Foundations of Algebra Unit 2 Review

Front

What is interval notation?

Back

Interval notation is a way of representing a range of numbers on a number line using brackets and parentheses. Brackets [ ] indicate that the endpoint is included, while parentheses ( ) indicate that the endpoint is not included.

Tags

CCSS.6.EE.B.8

Front

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

Back

The interval notation [-5, ∞) represents all real numbers greater than or equal to -5.

Tags

CCSS.6.EE.B.8

Front

How do you determine the number of solutions for the equation 5 + 2(n + 1) = 2n + 12?

Back

To determine the number of solutions, simplify the equation. If the variables cancel out and you get a true statement, there are infinitely many solutions. If you get a false statement, there is no solution. If you have a variable left, there is one solution.

Tags

CCSS.8.EE.C.7A

Front

What is the first step in solving the equation 2a - 4(a - 5) = 10?

Back

The first step is to distribute -4 to both a and -5, which simplifies the equation.

Tags

CCSS.8.EE.C.7B

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if, after simplification, you arrive at a contradiction, such as 0 = 5.

Tags

CCSS.8.EE.C.7A

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 each term inside a set of parentheses.

Tags

CCSS.6.EE.A.3

Front

How do you solve the equation -8(-8x - 6) = -6x - 22?

Back

First, distribute -8 to both terms inside the parentheses, then combine like terms and isolate x.

Tags

CCSS.8.EE.C.7B

Front

What is the solution to the equation -8(-8x - 6) = -6x - 22?

Back

The solution is x = -1.

Front

What is the correct first step to solve 5 + 2(n + 1) = 2n?

Back

The correct first step is to distribute the 2 to both n and 1, resulting in 5 + 2n + 2 = 2n.

Front

What does it mean if two equations are equivalent?

Back

Two equations are equivalent if they have the same solution set.

Tags

CCSS.8.EE.C.7A