Identifying Linear and Sequence Forms

Front

What is the definition of exponents?

Back

Exponents are a mathematical notation indicating the number of times a number (the base) is multiplied by itself.

Front

What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, 7 + 3 = 3 + 7.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you solve the absolute value equation |6x + 2| = 45?

Back

To solve |6x + 2| = 45, set up two equations: 6x + 2 = 45 and 6x + 2 = -45. Solving these gives x = 43/6 and x = -47/6.

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 and b are not both zero.

Front

What is the Slope-Intercept Form of a linear equation?

Back

The Slope-Intercept Form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the Point-Slope Form of a linear equation?

Back

The Point-Slope Form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

What is Direct Variation?

Back

Direct Variation is a relationship between two variables where one variable is a constant multiple of the other, expressed as y = kx, where k is a non-zero constant.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, meaning they intersect at a right angle.