🧮 algebra

1. **State the problem:** Solve the system of equations by graphing and find the solution as an ordered pair. Given system:

1. **State the problem:** Solve the system of equations for $x$ and $y$: $$2x + y = 8$$

1. **State the problem:** Jason records songs in a pattern: 2 songs on day 1, 4 songs on day 2, 8 songs on day 3. We need to find how many songs he records on day 5. 2. **Identify

1. **State the problem:** We need to find which value of $x$ satisfies the inequality $$\frac{1}{9} < x < 19\%.$$ 2. **Convert all values to decimals for easy comparison:**

1. **State the problem:** Solve the system of linear equations: $$2x + y = 8$$

1. **State the problem:** We need to find how many solutions the equation $$2(x - 4) = 4 - 2x$$ has. 2. **Write the equation:** $$2(x - 4) = 4 - 2x$$

1. The problem is to find the zeros (roots) of a quadratic equation, which are the values of $x$ where the quadratic equals zero. 2. The general form of a quadratic equation is $$a

1. **State the problem:** We have a tank with 100 gallons of water at noon. Pipes A and B add water to the tank, while pipe C removes water. We want to find the function $T(x)$ tha

1. **State the problem:** We are given the system of equations: $$2x + 3y = 7$$

1. **State the problem:** We are given a system of equations: $$x + y = 5$$

1. **Stating the problem:** We are given the number of squares formed in patterns 1 and 2 and need to complete the table for patterns 3 to 6.

1. **Stating the problem:** We have a sequence of patterns made with discs. We want to find formulas for the number of discs in pattern $n$, the total discs for the first $n$ patte

1. **State the problem:** We have data showing the number of candies $x$ dropped into a bottle and the resulting height $y$ of the soda geyser in feet. 2. **Given data:**

1. **Problem Statement:** We are given two functions, a rational function $f(x)$ and an absolute value function $g(x)$, graphed on the coordinate plane. We need to find the interva

1. **State the problem:** Find the domain of the function $$f(x,y) = \frac{xy}{y - 2x}$$. 2. **Recall the domain rule:** The domain of a function includes all input values for whic

1. **State the problem:** Solve for $x$ in the equation $x + 2 = 4$. 2. **Formula and rules:** To isolate $x$, subtract 2 from both sides of the equation.

1. **State the problem:** Solve for $x$ in the equation $x + 2 = 4$. 2. **Formula and rules:** To isolate $x$, subtract 2 from both sides of the equation.

1. **Stating the problem:** We have two shopping bags with prices and quantities of two types of compotes: A (abóbora) and M (morango).

1. **State the problem:** Solve the system of linear equations for $x$ and $y$: $$2x + y = 8$$

1. **State the problem:** Solve the equation $$a^3 + a^2 = 36$$ for the variable $a$. 2. **Rewrite the equation:** We want to find $a$ such that $$a^3 + a^2 - 36 = 0$$.

1. Problem: find $\sqrt[3]{64}$. 2. Formula used: if $a^3=b$, then $\sqrt[3]{b}=a$.