🧮 algebra

1. **Evaluate g(3) + g(-3)** given $g(x) = 2x + 1$. Use the function definition:

1. **State the problem:** Solve the equation $ (4+6)(4+6x) = 25 - 3.5(x+4) $ for $x$. 2. **Simplify the left side:** Calculate $4+6=10$, so the equation becomes:

1. **State the problem:** Solve the equation $4(11x - 26) = 4 - 4(x + 5)$. 2. **Apply the distributive property:** Multiply each term inside the parentheses by 4.

1. **State the problem:** Solve the equation $$\frac{18}{t} = 3 + 6$$ for $t$. 2. **Simplify the right side:**

1. **State the problem:** Solve the equation $$\frac{18}{t} = 3 + 6$$ for the variable $t$. 2. **Simplify the right side:**

1. **State the problem:** We need to find the temperature at the mountain top given that the village temperature is 3°C and the mountain top temperature is 12°C lower. 2. **Formula

1. Problem 44 a) Simplify $$3^{-2} : 3^{-4} - \left(\frac{3}{5}\right)^{-2}$$ 2. Use the rule for division of powers with the same base: $$a^m : a^n = a^{m-n}$$

1. **State the problem:** The sea level at low tide is $-2.50$ metres. We want to find the sea level when it is $1.97$ metres above this level. 2. **Formula and explanation:** To f

1. **State the problem:** We are given the function $h(x) = 1 - \sqrt{x}$ and we want to understand its behavior. 2. **Recall the square root function:** The square root function $

1. The problem asks to write an expression for the sequence of operations: add 3 to 5, then divide $z$ by the result. 2. First, add 3 to 5: $$5 + 3$$

1. **State the problem:** The Fabulous Fish Market buys tilapia at 3 per pound and salmon at 5 per pound, with a daily budget of 210.

1. **Muammo bayonoti:** Quyidagi to'rt noma'lumli chiziqli tenglamalar sistemasini yeching: $$\begin{cases} 11x_1 - 10x_2 + 15x_3 + 5x_4 = -4 \\ x_1 + 3x_2 + 6x_3 + 2x_4 = -3 \\ 7x

1. **Problem statement:** Find the coefficient of $x^{3}$ in the product $(2 - 3x)^{5} (1 + x)^{4}$ using the binomial theorem. 2. **Recall the binomial theorem:** For any integer

1. **Stating the problem:** We need to identify and highlight the perfect squares from 1 to 100 in the given table. 2. **Recall the definition:** A perfect square is a number that

1. **State the problem:** Simplify the expression $$\left(\frac{p^2 q^3}{4}\right) \times \left(\frac{8}{2p^2 q}\right) \div pq$$. 2. **Rewrite the expression clearly:**

1. **Problem Statement:** Simplify the expression $\frac{p^{2}q^{3}}{4} \times 8 \div 2p^{2}q$. 2. **Recall the rules:**

1. **Problem statement:** We are given combinations of pounds of tilapia and salmon that a market can order. We want to find five different combinations, define variables and an eq

1. **State the problem:** Solve the equation $$8a - 12 = 2a + 12$$ for the variable $a$. 2. **Write down the equation:** $$8a - 12 = 2a + 12$$

1. **State the problem:** Solve the equation $$3(x - 4) + 2 = 5x - 10$$ for $x$. 2. **Apply the distributive property:** Multiply 3 by each term inside the parentheses.

1. **Stel het probleem:** Vereenvoudig de uitdrukking $$(2x^2 - 3y)(3x^2 - 5y)$$. 2. **Gebruik de distributieve eigenschap (FOIL-methode):**

1. **State the problem:** We are given two functions: $$f(x) = \frac{1}{2}x + 5$$