Semester Exam Review

Front

What is the formula to calculate percentage reduction?

Back

Percentage Reduction = ((Original Price - New Price) / Original Price) * 100

Front

If a recipe requires 3 cups of strawberries for every 1 1/2 cups of yogurt, how do you find the amount of yogurt needed for a different amount of strawberries?

Back

Use the ratio: (Yogurt / Strawberries) = (1.5 / 3). Cross-multiply to find the required yogurt.

Front

What is a ratio?

Back

A ratio is a relationship between two quantities, showing how many times one value contains or is contained within the other.

Front

How do you find the total number of students in a class given a ratio of boys to girls?

Back

Use the ratio to set up a proportion. If the ratio is 2:3 and there are 18 girls, then total students = (18 girls / 3) * (2 + 3) = 30.

Front

What does it mean for an equation to be modeled?

Back

Modeling an equation means representing a real-world situation with a mathematical expression or equation.

Front

What is the solution to an equation?

Back

The solution to an equation is the value of the variable that makes the equation true.

Front

What is a linear equation?

Back

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

Front

How do you determine the slope of a line from an equation?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by 'b' in the equation y = mx + b.

Front

How do you solve for x in a simple equation?

Back

Isolate x on one side of the equation by performing inverse operations.