🧮 algebra

1. The problem states that the uppercase letter $R$ is 34 and asks to transfer it to the lowercase letter $r$ which is 17. 2. This suggests a relationship or conversion between $R$

1. The problem is to analyze the sign (positive, negative, or zero) of six different graphs or functions. 2. To determine the sign of a function, we look at the values of the funct

1. **Stating the problem:** Simplify the expression $x\sqrt{x}$. 2. **Recall the rule:** The square root of $x$ is $\sqrt{x} = x^{\frac{1}{2}}$.

1. **State the problem:** We have two pipes filling a swimming pool. The larger pipe runs for 4 hours, the smaller pipe for 9 hours, and together they fill half the pool. The small

1. **Determine whether each equation is linear in the given variables.** Linear equations in variables $x_1, x_2, x_3$ or $x, y$ have the form $$a_1 x_1 + a_2 x_2 + a_3 x_3 = b$$ o

1. **State the problem:** Solve the inequality $\frac{x+3}{2} \geq 5$. 2. **Formula and rules:** To solve inequalities involving fractions, multiply both sides by the denominator (

1. **State the problem:** Solve the inequality $$\frac{x}{9} - 6 > 4$$. 2. **Isolate the variable term:** Add 6 to both sides to get rid of the -6.

1. **Problem statement:** A number is first increased by 25% and then decreased by 20%. We need to find the net percentage change. 2. **Formula and explanation:**

1. **State the problem:** We need to find the percentage increase when a company's sales increase from 250 to 300. 2. **Formula for percentage increase:**

1. **Problem statement:** A can finish the entire task alone in 12 hours. We need to determine if A can finish half the task in 6 hours. 2. **Formula and concept:** The work rate o

1. **Problem statement:** Two persons start walking from the same point in opposite directions. One walks at 4 km/hr and the other at an unknown speed $x$ km/hr. We need to find th

1. The problem states that $3A = 2B = 6C$. We need to find the ratio $A : B : C$. 2. Let the common value be $k$, so:

1. **State the problem:** Solve the inequality $\frac{x}{2} + 1 \leq 5$. 2. **Formula and rules:** To solve inequalities, we isolate the variable on one side. Remember, when multip

1. **مقارنة العددين $2\sqrt{7}$ و $7\sqrt{2}$** نبدأ بحساب قيمة كل عدد تقريبا:

1. **Problem Statement:** We need to find the total number of 4-digit numbers between 1000 and 3000 that are divisible by 4, formed using the digits 1, 2, 3, 4, 5, and 6 without re

1. The problem states: For the quadratic equation $$3.089\cdot 2x^1 - (1 - 3b)x + 5b = 0$$ one root is $b$. We need to find the value of $b$. 2. The general form of a quadratic equ

1. **State the problem:** Solve the inequality $\frac{x}{3} > 4$. 2. **Formula and rules:** To solve inequalities involving division or multiplication by a positive number, you can

1. **State the problem:** We are given the system of inequalities: $$3x + y \geq 3$$

1. **State the problem:** We are given the system of inequalities:

1. **Stating the problem:** We are given the number of students in each grade category and the corresponding sector angles in a pie chart. We need to identify which grade's sector

1. **State the problem:** Anna inputs the same number $x$ into two different function machines, and the outputs are equal. We need to find the value of $x$. 2. **Write the expressi