🧮 algebra

1. **State the problem:** Simplify the expression $X + 12 - 15$. 2. **Understand the operation:** Addition and subtraction are performed from left to right.

1. **State the problem:** We need to find expressions that represent the total cost for 25 students each buying a day pass costing 10 and a lunch ticket costing $t$ dollars. 2. **D

1. **State the problem:** Solve the inequality $$10.8 - 1.8 > 14.04$$. 2. **Simplify the left side:** Calculate $$10.8 - 1.8$$.

1. **State the problem:** We want to find the distance $x$ (in kilometers) where the rental costs from company A and company B are equal. 2. **Define variables and write the cost f

1. **State the problem:** Solve the system of equations: $$3x - 2y + 4z = 5$$

1. **State the problem:** Mabel needs to buy blueberries for $b$ batches of scones. Each batch requires 2 cartons, and each carton costs 4. 2. **Identify the formula:** Total cost

1. **State the problem:** Jamelia and Shahzad earn a combined salary of 110000.

1. Problem: Determine the parity (evenness or oddness) of the function $$f(x) = \ln\left(\frac{5 - x}{x + 5}\right)$$. 2. Recall that a function $f$ is even if $f(-x) = f(x)$ for a

1. **State the problem:** Simplify the expression $$\sqrt{80} - \sqrt{45} + 10 \times \sqrt{5}$$. 2. **Recall the formula and rules:** The square root of a product can be written a

1. **State the problem:** Simplify the expression $f(x) - 3 + \frac{5}{x}$. 2. **Understand the expression:** The expression consists of a function $f(x)$, a constant $-3$, and a r

1. **State the problem:** Simplify or understand the expression $$\frac{x^4}{4}$$. 2. **Formula and rules:** This is a simple algebraic expression where the numerator is $x^4$ (x r

1. Problem: Napišimo kvadratnu jednadžbu kojoj su rješenja $x_1=2$ i $x_2=5$. 2. Formula: Kvadratna jednadžba s korijenima $x_1$ i $x_2$ može se napisati kao $$a(x - x_1)(x - x_2)

1. **Énoncé du problème :** Nous avons une fonction quadratique $g(x)$ avec des valeurs données pour certains $x$ :

1. Let's solve a simple algebraic problem: Solve for $x$ in the equation $2x + 3 = 7$. 2. The formula to isolate $x$ is to subtract 3 from both sides and then divide both sides by

1. The problem is to simplify the expression $(p3 q2)5$. 2. First, interpret the expression. Assuming it means $(p^3 q^2)^5$ where $p$ and $q$ are variables.

1. **Problem:** Given the logarithmic equations $\log_g xy = \frac{5}{2}$ and $(\log_3 x)(\log_3 y) = -6$, find the values of $x$ and $y$ or relate them. 2. **Step 1: Understand th

1. Probleemstelling: Los de vergelijking op. 2. Omdat er geen specifieke vergelijking is gegeven, neem ik aan dat je een algemene lineaire vergelijking wilt oplossen, bijvoorbeeld

1. **Stel het probleem vast:** Bereken de waarde van $$\frac{10^{\frac{4}{5}}}{10^{\frac{1}{2}}}$$. 2. **Gebruik de regel van machten:** Bij deling van machten met dezelfde grond,

1. **State the problem:** Solve the equation $1 - 2^{3-x} = 0$ for $x$. 2. **Isolate the exponential term:** Add $2^{3-x}$ to both sides and subtract 0 from both sides:

1. **State the problem:** We are given points $A(-4,5)$ and $B(6,1)$, and the vector $\overrightarrow{BC} = \begin{pmatrix} -3 \\ -4 \end{pmatrix}$. We need to find:

1. **State the problem:** Make $x$ the subject of the formula given by $$9y = 8 - x$$ 2. **Rewrite the equation:** We want to isolate $x$ on one side. Start by moving terms to isol