🧮 algebra

1. **Problem:** Evaluate $\frac{6}{11} \div \left(-\frac{3}{5}\right)$. 2. **Formula and rule:** Dividing by a fraction is the same as multiplying by its reciprocal. So,

1. **State the problem:** We are given the function $f(x) = (x^2 - 4)^{12}$ and want to understand its behavior and graph. 2. **Recall the formula and important rules:** The functi

1. **State the problem:** Arrange the numbers $-0.6$, $\frac{3}{10}$, $-\frac{1}{4}$, and $0.75$ in ascending order. 2. **Convert all numbers to decimals for easy comparison:**

1. Masalah: Diberikan dua bilangan prima yang jumlahnya adalah 12.345. Kita diminta mencari hasil kali kedua bilangan tersebut. 2. Misalkan kedua bilangan prima tersebut adalah $p$

1. **Problem Statement:** Solve the system of linear equations by graphing: $$\begin{cases} x + y = 6 \\ x - y = 2 \end{cases}$$

1. The problem is to identify which of the given options are expressions. 2. An expression is a combination of numbers, variables, and operations (like addition, subtraction, multi

1. The problem asks to identify which of the given expressions are equations. 2. An equation is a mathematical statement that asserts the equality of two expressions, typically con

1. **State the problem:** Simplify the expression $-8 - 9[-2(4^2 + 8\cdot 2)] + 2[(3 + 4) - 6^2]$. 2. **Recall order of operations:** Use PEMDAS (Parentheses, Exponents, Multiplica

1. সমস্যা: একটি সরলরৈখিক সমীকরণ সমাধান করুন: $$3x + 5 = 20$$ 2. সূত্র: সরলরৈখিক সমীকরণের সমাধানে আমরা সাধারণত সমীকরণের উভয় পাশে সমান মান যোগ বা বিয়োগ করি এবং গুণ বা ভাগ করি যাতে

1. **State the problem:** Solve the system of equations for the cost of a bow and an arrow given:

1. **Problem statement:** We have 35 packages: some single ($x$) and the rest double ($35 - x$). Double packages cost 180 more than single packages. All double packages are sold, 4

1. **State the problem:** Solve the equation $2x = 10$ for $x$. 2. **Formula and rules:** To solve for $x$, we need to isolate $x$ on one side of the equation. Since $x$ is multipl

1. **State the problem:** Solve the system of equations: $$x + y = 11$$

1. **Problem 1:** Solve the simultaneous equations: $$20a + 3b = 61$$

1. **State the problem:** Solve the simultaneous equations: $$7x + 11y = -5$$

1. **State the problem:** Solve the system of equations: $$\begin{cases} x^2 + xy = 2 \\ x + y = 1 \end{cases}$$

1. **State the problem:** Solve the equation given by the user. Since no specific equation was provided, let's assume a general linear equation for demonstration: $2x + 3 = 7$. 2.

1. The problem is to find the cube root of 343. 2. The cube root of a number $x$ is a number $y$ such that $y^3 = x$.

1. **State the problem:** An angle is 60 degrees less than two times its supplement. We need to find the angle. 2. **Define variables:** Let the angle be $x$ degrees.

1. **State the problem:** Find the gradient of a line perpendicular to the line given by the equation $$8y + 4x = 5$$. 2. **Rewrite the equation in slope-intercept form:** We want

1. **State the problem:** We are given an angle that is 60 degrees less than two times its supplement. We need to find the greater angle. 2. **Define variables:** Let the angle be