🧮 algebra

1. **Énoncé du problème :** Factoriser les expressions données en utilisant le facteur 1 ou -1. 2. **Utilisation du facteur 1 :**

1. The problem is to solve the equation $2|x + 4| = 40$. 2. Start by isolating the absolute value expression:

1. The problem is to identify which of the given functions correspond to the first or second notable identities: $$\alpha^2 + 2\alpha b + b^2 = (a + b)^2$$

1. **State the problem:** Solve the equation $$\frac{3}{2} |x - 5| = 0$$. 2. **Isolate the absolute value:** Since $$\frac{3}{2}$$ is a nonzero constant, divide both sides by $$\fr

1. Problem: Calculate $\frac{3}{4} + \frac{5}{8}$. - Convert $\frac{3}{4}$ to eighths: $\frac{3}{4} = \frac{6}{8}$.

1. The problem is to find the number of solutions to the quadratic equation $$-\frac{3}{7}x^2 + x - 7 = 0$$. 2. To determine the number of solutions, we calculate the discriminant

1. The problem is to find the next three numbers in the sequence: 4, 8, 16, 32, _, _, _. 2. Observe the pattern: each number is multiplied by 2 to get the next number.

1. **State the problem:** Simplify the expression $$(2\sqrt{x} + \sqrt{y}) - (\sqrt{x} - 2\sqrt{y})$$. 2. **Remove parentheses carefully:**

1. **State the problem:** Simplify the expression $$\sqrt{\frac{25x^6y^3}{16x^2y^9}}$$ and interpret the result. 2. **Simplify inside the square root:**

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

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