🧮 algebra

1. The problem is to find the sum of $-5$ and $-61$. 2. We use the rule for adding integers: when adding two negative numbers, add their absolute values and keep the negative sign.

1. The problem is to find the sum of $-3$ and $-9$. 2. The formula for adding two numbers is simply $a + b$.

1. Diberikan pertidaksamaan: $$-3x - 5 \leq 7 + x$$ 2. Tujuan kita adalah mencari nilai $x$ yang memenuhi pertidaksamaan tersebut.

1. The problem is to solve the equation $2x + 3 = 7$ for $x$. 2. We use the basic algebraic principle of isolating the variable $x$ by performing inverse operations.

1. **Problem statement:** Majed has two magic stones. When rubbed once, each stone produces one new stone, effectively doubling the number of stones. We need to find how many times

1. **State the problem:** We have a radioactive element with an initial amount of 800 grams. The amount remaining after $t$ years is given by the formula: $$A = 800 \left(\frac{1}{

1. **Stating the problem:** Majed starts with 2 magic stones. Each time the stones are rubbed once, each stone produces one new stone, effectively doubling the total number of ston

1. **State the problem:** We have a bacteria colony starting with 1,000 bacteria. The number of bacteria after $t$ hours is given by the formula: $$A = 1000 \times 35.6^{\frac{t}{1

1. **State the problem:** Find the intercepts, asymptotes, turning points, and intervals of increase/decrease for the rational function $$f(x) = \frac{5x+3}{2x-1}$$. 2. **Find the

1. **State the problem:** Find the equation of the line in slope-intercept form $y=mx+b$ that passes through the point $(5,4)$ and is perpendicular to the line given by $2x - 10y =

1. The problem is to find an equivalent fraction to $\frac{3}{9}$ with a denominator of 27. 2. Recall that equivalent fractions have the same value but different numerators and den

1. **State the problem:** Evaluate the expression $$(2 \cdot 3)^2 - 5^2$$ without rounding. 2. **Recall the order of operations:** First, perform multiplication inside the parenthe

1. The problem states that 1 batch of cookies requires 3 eggs. 2. We want to find the total number of eggs $n$ needed for $b$ batches.

1. The problem is to graph the equation given by the user. 2. Since the user did not specify an equation, I cannot graph a specific function.

1. The problem is to graph the equation given by the user. 2. Since the user did not specify an equation, I cannot graph a specific function.

1. The problem is to graph the equation given by the user. 2. Since the user did not specify an equation, I will assume a general example: $y = x^2$.

1. **State the problem:** Simplify the expression $$(4s-4)(-s^2 + 3s + 1)$$. 2. **Recall the distributive property:** To multiply two polynomials, multiply each term in the first p

1. **State the problem:** We need to divide the polynomial $-3x^2 + 68$ by the binomial $x - 5$. 2. **Formula and method:** Polynomial division can be done using long division or s

1. **State the problem:** Simplify the expression $$-6(4q^2 - 4q - 3)$$. 2. **Formula and rules:** Use the distributive property: $$a(b + c + d) = ab + ac + ad$$.

1. **State the problem:** Divide the polynomial $4q^3 - 23q^2 - 16q + 67$ by $q - 6$ and express the result including any remainder as a fraction. 2. **Recall the division formula:

1. The problem is to understand the correct form of the linear equation, which is $y = mx + b$, not $y = mx + 6$. 2. The formula $y = mx + b$ represents a straight line where: