🧮 algebra

1. **State the problem:** We need to find the sum of the polynomials $$6x + 7 + x^2$$ and $$2x^2 - 3$$. 2. **Write the expression for the sum:**

1. The problem asks which expression correctly represents the sum of the polynomials $9 - 3x^2$ and $-8x^2 + 4x + 5$. 2. To add polynomials, combine like terms: terms with the same

1. The problem asks which values can be added to the set \{(-4,6), (5,-1), (2,0)\} so that it remains a function. 2. A function cannot have two different outputs for the same input

1. **Problem:** Six times a number increased by 7, then multiplied by 4, equals 10 more than 30 times the opposite of the number. Find the number. 2. **Problem:** Find the overall

1. **State the problem:** Simplify the expression $$-3(-162)^{\frac{1}{3}}$$ and match it to one of the given choices. 2. **Recall the cube root property:** For any real number $a$

1. **State the problem:** Simplify the expression $$24^{\frac{1}{3}}$$, which means finding the cube root of 24. 2. **Recall the formula:** For any positive number $a$ and rational

1. The problem asks for the percent of change from 5 to 1. 2. The formula for percent change is:

1. The problem asks for the percent of change from 60 to 84. 2. The formula for percent change is:

1. **Problem:** Six times a number is increased by 7. Then this sum is multiplied by 4, and the result is 10 larger than 30 times the opposite of the number. Find the number. 2. **

1. **Stating the problem:** We need to understand what a function is and then add values to two tables: Table A so it represents a function, and Table B so it does not. 2. **Defini

1. **State the problem:** We need to solve percent problems using equations involving the numbers 4%, 18, 240, and 42. 2. **Formula used:** The general formula for percent problems

1. **State the problem:** Adam borrowed 5600 dollars from the bank, which charges 4.2% simple interest per year. We want to find the equation that represents the total amount of mo

1. **Skill #1: Function Tables** **Function #1: $f(x) = 12 - 3x$**

1. **State the problem:** Simplify the expression $$\frac{w^3}{w^{-3}}$$. 2. **Recall the rule for division of exponents with the same base:** When dividing powers with the same ba

1. **Problem Statement:** Shade the region defined by the inequalities:

1. The problem is to simplify or analyze the expression $x^9 + y^2 + 2y$. 2. We start by examining the terms: $x^9$ is a power of $x$, $y^2$ is a square of $y$, and $2y$ is a linea

1. **State the problem:** Simplify the expression $$\left(\frac{x^{5}y^{-3}z}{xyz}\right)^{-1}$$. 2. **Recall the rules:**

1. **State the problem:** We need to find which point on the number line best represents $\sqrt{60}$. The number line ranges from 6 to 8 with points A, B, C, D, E, and F placed bet

1. **State the problem:** We need to order the numbers 12 5/8, 12.62, \(\sqrt{146}\), 12.39, and 12 3/4 from least to greatest. 2. **Convert mixed numbers to decimals:**

1. The problem asks us to find which point on the number line best represents the value $\sqrt{5}$.\n\n2. Recall that $\sqrt{5}$ is the positive number which, when squared, equals

1. **State the problem:** We need to find which three numbers lie between $\frac{\pi}{2}$ and $\sqrt{48}$ on the number line. 2. **Calculate the approximate values:**