🧮 algebra

1. **Stating the problem:** Simplify the expression $3x^2 - 10x^2$. 2. **Formula and rules:** When subtracting like terms, subtract their coefficients and keep the variable part un

1. **Stating the problem:** We are given the equation of a line: $2x + 3y + 4 = 10$.

1. The problem is to solve the equation ignoring any previous workings. 2. Since no specific equation is given, I cannot solve a particular problem.

1. **State the problem:** Simplify the expression $(5\sqrt{r})^2$ and compare it with the given expressions involving rational exponents of $r$. 2. **Recall the formula and rules:*

1. The problem asks to find an expression equivalent to $2q^{3/4}$. 2. Recall that rational exponents and radicals are related by the rule:

1. **State the problem:** Solve the system of linear equations: $$0.4x + 0.5y = 0.2$$

1. The problem is to solve the equation $\text{User:} = $ which appears incomplete or unclear. 2. Since the equation or expression is not fully provided, we cannot apply any algebr

1. The problem asks to solve question 13, but since the exact question is not provided, I will assume it is a typical algebra problem involving solving an equation. 2. Let's consid

1. **State the problem:** Solve the equation $$\frac{6d}{2d - 1} = 2d$$. 2. **Use the formula and rules:** To solve for $d$, multiply both sides by the denominator $2d - 1$ to elim

1. **Problem statement:** Corey travels to the fitness centre on Saturday and Sunday with different average speeds and arrival times. We want to express the Sunday travel time in t

1. **State the problem:** Simplify the expression $6x + 7x$. 2. **Formula and rules:** When adding like terms, add their coefficients and keep the variable part the same.

1. The problem is to solve the equation $2x + 3 = 7$ for $x$. 2. Use the formula for solving linear equations: isolate $x$ by performing inverse operations.

1. **State the problem:** Expand the expression $2x(3x^2 + 2x + 8)$. 2. **Recall the distributive property:** To expand, multiply $2x$ by each term inside the parentheses.

1. The problem involves simplifying the expression \( \frac{14x + 4}{5x} \).\n\n2. The formula for simplifying a fraction is to factor the numerator and denominator and then cancel

1. **Problem statement:** Simplify the expressions $$\sqrt{-3} \cdot \sqrt{-14}$$ and $$\frac{\sqrt{-42}}{\sqrt{7}}$$ with no negative numbers under radicals and no radicals in the

1. **State the problem:** Simplify the expressions $$\frac{\sqrt{-100}}{\sqrt{-2}}$$ and $$\sqrt{-15} \cdot \sqrt{5}$$ with no negative numbers under radicals and no radicals in th

1. **Problem Statement:** Find the smallest positive integer $n$ such that $n!$ (the factorial of $n$) ends with exactly six zeroes. 2. **Understanding trailing zeroes in factorial

1. **State the problem:** Simplify the expression $$\frac{7x + 3}{x - 4} + \frac{5x}{x^2 - 16}$$. 2. **Identify the denominators:** The denominators are $x - 4$ and $x^2 - 16$. Not

1. The problem asks us to evaluate $6^2$. 2. The expression $6^2$ means $6$ multiplied by itself $2$ times.

1. **State the problem:** Mr. Digma planted 5 rose plants in a row. Between these roses, he planted tulips, then between all existing plants he planted daffodils, then daisies, mar

1. The problem asks to evaluate the square root of 9, written as $\sqrt{9}$.\n\n2. The square root of a number $x$ is a value that, when multiplied by itself, gives $x$. In other w