Test 2 Review

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: \( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \).

Front

How do you solve the equation \( \frac{4}{x+2} = \frac{-5}{3x-1} \)?

Back

Cross-multiply to solve for x: \( 4(3x-1) = -5(x+2) \).

Front

What is the mean of a set of numbers?

Back

The mean is calculated by adding all the numbers together and dividing by the count of numbers. For example, for scores 85, 78, 92, 87, 80: \( \text{Mean} = \frac{85 + 78 + 92 + 87 + 80}{5} = 84.4 \).

Front

What is the least common denominator (LCD) of \( \frac{5}{6} + \frac{7}{y} \)?

Back

The LCD is the smallest multiple of the denominators. For \( 6 \) and \( y \), the LCD is \( 6y \).

Front

How do you convert a decimal to a percentage?

Back

To convert a decimal to a percentage, multiply by 100 and add a percent sign. For example, \( 0.25 \times 100 = 25\% \).

Front

What is the formula for calculating the area of a rectangle?

Back

The area of a rectangle is given by the formula: \( \text{Area} = \text{length} \times \text{width} \).

Front

What is the process for finding the median of a set of numbers?

Back

To find the median, arrange the numbers in ascending order and identify the middle number. If there are two middle numbers, average them.

Front

What is the definition of a variable in mathematics?

Back

A variable is a symbol used to represent an unknown value, often denoted by letters such as x, y, or z.

Front

How do you find the greatest common factor (GCF) of two numbers?

Back

The GCF is the largest number that divides both numbers without leaving a remainder. For example, the GCF of 12 and 16 is 4.

Front

What is the formula for the slope of a line?

Back

The slope (m) of a line is calculated as: \( m = \frac{y_2 - y_1}{x_2 - x_1} \) where (x1, y1) and (x2, y2) are two points on the line.