🧮 algebra

1. **State the problem:** We have three pencil cases A, B, and C with a total of 96 crayons. 2. **Given information:**

1. **State the problem:** Solve the inequality $$2(4x + 5) - 2 < 60$$. 2. **Apply the distributive property:** Multiply 2 by each term inside the parentheses.

1. **State the problem:** Simplify the expression $$\frac{c^2+5c-10}{c^2-16} - \frac{c^2-8c-10}{16-c^2}$$. 2. **Recall important formulas and rules:**

1. **State the problem:** Solve the inequality $x + 7 \leq 27$. 2. **Formula and rules:** To solve inequalities, we isolate the variable on one side. When adding or subtracting the

1. Problemi kërkon të racionalizojmë shprehjen $$\frac{1}{\sqrt[8]{a^3}}$$ duke shumëzuar dhe pjesëtuar me një shprehje të tillë që bën që në emërues të kemi një fuqizim të plotë t

1. The problem is to find two equivalent fractions of $\frac{7}{10}$. 2. Equivalent fractions are fractions that represent the same value or proportion, even though they may have d

1. The problem is to find two equivalent fractions for $\frac{5}{8}$. 2. Equivalent fractions are fractions that represent the same value or proportion, even though they may have d

1. **Problem:** Determine which of the following sets of ordered pairs are functions. 2. **Definition:** A relation is a function if every input (x-value) corresponds to exactly on

1. **Problem:** Determine which of the given sets of ordered pairs are functions. 2. **Definition:** A function is a relation where each input (x-value) corresponds to exactly one

1. **Stating the problem:** We are given the function $$y = 7500 \times \frac{(1.01975)^x - 1}{0.01975}$$ and want to understand its behavior and graph. 2. **Formula explanation:**

1. The problem asks which sets of ordered pairs represent functions. 2. A function is a relation where each input (x-value) has exactly one output (y-value).

1. The problem asks to find two equivalent fractions for $\frac{2}{3}$. 2. Equivalent fractions are fractions that represent the same value or proportion, even though they may have

1. **State the problem:** Determine if the function $$K(x) = \frac{5^x}{\sqrt{3} \cdot 6^x}$$ is exponential, and if so, rewrite it in the form $$K(x) = ab^x$$ where $$a$$ and $$b$

1. The problem is to simplify the expression $$16 + \frac{7m - 72}{m - 2}$$ and check if you can simplify terms like $4m$ to $m$. 2. First, note that $4m$ and $m$ are not directly

1. Problem: Interpret the expression "Czekaj 16 to jest jako osobna liczba obok a nie w ułamku" which means "Wait, 16 is a separate number next to 'a', not in a fraction." 2. Expla

1. Stating the problem: Simplify the expression $$\frac{16 + 7m - 72}{m - 2}$$ and determine if you can cancel the variable $m$ from numerator and denominator. 2. Simplify the nume

1. **State the problem:** Solve the equation $$3x - 8 - \frac{1}{3}x - 2 = 0$$ for $x$. 2. **Combine like terms:** Group the $x$ terms and the constants separately.

1. The problem states that $y$ is directly proportional to $x$, which means we can write the relationship as $y = kx$ where $k$ is the constant of proportionality. 2. We are given

1. The problem is to express the number $(0.001)^3$ in indicial (exponential) form. 2. Recall that $0.001$ can be written as a power of 10 because $0.001 = \frac{1}{1000} = 10^{-3}

1. **State the problem:** Factor the quadratic expression $x^2 + 6x + 5$. 2. **Recall the factoring formula:** For a quadratic $ax^2 + bx + c$, we look for two numbers that multipl

1. **State the problem:** Solve the equation $10 - 2(x+3) = 3x + 2$ for $x$. 2. **Use the distributive property:** Expand $-2(x+3)$ to get $-2x - 6$.