Question

"Why is Clara’s statement incorrect regarding the expression r^2 + 5r + 3r being equivalent to 9r? Choose all that apply.

A) The expression r + 5r + 3r simplifies to 9r + 8, which is not equivalent to 9r.
B) When you substitute 1 for r in both expressions, r^2 + 5r + 3r has a value of 9, and 9r has a value of 9. These values are equal.
C) The expression r^2 + 5r + 3r simplifies to 9r, which is equivalent to 9r.
D) When you substitute 2 for r in both expressions, r^2 + 5r + 3r has a value of 18, and 9r has a value of 18. These values are equal.
E) When you substitute 4 for r in both expressions, r^2 + 5r + 3r has a value of 48, and 9r has a value of 36. These values are not equal.
F) The expression r + 5r + 3r simplifies to 9r + 8, which is not equivalent to 9r.

Select the correct reasons explaining why Clara’s statement is incorrect."

Answer 1

Clara's statement is incorrect because the expression r^2 + 5r + 3r does not simplify to 9r.

Step-by-step explanation:

Clara's statement is incorrect because the expression r^2 + 5r + 3r does not simplify to 9r. Option A is correct because when you simplify the expression, you get 9r + 8, not 9r. Option B is incorrect because when you substitute 1 for r, both expressions have a value of 9, so they are equivalent. Option C is incorrect because the expression does not simplify to 9r. Option D is incorrect because when you substitute 2 for r, both expressions have a value of 18, so they are equivalent. Option E is correct because when you substitute 4 for r, r^2 + 5r + 3r has a value of 48, while 9r has a value of 36, so they are not equal. Option F is correct because the expression simplifies to 9r + 8, not 9r.