🧮 algebra

1. Planteamiento del problema: Se desea diseñar un protector de cartón para una barra de mantequilla con las siguientes dimensiones:

1. **State the problem:** Simplify the expression $+15 - (-4)$. 2. **Recall the rule:** Subtracting a negative number is the same as adding its positive counterpart. So, $a - (-b)

1. **State the problem:** Solve the system of linear equations: $$13x - 6y = -2$$

1. **State the problem:** Solve the linear equation $13x - 6y = -2$ for $y$ in terms of $x$. 2. **Formula and rules:** To solve for $y$, isolate $y$ on one side of the equation. Th

1. **State the problem:** Solve the inequality $$3 - 2x \leq x + 15$$. 2. **Isolate the variable terms:** Move all terms involving $x$ to one side and constants to the other.

1. The problem states that DOE equals 16 and EOG equals 25. 2. These appear to be values assigned to variables or expressions named DOE and EOG.

1. The problem is to find the unit price per can for each box of sauce given the total price and number of cans. 2. The formula to find the unit price is:

1. The problem is to find the factor pairs of 4. 2. Factor pairs of a number are pairs of integers that multiply together to give the original number.

1. **State the problem:** Simplify the expression $$(-3xy^{-5} z^8) \times (2x^{-3} y^2)$$. 2. **Write the expression:** $$-3xy^{-5} z^8 \times 2x^{-3} y^2$$.

1. **State the problem:** Simplify the monomial expression $$\frac{18 a^{3} b^{-2} \cdot 5 a b^{2}}{9 a^{4} b \cdot (- a b^{3})}$$ and express the final answer using only positive

1. The problem asks which expression can be written as $4(x + 6)$. This means we want to find an expression equivalent to distributing 4 over the sum inside the parentheses. 2. The

1. **State the problem:** Simplify the expression $$3(6x^{-9} y^{7} z^{2}) - 3xy^{5} 8x^{2} z^{-3} y^{2} - 3xy^{5} 8x^{2} z^{-3} y^{2}$$. 2. **Rewrite the expression:**

1. The problem asks which expression can be written as $4(x + 6)$. 2. Recall the distributive property:

1. Let's clarify the question: "Why is the first one cubed?" This usually refers to an expression where the first term is raised to the power of 3. 2. The cube of a number or expre

1. **State the problem:** Given the table of values for $x$ and $y$, find the equation of the line that fits these points. 2. **Recall the formula for a linear function:** The gene

1. **State the problem:** Show that the expressions

1. **State the problem:** We need to find the equation of the linear function in slope-intercept form $y=mx+b$ that fits the points given in the table: $(-1,0)$, $(1,4)$, $(3,8)$,

1. Let's start by understanding what you want to do. You asked "How to do it explain easy," so I will explain how to solve a simple algebra problem step-by-step in an easy way. 2.

1. **State the problem:** Solve the system of equations with three variables $x$, $y$, and $z$. 2. **General form:** A system of three linear equations can be written as:

1. The problem is to solve the equation with the number 3 involved, but since the exact equation is not specified, let's consider a simple example: solve for $x$ in $x + 3 = 0$. 2.

1. **Write the statements into algebraic expressions:** (i). Four times the sum of $x$ and three: