🧮 algebra

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:

1. **Stating the problem:** We want to solve a system of equations with two variables, for example: $$\begin{cases} ax + by = c \\ dx + ey = f \end{cases}$$

1. **State the problem:** Given $t=8$ and $u=9$, evaluate the expression (expression not provided, so assuming a general evaluation of $t$ and $u$). 2. **Identify the expression:**

1. The problem is to solve the equation $2x + 3 = 11$ for $x$. 2. We use the basic algebraic principle of isolating the variable $x$ by performing inverse operations.

1. **State the problem:** Find the two solutions to the equation $$(5x - 1)(x - 2) = 0.$$\n\n2. **Recall the zero product property:** If a product of two factors equals zero, then

1. **State the problem:** Simplify the expression $ (x^2)^2 $. 2. **Recall the power of a power rule:** When raising a power to another power, multiply the exponents:

1. **State the problem:** Solve the equation $$4|2x + 3| + 8 = 20$$ for $x$. 2. **Isolate the absolute value:** Subtract 8 from both sides: