🧮 algebra

1. **State the problem:** Fran spent 3 times as long on her English homework as on her science homework. The total time spent on both is 60 minutes. We need to find the time spent

1. **State the problem:** Melanie has 75 pennies and nickels in total. The number of pennies is nine less than three times the number of nickels. We need to find how many pennies a

1. Stating the problem: Solve the equation $$17r - 13r = 20$$ for $$r$$. 2. Combine like terms on the left side:

1. **State the problem:** Jesse earns 6 dollars per hour babysitting. Last week, he received 71 dollars total, which includes his babysitting money plus a 20 dollar allowance from

1. **State the problem:** Lucario walked 15 miles more than Becks. Together, they walked 27 miles. We need to find how many miles each person walked. 2. **Define variables:** Let $

1. **State the problem:** We are given that three-sevenths of a number is 24, and we need to find the number. 2. **Set up the equation:** Let the number be $x$. Then, \frac{3}{7} \

1. **State the problem:** We need to determine which point among (0,10), (10,8), (0,8), and (2,8) is NOT a solution to the system of inequalities: $$y > \frac{5}{2}x + 6$$

1. **Stating the problem:** We have two hippos: a regular hippo with mass $25 \frac{1}{2}$ kg and a pygmy hippo. We want to understand which interpretation about their masses makes

1. The problem is to solve the inequality $7j \leq -49$ for $j$. 2. To isolate $j$, divide both sides of the inequality by 7. Since 7 is positive, the inequality direction remains

1. **State the problem:** Solve the system of equations by substitution: $$-6x - 2y = 26$$

1. **State the problem:** Solve the inequality $$9k > -72$$ and find the solution set. 2. **Formula and rules:** To solve inequalities like $$ak > b$$ where $$a$$ and $$b$$ are con

1. **State the problem:** We need to find how long it will take to fill an 800L tank with propane if the truck pumps 20L per minute. 2. **Formula used:** Time = \frac{Total Volume}

1. **State the problem:** We need to find the measure of an angle that is twice the measure of its complement. 2. **Recall the definition:** Two angles are complementary if their m

1. **Stating the problem:** We need to evaluate the expression where the plus sign between -9 and -3 is actually a division sign, so the expression is $$-9 \div -3$$.

1. **State the problem:** Evaluate the expression $$2[-20 + (-9) + (-3) - 2] + 5$$. 2. **Understand the expression:** This is a combination of addition and multiplication inside br

1. Stating the problem: Simplify the expression $$12 \cdot \left(\frac{2}{3}\right)^{-5} \cdot \left(\frac{2}{3}\right)^4$$. 2. Use the property of exponents: $$a^m \cdot a^n = a^{

1. **Stating the problem:** We need to find the original number when given a percentage of it. 2. **Formula used:** If $p\%$ of a number $N$ is given as $V$, then

1. The problem is to simplify each algebraic expression by combining like terms. 2. The rule for simplifying expressions is to combine terms that have the same variable and exponen

1. The problem asks us to determine which of the given options has the greatest value. 2. To solve this, we need to compare the values of each option.

1. The problem asks: What percentage of 110 is 55? 2. To find what percentage one number is of another, use the formula:

1. The problem asks us to determine which of the given options has the greatest value. 2. To solve this, we need to compare the values of each option.