For real numbers a, b, and c, identify the property that is illustrated by (a + b)c = ac + be.

Match the description, labeled A to J, with a suitable example.

A. $x^3 y+x y$

B. $7 x^2+5 x-11$

C. $\frac{1}{2} x^2+x y+y^2$

D. $4 x y$

E. $8 x^3-1$

F. $3-4 x^2$

G. 8

H. $3 x^5-4 x^2+7 x-11$

I. $8 x^4-\sqrt{5} x^3+7$

J. 0

A monomial of degree 2

Find the GCF of the expressions.

$9 x^2 y^3$ and $12 x y^4$

Evaluate $2 x^3-4\left(3 x y-z^2\right)$ for $x=-2, y=3$, and $z=-4$.

Classify each number as one or more of the following: integer, rational number, irrational number, real number, prime number, composite number.

3

Determine the real part and the imaginary part of the complex number 12 - 17i

Use the Distributive Property to find each product.

8(35)

Fill in the blanks with the terms that best complete the following sentence. ___________ causes cold, nutrient rich waters to move up to the ocean’s surface.

For $k, n \in Z+$ with $n \geq k \geq 1,$ let Q(n, k) count the number of permutations $\pi \in \mathrm{Sn}$ where any representation of $\pi,$ as a product of disjoint cycles, contains no cycle of length greater than k. Verify that

$$Q(n+1, k)=\sum_{i=0}^{ k-1} \left( \begin{array}{l}{n} \\ {i}\end{array}\right)(i !) Q(n-i, k).$$

The table shows the percent of the Recommended Daily Allowance for some of the nutrients in a 6-oz baked potato.

$$\text{Potato Facts}\\ \begin{array}{|l|l|} \hline {\text { Nutrient }} & \text { RDA } \\ \hline \text { Magnesium } & 14 \% \\ \hline \text { Iron } & 34 \% \\ \hline \text { Vitamin B6 } & 35 \% \\ \hline \end{array}$$

Suppose you eat a 6-oz baked potato. What percent of each nutrient do you still need to meet the Recommended Daily Allowance?

A medium banana contains 451 mg of the nutrient potassium. How many bananas would you have to eat in one day to obtain the recommended daily intake of 3.5 g of potassium?

Calculate the approximate weight of air in your classroom.

Fro the sequence, describe the pattern, write the next term, and write a ruler for the nth term. 1/10, 3/20,5/30,7/40,...

Based on the presentations of all lab teams, do you think it's easy or difficult to meet nutrient needs from readily available foods?