Review of Algebra (#3)

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve the equation 2x - 3 + 4x = 27?

Back

Combine like terms to get 6x - 3 = 27, then add 3 to both sides to get 6x = 30. Finally, divide by 6 to find x = 5.

Front

What is the solution for a in the equation -5 - 6a = -59?

Back

To solve for a, add 5 to both sides to get -6a = -54, then divide by -6 to find a = 9.

Front

How do you solve the equation x / 2 - 5 = 3?

Back

Add 5 to both sides to get x / 2 = 8, then multiply both sides by 2 to find x = 16.

Front

What is the first step to solve the equation 5x - 14 = 8x + 4?

Back

Rearrange the equation by moving all terms involving x to one side and constant terms to the other side.

Front

What does it mean if two ratios form a proportion?

Back

It means that the cross products of the ratios are equal.

Front

What is the solution for x in the equation 5x - 14 = 8x + 4?

Back

The solution is x = -6.

Front

What is the definition of a variable in algebra?

Back

A variable is a symbol, often a letter, that represents one or more numbers.

Front

What is the process of combining like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

What is the distributive property?

Back

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