🧮 algebra

1. **State the problem:** Solve the equation $$\frac{x - 2}{8} = 10$$ for $$x$$. 2. **Formula and rules:** To solve for $$x$$, multiply both sides of the equation by 8 to eliminate

1. **State the problem:** Solve the equation $3 - 5x = -42$ for $x$. 2. **Isolate the term with $x$:** Subtract 3 from both sides to get the term with $x$ alone.

1. **State the problem:** Solve the equation $10x - 2 = -62$ for $x$. 2. **Add 2 to both sides** to isolate the term with $x$:

1. **State the problem:** Solve the equation $3x - 9 = 27$ for $x$. 2. **Write the formula and rules:** To solve for $x$, isolate $x$ on one side of the equation by performing inve

1. **Énoncé du problème :** Mélissa a 20 paires de souliers de plus que Noémie.

1. **State the problem:** Solve the inequality $4x + 7 \neq 11$ for $x$. 2. **Write the inequality:**

1. **State the problem:** Solve the inequality $$-7 + 6x \neq -25$$ for $$x$$. 2. **Add 7 to both sides** to isolate the term with $$x$$:

1. **State the problem:** Determine the type of solution for the equation $2(3x-1)=-6x-2$. 2. **Apply the distributive property:**

1. **State the problem:** Solve the equation $2(3x-1)=-6x-2$ and determine what kind of solution it has. 2. **Use the distributive property:**

1. The problem is to solve for $x$ in the equation labeled Q6, but since no explicit equation is given, please provide the equation or problem statement for Q6. Since the problem s

1. **Problem:** Find the equation of the line containing the point A(6,8) with slope $m = -3$. 2. **Formula:** The equation of a line with slope $m$ passing through point $(x_1,y_1

1. **State the problem:** Solve the inequality $-5 + x \neq -3$ for $x$. 2. **Write the inequality:**

1. **State the problem:** Solve the inequality $$4 - 5 + x \neq -3$$. 2. **Simplify the left side:** Combine like terms.

1. **State the problem:** Solve the inequality $x + 3 \neq -1$. 2. **Formula and rules:** To isolate $x$, subtract 3 from both sides of the inequality.

1. The problem asks for the equation that represents the total cost $y$ of renting movies over time $x$ months. 2. The service charges a one-time sign-up fee of 10 and then 12 per

1. **State the problem:** You start with 24 cookies and eat 2 cookies each day. We want to find an equation that shows how many cookies you have left after $x$ days. 2. **Identify

1. The problem is to simplify the expression given by the user. 2. Since no specific expression was provided, simplification generally involves combining like terms, factoring, or

1. **State the problem:** We want to find the total cost of a dentist visit if the base price is 50 and there is an additional charge of 100 for each cavity filled. 2. **Formula:**

1. **State the problem:** Savannah has 400 chocolate chips. She saves $x$ chips for garnish and divides the remaining chips evenly into 3 pans of brownies. 2. **Formula used:** To

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

1. **State the problem:** Evaluate the expression $$\frac{(-8)^{-2}}{3^{-4}}$$. 2. **Recall the rule for negative exponents:** For any nonzero number $a$ and integer $n$, $$a^{-n}