🧮 algebra

1. **State the problem:** Simplify the expression by combining like terms: $x + 2y + x + 2$. 2. **Identify like terms:** Like terms are terms that have the same variable raised to

1. **State the problem:** Simplify the expression $5 \cdot x^3 - 8x + 2y + x + 2$. 2. **Combine like terms:** Group the terms with $x^3$, $x$, $y$, and constants separately.

1. **State the problem:** Multiply and simplify the expression $-2x (x^2 - 8)$ and then name the simplified polynomial. 2. **Use the distributive property:** Multiply $-2x$ by each

1. **State the problem:** Simplify the algebraic expression $5k - 14 - 1 + 1k$. 2. **Combine like terms:** The terms involving $k$ are $5k$ and $1k$.

1. **State the problem:** Multiply and simplify the expression $2x(x^2 - 8)$. Then name the simplified polynomial. 2. **Use the distributive property:** Multiply $2x$ by each term

1. Planteamos el problema: Multiplicar los polinomios dados según cada inciso. 2. Recordemos que para multiplicar polinomios usamos la propiedad distributiva: $$ (P(x) \cdot Q(x))

1. **State the problem:** Samantha has 1500 in her bank account and spends 35 per week. We want to find how many weeks, $x$, it will take for her account balance to be less than 91

1. **State the problem:** Solve the equation $$\sqrt{x + 2} + 1 = x - 3$$ for $x$. 2. **Isolate the square root:** Subtract 1 from both sides:

1. **State the problem:** Solve the quadratic equation $$x^2 - (2\sqrt{3} + 1)x + 2\sqrt{3} = 0$$. 2. **Recall the quadratic formula:** For an equation $$ax^2 + bx + c = 0$$, the s

1. **State the problem:** Solve the equation $$(3x - 2)^{\frac{3}{2}} + 7 = 15$$ for $x$. 2. **Isolate the power term:** Subtract 7 from both sides:

1. **State the problem:** Solve the expression $\frac{y \times x}{6}$ given $c=12$ and $y=13$.\n\n2. **Identify the variables and formula:** The expression is $\frac{y \times x}{6}

1. **State the problem:** We have two lines graphed on a coordinate plane and need to find their equations and estimate the solution to the system formed by these lines. 2. **Ident

1. The problem is to solve the expression $10pm$ using the values $m=2$ and $p=3$. 2. Here, $10pm$ means $10 \times p \times m$.

1. **State the problem:** Solve the equation $$\frac{15(x - 3)}{5} = 3(2x - 3)$$. 2. **Write down the formula and rules:** To solve linear equations, we simplify both sides and iso

1. Énoncé du problème : Le volume $V(t)$ d'air chaud dans l'enveloppe d'une montgolfière varie en fonction du temps $t$ (en minutes) selon une fonction racine carrée. On sait que $

1. The problem is to match the graph with the correct slope type: positive, zero, undefined, or negative. 2. Recall the definitions of slope:

1. The problem asks to find the slope $m$ of the line passing through points $(-6,4)$, $(-3,2)$, $(0,0)$, and $(3,-2)$. 2. The slope formula for a line through two points $(x_1,y_1

1. Planteamos el problema: realizar las multiplicaciones de polinomios dadas. 2. Recordemos que para multiplicar un monomio por un polinomio, multiplicamos el monomio por cada térm

1. **State the problem:** Given the table with values of $x$ and $y$, find the equation relating $x$ and $y$ and then find the missing $y$ value when $x=20$. 2. **Analyze the data:

1. The problem is to evaluate the expression $\frac{3}{4} + \frac{2}{5}$. 2. To add fractions with different denominators, find the least common denominator (LCD). Here, LCD of 4 a

1. **State the problem:** Simplify the expression $$\left[\frac{(2.1a^2bc)^2 \left(-\frac{35}{4} a^4 b^{-1} c^{-2}\right)^{-1}}{\left(-2\frac{1}{2} a^5 b^0 c^{-7}\right)^{-2} \left