SAT Test review

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does it mean for y to vary inversely as the square of x?

Back

It means that y = k/x^2 for some constant k. As x increases, y decreases by the square of x.

Front

If a recipe requires 3 eggs for 6 servings, how many servings can be made with 5 eggs if all ingredients are increased proportionally?

Back

10 servings. The ratio of eggs to servings is maintained.

Front

What is the equation of a line with an x-intercept of 5 and a y-intercept of 6?

Back

The equation is y - 6 = (-6/5)(x - 5).

Front

How do you simplify the expression 4x^2 - 3xy(2x)?

Back

The simplified expression is 2x^2(2 - 3y).

Front

What is the definition of a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no variables raised to a power greater than one.

Front

What is the relationship between the x-intercept and y-intercept of a line?

Back

The x-intercept is where the line crosses the x-axis (y=0), and the y-intercept is where it crosses the y-axis (x=0).

Front

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

Back

The slope indicates the steepness of the line and the direction of the relationship between x and y.

Front

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

Back

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

Front

What does it mean for a function to be inversely proportional?

Back

If y is inversely proportional to x, then y = k/x for some constant k; as x increases, y decreases.