🧮 algebra

1. The problem is to find the Greatest Common Factor (GCF) of 18 and 24. 2. The factors of 18 are correctly listed as $1, 2, 3, 6, 9, 18$.

1. **State the problem:** We are given the formula relating surface area $A$ and volume $V$ of a cube: $$A = 6V^{\frac{2}{3}}$$ and the surface area $A = 486$ square inches. We nee

1. The problem asks to express the fifth root of $n^4$ using rational exponents. 2. Recall the rule for radicals and exponents: $$\sqrt[b]{a^c} = a^{\frac{c}{b}}$$ where $b$ is the

1. **State the problem:** We are given two functions: $$h(x) = x^2 - 7$$

1. **State the problem:** We are given two functions: $$q(x) = x^2 + 9$$

1. **State the problem:** Solve the inequality $$\frac{1}{7}(42x + 28) < 28$$ to find the values of $x$ that satisfy it. 2. **Use the distributive property:** Multiply both sides b

1. **State the problem:** Solve the equation $$16(5 - 2x)^2 + 33 = 42$$ for $x$. 2. **Isolate the squared term:** Subtract 33 from both sides:

1. **State the problem:** Solve the equation $5(3x + 6)^2 + 9 = 44$ for $x$. 2. **Isolate the squared term:** Subtract 9 from both sides:

1. **State the problem:** Solve the equation $5(x - 4)^2 = 30$ for $x$. 2. **Isolate the squared term:** Divide both sides by 5 to simplify.

1. **State the problem:** Solve the quadratic equation $$5(x^2 - 7) - 1 = 9$$ for all values of $x$ in simplest form. 2. **Expand and simplify:** Distribute the 5 inside the parent

1. **State the problem:** Solve the quadratic equation $$4(x + 6)^2 - 50 = 26$$ for all values of $x$ in simplest form. 2. **Isolate the squared term:** Add 50 to both sides to mov

1. **State the problem:** Solve the quadratic equation $$4(x + 1)^2 - 7 = 45$$ for all values of $x$ in simplest form. 2. **Add 7 to both sides to isolate the squared term:**

1. **State the problem:** Solve the quadratic equation $$5(x - 7)^2 = 10$$ for all values of $x$ in simplest form. 2. **Isolate the squared term:** Divide both sides of the equatio

1. **State the problem:** We are given the function $f(x) = 3x^2 + x^3$ and asked to analyze its intercepts, symmetry, and graph behavior. 2. **Find x-intercepts where the graph to

1. **State the problem:** Solve the equation $Dx - 8 = 24$ for $x$. 2. **Rewrite the equation:**

1. The problem is to understand what the variables $a$ and $b$ represent in simple numbers. 2. In algebra, $a$ and $b$ are often used as constants or coefficients in equations, suc

1. The problem is to find some example questions about integers. 2. Integers are whole numbers that can be positive, negative, or zero. They do not include fractions or decimals.

1. Let's create a simple algebra problem for you to solve. 2. Problem: Solve for $x$ in the equation $$2x + 3 = 11$$.

1. The problem asks to identify the equation that best matches a given parabola graph. 2. The general form of a parabola with vertex $(h,k)$ is $$y = a(x - h)^2 + k$$ where $a$ det

1. The problem asks to find the slope of a line given the "rise" and "run" segments on a Cartesian plane. 2. The slope formula is:

1. The problem asks for two coordinates to represent a graph. 2. Coordinates are pairs of numbers in the form $(x,y)$ where $x$ is the horizontal position and $y$ is the vertical p