🧮 algebra

1. The problem is to convert the fraction $\frac{9}{10}$ into different equivalent forms and understand its decimal and percentage representations. 2. The fraction $\frac{9}{10}$ m

1. **State the problem:** Simplify the fraction $\frac{667}{28}$ if possible. 2. **Check for common factors:** To simplify a fraction, find the greatest common divisor (GCD) of the

1. **State the problem:** Multiply the mixed numbers $5 \frac{3}{4}$ and $4 \frac{1}{7}$. 2. **Convert mixed numbers to improper fractions:**

1. **State the problem:** Solve for $x$ in the equation $$\left(\frac{4 \frac{1}{5}}{x} + \frac{1}{3}\right) \div 2 \frac{4}{35} - \frac{4}{5} = 1 \frac{8}{15}.$$ 2. **Convert mixe

1. **State the problem:** Simplify the expression $$0.5 - [7 - 2 - (1 - 9) - 3 + 12] + 4.$$\n\n2. **Recall the order of operations:** Parentheses first, then brackets, then additio

1. The problem asks to explain why there are two possible values for $a$ in the equation $x^2 + y^2 = 100$ and to find these values. 2. The equation $x^2 + y^2 = 100$ represents a

1. **State the problem:** Simplify the expression $$1 + \left\{ \frac{15}{4} - \left[ \frac{6}{8} \div \left( \frac{1}{2} + \frac{3}{4} \right) \right] \right\}$$. 2. **Recall the

1. The problem asks us to classify each expression as either a percentage increase of 15% or a percentage decrease of 15% for an item costing $p$ dollars. 2. A percentage increase

1. **State the problem:** Marc's family plans to drive a total distance of 150 miles at an average speed of 30 miles per hour.

1. **State the problem:** Simplify the expression $$\frac{2}{3} + \frac{5}{3} \times \left( \frac{3}{2} - \frac{1}{2} \right)$$. 2. **Recall the order of operations:** Perform oper

1. **State the problem:** Simplify the expression $$\frac{5}{9} \times \frac{6}{4} - \frac{4}{9} \div \frac{10}{3}$$. 2. **Recall the rules:**

1. The problem is to solve the equation $51 = s - 23$ for $s$. 2. To isolate $s$, we add 23 to both sides of the equation to cancel out the $-23$ on the right side.

1. **State the problem:** Calculate the value of the expression $1 \div \frac{3}{2} + \frac{4}{9} \times \frac{3}{6}$. 2. **Recall the order of operations:** Division and multiplic

1. The problem involves points A, B, C, and D on a number line with coordinates 3 cm, 7 cm, 8 cm, and 14 cm respectively. 2. We can find the distances between these points by subtr

1. **State the problem:** Simplify the expressions: - $\left(\frac{E}{F} + \frac{8}{9}\right) \frac{E}{M}$

1. The problem is to understand the daily rental fees for different car types and insurance. 2. The table lists three items with their prices per day:

1. **State the problem:** Four friends attend a school play and each pays 6 per ticket. Each also buys a Healthy Snack Bag costing $b$ each. The total amount spent is 34. We need t

1. **State the problem:** Solve the equation $$-4(1.75 + x) = 18$$ for $$x$$. 2. **Apply the distributive property:** Multiply $$-4$$ by each term inside the parentheses.

1. **State the problem:** Tayla bought a box of comic books for 300 and gave 15 away. She sold the rest for 330, making a profit of 1.50 on each sold comic book. We need to find th

1. **State the problem:** Clara has 9 pounds of apples. She sets aside 1.5 pounds for applesauce. She needs 1 \frac{1}{4} pounds of apples to make one pie. We want to find how many

1. **State the problem:** We want to find which equations are equivalent to $$\frac{1}{2}(4 + 8x) = 17$$. 2. **Start with the given equation:**