SAT Math Prep

Front

What is the difference between a linear equation and a quadratic equation?

Back

A linear equation is an equation of the first degree, which means it has no exponents greater than one. A quadratic equation is an equation of the second degree, which means it includes a term with an exponent of two.

Front

What is the formula for the slope of a line?

Back

The slope (m) of a line is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Tags

CCSS.8.EE.B.5

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variable(s) involved.

Tags

CCSS.6.EE.A.4

Front

How do you simplify the expression 6abc + 9abc^2?

Back

You can factor out the common term: 3abc(2 + 3c).

Tags

CCSS.7.EE.A.1

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the roots of a quadratic equation and is given by x = (-b ± √(b² - 4ac)) / (2a).

Tags

CCSS.HSA-REI.B.4B

Front

What is the meaning of 'slope' in a graph?

Back

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

Tags

CCSS.8.EE.B.5

Front

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

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

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, indicating the value of y when x = 0.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. Solutions are the values that satisfy all equations simultaneously.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6