🧮 algebra

1. **State the problem:** We are given the linear function $y = 2x + 5$ and a table of values for $x$ and $y$. We need to find the missing $y$ values for $x = -2, -1, 0$ and unders

1. **State the problem:** We are given the linear equation $y = 2x + 1$ and a table of $x$ and $y$ values with some missing $y$ values labeled as $A$ and $B$. 2. **Goal:** Find the

1. **State the problem:** We are given the linear function $y = 5x$ and a table with $x$ values $-1, 0, 1, 2$. We need to find the corresponding $y$ values labeled as $A, B, C, D$.

1. **State the problem:** We are given the linear function $y = x + 3$ and a partial table of values. We need to complete the table and draw the graph on a Cartesian coordinate sys

1. **State the problem:** Simplify the expression $$\frac{\sqrt{7} + 2}{3} - \frac{2}{\sqrt{7}}.$$\n\n2. **Rewrite the expression:** To combine the terms, find a common denominator

1. **Stating the problem:** Simplify the given expressions involving roots and rational exponents. 2. **Important rules:**

1. **State the problem:** Find the greatest common factor (GCF) of each given set of numbers. 2. **Recall the definition:** The GCF of a set of numbers is the largest positive inte

1. Let's restate the problem: We want to understand why the maximum value cannot be 80 when considering the root values 180, 200, 80, 95, and 100. 2. The root values likely represe

1. **Problème :** Une entreprise investit 5 000 dans une technologie qui prend de la valeur à un taux de 12% par an. 2. **Formule utilisée :** La valeur future d'un investissement

1. **State the problem:** Solve the equation $$x^{0.95} \times 496 = 15x$$ for $x$. 2. **Rewrite the equation:** We have $$496x^{0.95} = 15x$$.

1. The problem is to determine which graph represents the equation $x - y = 2$ by checking if given points satisfy the equation. 2. The equation is $x - y = 2$. To check if a point

1. The problem involves verifying points on the line given by the equation $x - y = 2$ and understanding the journey distance graph. 2. The equation of the line is $x - y = 2$. Thi

1. **State the problem:** Simplify the expression $ (6 - 8x) \cdot (-0.2) $. 2. **Recall the distributive property:** For any numbers $a$, $b$, and $c$, $ (a + b) \cdot c = a \cdot

1. **State the problem:** Solve the equation $$x^{0.95} \times 394 = 14.5x$$ for $x$. 2. **Rewrite the equation:** We have $$394x^{0.95} = 14.5x$$.

1. **State the problem:** Solve for $x$ in the equation $$x^{0.95} \times 394 = 14.5$$. 2. **Isolate the term with $x$:** Divide both sides by 394 to get $$x^{0.95} = \frac{14.5}{3

1. **State the problem:** Simplify the expression $6 - (-6n + 5n) - 3$. 2. **Recall the rule:** When subtracting a parenthesis preceded by a minus sign, distribute the minus sign t

1. **Problem 1(b): Solve the equation** $\log_2(x + 3) = 3 - \log_2(x + 2)$. 2. **Rewrite the equation:** Move all logarithmic terms to one side:

1. **State the problem:** Simplify the expression $-(-x-4x)-(-x)$. 2. **Recall the rule:** The negative sign outside parentheses changes the sign of each term inside. For example,

1. **State the problem:** Solve the logarithmic equation $$\log_2 (x + 3) = 3 - \log_2 (x + 2)$$ for $x$. 2. **Recall the logarithm properties:**

1. The problem asks us to determine which ordered pair is a solution to the equation $$y = -2x + 5$$. 2. To check if a point $ (x, y) $ is a solution, substitute the $x$ and $y$ va

1. **Problem Statement:** We are given four rectangles with different lengths and widths. We need to write expressions for their perimeter and area, then simplify these expressions