🧮 algebra

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

1. The problem is to convert the decimal 0.549 into a fraction in its simplest form. 2. To convert a decimal to a fraction, write the decimal number as the numerator and use a deno

1. **Problem Statement:** Find the domain and range of the function $$f(x) = \frac{\sqrt{x}}{x - 4}$$ and sketch its graph. 2. **Domain:** The function involves a square root and a

1. **State the problem:** Simplify the expression $\frac{5r}{20r^2}$.\n\n2. **Recall the rules:** When simplifying fractions with variables, divide coefficients and subtract expone

1. সমস্যাটি হলো: একটি অজানা সমীকরণের সমাধান করতে হবে। 2. প্রথমে সমীকরণটি স্পষ্ট করতে হবে বা সমীকরণের ধরন জানতে হবে।

1. **State the problem:** Simplify the expression $$\frac{8v^{10}}{2v^{5}}$$. 2. **Recall the division rule for exponents:** When dividing powers with the same base, subtract the e

1. **State the problem:** We want to verify if $-\frac{2}{5} + 4 = \frac{18}{5}$ is true. 2. **Rewrite the equation:** The left side is $-\frac{2}{5} + 4$ and the right side is $\f

1. **Problem 1:** Find the equation of the line parallel to $2x - 5y + 3 = 0$ passing through $(1,4)$. 2. **Problem 2:** Find the equation of the line parallel to $x + 4y - 7 = 0$

1. The problem involves evaluating the expressions: $5^{-2}$, $5 \div 25$, $3 \times 125$, and $2 \div 625$. 2. Recall the rule for negative exponents: $a^{-n} = \frac{1}{a^n}$ whe

1. **State the problem:** We are given an arithmetic sequence where the first term $a_1=6$ and the second term $a_2=18$. We need to find the third term $a_3$ and the fourth term $a