🧮 algebra

1. **State the problem:** We are given the function $f(x) = 5x + 9x^4 - 3$ and need to understand or analyze it. 2. **Identify the function type:** This is a polynomial function of

1. The problem is to understand where the value $FC=14$ comes from. 2. Typically, $FC$ could represent a fixed cost, force constant, or another variable depending on the context.

1. **State the problem:** Jimmy wants to buy a bike costing $174. We need to find how much more money he needs after counting all the cash he currently has (excluding his savings a

1. **Stating the problem:** Jimmy wants to buy tennis shoes costing $93.48 using his leaf raking money and birthday money combined. We need to find out how much money he has left a

1. **State the problem:** Solve the equation $$\sqrt{2y+1} = y - 1$$ for $y$. 2. **Understand the domain:** Since the left side is a square root, the expression inside must be non-

1. **Solve the quadratic equation** $x^2 - 7x + 10 = 0$. Use the quadratic formula: $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ where $a=1$, $b=-7$, $c=10$.

1. **Stating the problem:** We are given a system of inequalities:

1. **Understanding the Problem** We are given a system of inequalities:

1. **State the problem:** Elvin starts with 90 comic books. He donates one third of them to a library, then buys 4 comic books at each of 6 bookstores. We want to find an expressio

1. **Understanding the Problem** We are given a system of inequalities:

1. **Understanding the Problem:** We are given a system of inequalities:

1. **State the problem:** Iris walked from school to park in 6 minutes, then from park to mall 621 m at 69 m/min. Total distance is 1117.5 m. Find average speed for whole distance.

1. **State the problem:** Evaluate the expression $$9m^2 - \frac{3n^3}{p} + 8$$ for $$m=5$$, $$n=3$$, and $$p=9$$. 2. **Recall the formula and order of operations:** The expression

1. **State the problem:** Luke's mass was 80 kg last year, and he lost 10 kg this year. We need to find the percentage decrease in Luke's weight. 2. **Formula for percentage decrea

1. **State the problem:** Nicole bought $17b$ cupcakes and gave $5$ cupcakes to each friend. After giving cupcakes, she had $7b$ cupcakes left. We need to find how many friends she

1. **Problem 7:** Stan and Cory have savings totaling 150. Cory has 24 more than twice Stan's amount. Define variables: - Let $x$ = Stan's savings

1. **Problem Statement:** Evaluate the expressions involving absolute values: (a) $|3| - 7$

1. **Stating the problem:** We have four functions and need to answer questions about their slopes and y-intercepts. 2. **Given information:**

1. **Problem statement:** Evaluate the absolute value expressions. 2. **Recall the definition:** The absolute value of a number $x$, denoted $|x|$, is the distance of $x$ from zero

1. **State the problem:** We need to evaluate two expressions involving absolute values: (a) $| -9 | + 7$

1. **Problem Statement:** Verify if each of the four expressions in Box 1 equals 1 by computing the expression $4 \times 4 - 5 \times 3$. 2. **Next Expression:** Find the next numb