24-25 Final Review #11

Front

What is the formula to calculate the time taken to fill a gas tank?

Back

Time = (Total Capacity - Current Amount) / Fill Rate

Front

What does the absolute value equation |x - a| = b represent?

Back

It represents two equations: x - a = b and x - a = -b.

Front

How do you evaluate the expression (a + b)·c + d ÷ e?

Back

Follow the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine the x-intercept of a linear equation?

Back

Set y = 0 in the equation and solve for x.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness and direction of the line; a positive slope means the line rises, while a negative slope means it falls.

Front

What does the equation x = a represent graphically?

Back

It represents a vertical line at x = a.

Front

What is the process to solve an absolute value equation?

Back

Isolate the absolute value expression and set up two separate equations to solve.

Front

How do you simplify the expression 3 + 4·3 + (30 ÷ 3)?

Back

Calculate 30 ÷ 3 = 10, then 3 + 4·3 + 10 = 3 + 12 + 10 = 25.

Front

What is the relationship between the coefficients in the equation y = mx + b?

Back

The coefficient m represents the slope, and b represents the y-intercept of the line.