🧮 algebra

1. **State the problem:** Solve the equation $$18 = 3(2 + t)$$ for the variable $t$. 2. **Distribute the 3 on the right side:**

1. **State the problem:** Solve the equation $$2(x - 3) = 12$$ for $x$. 2. **Distribute the 2:** Multiply 2 by each term inside the parentheses:

1. **State the problem:** Solve the equation $$2(r - 1) = 8$$ for the variable $$r$$. 2. **Distribute the 2:** Multiply 2 by each term inside the parentheses:

1. **State the problem:** Solve the equation $2(x + 1) = 10$ for $x$. 2. **Distribute the 2:** Multiply 2 by each term inside the parentheses:

1. **State the problem:** Solve the equation $n - 13 = 16$ to find the value of $n$. 2. **Isolate the variable:** To solve for $n$, add 13 to both sides of the equation to cancel o

1. The problem is to solve the equation $x - 2 = 6$ for $x$. 2. To isolate $x$, add 2 to both sides of the equation:

1. The problem is to solve the equation $y + 14 = 19$ for $y$. 2. To isolate $y$, subtract 14 from both sides of the equation:

1. Let's start by understanding the problem: We want to find the Highest Common Factor (HCF) and Least Common Multiple (LCM) of given numbers. 2. Case 1: Find HCF and LCM of two nu

1. **State the problem:** Solve the equation $r + 2 = 7$ for $r$. 2. **Isolate the variable:** To find $r$, subtract 2 from both sides of the equation:

1. The problem is to solve the equation $r + 2 = 7$ for $r$. 2. To isolate $r$, subtract 2 from both sides of the equation:

1. The problem gives the height of a roller coaster cart as a function of time: $$y = -0.05(x - 55.5)^2 + 154$$ with domain $$0 < x \leq 111$$. 2. This is a quadratic function in v

1. **State the problem:** Expand and simplify the expression $$(5x + 2)(x + 1)$$. 2. **Apply the distributive property (FOIL method):** Multiply each term in the first binomial by

1. **State the problem:** We need to find the difference in money earned between the most profitable and least profitable seller based on their weekly sales of Product A and Produc

1. **State the problem:** An RV dealer buys 14 RVs at $25,250 each and sells them with a 22% markup. The dealer has monthly business costs of $45,000. We need to find the profit af

1. Let's start by understanding what power notation (also called exponents or indices) means. 2. Power notation is a way to express repeated multiplication of the same number.

1. The problem states that for every 2 flavor packages, 300 ml of sugar is needed. 2. We want to find an equation relating $s$, the amount of sugar in milliliters, to $f$, the numb

1. **State the problem:** We have two lines, line $l$ passing through points $(2,5)$ and $(4,11)$, and line $m$ with slope $-2$ and $x$-intercept $5$. We need to find the $y$-coord

1. The problem is to find the equation of a function similar to the previous one you sent. Since the previous function is not provided here, let's assume a general quadratic functi

1. **احسب قيمة A:** المعطى: $$A = (-5) + \left(\frac{26}{2}\right) \times (-0.5)$$

1. Problem 1: Solve for $x$ in the equation $$2x + 5 = 15$$. Step 1: Subtract 5 from both sides to isolate the term with $x$.

1. The problem asks to simplify the expression $g + g$. 2. Since both terms are the same variable $g$, we can combine them by addition.