Equivalent Expressions

What is the distributive property?

• The distributive property states that a(b + c) = ab + ac, meaning you can distribute a number across a sum.

• The distributive property states that a + (b + c) = (a + b) + c, meaning you can group numbers in any way.

• The distributive property states that a(b - c) = ab - ac, meaning you can distribute a number across a difference.

• The distributive property states that a(b + c) = a + b + c, meaning you can add numbers directly.

Use the distributive property to find the equivalent expression for 20b + 16c.

• 4(5b + 4c)

• 5(4b + 3c)

• 2(10b + 8c)

• 10(2b + 1.6c)

How do you combine like terms?

• You multiply the coefficients of like terms.

• You add or subtract the coefficients of like terms while keeping the variable part the same.

• You divide the coefficients of like terms.

• You ignore the coefficients and only focus on the variables.

What does it mean to simplify an expression?

• To combine like terms and reduce it to its simplest form.

• To make the expression longer and more complex.

• To change the expression into a different variable.

• To eliminate all variables from the expression.

What is the equivalent expression for 7s + 8t + 10s + 12t?

• 15s + 18t

• 17s + 20t

• 19s + 22t

• 16s + 21t

What is the equivalent expression for 5(a + b)?

• 5a + 5b

• a + b

• 5a + b

• 5(a + b)

What is the equivalent expression for 2(3y + 4)?

• 6y + 8

• 5y + 8

• 6y + 4

• 2y + 8

What is a like term?

• Like terms are terms that have the same variable raised to the same power.

• Like terms are terms that have different variables.

• Like terms are terms that have the same coefficients.

• Like terms are terms that are always positive.

What is the process of factoring an expression?

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

• Factoring an expression involves simplifying it to its lowest terms.

• Factoring an expression involves finding its derivative.

• Factoring an expression involves converting it into a decimal form.

What is the equivalent expression for 10m + 5n + 15m?

• 20m + 5n

• 25m + 5n

• 15m + 5n

• 30m + 5n