🧮 algebra

1. **State the problem:** We are given a table of values for $x$ and $y$ and need to find the rate of change represented by the data. 2. **Recall the formula for rate of change:**

1. **State the problem:** We are given a table of values for $x$ and $y$ and need to find the rate of change represented by the data. 2. **Recall the formula for rate of change:**

1. **State the problem:** We are given a table of values for $x$ and $y$ and need to find the rate of change represented by the data. 2. **Recall the formula for rate of change:**

1. **Stating the problem:** We need to convert expressions between exponential form with rational exponents and radical form.

1. **Problem Statement:** Translate the given expressions between exponential and radical forms. 2. **Key Formula:** The relationship between radicals and rational exponents is:

1. Factorize the quadratic expression $2x^2 + 11x + 12$. - Use the formula for factoring quadratics: $ax^2 + bx + c = (mx + n)(px + q)$ where $m \times p = a$ and $n \times q = c$

1. The problem asks us to identify which graph corresponds to the function rule $y = -4 + 3x$. 2. The function is a linear equation in slope-intercept form $y = mx + b$, where $m$

1. The problem asks us to identify the graph of the function rule $$y = 4x + 5$$. 2. This is a linear function in slope-intercept form $$y = mx + b$$, where $$m$$ is the slope and

1. **Stating the problem:** Charity bought a gas cooker on hire purchase terms. She paid a deposit of 6500 and equal monthly instalments of 2880 for one and a half years. We need t

1. **State the problem:** Find the equation of the line passing through points (0, -8) and (2, 10) in the form $y = mx + c$. 2. **Formula used:** The slope $m$ of a line through po

1. **State the problem:** Nikola had 77 units of money. She spent \(\frac{3}{7}\) of her money on a meal and the rest on books. We need to find the percentage of her money spent on

1. **Stating the problem:** Eunice bought a refrigerator with a cash price of 32400.

1. Das Problem: Du möchtest wissen, woher die -8 bei 2a kommt. 2. Erklärung: Wenn du eine Gleichung oder einen Term hast, kann die Zahl vor dem Buchstaben (wie -8 bei 2a) ein Koeff

1. **State the problem:** Find the equation of line F in the form $y = mx + c$ given two points on the line. 2. **Identify points:** The line passes through points $(0, 80)$ and $(

1. Das Problem: Du möchtest wissen, woher die Zahl -8 bei dem Term $2a - 8$ kommt. 2. Erklärung: In einem algebraischen Ausdruck wie $2a - 8$ besteht der Term aus zwei Teilen: eine

1. **Problemstellung:** Gegeben ist die Funktion $f(x) = 0{,}1x^3$. 2. **a) Funktionswerte berechnen:**

1. **Problemstellung:** Gegeben ist die Funktion $$f(x) = 0,1x^3$$. Wir sollen folgende Aufgaben lösen:

1. **State the problem:** A water pump costs 12800 cash. A farmer buys it on hire purchase by paying a deposit of 5000 and four monthly instalments of 2600 each. We need to find ho

1. The problem asks to represent a given number as a rational number on the number line. 2. A rational number is any number that can be expressed as $\frac{p}{q}$ where $p$ and $q$

1. The general form of a quadratic function is given by the formula: $$f(x) = ax^2 + bx + c$$

1. **State the problem:** Solve for $r$ in the equation $1 + r = (1.83)^{\frac{1}{52}}$. 2. **Formula and rules:** The equation involves an exponent with a fractional power, which