Equivalent Expressions

Which is expression is equivalent to 12(3 + m) ?

• 36m

• 36 + m

• 36 + 12m

• 3m + 12m

Determine which expression is equivalent to

(10 x 18) + (10 x s)? Check the ones that are a "YES." In this expression, "x" MEANS multiply! HINT: There are only 2 "YES" answers.

• 190 x s

• 20 x 18s

• 180 + 10s

• (10 + 10) x (18 + s)

• 10(18 + s)

Which expressions are equivalent to 5x² - 15x that is a product of two expressions ?

• 5x(x-3)

• 5(x² - 3x)

• x(5x - 15)

Which expression is equivalent to (7 x 6) + (7 x y)? In this expression, "x" means MULTIPLY.

• 7(6 + y)

• 6y + y

• (y x 6) + y²

Which expression is equivalent to y(6 + 7)

• 6y + 7

• 6(y + 7)

• (y x 6) + (y x 7)

Which expression is equivalent to (6 x y) + (6 x 7)? In this expression, "x" means MULTIPLY.

• 6y + y

• 7(6 + y)

• (y x 6) + (y x 7)

• 6(y + 7)

Which expression is equivalent to y(6 + y)?

• (y x 6) + y²

• (y x 5) + (y x 7)

• 6y + y

• 6(y + 7)

Clara states that r² + 5r + 3r is an equivalent expression to 9r. Why is Clara's statement incorrect?

• The expression r² + 5r + 3r simplifies to r(r + 8), which is not equivalent to 9r.

• When you substitute 1 for r in both expressions, r² + 5r + 3r has a value of 10 and 9r has a value of 9. These values are not equal.

• The expression r² + 5r + 3r simplifies to 10r, which is not equivalent to 9r.

• When you substitute 2 for r in both expressions, r² + 5r + 3r has a value of 20 and 9r has a value of 18. These values are not equal.

• When you substitute 4 for r in both expressions, r² + 5r + 3r has a value of 48 and 9r has a value of 36. These values are not equal.