🧮 algebra

1. The problem asks to write the phrase "A number less 41" as a variable expression using $x$ to represent "a number." 2. The phrase "less" means subtraction, so "a number less 41"

1. **State the problem:** Add and simplify the fractions $\frac{1}{14} + \frac{2}{14} + \frac{8}{14}$. 2. **Formula and rules:** When adding fractions with the same denominator, ad

1. **State the problem:** We need to find the average score of the golf team members: Alice (-11), Ben (-3), Chris (2), Dan (4), Emeril (5), and Fran (9). 2. **Formula for average:

1. **State the problem:** We need to write the rate of residents per county as a unit rate. 2. **Given:** There are 193,116 residents living in 22 counties.

1. **State the problem:** We need to find the number of which 8351 is 126%. 2. **Formula:** If $a$ is $p\%$ of $x$, then $a = \frac{p}{100} \times x$.

1. **State the problem:** Solve the equation $$y + \frac{5}{6} = \frac{1}{6}$$ for $y$. 2. **Formula and rules:** To isolate $y$, subtract $\frac{5}{6}$ from both sides of the equa

1. **State the problem:** Find the least common multiple (LCM) of the numbers 30 and 90. 2. **Recall the formula:** The LCM of two numbers $a$ and $b$ can be found using the formul

1. **State the problem:** Subtract the fractions $\frac{8}{25} - \frac{5}{25}$ and simplify the result. 2. **Formula and rules:** When subtracting fractions with the same denominat

1. **State the problem:** Crystal skied 18 times and spent a total of 558. We need to find the cost per skiing trip. 2. **Formula used:** To find the cost per trip, use the formula

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 - (-