🧮 algebra

1. The problem states: "three times a number plus eleven." We want to express this as an algebraic expression. 2. Let the number be represented by the variable $x$.

1. The problem is to express "decreased by 8 times Y plus three" as a mathematical expression. 2. "Decreased by" means subtraction.

1. The problem is to simplify the expression: $\frac{X - 20}{2} \times B$. 2. The formula used here is the order of operations (PEMDAS/BODMAS), which tells us to perform division a

1. **State the problem:** We need to express "seven less than the product of twelve and a number" as an algebraic expression. 2. **Identify the unknown:** Let the number be represe

1. **Problem:** Create a quiz question based on the topics: Ratio and Proportion, Algebra, Inequalities, Sequences, Functions. 2. **Step 1: Ratio and Proportion**

1. **State the problem:** We need to express "two times a number plus nine" as an algebraic expression. 2. **Define the variable:** Let the number be represented by $x$.

1. **State the problem:** Simplify and analyze the expression $$a^2 - 4ab + 4b^2 - x^2 + 6x + 9$$. 2. **Recognize patterns:** The first three terms $$a^2 - 4ab + 4b^2$$ form a perf

1. **Problem:** Find values of $x$ for which $\frac{x - 16}{x^2 - 3x}$ is undefined. 2. **Formula:** A rational expression is undefined where the denominator equals zero.

1. **State the problem:** Factorize the expression $$a^2 - 4ab + 4b^2 - x^2 + 6x + 9$$. 2. **Recognize patterns:** The first three terms $$a^2 - 4ab + 4b^2$$ form a perfect square

1. Pernyataan masalah: Hitung ketinggian anak tangga ke-n pada tangga dengan tinggi anak tangga 18 cm menggunakan rumus barisan aritmetika. 2. Rumus barisan aritmetika untuk suku k

1. Let's start by understanding what a function is: a function is a rule that assigns each input exactly one output. 2. The **domain** of a function is the set of all possible inpu

1. **Тэгшитгэлийг тодорхойлох:** Тэгшитгэл нь $$(x - 2)(x^2 + 3x - 1) = x^3 + \diamond + \square + 2$$ байна.

1. Тэгшитгэлийг уншиж ойлгоё: $$(x + \diamond)(\square x - 1) = 2x^2 + 5x + \triangle$$ 2. Зүүн талын үржвэрийг задлая:

1. **State the problem:** Simplify the expression $2cd - 2ce + d^2 - e^2$. 2. **Recall the formula:** The expression contains a difference of squares $d^2 - e^2$, which can be fact

1. **State the problem:** Solve the cubic equation $$b^3 + 6b^2 + 12626b - 75720 = 0$$ for $b$. 2. **Recall the approach:** For cubic equations, we can try to find rational roots u

1. Stating the problem: Solve the equation $x + 2x = 45$ for $x$. 2. Combine like terms on the left side: $x + 2x = 3x$.

1. **Problem Statement:** Calculate an estimate of the mean time taken by 100 students to solve a puzzle given the grouped frequency distribution:

1. **Problem statement:** Calculate an estimate of the mean time taken by 100 students to solve a puzzle given the grouped frequency distribution:

1. The problem is to plot the graph of the function $$y = 4x^4 + 6$$ and analyze the given points $(-1,10)$, $(1,6)$, $(1,10)$, $(2,70)$, and $(3,330)$. 2. The function is a polyno

1. The problem states that money is shared between Ali, Kat, and Lena in the ratio 5 : 3 : 4, and Lena's share is 76. 2. Let the common ratio factor be $k$. Then Ali's share is $5k

1. The problem asks to write the numbers $7.²$ and $21.2⁴$ in the form $\frac{a}{b}$ where $b \neq 0$. 2. First, interpret the notation: $7.²$ means $7.2$ (7 point 2) and $21.2⁴$ m