🧮 algebra

1. **State the problem:** We are given the inverse function $f^{-1}(x)$ as a set of points: $\{(1, -10), (-5, -8), (10, -7), (0, -6), (6, 0)\}$. We want to understand the domain an

1. **State the problem:** Solve the system of equations: $$5y = 2x - 6$$

1. The problem asks how to solve part B, but since the original question is not provided, I will explain a general approach to solving algebraic problems labeled as B. 2. Typically

1. **State the problem:** Solve the system of equations using substitution: $$3y = -4x - 1$$

1. **State the problem:** Find the gradient of the line passing through points (0, 7) and (4, 0). 2. **Formula:** The gradient (slope) $m$ of a line through points $(x_1, y_1)$ and

1. Stating the problem: Simplify the expression $$\frac{8mn}{3} \div \frac{4mn^2}{5}$$ and choose the correct option. 2. Recall the rule for division of fractions: $$\frac{a}{b} \d

1. **State the problem:** We need to find the difference in lengths between two beams, one of length $\sqrt{72}$ meters and the other $\sqrt{18}$ meters. 2. **Recall the formula:**

1. **State the problem:** We need to find the total number of school items being shipped if each box contains $2xy + 3y^2$ items and there are $4x$ boxes. 2. **Write the expression

1. **State the problem:** Simplify the expression $$-4(9x + 2) + 6(7 - 8x)$$ and find which multiple choice answer matches. 2. **Use the distributive property:** Multiply each term

1. The problem states that the temperature at 1 a.m. was $3 \frac{1}{2}$ degrees Fahrenheit, which is $3.5$ degrees. 2. The temperature changes by $-1 \frac{1}{2}$ degrees per hour

1. **State the problem:** Simplify the expression $$\left[(c^2 d)^4 \times (c^3 d^5)^2\right]^3 \div (c^4 d^7)^5$$. 2. **Recall exponent rules:**

1. **State the problem:** Simplify the expression $$\frac{(10m^5 n^7)^3}{(5mn^3)^2}$$ and determine which multiple-choice answer is correct. 2. **Write the formula and rules:** Whe

1. **State the problem:** Simplify the expression $x^2 y^4 (x^8 y^5)^4$. 2. **Recall the exponent rules:**

1. **State the problem:** Gary ran 6 more laps than Edwin, and together they ran 40 laps. We need to check if the given statements and system of equations are true or false. 2. **D

1. **State the problem:** We are given two pairs of lines and need to determine if each pair is parallel, intersecting, or the same line, and identify the number of solutions for e

1. **State the problem:** Simplify the expression $$\sqrt{\frac{75}{30}}$$. 2. **Recall the property of square roots:** $$\sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}}$$ where $a$

1. **State the problem:** Simplify the expression for $y$ given by $$y = \frac{3}{2} (-3 + t)$$. 2. **Formula and rules:** To simplify, use the distributive property: $$a(b + c) =

1. **Problem Statement:** Find the equation of the line of best fit for the car value data from 2013 to 2020, predict the car value in 2025, determine if the prediction is interpol

1. **State the problem:** Multiply the expressions $2\sqrt{7}$ and $6\sqrt{35}$ and simplify the result. 2. **Recall the multiplication rule for radicals:** When multiplying square

1. **State the problem:** Multiply the square roots $\sqrt{3}$ and $\sqrt{5}$ and write the answer in simplest form. 2. **Recall the multiplication rule for square roots:**

1. **State the problem:** We need to find Stephen's height given that Stephen is taller than Marcus by half the difference between Kobe's height and Marcus's height. 2. **Given val