🧮 algebra

1. The problem states: "The second number isn’t zero." This implies we are dealing with two numbers, and the second one is not zero. 2. To analyze or solve problems involving two n

1. The problem is to solve the inequality $-4h \geq 16$ for $h$. 2. The rule for inequalities states that when you divide or multiply both sides of an inequality by a negative numb

1. **State the problem:** Solve the equation $5p + 5 = 4 + 4p$ for $p$. 2. **Formula and rules:** To solve linear equations, we isolate the variable on one side by performing the s

1. **State the problem:** Solve the linear equation $4m + 3 = 13 - m$ for $m$. 2. **Write down the equation:**

1. **State the problem:** Evaluate the expression $\sqrt{144} - |3^2 - 4 \times 6|$. 2. **Recall the formulas and rules:**

1. **State the problem:** Solve the linear equation $4y - 7 = 5$ for $y$. 2. **Add 7 to both sides:**

1. **State the problem:** The LCS Student Council bought some number of pizzas for 900 total cost. They kept 10 pizzas and sold the rest for 1040. Each pizza has 8 slices. The prof

1. **State the problem:** Solve the equation $$\frac{50}{x} + 7 = 107$$ for $x$. 2. **Isolate the fraction:** Subtract 7 from both sides to get $$\frac{50}{x} = 107 - 7$$

**Problem:** Let's factor the expression $x^2$! 🎉 1. **Imagine you have a box with $x^2$ blocks!** 📦

1. **State the problem:** Simplify the expression $$\frac{\left(\frac{2}{7}\right)^{-2}}{\left(\frac{7}{2}\right)^2}$$. 2. **Recall the rules:**

1. Problem: Simplify each expression with positive exponents only and evaluate when possible. 2. a) Simplify $ (5^{-3} \times 5^{9})(5^{3}) $.

1. The problem is to simplify the expression involving the natural logarithm and a linear term: $-2x - \ln(5)$. 2. The expression is already simplified as a sum of two terms: a lin

1. **State the problem:** Solve the equation $$\frac{\ln(-2x)}{5} - 5x = 0$$ for $x$. 2. **Rewrite the equation:** Multiply both sides by 5 to clear the denominator:

1. **State the problem:** Solve the equation $$\frac{1}{2} - \frac{n + 1}{5} = -\frac{1}{2}$$. 2. **Rewrite the equation:** To eliminate fractions, find the least common denominato

1. **State the problem:** Solve the quadratic equation $x^2 + 5x = 0$. 2. **Formula and rules:** To solve quadratic equations, one common method is factoring. If the equation can b

1. The problem is to solve the equation $2x + 3 = 7$ for $x$. 2. We use the basic algebraic principle of isolating the variable $x$ by performing inverse operations.

1. The problem is to add two formulas together. 2. The general formula for addition of two expressions is:

1. **State the problem:** Solve the equation $$\left(2+x\right)^2 + \left(\frac{20}{x} + 10\right)^2 = \left(40 \sqrt{x^2 + 10^2} + \sqrt{4 + \left(\frac{20}{x}\right)^2}\right)^2.

1. The problem: You want to know the most important SAT math formulas. 2. Key formulas to remember for SAT math include:

1. **State the problem:** We need to find which payment option is cheaper for a group of 10 students at an art gallery. 2. **Define the variables and expressions:** Let $n$ be the

1. The problem states that a phone plan costs 25 plus 0.10 per text. We need to write an expression for the total cost if $t$ texts are sent. 2. The formula for total cost $C$ when