🧮 algebra

1. **State the problem:** Chris inputs the same number $x$ into two function machines. The first machine outputs $-9 \times 3 \times x$, and the second machine outputs $-3 \times x

1. **State the problem:** We are given the function $y = 2x - 3$ and a table with values of $x$ from $-3$ to $3$. We need to fill in the columns for $2x$ and $y = 2x - 3$. 2. **For

1. Problem: Simplify the expression $(2x^4y^3)(3x^3y^2)$. 2. Formula: When multiplying terms with the same base, add the exponents: $a^m \cdot a^n = a^{m+n}$.

1. The problem is to complete the table for the function $y = -x - 3$ by calculating the values of $-x$ and $y$ for each given $x$. 2. The formula is $y = -x - 3$. For each $x$, fi

1. The problem asks if $4 \times x^5$ is the same as $4 \times x \times x^4$. 2. Recall the rule of exponents: when multiplying powers with the same base, add the exponents.

1. **State the problem:** We are given the linear function $y = -x + 4$ and a table of values for $x$ from $-3$ to $3$. We want to understand how to calculate $y$ for each $x$ and

1. Stating the problem: Simplify the expression $x^5 \times x^4$. 2. Formula used: When multiplying powers with the same base, add the exponents: $$a^m \times a^n = a^{m+n}$$

1. **State the problem:** We are given the function $y = -x + 4$ and a table with some values of $x$ and $-x$. We need to fill in the missing $y$ value for $x = -3$ and understand

1. The problem is to understand the difference between $x_2$ and $x^2$. 2. $x_2$ represents a subscript notation, often used to denote the second element in a sequence or vector, f

1. **State the problem:** We are given the linear function $y = 3x + 4$ and a table with columns $x$, $3x$, and $y = 3x + 4$. We need to fill in the missing values in the table. 2.

1. The problem states that students are divided into 5 equal groups with at least 6 students in each group. We need to find an inequality representing the number $x$ of students. 2

1. Plantegem el problema: Tenim la recta $3x + 2y - 6 = 0$ i volem trobar una recta perpendicular a aquesta que passi pel punt d'intersecció amb la recta donada. 2. Trobar el punt

1. **State the problem:** Simplify the expression $1 - \frac{1}{2} \times 4$. 2. **Recall the order of operations:** Multiplication and division are performed before addition and s

1. **State the problem:** We have a rectangle with length 8 feet and area less than 168 square feet. We want to find an inequality representing the width $x$ and solve it.

1. **State the problem:** We are given the linear function $y = 2x + 2$ and a table of values for $x$ and $y$. We want to understand how the function works and verify the points. 2

1. **State the problem:** Gerald wants to transform the quadratic parent function $f(x) = x^2$ by reflecting it across the x-axis, stretching it vertically by a factor of 2, shifti

1. **State the problem:** Analyze the quadratic function $f(x) = x^2 - 4x - 8$. 2. **Formula and rules:** A quadratic function is generally written as $f(x) = ax^2 + bx + c$.

1. **State the problem:** Solve the equation $\frac{3}{2}X - 3 = 3$ for $X$. 2. **Add 3 to both sides** to isolate the term with $X$:

1. **State the problem:** We are given the function $y = 2x + 2$ and need to fill in the table values for $x = -3, -2, -1, 0, 1, 2, 3$ by computing $2x$ and then $y$ using the form

1. **State the problem:** We are given the system of equations: $$5x - 2y = -4$$

1. **Problemstellung:** Finde drei ganzrationale Funktionen 4. Grades mit genau den Nullstellen 1, 3 und 7. 2. **Formel und Regeln:** Eine ganzrationale Funktion 4. Grades mit Null