🧮 algebra

1. **State the problem:** Solve the equation $$5(2+x)+3x=4x$$. 2. **Distribute 5:** Apply the distributive property to multiply 5 by each term inside the parentheses.

1. Problem: Find the linear equation given slope and a point or y-intercept. 2. Formula: The slope-intercept form of a line is $$y = mx + b$$ where $m$ is the slope and $b$ is the

1. The problem asks if the equation $y = mx + c$ can be used. 2. This equation represents the slope-intercept form of a linear function, where $m$ is the slope and $c$ is the y-int

1. **State the problem:** Divide the polynomial $10ax^3 + 27ax^2 + 14a + 6$ by $ax^2 + 2a$ using long division. 2. **Recall the formula and rules:** Polynomial long division is sim

1. The problem involves analyzing the function $$f\left(\frac{T}{2}\right)$$ where $$f(x) = \cos^2 x + a \sin^2 x + b$$ and determining values related to parameters $a$, $b$, and $

1. We are given the equation $\log_5 (x^2 - 5x + 11) = 1$. We need to find the value of $x$. 2. Recall the definition of logarithm: $\log_b a = c$ means $b^c = a$. Here, $b=5$, $c=

1. **State the problem:** Simplify the expression $\frac{+9}{+4}$. 2. **Understand the signs:** A positive divided by a positive is positive. So, $\frac{+9}{+4} = \frac{9}{4}$.

1. The problem asks us to find the value of $x$ that satisfies the equation $$\frac{2x-3}{4} = \frac{3x+1}{6}.$$\n\n2. To solve this, we use the property that if two fractions are

1. **State the problem:** Calculate the product of $-3$ and $-1.7$. 2. **Recall the rule for multiplying signed numbers:**

1. The problem is to add the fractions $\frac{8}{4}$ and $\frac{5}{7}$.\n\n2. To add fractions, we need a common denominator. The denominators are 4 and 7. The least common denomin

1. **State the problem:** Calculate the product of the numbers $+8$, $+12$, $2$, $-3$, $-1.7$, and $+10$. 2. **Recall the multiplication rules:**

1. You want to practice math by working out questions on your own. 2. Here are some sample algebra questions to try:

1. Vamos completar as igualdades dadas. 2. Para 19.1, temos a diferença de quadrados: $b^2 - 6^2 = (b + 6)(b - 6)$, que está correta.

1. **Énoncé du problème :** Reproduire une figure composée d'arcs adjacents disposés horizontalement le long de l'axe des abscisses, avec des points marqués à -1, 0 et +1, et des r

1. **Problem Statement:** Find the x-intercept and y-intercept for each linear equation without graphing. The x-intercept is where $y=0$, and the y-intercept is where $x=0$. 2. **F

1. **Stating the problem:** Calculate the value of $$\frac{-46}{-0.5}$$. 2. **Formula and rules:** Division of two numbers is performed by dividing the numerator by the denominator

1. The problem is to express the number 4.6 multiplied by 10 to the power of -2 in standard decimal form. 2. The formula for scientific notation is $a \times 10^n$, where $a$ is a

1. **State the problem:** Solve the quadratic equation $x^2 - 5x + 6 = 0$. 2. **Recall the formula:** For a quadratic equation $ax^2 + bx + c = 0$, the solutions are given by the q

1. Let's consider the problem: Solve the quadratic equation $$x^2 - 5x + 6 = 0$$ on your own. 2. The formula to solve quadratic equations is the quadratic formula:

1. **State the problem:** Solve the system of linear equations given by the matrix and the condition $x_3 = 2$. The system corresponds to:

1. **State the problem:** Simplify the expression $\sqrt{12} + 3$. 2. **Recall the formula and rules:** The square root of a product can be expressed as the product of square roots