🧮 algebra

1. **Stating the problem:** We have the system of equations: $$3x - 2y = a$$

1. **Stating the problem:** Combine like terms in the expression $$(-2z - 3) + (4c + 6y) + (7 + 3c)$$. 2. **Formula and rules:** To combine like terms, add or subtract coefficients

1. Við erum beðin um að fullþátta fallið $f(x) = x^3 - 7x + 6$ með gefnum þætti $x - 2$. 2. Til að fullþátta $f(x)$ með þættinum $x - 2$ notum við stuðladeilingu (synthetic divisio

1. Problem: Solve the multi-step equations given. 2. Formula and rules: To solve linear equations, combine like terms, isolate the variable term, then divide both sides by the coef

1. **State the problem:** Find the sum of the expressions $\left(\frac{3}{7}m - 3 + 4n\right) + \left(\frac{2}{7}m - 2n + 6\right)$. 2. **Write the expression:**

1. **State the problem:** Rewrite the expression $$\frac{(9^{-3} \cdot 2^{-7})^2}{9^5}$$ using only positive exponents and combine powers with the same base. 2. **Recall exponent r

1. **State the problem:** Rewrite the expression $$\frac{9^{-3} \cdot 5^{-6}}{5^{-10} \cdot 9^4}$$ using only positive exponents and combine powers with the same base. 2. **Recall

1. The problem is to evaluate the expression $3.14 \times 10^9$. 2. This is a multiplication of a decimal number by a power of ten.

1. **State the problems:** Solve the equations: b) $y - 3 = 5$

1. **State the problem:** Solve the equation $3x=36$ for $x$. 2. **Formula and rule:** To isolate $x$, divide both sides of the equation by 3. The rule is that whatever you do to o

1. **Stating the problem:** We need to determine which of the given graphs represent a function. 2. **Recall the definition of a function:** A relation is a function if every input

1. **State the problem:** Solve the equation $-4x = 28$ for $x$. 2. **Formula and rules:** To solve for $x$, we need to isolate $x$ by dividing both sides of the equation by the co

1. **State the problem:** Multiply the numbers $ (1 \times 10^4) \times (7 \times 10^4) $. 2. **Recall the multiplication rule for powers of 10:** When multiplying powers of 10, ad

1. **Problem statement:** Ergänze die fehlenden Terme gemäß den binomischen Formeln für die Ausdrücke h) bis m). 2. **Formel:** Die zweite binomische Formel lautet:

1. **Evaluate the expression:** b) $-6(12 \div 3) + (-7)(-4)$

1. **State the problem:** We are given the equation of line $v$ as $ax - 6y + 1 = 0$, where $a \in \mathbb{R}$. We know line $t$ is parallel to line $v$. We need to find the value

1. **State the problem:** We are given the equation of line $t$: $$2x - 3y + 7 = 0$$

1. **State the problem:** We are given three equations: $$x = y + 40$$

1. Tehtävä: Selvitetään, monennesta sisäkkäisestä neliöstä alkaen neliöiden pinta-ala on alle 0,01 % alkuperäisen neliön pinta-alasta. 2. Oletetaan, että alkuperäisen neliön pinta-

1. **State the problem:** Solve for $m$ in the equation $$\frac{m}{2} + 9 = 12.$$\n\n2. **Isolate the term with $m$:** Subtract 9 from both sides to keep the equation balanced.\n$$

1. **State the problem:** Solve the equation $$\frac{m}{2} + 9 = 12$$ to isolate $m$. 2. **Subtract 9 from both sides:** To isolate the term with $m$, subtract 9 from both sides: