🧮 algebra

1. Imagine you have $x^2$. It means $x$ times $x$. 🟦 🟦 2. Factoring means finding what multiplies to make $x^2$. Here, it's $x \times x$. 🔄

1. **State the problem:** Solve the equation $$\frac{n \times n + n}{n} = 10$$ for $n$. 2. **Rewrite the expression:** The numerator is $n \times n + n = n^2 + n$.

1. **State the problem:** Solve the system of equations using row operations: $$\begin{cases}-6x - 5y - 3z = 17 \\ 3x - 4y + 4z = -19 \\ -6x + 3y - 6z = 30 \end{cases}$$

1. **State the problem:** We have the system of equations: $$\begin{cases} 4x - 5y + 3z = -5 \\ 44x + 17y + kz = -40 \\ -8x - 8y + 3z = 5 \end{cases}$$

1. **State the problem:** Find the y-intercept of the line given by the equation $$-3y - 4x = 15$$. 2. **Recall the y-intercept definition:** The y-intercept is the point where the

1. **State the problem:** Find the equation of the line passing through the point $(3,1)$ with slope $m = -\frac{4}{3}$.\n\n2. **Formula used:** The point-slope form of a line is g

1. **State the problem:** Find the equation of the line passing through the point $(5, -3)$ with slope $\frac{2}{5}$. 2. **Formula used:** The point-slope form of a line is given b

1. **State the problem:** Find the equation of the line passing through the point $(6, -5)$ with slope $m = -\frac{1}{3}$. 2. **Formula used:** The point-slope form of a line is gi

1. **State the problem:** Find the equation of the line passing through the point $(5, 4)$ with slope $2$. 2. **Formula used:** The point-slope form of a line is given by:

1. **State the problem:** Solve the equation $$6^x = 7x + 4$$ for $x$. 2. **Understand the equation:** This is a transcendental equation where an exponential function equals a line

1. **State the problem:** Convert the standard form equation $x + y - 3 = 0$ to slope-intercept form $y = mx + b$. 2. **Recall the formula:** The slope-intercept form is $y = mx +

1. **State the problem:** Kenisha has two salary options: Option 1 is $500 plus 4% commission, Option 2 is $400 plus 5% commission. We want to find the sales amount $x$ where both

1. **State the problem:** Solve the equation $-2a + 7 = a - 8$ for $a$. 2. **Write the equation:**

1. The problem is to analyze the function $$y = e^{2\sqrt{2x}}$$. 2. This is an exponential function where the exponent is $$2\sqrt{2x}$$. The base $$e$$ is Euler's number, approxi

1. **State the problem:** Calculate the value of the expression $$8 \times 3 + 70 \div 7 - 7$$. 2. **Recall the order of operations:** Use PEMDAS/BODMAS rules: Parentheses, Exponen

1. **Problem Statement:** Find the x-intercept and y-intercept of the line described. 2. **Understanding intercepts:**

1. The problem involves understanding the unit price and quantities on hand and on the sales floor. 2. The unit price is given as $2.97, which means each item costs 2.97.

1. The problem involves understanding the inventory distribution of vanilla bean ice cream at location A16-7, position 0005. 2. We are given three quantities: ON HAND = 14, SALES F

1. **State the problem:** Forty-three less than twice a number $n$ is 5 more than the number $n$. We need to find the value of $n$. 2. **Write the equation:** "Forty-three less tha

1. **State the problem:** Simplify the expression $\frac{1}{2} (8x - 10) + 9x$. 2. **Recall the distributive property:** $a(b + c) = ab + ac$. We will distribute $\frac{1}{2}$ over

1. **State the problem:** Melissa wants to find the cost of sending a letter in 1990 using the information about the cost of sending postcards and letters.