Question

math 6: express yourself
name astrid
equivalent expressions

1. students in mrs. grable’s class were asked to write

an expression for the model to the right.
jeri wrote 8b + 6. which expressions are equivalent
to jeri’s expression?
14b
(b + b + b + b + b + b + b + b + 6)
(2(4b + 3))

Explanation:

Step1: Analyze 14b

Compare $14b$ and $8b+6$. These are not equivalent, since $8b+6$ has a constant term that $14b$ lacks.

Step2: Analyze the sum expression

Rewrite $b+b+b+b+b+b+b+b+6$. Count the $b$ terms: there are 8, so this simplifies to $8b+6$, which matches Jeri's expression.

Step3: Analyze the factored expression

Expand $2(4b+3)$ using distribution: $2\times4b + 2\times3 = 8b+6$, which matches Jeri's expression.

Answer:

• $b+b+b+b+b+b+b+b+6$
• $2(4b + 3)$