🧮 algebra

1. Probleem: Kirjuta funktsioonide võrrandid, mis on saadud funktsiooni $y = x^5$ graafiku teisendamisel. 2. Funktsiooni teisendused põhinevad $y = x^5$ ja erinevad nihked, peegeld

1. **State the problem:** Simplify the expression $4(5n+4)$. 2. **Use the distributive property:** The distributive property states that $a(b+c) = ab + ac$. Here, $a=4$, $b=5n$, an

1. Probleem: Skitseerida funktsiooni $y = |x^2 - 2x - 3|$ graafik, kasutades peegeldamist. 2. Alustame sisemise funktsiooni $f(x) = x^2 - 2x - 3$ graafiku uurimisest.

1. **State the problem:** Expand the expression $4(n + 3)$. 2. **Formula used:** Use the distributive property of multiplication over addition:

1. The problem is to simplify the expression $\sqrt{\sqrt{\sqrt{6,561}}}$. 2. Recall that the square root of a number $x$ is $x^{\frac{1}{2}}$. Applying this repeatedly, the expres

1. **Stel het probleem vast:** We willen de definitie van de oplossing van een eerstegraadsvergelijking in woorden geven. 2. **Definitie:** De oplossing van een eerstegraadsvergeli

1. **State the problem:** Factor the expression $x^4 - 81$. 2. **Recognize the form:** This is a difference of squares since $81 = 9^2$ and $x^4 = (x^2)^2$.

1. The problem is to simplify the expression $\sqrt[3]{-1}$.\n\n2. The cube root of a number $a$ is a number $b$ such that $b^3 = a$.\n\n3. We want to find $b$ such that $b^3 = -1$

1. **State the problem:** We are given the base and height of a triangle as polynomials in $q$:

1. **Problem 1: Children and Adults in a Group** We have two variables: $x$ = number of children, $y$ = number of adults.

1. Let's understand why we write $2z$ and $2y$ in algebra. 2. When you see $2z$, it means $2 \times z$, which is the number 2 multiplied by the variable $z$.

1. **State the problem:** Add the numbers $5.5$ and $-2.5$. 2. **Recall the rule for adding positive and negative numbers:** When adding a positive number and a negative number, su

1. **Stating the problem:** We need to solve the system of inequalities:

1. **State the problem:** We need to add the numbers $5.1$ and $-6.1$. 2. **Recall the rule for adding positive and negative numbers:** When adding a positive number and a negative

1. Problem: Solve the system of equations for children ($x$) and adults ($y$): $$x + y = 2200$$

1. **State the problem:** Solve the equation $x - 740000 = x \times 25\%$ for $x$. 2. **Rewrite the percentage as a decimal:** $25\% = 0.25$.

1. The problem is to understand and work with the equation $x - y = z$. 2. This is a simple linear equation relating three variables $x$, $y$, and $z$.

1. Problema: Determinați valorile reale ale lui $x$ pentru care: $$\frac{1}{4x - 4} + \frac{1}{6x - 6} + \frac{1}{12x - 12} = \frac{1}{2x - 2}.$$

1. The problem is to solve a system of linear equations using the Gaussian elimination method. 2. Gaussian elimination involves transforming the system's augmented matrix into an u

1. **State the problem:** Solve the system of equations using the equal value method: $$3x + y = 8$$

1. **State the problem:** Solve the system of linear equations: $$3x + y = 8$$