🧮 algebra

1. **Problem 24:** Solve the inequality $3[1 + (-2)] + e \leq \frac{2e}{3}$. 2. First, simplify inside the brackets:

1. Solve the inequality \(-3a - 1 \frac{1}{2} < -5 \frac{1}{4}\). 2. Solve the inequality \(\frac{m}{8} - 2 \frac{1}{2} > -4\).

1. **State the problem:** Find the slope and y-intercept of the line given by the equation $y = 3x - 1$. 2. **Recall the slope-intercept form:** The equation of a line in slope-int

1. The question asks: "Where did the bottom h go?" This usually refers to a step in algebra or calculus where a term involving $h$ in the denominator disappears. 2. Typically, this

1. **State the problem:** Simplify the expression $$\frac{\frac{1}{5+h}-\frac{1}{5}}{h}$$ and find its simplified form. 2. **Recall the formula and rules:** When subtracting fracti

1. **State the problem:** We need to rewrite the given exponential function into the form $$y = ac^x + k$$ where $a$ is the initial value multiplier, $c$ is the base of the exponen

1. **Problem Statement:** Neville wants to calculate the total charcoal needed for the grills at the barbeque cook-off. 2. **Inputs Given:**

1. **State the problem:** Factor out the greatest common factor (GCF) from the polynomial $$26y^5 + 39y^3$$. 2. **Identify the GCF:**

1. **State the problem:** Divide the polynomial $k^2 - 45$ by $k - 7$ and express the result including any remainder as a simplified fraction. 2. **Recall the division formula:** F

1. The problem is to solve the equation or expression given by the user, but since no specific equation or expression was provided, I cannot solve it. 2. Please provide a clear alg

1. **State the problem:** Solve the equation $6x + 9 = 2x - 5$ for $x$. 2. **Write down the equation:**

1. **State the problem:** We are given the function $$f(x) = \frac{1}{2} \cdot 4^x + 3$$ and asked to find the value of its inverse function $$f^{-1}$$ at $$x = 5$$. 2. **Recall th

1. **State the problem:** Simplify the expression $2 \log m - \log n - 4 \log p$ into a single logarithm. 2. **Recall logarithm properties:**

1. The problem presents three separate expressions: - $5w + 2y - v - x$

1. **State the problem:** Solve the equation $2v^2 = 18$ given $v = 3$. 2. **Recall the formula:** The equation is $2v^2 = 18$.

1. **State the problem:** We are given three tables of $x$ and $y$ values and asked which tables represent functions and how to tell. 2. **Recall the definition of a function:** A

1. **State the problem:** We need to add the numbers $3.8 \times 10^{22}$ and $3.8 \times 10^{23}$ and express the result in standard form. 2. **Recall the rule for adding numbers

1. Add and Simplify the polynomials: $ (3h^2 - 6h) + (5h + 9h^2 - 7) $ 2. Combine like terms by grouping powers of $h$:

1. The problem is to divide the fractions $\frac{2}{5}$ by $\frac{3}{4}$.\n\n2. The formula for dividing fractions is: \n$$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d

1. Problem: Calculate $\frac{1}{9} + \frac{4}{9}$. 2. Since the denominators are the same, add the numerators:

1. The problem asks us to evaluate the quadratic function $f(x) = -4x^2 - 11$ at $x = -6$. 2. The formula for evaluating a function at a given value is to substitute the value into