Algebra 1 Unit 2 Review

Front

What is the associative property of addition?

Back

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

Front

How do you solve the inequality |2x + 12| < 8?

Back

To solve |2x + 12| < 8, you split it into two inequalities: 2x + 12 < 8 and 2x + 12 > -8.

Front

What is the first step in solving the inequality |x - 6| < 4?

Back

The first step is to split it into two inequalities: x - 6 < 4 and x - 6 > -4.

Front

What does a closed dot on a number line represent when graphing inequalities?

Back

A closed dot represents that the number is included in the solution set, used with ≤ or ≥.

Front

What is the difference between 'and' and 'or' in compound inequalities?

Back

In 'and' inequalities, both conditions must be true simultaneously, while in 'or' inequalities, at least one condition must be true.

Front

How do you simplify the expression 14 - 8 + 4 ⋅ 2^3?

Back

First, calculate 2^3 = 8, then multiply: 4 ⋅ 8 = 32. Finally, simplify: 14 - 8 + 32 = 38.

Front

What is the solution set for the inequality 2x + 12 < 8?

Back

To solve 2x + 12 < 8, subtract 12 from both sides to get 2x < -4, then divide by 2 to find x < -2.

Front

What is the solution set for the inequality 2x + 12 > -8?

Back

To solve 2x + 12 > -8, subtract 12 from both sides to get 2x > -20, then divide by 2 to find x > -10.

Front

What is the order of operations used in simplifying expressions?

Back

The order of operations is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.

Front

What does the expression |x - 6| < 4 represent graphically?

Back

Graphically, |x - 6| < 4 represents the interval (2, 10) on a number line, where x is between 2 and 10.