🧮 algebra

1. **State the problem:** We are given six fraction addition problems arranged in boxes, some with missing fractions to find. 2. **Recall the formula for adding fractions:**

1. **State the problem:** Solve the equation $1.5x + 8 = x + 8$ for $x$. 2. **Write down the equation:**

1. We gaan oefenen met de stelling van Pythagoras, die zegt dat in een rechthoekige driehoek de som van de kwadraten van de lengtes van de twee rechthoekszijden gelijk is aan het k

1. **State the problem:** Calculate the value of $4 \times (7 + 3^2)$.\n\n2. **Recall the order of operations:** We must first evaluate the exponent, then the addition inside the p

1. **State the problem:** Solve the equation $$|2x - 5| + |x + 1| = 11$$ for $x$. 2. **Understand absolute value:** The absolute value $|a|$ equals $a$ if $a \geq 0$, and $-a$ if $

1. **State the problem:** Calculate the value of the expression $5^2 + 10 \times 6 - 3 \times 2$. 2. **Recall the order of operations:** According to PEMDAS/BODMAS, we first calcul

1. **State the problem:** Kate had 165 and Cheryl had 93. After both spent the same amount of money, Kate had 4 times as much money left as Cheryl. We need to find how much Kate sp

1. We are given the proportion $150 : 33 = x : 126$ and need to find the value of $x$. 2. The formula for solving proportions is to cross-multiply: $$a : b = c : d \implies a \time

1. The problem asks to find a formula that shows the relationship between the number of teaspoons of chocolate powder $y$ and the amount of milk $x$ in deciliters. 2. From the grap

1. Problemet handlar om att hitta sambandet mellan mängden makaroner $y$ och antalet portioner $x$ utifrån ett linjärt samband som går genom origo. 2. Eftersom grafen är en rät lin

1. **State the problem:** We have line $l$ with equation $2x - 3y = 12$.

1. **State the problem:** We are given the system of equations:

1. We are asked to solve for $x$ in logarithmic equations and round answers to 2 decimal places. 2. Recall the definition of logarithm: $\log_a b = c$ means $a^c = b$.

1. Problem: Evaluate each expression in Q3(a). 2. Use order of operations (PEMDAS): Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to r

1. **Problemstellung:** Löse die Exponentialgleichungen aus Aufgabe 8. 2. **Wichtige Regeln:**

1. **Problem:** Vis at $68 \cdot 27 = 1836$ ved å dele hver faktor i tiere og enere. 2. **Del opp tallene:**

1. Problem: Addisjon og subtraksjon - forenkle hvert uttrykk. 2. Formel: Når vi legger sammen eller trekker fra like variabler, legger vi sammen eller trekker fra koeffisientene.

1. Problem: Vervollständigen Sie die Tabelle mit quadratischen Funktionen in Scheitelpunktform und allgemeiner Form sowie den Scheitelpunkten. 2. Formel: Die Scheitelpunktform eine

1. **State the problem:** Simplify the expression $$\frac{(2h - 3k)^2}{(10h - 15k)} \div hk$$. 2. **Rewrite the division as multiplication by the reciprocal:**

1. **State the problem:** Solve the equation $$\frac{1}{2}n = 4^{n+1}$$ for $n$. 2. **Rewrite the equation:** The equation is $$\frac{1}{2}n = 4^{n+1}$$.

1. **Problem statement:** Paul is currently 1.86 m tall and shrinks 1 mm (0.001 m) per year. Marrit is 1.75 m tall and grows 1 cm (0.01 m) per year. We want to find after how many