Question

① use substitution to match these solutions to their equations. {7, 36, 42, 3}
\frac{12}{a}=4, a = ___
\frac{b}{7}=6, b = ___
\frac{56}{c}=8, c = ___
② use the commutative property to write an equivalent expression. 7 + h=
③ identify if the question is statistical or non - statistical. \what is your favorite movie?\
④ graph and label the polygon: (1, 2), (7, 2), (3, 5), (9, 5)
⑤ graph and label the polygon: (2, - 7), (5, - 3), (9, - 3), (9, - 7)

Explanation:

Step1: Solve equations in part 1

For $\frac{12}{a}=4$, cross - multiply: $4a = 12$, then $a=\frac{12}{4}=3$. For $\frac{b}{7}=6$, multiply both sides by 7: $b = 6\times7 = 42$. For $\frac{56}{c}=8$, cross - multiply: $8c = 56$, then $c=\frac{56}{8}=7$.

Step2: Use commutative property in part 2

The commutative property of addition states that $a + b=b + a$. So, $7 + h=h + 7$.

Step3: Determine type of question in part 3

A statistical question has variability in the answers. The question "What is your favorite movie?" has different answers for different people, but it is non - statistical as it asks for a single person's preference without data collection and analysis on a group.

Step4: Graph polygons in part 4 and 5

For the polygon with vertices $(1,2),(7,2),(3,5),(9,5)$: Plot the points $(1,2)$ (1 unit right and 2 units up from the origin), $(7,2)$ (7 units right and 2 units up), $(3,5)$ (3 units right and 5 units up), $(9,5)$ (9 units right and 5 units up) and connect them in order. For the polygon with vertices $(2,-7),(5,-3),(9,-3),(9,-7)$: Plot the points $(2,-7)$ (2 units right and 7 units down), $(5,-3)$ (5 units right and 3 units down), $(9,-3)$ (9 units right and 3 units down), $(9,-7)$ (9 units right and 7 units down) and connect them in order.

Answer:

1. $a = 3$, $b = 42$, $c = 7$
2. $h + 7$
3. Non - statistical
4. Graph the polygon with vertices $(1,2),(7,2),(3,5),(9,5)$ as described above.
5. Graph the polygon with vertices $(2,-7),(5,-3),(9,-3),(9,-7)$ as described above.