🧮 algebra

1. **State the problem:** Solve the equation $$\frac{2x-5}{3} - \frac{x}{2} = \frac{4-x}{6}$$ for $x$. 2. **Identify the formula and rules:** To solve equations with fractions, fin

1. **Planteamiento del problema:** Factorizar el trinomio $$x^2 + 2x - 3$$. 2. **Fórmula y reglas importantes:** Para factorizar un trinomio de la forma $$ax^2 + bx + c$$ cuando $$

1. El problema es factorizar el trinomio $49x^2 + 2x - 3$. 2. Para factorizar un trinomio de la forma $ax^2 + bx + c$, buscamos dos números que multiplicados den $a \times c$ y sum

1. El problema es factorizar la expresión $y(y-6) + 9(y-6)$ usando factor común. 2. La fórmula para factor común es $a b + a c = a(b + c)$, donde $a$ es el factor común.

1. **State the problem:** Solve the equation $4R - 3 = 3(3R + 4)$ for $R$. 2. **Write the formula and rules:** We will use the distributive property to expand the right side and th

1. **State the problem:** Simplify the expression in the top-left rectangle: $17^2 - 286$. 2. **Recall the formula and rules:** Calculate the square of 17 and then subtract 286.

1. **State the problem:** Solve the absolute value equation $$15 = 5|3x + 3|$$ for $x$. 2. **Isolate the absolute value expression:** Divide both sides by 5:

1. **State the problem:** Solve the absolute value equation $$\frac{2|x - 3|}{5} = 6$$ for $x$. 2. **Formula and rules:** To solve equations involving absolute values, recall that

1. **State the problem:** Solve the compound inequality $$5 < \frac{4x - 16}{8} < 8$$ and find the range for $$x$$. 2. **Recall the rule for compound inequalities:** We can multipl

1. **Stel het probleem vast:** We willen weten hoeveel euro 1 kilogram sojabonen kost, gegeven dat 320 gram sojabonen €1,45 kost. 2. **Formule:** De prijs per kilogram (1000 gram)

1. **Stel het probleem vast:** We willen weten hoe vaak de inhoud van de maxibox groter is dan de inhoud van een mediumbox. 2. **Formule voor inhoud van een rechthoekige doos:**

1. **Stel het probleem vast:** We moeten het totaal aantal slaapzalen berekenen dat nodig is voor jongens en meisjes, waarbij jongens en meisjes apart slapen. 2. **Gegeven gegevens

1. We are asked to find the percentage decrease in the asking price of a house. 2. The original asking price was 124500.

1. **State the problem:** Solve the equation $$\frac{2) - 3x - 7}{4} + x + \frac{17}{5} = 0.$$ 2. **Rewrite the equation clearly:** The expression seems to be $$\frac{2 - 3x - 7}{4

1. **Stel het probleem vast:** Je wilt weten hoeveel euro je betaalt voor 2 polo's als de eerste polo 39,95 kost en de tweede polo 50% korting heeft. 2. **Formule en regels:** De p

1. **State the problem:** Solve the equation $x - 1 = 0.4x - 2.5$ for $x$. 2. **Write down the equation:**

1. **State the problem:** Solve the equation $4,2x + 8 = 8 - 7x$ for $x$. 2. **Rewrite the equation:** Note that the comma in $4,2x$ likely represents a decimal point, so rewrite a

1. **Problemstellung:** Wir sollen eine gerade Funktion 6. Grades finden, die doppelte Nullstellen bei $x=1$ und $x=3$ hat und durch den Punkt $P(0|18)$ verläuft. 2. **Wichtige Reg

1. **State the problem:** We have two trains making the same trip. The passenger train takes 3 hours, and the freight train takes 7 hours. The freight train's speed is 40 miles per

1. **State the problem:** We need to find the price of a necklace and a bracelet given that together they cost 192 and the necklace costs 3 times as much as the bracelet. 2. **Defi

1. **State the problem:** We need to find three consecutive odd integers such that the sum of the first and second is 31 less than 3 times the third. 2. **Define variables:** Let t