🧮 algebra

1. **State the problem:** Walmart charges a delivery fee of 3% of the total grocery bill. We need to find the total price including the delivery fee for groceries worth 140. 2. **F

1. **State the problem:** Evaluate the expression $\left(5 \div (-5) - (-8)\right) \times \left(8 + (-6)\right)$.\n\n2. **Recall the order of operations:** Perform division and add

1. **State the problem:** Solve the equation $$\frac{1}{6}x + \frac{2}{3}x = 1$$ for $x$. 2. **Identify the formula and rules:** To solve for $x$, combine like terms on the left si

1. **State the problem:** Marie-Eve runs a daycare charging 12 per baby and 8 per toddler per day.

1. **State the problem:** Simplify the expression $$\frac{-3x^6}{5x^3} \cdot 3x^3$$. 2. **Recall the rules:**

1. **State the problem:** Simplify the expression $$6 \cdot (-a^6 b)^2 + 9a^{12} b^2$$. 2. **Recall the formula and rules:** When raising a power to another power, multiply the exp

1. The problem states that the function $f$ is exponential and passes through points $(0,5)$ and $(1.5,10)$. We need to find $f(3)$. 2. The general form of an exponential function

1. **State the problem:** Martina buys $p$ pounds of chocolate, each pound costing 8 dollars. We want to write an equation for the total cost $c$.

1. The problem asks to verify if the first two parabolas are correctly graphed and then to explain how to graph the third and fourth parabolas. 2. For the first parabola: $y = -(x

1. **Problem Statement:** Charlie makes 8 dollars for each hour of work. We need to write an equation to represent his total pay $p$ after working $h$ hours. 2. **Understanding Pro

1. **State the problem:** Solve for $x$ in the equation $$1.6 (-2x + 7.3) + 3x = 3.2 - x.$$\n\n2. **Distribute 1.6 across the parentheses:**\n$$1.6 \times -2x + 1.6 \times 7.3 + 3x

1. **State the problem:** Solve for $x$ in the equation $$1.6(-2x + 7.3) + 3x = 3.2 - x.$$\n\n2. **Distribute the 1.6:** Multiply $1.6$ by each term inside the parentheses:\n$$1.6

1. **Problem:** Find the slope between the points (5, 2) and (6, 3). 2. **Formula:** The slope $m$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by:

1. Stating the problem: Find the value of $y$ for the function $y = u(u^2 + 3)^3$ when $u = (x + 3)^2$ and $x = -2$. 2. Substitute $x = -2$ into $u = (x + 3)^2$:

1. **State the problem:** Solve the inequality $2k - 7 < 7k + 6$ for $k$. 2. **Write the inequality:**

1. The problem is to create a mapping statement, which in mathematics typically means defining a function that maps elements from one set to another. 2. A mapping statement usually

1. The problem states the inequality $t \leq 100$ which means the total weight $t$ of the produce carried by the truck must be less than or equal to 100 kilograms. 2. The truck is

1. **State the problem:** We are given the function $f(x) = \frac{1}{2} \sqrt{-4x}$ and need to understand its domain and simplify it if possible. 2. **Recall the domain rule for s

1. Let's clarify the origin of the term $8x^2$ in the expression. 2. Typically, $8x^2$ comes from multiplying constants and variables, for example, $4 \times 2x^2 = 8x^2$.

1. **State the problem:** Simplify the expression $$5^{2x+3} \cdot 5^{x-5}$$. 2. **Recall the rule for multiplying powers with the same base:** When multiplying powers with the sam

1. **State the problem:** Simplify the expression $$\frac{(-2)^4 - 4 + 9x - 2 + 6}{2 - (-3)(2 - 5)}$$