Algebra I Review

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum or difference.

Front

Write an equation to represent the total cost, T, for one player renting golf clubs and playing rounds of golf.

Back

T = 15 + 25r, where T is the total cost, 15 is the rental cost, and 25 is the cost per round.

Front

Solve the inequality: 4(2a + 3) < 3(a - 1). What is the solution for a?

Back

a < -3.

Front

What is the slope of the line represented by the equation y = -x + 2?

Back

The slope is -1.

Front

How do you find the slope from a table of values?

Back

The slope (m) is calculated as the change in y divided by the change in x (m = Δy/Δx).

Front

What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that a + b = b + a. The order of addition does not change the sum.

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that (a + b) + c = a + (b + c). The grouping of numbers does not change the sum.

Front

What is the Identity Property of Addition?

Back

The Identity Property of Addition states that a + 0 = a. Adding zero to a number does not change its value.

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be represented by a straight line on a graph, typically in the form y = mx + b.

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.