Question

practice
complete the table. then circle the expressions that are equivalent.
1.

y	5(2.2y + 1) - 3	11y + 5 - y	11y + 2
1
2
3

Explanation:

Step1: Simplify the first expression

\[

$$\begin{align*} 5(2.2y + 1)-3&=5\times2.2y+5\times1 - 3\\ &=11y + 5-3\\ &=11y+2 \end{align*}$$

\]

Step2: Simplify the second expression

\[
11y + 5-y=(11y - y)+5=10y + 5
\]

Step3: Evaluate expressions for \(y = 1\)

For \(11y+2\) (first - simplified expression): \(11\times1+2=13\)
For \(10y + 5\) (second - simplified expression): \(10\times1+5=15\)
For \(11y+2\) (third expression): \(11\times1+2=13\)

Step4: Evaluate expressions for \(y = 2\)

For \(11y+2\): \(11\times2+2=22 + 2=24\)
For \(10y + 5\): \(10\times2+5=20 + 5=25\)
For \(11y+2\): \(11\times2+2=24\)

Step5: Evaluate expressions for \(y = 3\)

For \(11y+2\): \(11\times3+2=33+2=35\)
For \(10y + 5\): \(10\times3+5=30 + 5=35\)
For \(11y+2\): \(11\times3+2=35\)

The completed table:

\(y\)	\(5(2.2y + 1)-3\)	\(11y + 5-y\)	\(11y+2\)
\(2\)	\(24\)	\(25\)	\(24\)
\(3\)	\(35\)	\(35\)	\(35\)

The equivalent expressions are \(5(2.2y + 1)-3\) and \(11y+2\).

Answer:

The equivalent expressions are \(5(2.2y + 1)-3\) and \(11y+2\). The completed table values are as shown above.