🧮 algebra

1. **State the problem:** Solve the equation $$\frac{x}{2} + \frac{x}{3} = 4$$ for $x$. 2. **Formula and rules:** To solve equations with fractions, find a common denominator to co

1. **State the problem:** Solve the equation $$\frac{x}{2} \times 6 + \frac{x}{3} \times 6 = 4 \times 6$$. 2. **Rewrite the equation:** Multiply inside the parentheses:

1. We start with the equation: $1.9t + 0.14 + 0.14 \sin\left(2\pi(t - 0.25)\right) = 5$

1. **Stel het probleem vast:** We moeten de vergelijking $$1,2t + 0,14 + 0,14 \sin\left(2\pi (t - 0,25)\right) = 5$$

1. **State the problem:** Simplify the expression $$\frac{2}{3}ax \left(-2ax^2\right) - \left(-\frac{1}{6}a^2\right) x^3 + \left(-\frac{1}{2}a^2 x\right) 3x + \frac{3}{4}a^2 x (2x)

1. The problem is to arrange numbers or expressions in order from least to greatest. 2. To do this, we compare each value to determine which is smaller or larger.

1. **State the problem:** Order the set of numbers from least to greatest: $-3, 6, 3, \frac{1}{2}, 3, 2, -3, \frac{3}{4}, -\frac{3}{2}$. 2. **List the numbers clearly:**

1. The problem asks to identify the function $g(x)$ given the graph of $f(x) = \sqrt{x}$ and the graph of $g(x)$ which looks like a shifted version of $f(x)$. 2. The function $f(x)

1. **State the problem:** Solve the system of equations: $$2x - 3y = -4$$

1. **State the problem:** Solve the system of equations: $$3x - 2y = -8$$

1. **State the problem:** We have the linear function $$y = 15x + 40$$ modeling the total cooking time $$y$$ in minutes as a function of the turkey's weight $$x$$ in pounds. 2. **I

1. The problem is to analyze the linear function given by the equation $y = 15x + 40$. 2. This is a linear function of the form $y = mx + b$, where $m$ is the slope and $b$ is the

1. **State the problem:** Simplify the expression $$\left( \frac{-2b^2}{a} \right)^4$$ and write the answer without parentheses. 2. **Recall the power of a quotient rule:** $$\left

1. Het probleem is om een algebraïsche uitdrukking of vergelijking op te lossen, maar er is geen specifieke vergelijking gegeven. 2. Zonder een specifieke vergelijking kan ik geen

1. **State the problem:** Interpret the linear function from the graph and table related to volunteers cleaning trails.

1. The problem statement is unclear, but it seems to involve understanding the position of numbers relative to a slash (fraction bar). 2. Typically, in a fraction $\frac{a}{b}$, th

1. **State the problems:** - Isolate $\beta_0$ in $\beta_0 = 2l + 2w$

1. Við skulum byrja á að skilgreina dæmi 3 sem þú vilt vinna með. Vinsamlegast gefðu mér nákvæma lýsingu á dæminu eða spurningunni svo ég geti hjálpað þér rétt. 2. Þegar þú gefur m

1. **Problem 3a:** The equation is $$y = 0.45x + 3.75$$.

1. Problem: Solve the equations by distributing first, then solving for the variable. (a) Solve $x = 3(5 - x) + 1$

1. **State the problem:** We need to find the value of $x$ given the equation $x \times x = 6000m$. 2. **Rewrite the equation:** The equation can be written as $x^2 = 6000m$.