The average distance between the earth and the sun is approximately $1.495 \times 10^{11} \mathrm{~m}$

Estimate the average speed at which the earth rotates around the sun in $\mathrm{km} / \mathrm{s}$. Use $365.25$ days per year.

When using Cramer's rule to solve systems of equations, what types of (16) systems could exist if the determinant equals zero? Describe the graphs of the lines.

Write each fraction or decimal as a percent.

$$\frac{1}{6}$$

Which is a solution to the system below?

$$\left\{\begin{array}{l} -x+2 y=6 \\ -3 x+4 y=4 \end{array}\right.$$

A $(7,5)$

B $(8,7)$

C $(0,0)$

D $(-16,-11)$

Classify the polynomial expressions by their degree and by the number of terms.

$$x^1+5 x^0$$

Consider the following polynomials: $P_1=2 x^5+x^3, P_2=-2 x^5-x^3+x$, $P_3=x^2$, and $P_4=x^5$. Find the number of terms in each of these sums: $P_1+P_2$, $P_1+P_3$, and $P_1+P_4$. Use the results to make a generalization about the number of terms in the sum of two polynomials compared to the number of terms in the polynomials that make up that sum.

Multiply the matrices. Check using a graphing calculator.

$$\left[\begin{array}{rr} -2 & -1 \\ 6 & 4 \end{array}\right] \cdot\left[\begin{array}{rrr} -1 & 0 & 1 \\ 0 & 1 & 0 \end{array}\right]$$

Given the slope and a point of the line, graph the line. Determine the $y$-intercept of the line.

$m=-\frac{4}{5}(5,-5)$.

Match the solution with the system of equations.

$$x=\frac{\left|\begin{array}{rr}8 & 2 \\ 1 & -1\end{array}\right|}{\left|\begin{array}{rr}5 & 2 \\ 3 & -1\end{array}\right|}$$

$$y=\frac{\left|\begin{array}{rr} 5 & 8 \\ 3 & 1 \end{array}\right|}{\left|\begin{array}{rr} 5 & 2 \\ 3 & -1 \end{array}\right|}$$

A

$$\left\{\begin{array}{l}8 x+2 y=5 \\ x-y=3\end{array}\right.$$

B

$$\left\{\begin{array}{l}5 x+8 y=2 \\ 3 x+y=-1\end{array}\right.$$

C

$$\left\{\begin{array}{l}5 x+2 y=8 \\ 3 x-y=1\end{array}\right.$$

D

$$\left\{\begin{array}{l}8 x+y=5 \\ 2 x-y=2\end{array}\right.$$

Given the slope and a point of the line, graph the line. Determine the $y$-intercept of the line.

$m=\frac{5}{3}(-3,1)$.

Use the matrices to find the products, if possible.

$$A=\left[\begin{array}{r} -1 \\ 5 \\ 3 \end{array}\right] \quad B=\left[\begin{array}{lll} -2 & 0 & 2 \end{array}\right]$$

BA

Identify the subsets of real numbers of which each number is a member.

$$0.33$$

Simplify the expressions.

$$(4 a+6 b)(4 a-6 b)$$

Classify the polynomial expressions by their degree and by the number of terms.

$$7 x^3+3 x^2+5 x$$