🧮 algebra

1. **State the problem:** Simplify the expression $$2^3(4^2 - 4) \times 3 \times \left[ \frac{3a^4 b^{-1}}{8a^{-2} b^{-3}} \right]^{-2}$$. 2. **Simplify inside the parentheses:** C

1. **Énoncé du problème :** Simplifier et factoriser les expressions données en utilisant les propriétés algébriques, notamment le facteur 1, le facteur -1, et les identités remarq

1. The problem is to express the decimal 0.298 as a fraction. 2. Write 0.298 as \frac{298}{1000} because 0.298 means 298 thousandths.

1. The problem is to understand how to calculate the change in fractions. 2. Suppose you have an initial fraction $\frac{a}{b}$ and a final fraction $\frac{c}{d}$.

1. Problem: Find the missing number (□) in each vertical line graph where two numbers on top are connected and a vertical line descends to a missing number or given number. 2. Step

1. The problem involves analyzing T-shaped diagrams with numbers at the ends of the horizontal line and one number below the vertical line. 2. For exercises with two numbers on the

1. The problem is to simplify the expression $\frac{p}{t} \times \frac{2}{4}$.\n\n2. First, multiply the numerators together and the denominators together:\n$$\frac{p}{t} \times \f

1. The problem asks to write $9^2$ as a percentage. 2. First, calculate $9^2$ which means $9 \times 9$.

1. **State the problem:** We have a compound L-shaped figure made of two rectangles. The total area is 188 m². We need to find the value of $x$ given the side lengths in terms of $

1. The problem asks to express the given conditions as inequalities involving pixels per inch (ppi) and width in pixels. 2. The first condition states: 72 pixels per inch is less t

1. **Problem 1:** Jonah has 750. He spends \frac{1}{4} of this money on travel and some on food. After spending, he has 437.50 left. Find the fraction of 750 he spends on food. Ste

1. **State the problem:** Calculate the product $1.827 \times 10 \times 9000 \times 6$ and express the answer in standard form. 2. **Calculate step-by-step:**

1. The problem states that a television originally costs 550 and the price is reduced by 4%. We need to find the new price after the reduction. 2. Calculate the amount of the reduc

1. **State the problem:** Trevor bought two items priced at 800 and 400 respectively, and he paid 12.5% VAT on the total price. We need to find the total amount Trevor paid includi

1. **State the problem:** We have a rectangular field with width 35 m. Around the field, 15 poles each 5 m wide are placed 7 m apart. We need to find the length of the field. 2. **

1. The problem asks to write the repeating decimal $0.146\overline{0}$ as a fraction in simplest form. 2. Note that $0.146\overline{0}$ means the decimal $0.146000\ldots$ where the

1. **State the problem:** Anna Lee has 3 bags of sweets with quantities 145, 206, and 167. 2. **Find the total number of sweets:**

1. The problem asks to work out the expressions and give each answer in standard form. (a) Evaluate $2 \times 1.10^8 \times 10^{101}$.

1. We are given the expression $$E = 2x + \frac{3x + 7}{x + 4}$$ with the domain $$x \in [1, 5[.$$\n\n2. The problem is to understand and simplify the expression for values of $$x$

1. We are given the expression $$E = 2x + \frac{3x + 7}{x + 4}$$ with the domain $$x \in [1, 5[.$$\n\n2. First, understand the problem: we want to simplify or analyze the expressio

1. **Problem Statement:** Find the gradient and equation of the line passing through points A(2,3) and B(9,4), then find the equation of a line parallel to it passing through C(4,5