🧮 algebra

1. **State the problem:** Simplify the expression $$(8g+4)+(6g+2)$$. 2. **Formula and rules:** When adding algebraic expressions, combine like terms. Like terms have the same varia

1. **State the problem:** Simplify the expression $(-7u - 8) + (5u + 3)$. 2. **Write the expression without parentheses:** $-7u - 8 + 5u + 3$.

1. **State the problem:** Simplify the expression $(3y - 4) + (5y - 5)$. 2. **Formula and rules:** When adding algebraic expressions, combine like terms. Like terms have the same v

1. **State the problem:** Simplify the expression $(4b - 1) + (4b + 9)$. 2. **Formula and rules:** When adding algebraic expressions, combine like terms. Like terms have the same v

1. **State the problem:** Simplify the expression $(-9m - 4) + (-7m - 2)$. 2. **Recall the rule:** When adding expressions, combine like terms (terms with the same variable and deg

1. **Problem 3:** Mrs. Costa runs $\frac{1}{4}$ mile in $\frac{1}{6}$ hour. Find her speed in miles per hour. 2. **Formula:** Speed = $\frac{\text{distance}}{\text{time}}$

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. Let's clarify the problem: You want to find the sum of visiting times, which you say totals 2990. 2. To help you better, I need to know the individual visiting times or the form

1. Let's start by understanding the problem you are working on. Please provide the exact problem statement or the expression you are solving so I can help identify where the differ

1. Dufate ikibazo: Kugira ngo dusobanukirwe neza, reka tuvuge ko dufite ikibazo cyo gukemura equation cyangwa gukora operation ya algebra. 2. Formula cyangwa amategeko: Mu algebra,

1. **State the problem:** Solve the equation $$32^{x-3} \times 8^{x+4} = 64 \div 2^x$$ for $x$. 2. **Rewrite bases as powers of 2:**

1. The problem is to place fractions on the number line. 2. To place fractions on the number line, we first convert them to decimal or compare their values by finding a common deno

1. **State the problem:** Order each set of fractions using the number line. 2. **Convert mixed numbers and fractions to decimals:** This helps to compare them easily.

1. **State the problem:** Solve the equation $$\frac{(125)^x}{(25)^{2x+2}}=1$$. 2. **Rewrite the bases as powers of a common base:**

1. Problem: We need to find the condition for $x = y$ given that $x \leq y$ and $y \leq x$. 2. Formula and rules: The inequalities $x \leq y$ and $y \leq x$ imply that $x$ is less

1. **State the problem:** We need to find the value of $x$ such that the ratios $9:x$ and $54:8$ are equivalent. 2. **Write the proportion:** Since the ratios are equivalent, we ha

1. **State the problem:** We are given a graph showing a linear relationship between Time (seconds) and Distance (inches) with points (0,0), (1,1.5), and (3,4.5). We need to determ

1. **State the problem:** We are given points on a graph representing distance traveled (in inches) over time (in seconds): (0,0), (1,1.5), and (3,4.5). We need to interpret each p

1. **State the problem:** Solve the equation $4f + 2 = 6f - 12$ for $f$. 2. **Write down the equation:**

1. **State the problem:** Solve the linear equation $4m + 5 = 35 - 2m$ for $m$. 2. **Write down the equation:**

1. **State the problem:** Solve the equation $7k + 17 = 30$ for $k$ and express the solution as a fraction. 2. **Write the equation:**