2024 Keystone Algebra I Module I Sampler

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, a + b = b + a.

Front

What is a factor in algebra?

Back

A factor is a number or expression that divides another number or expression evenly, without leaving a remainder. For example, in the expression x^2 - 2x - 24, (x - 6) is a factor.

Front

What does the absolute value inequality |x - a| ≤ b represent?

Back

It represents all values of x that are within b units of a on the number line.

Front

What is the additive property of equality?

Back

The additive property of equality states that if you add the same number to both sides of an equation, the two sides remain equal. For example, if a = b, then a + c = b + c.

Front

What is a linear inequality?

Back

A linear inequality is an inequality that can be written in the form ax + b < c, ax + b > c, ax + b ≤ c, or ax + b ≥ c, where a, b, and c are constants.

Front

What is the associative property of addition?

Back

The associative property of addition states that the way in which numbers are grouped when adding does not change the sum. For example, (a + b) + c = a + (b + c).

Front

How do you factor the expression x^2 - 2x - 24?

Back

To factor x^2 - 2x - 24, find two numbers that multiply to -24 and add to -2. The factors are (x - 6)(x + 4).

Front

What does the point (x, y) represent in a linear inequality graph?

Back

The point (x, y) represents a specific solution to the inequality, indicating the relationship between the two variables.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than, less than, or not equal to another.

Front

What is the meaning of the expression (x - 7)/(x + 7)?

Back

This expression represents a rational function that can be simplified or analyzed for its behavior, particularly for values of x that do not make the denominator zero.