🧮 algebra

1. **State the problem:** We are given the sequence 95, 80, 65, 50, ... and need to find the function $a(n)$ that represents this sequence. 2. **Identify the pattern:** The sequenc

1. The problem asks to graph the equation $$y=\frac{1}{3}x$$ and plot at least 3 points with their coordinates. 2. The formula is a linear function where the slope is $$\frac{1}{3}

1. **State the problem:** Simplify the expression $$\frac{3n^4}{2n^{-3}}$$. 2. **Recall the rules:**

1. **State the problem:** Simplify the expression $$\frac{k^4}{4k^3}$$. 2. **Recall the rule for dividing powers with the same base:** When dividing powers with the same base, subt

1. **State the problem:** Factor the quadratic trinomial $$x^2 - 4x - 12$$. 2. **Recall the factoring formula:** For a trinomial of the form $$x^2 + bx + c$$, we look for two numbe

1. **State the problem:** Solve the system of linear equations: $$\begin{cases} N_{N} + N_{D} = 50 \\ 5N_{N} + 10 N_{D} = 450 \end{cases}$$

1. **State the problem:** Simplify by adding like terms the expression: $$\frac{xy}{y^{-2}} - \frac{3x^{4}y^{4}}{x^{3}y} + \frac{7xy^{-2}}{xy^{-3}}$$

1. **State the problem:** Simplify the expression $$-( -3 - 2) + 4(-2) + \frac{1}{-2^{-3}} - (-2)^{-3}$$. 2. **Recall important rules:**

1. **State the problem:** Simplify the expression $$\frac{2^{-3} \cdot x^{0} \cdot x^{2}}{x^{-3} \cdot x \cdot y^{-3} \cdot y}$$. 2. **Recall the rules:**

1. **State the problem:** Find the measure of angle A if five times the complement of angle A is 150° greater than the supplement of angle A. 2. **Recall definitions:**

1. The problem is to simplify the expression $2^{-3} x^0 (x^2)$. 2. Recall the rules of exponents:

1. **State the problem:** We are given four relations from a domain set \{k, b, v, d, c\} to a range set \{-2, 3\} and need to determine which relations represent functions. 2. **R

1. The problem is to evaluate the step function $g(x)$ at specific points: $g(0)$, $g(0.0001)$, $g(2.999)$, and $g(3)$, and analyze the behavior of the function. 2. Step functions

1. The problem asks to find the values of $g(0)$, $g(0.0001)$, and $g(2.999)$ from the given piecewise graph of $y = g(x)$. 2. From the graph description:

1. **State the problem:** Solve the equation $2x^2 = \frac{16}{x}$ for $x$. 2. **Rewrite the equation:** Multiply both sides by $x$ to eliminate the denominator:

1. **State the problem:** We need to write a system of linear equations to model the ticket sales for a high school football game.

1. **State the problem:** We need to write a system of linear equations to model the ticket sales for a high school football game.

1. **Problem:** Determine who is correct in solving the equation $2x + 9 = 3$ between Dexter and Aisha. 2. **Equation:** $2x + 9 = 3$

1. **Problem:** Determine who is correct in solving the equation $2x + 9 = 3$ between Dexter and Aisha. 2. **Equation:** $2x + 9 = 3$

1. **State the problem:** Calculate the value of the expression $\left(-\frac{5}{6}\right) \times 12 + 3.5$. 2. **Apply multiplication first:** Multiply $-\frac{5}{6}$ by 12.

1. **State the problem:** We have two functions: