequality $$\frac{5x - 3}{2} > 5.$$\n\n2. **Isolate the variable:** Multiply both sides

1. The problem asks for a number that is both a square number and an even number. 2. A square number is a number that can be expressed as $n^2$ where $n$ is an integer.

1. **State the problem:** We need to make $a$ the subject of the formula given by $$b^3 = \frac{4(8d - 3a)}{9}$$

1. The problem is to find the cube root of 64. 2. The cube root of a number $x$ is a number $y$ such that $y^3 = x$.

1. **التمرين الأول: تصنيف الأعداد** - A = $\frac{\sqrt{48} - 4\pi}{2\pi - \sqrt{12^7}}$

1. **State the problem:** Expand and simplify the expression $$(x + 5)(x - 3)(2x - 1)$$. 2. **First, expand the first two binomials:**

1. The problem is to expand and simplify the expression $ (x + 3)(x - 1)^2 $.\n\n2. First, expand the square term: $ (x - 1)^2 = (x - 1)(x - 1) $.\n\n3. Multiply out $ (x - 1)(x -

1. **Problem 1:** Given the function $$h = \frac{3s + 1}{1 - 2s}$$ Find the vertical and horizontal asymptotes.

1. **State the problem:** We are given two lines on a Cartesian plane and need to find the slope of the original line and the slope of a line perpendicular to it. 2. **Find the slo

1. The problem is to solve or understand a concept related to 8th grade math. Since no specific question was provided, let's consider a common 8th grade math topic: solving a linea

1. Problem: Solve $2x + 3 = 7$. Step 1: Subtract 3 from both sides: $2x = 4$.

1. To solve equations easily on Desmos, start by entering the equation into the expression line. 2. Use the graph to visually identify where the function crosses the x-axis; these

1. The problem asks to find the slope of the given line and the slope of a line perpendicular to it. 2. The given line is vertical, passing through $x=6$. A vertical line has an un

1. **State the problem:** We are given a line passing through points approximately $(-5,-3)$ and $(3,7)$, and we need to find its slope and the slope of a parallel line passing thr

1. **State the problem:** We are given two lines and need to find the slope of the original line and the slope of a line parallel to it. 2. **Identify points on the original line:*