🧮 algebra

1. **State the problem:** Brenda burns 300 calories per hour playing soccer. We need to find how many calories she burns playing soccer for 80 minutes a day for 5 days. 2. **Conver

1. **State the problem:** Asha drove 220 miles using 16 \frac{1}{2} gallons of gasoline. We need to find how many miles per gallon (mpg) her vehicle gets. 2. **Formula:** Miles per

1. **State the problem:** We need to determine which of the 4 options matches the calculated miles per gallon (mpg) of Ashe's vehicle. 2. **Recall the calculated mpg:** From previo

1. **State the problem:** Ashe drove 250 miles using 5 \frac{1}{4} gallons of gasoline. We need to find how many miles per gallon (mpg) her vehicle gets. 2. **Formula:** Miles per

1. **State the problem:** Solve the equation $$2(y + 8) = 3(y - 6)$$ for $y$. 2. **Use the distributive property:** Multiply out the parentheses.

1. The problem asks to write the decimal 0.5 as a fraction or mixed number in simplest form. 2. Recall that decimals can be converted to fractions by considering the place value of

1. **State the problem:** Write the fraction $\frac{2}{3}$ as an equivalent fraction with denominator 30. 2. **Formula:** To find an equivalent fraction, multiply numerator and den

1. The problem asks to find the unknown number $n$ in the proportion $$\frac{0.09}{16} = \frac{n}{0.8}.$$ 2. The formula for solving proportions is to cross-multiply: $$a \times d

1. The problem states: "34% of what number is 96?" This means we want to find a number $n$ such that 34% of $n$ equals 96. 2. Recall that 34% can be written as the decimal $0.34$ o

1. The problem states: 34% of what number is 96? 2. To translate this into an equation, recall that "34% of a number" means $0.34 \times n$ where $n$ is the unknown number.

1. The problem states: "34% of what number is 96?" This means we want to find a number $n$ such that 34% of $n$ equals 96. 2. Recall that "34%" means $\frac{34}{100}$ or 0.34.

1. **State the problem:** Simplify the expression $$-8 - (-22)$$. 2. **Recall the rule:** Subtracting a negative number is the same as adding its positive counterpart. So, $$a - (-

1. The problem asks for the net income of Widgets, LTD in 2009 based on the bar graph. 2. From the graph, the bar for 2009 is below zero, indicating a negative net income.

1. **State the problem:** Perform the operation and simplify the expression: $$\frac{7}{21} - \frac{5}{21}$$

1. The problem asks to convert the percentage 22.8% into a decimal. 2. The formula to convert a percentage to a decimal is:

1. The problem asks to convert 22.8% into a decimal. 2. The formula to convert a percentage to a decimal is:

1. The problem asks us to compare the two fractions $\frac{7}{10}$ and $\frac{4}{5}$ and insert the correct inequality symbol ($<$ or $>$) between them to form a true statement. 2.

1. **State the problem:** Simplify the expression $$\left(\frac{3}{5}\right)^2 \div \left(\frac{3}{5} - \frac{1}{14}\right)$$ and find the correct simplified answer. 2. **Write the

1. **State the problem:** Subtract and simplify the expression $$17 \frac{1}{6} - \frac{18}{30}$$. 2. **Convert mixed number to improper fraction:**

1. **State the problem:** We need to find the purchase price of a car given the sales tax amount and the tax rate. 2. **Formula:** Sales tax = Purchase price \times Tax rate

1. **Problem Statement:** During a school fair, tickets for children and adults were sold. Let the number of children tickets be $x$ and adult tickets be $y$. The system of equatio