🧮 algebra

1. The problem is to find two phrases for the expression, which likely means rewriting or interpreting the expression in two different ways. 2. Since the user did not provide a spe

1. **State the problem:** Expand and simplify the expressions: a) $ (x - 1)(x + 4) $

1. The problem is to simplify the expression $20 - n$. 2. This is a simple algebraic expression where $20$ is a constant and $n$ is a variable.

1. **State the problem:** Factor the greatest common factor (GCF) out of the expression $$-60a^3 + 54$$. 2. **Identify the GCF:** The coefficients are 60 and 54. The GCF of 60 and

1. **State the problem:** We have a pyramid with three bricks. The top brick's value is the sum of the two bottom bricks' values. 2. **Given:**

1. **Problem Statement:** Analyze the linear function passing through points $(-1,1)$, $(0,0)$, and $(2,5)$. 2. **Formula and Rules:** The equation of a line through two points $(x

1. **State the problem:** Simplify the expression $4(5n - 2) - 3(4n + 5)$. 2. **Apply the distributive property:** Multiply each term inside the parentheses by the factor outside.

1. **State the problem:** Solve the equation $$\log_{10} \frac{x^2 - 24}{x} = 1$$. 2. **Recall the definition of logarithm:** If $$\log_b A = C$$, then $$A = b^C$$.

1. **State the problem:** We are given the linear function $y = 3x - 2$ and asked to understand its properties and graph. 2. **Formula and rules:** The equation $y = mx + b$ repres

1. **Problem Statement:** Analyze the properties of graph a), which is a straight line with positive slope crossing the y-axis at about $y = -2$ and the x-axis at about $x = 2$. 2.

1. The problem is to simplify the expression $5\sqrt{2} + 5\sqrt{2}$.\n\n2. We use the property of like terms in algebra: terms with the same radical part can be added by adding th

1. **Problema:** Calcolare per la funzione $y=\frac{x^2+6x+5}{3x-1}$ il dominio, il segno, le intersezioni con gli assi e gli asintoti. 2. **Dominio:** Il denominatore non può esse

1. We are asked to solve the equation $$\frac{x - 2}{x + 3} = 0$$ for $x$. 2. Recall that a fraction equals zero if and only if its numerator is zero and the denominator is not zer

1. **Stel het probleem vast:** We hebben het stelsel van vergelijkingen: $$x^2 - y^2 = 0$$

1. **State the problem:** Layla's gas tank capacity is 10 gallons. After driving for 4 hours, 5 gallons remain. We need to write an equation for $G$ (gallons remaining) in terms of

1. Nyatakan masalah: Selesaikan ungkapan pecahan berikut: $$\frac{2xyz}{5a} \div \frac{8xy^2}{20ab}$$

1. Il problema non è stato specificato chiaramente, quindi assumiamo che tu voglia una guida generale su come risolvere un'equazione algebrica. 2. Per risolvere un'equazione algebr

1. **State the problem:** We need to find the value of $a$ in the equation $$\frac{\sqrt{3}}{5} + \frac{2}{\sqrt{3}} = a\sqrt{3}$$ where $a$ is a fraction. 2. **Rewrite the equatio

1. **State the problem:** We have the distance function $$D = -60t + 240$$ where $$D$$ is the distance from City A in miles and $$t$$ is the time in hours after Stella leaves her h

1. **State the problem:** Solve the equation $$\frac{x^2}{25}+\frac{(mx+5m)x^2}{9}=1$$ for $x$ in terms of $m$. 2. **Rewrite the equation:**

1. **State the problem:** We need to find the equation of line K which is parallel to the line $y=\frac{2}{5}x - 10$ and passes through the point $(15, 20)$. 2. **Recall the formul