Fundamentals of Algebra Review

Front

What does the inequality x < -4 represent on a number line?

Back

It represents all numbers less than -4, with an open circle at -4 indicating that -4 is not included.

Front

Use the distributive property to simplify: 9(-5x + 8)

Back

-45x + 72

Front

What does the interval notation [-5, ∞) represent?

Back

It represents all numbers greater than or equal to -5.

Front

Evaluate when a = 15: 2(a - 5) + 2

Back

22

Front

Solve for x: 2x - 2 = 0

Back

x = 1

Front

What is the definition of the distributive property?

Back

The distributive property states that a(b + c) = ab + ac.

Front

What is the solution to the inequality x ≥ -4?

Back

It represents all numbers greater than or equal to -4.

Front

What is the result of evaluating 3(2x + 4) when x = 1?

Back

18

Front

What does the inequality x < 4 indicate about the value of x?

Back

x can be any number less than 4.

Front

What is the definition of interval notation?

Back

Interval notation is a way of writing subsets of the real number line using intervals.