🧮 algebra

1. **State the problem:** Solve the equation $x - 1 = 5$ for $x$. 2. **Formula and rules:** To isolate $x$, add 1 to both sides of the equation. This uses the addition property of

1. **State the problem:** We are given the function $$p(t) = 100 \left(\frac{1}{2}\right)^{\frac{t}{8.02}}$$ which models the percentage of iodine-131 atoms remaining after $$t$$ d

1. The problem asks to write an absolute value equation to determine the maximum and minimum circumference $x$ of a regulation discus, given the nominal circumference 691.15 mm and

1. **State the problem:** Simplify the expression $$16) \frac{\sqrt{972}}{\sqrt{4}}$$. 2. **Recall the property of square roots:** $$\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}$

1. **State the problem:** We are given two equations: $$y = x^2 + 6x - 18$$

1. Stating the problem: Simplify the expression $9 - 21 \div (-7) + 7$. 2. Recall the order of operations: division and multiplication are performed before addition and subtraction

1. **State the problem:** We are given the equation $y + 3 = \sqrt{x}$ and want to understand its graph and behavior. 2. **Rewrite the equation:** To isolate $y$, subtract 3 from b

1. **State the problem:** Verify the equation $9 + (-2)(-6) = 21$ and understand the arithmetic involved. 2. **Recall the multiplication rule for negatives:** The product of two ne

1. **State the problem:** We need to identify which equation matches the given graph, which is a blue curve in the top-left quadrant starting near (-2, 0) and curving upward to the

1. **State the problem:** Identify the graph of the equation $$y - 3 = \sqrt[3]{x - 4}$$. 2. **Rewrite the equation:** The equation can be written as $$y = 3 + \sqrt[3]{x - 4}$$.

1. **State the problem:** Identify the graph of the equation $$y - 3 = \sqrt{x - 2}$$. 2. **Rewrite the equation:** Add 3 to both sides to isolate $$y$$:

1. **State the problem:** Solve the simultaneous equations:

1. **State the problem:** We are given the linear equation $$y = \frac{3}{4}x - 7$$ and want to understand its properties. 2. **Formula and rules:** This is a linear function in sl

1. **Problem statement:** Factorise the expressions: ⑦ $8a^4 - 64a$

1. The problem involves two linear equations: $$y = -10x - 1$$ and $$y = -10x - \frac{8}{3}$$. 2. Both lines have the same slope, $$m = -10$$, but different y-intercepts, $$b_1 = -

1. **State the problem:** We need to find the value of $v$ when $v = 2c^2 + 6$ and $c = 4$. 2. **Write the formula:** The formula given is

1. Het probleem is om een wiskundige vraag op te lossen zonder gebruik te maken van vectoren. 2. We zullen een voorbeeld nemen van een probleem dat normaal vectoren gebruikt, bijvo

1. El problema es interpretar la expresión $\frac{x + y}{z}$. 2. Esta expresión representa la suma de dos números, $x$ y $y$, dividida entre otro número, $z$.

1. **State the problem:** Solve the inequality $$4 > -3x + 1$$. 2. **Rewrite the inequality:** We want to isolate $x$ on one side.

1. Stating the problem: Simplify the expressions a) $\sqrt{72}$, b) $5\sqrt{8}$, c) $\sqrt{48}$, and d) $2\sqrt{125}$. 2. Important rule: To simplify square roots, factor the numbe

1. **State the problem:** Solve the linear equation $$-(8w - 3) + 2 = 4 + w - 4$$ for $w$. 2. **Apply the distributive property:** The negative sign before the parentheses means we