FALL 2024 Semester Review

Front

What is the solution to the equation: 2x + 3 = 7?

Back

x = 2

Front

Define 'rate of change' in a mathematical context.

Back

Rate of change refers to how a quantity changes in relation to another quantity, often expressed as a ratio or slope.

Front

What is the inequality representation of 'x is greater than 5'?

Back

x > 5

Front

Solve the inequality: -3(2x-6) > -5 - (x - 8)

Back

x < 1

Front

What does the slope of a line represent in a graph?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

What is the equation of a line with a slope of 1/2 that passes through the origin?

Back

y = (1/2)x

Front

Define 'linear equation'.

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What is the solution to the equation: 3m - 9 = 0?

Back

m = 3

Front

What does it mean for a function to be 'increasing'?

Back

A function is increasing if, as the input (x) increases, the output (y) also increases.