🧮 algebra

1. Diberikan pertidaksamaan: $$3(2x-2) \leq 2x + 9$$ 2. Gunakan sifat distribusi untuk menghilangkan tanda kurung:

1. Diberikan persamaan \(7^{x^2 - x - 1} = 3^{x+1}\). Kita diminta mencari nilai \(x_1 + x_2\) dimana \(x_1\) dan \(x_2\) adalah akar-akar persamaan tersebut. 2. Langkah pertama ad

1. **State the problem:** Simplify the expression $$\frac{x^5-25x^3}{x^5-3x^4-10x^3} - \frac{\frac{x^3-5x^2-6x}{x^2-4x-12}}{\frac{x^2-2x-8}{x^2-x-12}}$$

1. The problem asks for the domain of the function $$f(x) = \frac{7 - 3x}{4x - 9}$$. 2. The domain of a rational function is all real numbers except where the denominator is zero b

1. **Problem:** Evaluate the function $f(x)=2x+1$ at several inputs. 2. **Formula used:** For any input $x$, substitute it into $f(x)=2x+1$ and simplify.

1. **State the problem:** Solve the equation $$-5.1 = 3x + 2.4$$ for $$x$$. 2. **Isolate the variable term:** Subtract 2.4 from both sides to get the term with $$x$$ alone.

1. **State the problem:** Solve the equation $$x + \frac{1}{3} = \frac{4}{3}$$. 2. **Formula and rules:** To solve for $x$, we need to isolate $x$ on one side of the equation. This

1. **State the problem:** We want to find all integers $n$ such that $$(n + 3)(n - 7) \leq 0.$$ 2. **Understand the inequality:** The product of two factors is less than or equal t

1. **State the problem:** We are given two equations: $$9s + 5t = 108$$ and $$s = t - 2$$. We need to find the value of $$t$$. 2. **Use substitution:** Since $$s = t - 2$$, substit

1. The problem asks if the equation $6x - 11 = -72$ correctly represents "Six times the difference of 11 and a number is -72."\n\n2. Recall the phrase "difference of 11 and a numbe

1. The problem states: "Six times the difference of 11 and a number is -72." We need to write this as an equation using $x$ to represent the number. 2. The phrase "the difference o

1. **State the problem:** We need to find the number $x$ such that eight times the number plus 4 equals -4. 2. **Write the equation:**

1. **State the problem:** We need to find the markup $M$ given the retail price $P$ and the wholesale cost $C$. 2. **Formula:** The retail price is given by $$P = C + M$$ where $P$

1. The problem asks to fill in the blank: "A(n) ________ of an equation is a value for the variable that makes the equation a true statement." 2. Let's analyze the options:

1. **State the problem:** Determine the correct value of the expression $6 + 2x$ when $x=4$. 2. **Formula:** The expression is $6 + 2x$.

1. **State the problem:** Evaluate the expression $6 + 2x$ for $x = 4$. 2. **Formula:** The expression is $6 + 2x$.

1. The problem asks to find the number $x$ such that six times the difference of 11 and $x$ equals -72. 2. Write the equation: $6(11 - x) = -72$.

1. The problem asks to find the number $x$ such that six times the difference of 11 and $x$ equals -72. 2. Write the equation: $6(11 - x) = -72$.

1. **Stel het probleem vast:** We moeten het stelsel oplossen: $$\begin{cases} 5x + 2y = 4 - z \\ -3x - 6 = 4y - 5z \\ 8z = x + y + 1 \end{cases}$$

1. The problem states: "Six times the difference of 11 and a number is -72." We need to write this as an equation using $x$ to represent the number. 2. The phrase "difference of 11

1. **State the problem:** Solve the equation $$\frac{1}{4} t = -9$$ for $$t$$. 2. **Formula and rule:** To isolate $$t$$, multiply both sides of the equation by the reciprocal of $