Topic 5 Equivalent Expressions

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression for all values of the variable(s) involved.

Front

How do you simplify the expression 7(3a + 4b)?

Back

You distribute 7 to both terms inside the parentheses: 7 * 3a + 7 * 4b = 21a + 28b.

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 equivalent expression for 36x + 24?

Back

The equivalent expression is 2(18x + 12).

Front

How do you represent 'twice the quantity of 11 less than k'?

Back

You represent it as 2(k - 11).

Front

What is the sum of the expressions 6y + 22y + y?

Back

The sum is 29y.

Front

How do you simplify the expression 3x + 5 + 7x + 2?

Back

Combine like terms: (3x + 7x) + (5 + 2) = 10x + 7.

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors.

Front

What is the distributive property?

Back

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

Front

How can you check if two expressions are equivalent?

Back

You can check by substituting the same value for the variable in both expressions and seeing if they yield the same result.