🧮 algebra

1. State the problem: Solve the equation $$22 - 8x = 2x + 9$$. 2. Move all terms involving $x$ to one side and constants to the other side:

1. **State the problem:** Solve the equation $$4m + 5 = 35 - 2m$$ for the variable $$m$$. 2. **Combine like terms:** Add $$2m$$ to both sides to gather the $$m$$ terms on the left:

1. **State the problem:** Solve the equation $5x - 6 = 3x$ for $x$. 2. **Isolate the variable terms:** Subtract $3x$ from both sides to get all $x$ terms on one side:

1. The problem seems to ask why the value is 800 when the maximum number is 56. 2. Let's clarify: if the maximum number in a set is 56, then 800 is not the maximum of that same set

1. **State the problem:** Solve the equation $$17 - 2x = 4x + 5$$. 2. **Move all terms involving $x$ to one side:** Add $2x$ to both sides to get $$17 = 4x + 5 + 2x$$.

1. **State the problem:** We want to evaluate the expression $\left(\frac{6}{2}\right)^2 + 7 \times 2$. 2. **Simplify the division inside the parentheses:** Calculate $\frac{6}{2}

1. We start by clarifying the problem which is to simplify the expression:\n$$\sqrt{2} + \sqrt{3} + \sqrt{2} + (\sqrt{2} + \sqrt{3}) + \sqrt{2} + (\sqrt{2} + (\sqrt{2} + \sqrt{3}))

1. Stating the problem: Solve the equation $$2 \times 9^x - 17 \times 3^x = 9$$ for $x$. 2. Rewrite bases: Note that $9 = 3^2$, so $$9^x = (3^2)^x = 3^{2x}.$$ Substitute into the e

1. **State the problem:** Solve the equation $18 - 2w = 4w$ for $w$. 2. **Isolate variable terms:** Add $2w$ to both sides to move variable terms to one side:

1. The problem states that a number $g$ is rounded to the nearest integer 80. 2. a) To write down the error interval for $g$, note that when rounding to the nearest integer, $g$ li

1. The prompt asks to simplify the solution but does not specify any expression or equation. 2. To proceed, please provide the mathematical expression, equation, or problem that yo

1. The problem asks for the fraction of tennis club members who are aged 30 to 39 years old. 2. From the graph description, the Tennis club has:

1. The problem is to explain how to find the range of a function. 2. The range of a function is the set of all possible output values (values of $y$) that the function can produce.

1. The problem states: If \(\text{monopoly}\) is a parallelogram and given expressions are \(x = 3x - 1\) and \(2x - 1\) (assumed as the other expression related to sides or angles

1. Given functions are $f(x) = \sqrt{x - 3} - 2$ and $g(x) = \frac{x - 7}{\sqrt{x - 3} + 2}$. The domain for $f$ is $x \geq 3$ because of the square root. 2. You provided a table f

1. The problem asks us to graph the piecewise function: $$f(x) = \begin{cases} 3 - 2x & \text{if } x < 2 \\ 2x - 5 & \text{if } x \geq 2 \end{cases}$$

1. **Stating the problem:** We have three consecutive positive integers, and $n$ is the middle integer. We multiply these three integers, then add $n$ to the product, and we want t

1. Stating the problem: Let the three consecutive positive integers be $n-1$, $n$, and $n+1$, where $n$ is the middle integer. 2. Writing the product of these three consecutive int

Problem: Compute $0.02^3\times10^{-1}$.\n\n1. Rewrite the number in scientific notation: $0.02=2\times10^{-2}$.\n\n2. Cube the scientific form: $(2\times10^{-2})^3 = 2^3 \times (10

1. The problem asks to identify which of the given functions is NOT a polynomial. Since the specific functions are not provided, the key is to recall that a polynomial function has

1. **State the problem:** Simplify or factor the expression $10a^2 - 15ab + 2a - 3b$. 2. **Group terms:** Group the expression in pairs to make factoring easier: