Topic 5 Algebraic Reasoning Review

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Back

1

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter P of a rectangle is given by the formula P = 2(length + width).

Front

Simplify: (7a + 10b) – (4a – 6b)

Back

3a + 16b

Front

What does it mean for expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables involved.

Front

Which expression is NOT equivalent to the others? 2x - 2.5 + 3x - 3, 5(x - 1.1), 5(x - 5.5), 5x - 5.5

Back

5(x - 5.5)

Front

What is a variable in algebra?

Back

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

Front

Consider (11x + 9) - (?) = 6x + 8. What is the missing expression?

Back

5x + 1

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

Back

5x