During a race, Bernie ran 9 meters every 4 seconds, while Barnaby ran 2 meters every second and got a 10 -meter head start. If the race was 70 meters long, did Bernie ever catch up with Barnaby? If so, when? Justify your answer.

Multiple Choice: Which of the following expressions is the product of $(4 y-3 x)(2 y+x)$ ? a. $8 y^2-2 x y-3 x^2$ b. $6 y^2-2 x y-2 x^2$ c. $8 y^2+10 x y-3 x^2$ d. $6 y^2-2 x$

Multiple Choice: Which of the expressions below is a factor of $6 x^2+7 x-20$ ? a. $3 x-4$ b. $2 x-5$ c. $3 x+4$ d. $4 x-3$

Multiple Choice: Which of the expressions below is a factor of $6 m^2+7 m-5$ ? a. $2 m+1$ b. $m+5$ c. $2 m-5$ d. $3 m+5$

Thui made the following hypotheses: $2 n-1<5$ and $n+1 \leq 2 n$. Which of the following conclusions can she make? a. $1 \leq n \leq 3$ b. $1 \leq n<3$ c. $1<n \leq 3$ d. $1<n<3$

Line m has intercepts (-7,0) and (0,-2). a. Find the equation of line m. b. Is the point (49,-16) also on line m? How do you know? c. Write the equation of a line that is perpendicular to line m and passes through the point (6,-1)

In order to quickly get people between terminals in the Minneapolis Airport, long conveyor belts were installed. Assume that if someone stood still on a conveyor belt, that person would travel 2 feet per second. a. Since Jung is in a hurry, he decided to walk on the conveyor belt (in the same direction he would travel standing still). If his terminal is 300 feet away and he wants to get there in 60 seconds, how fast does he need to walk with respect to the conveyor belt? (Assume he can ride the conveyor belt the entire distance.) b. Jacob, who is four years old, decided it would be fun to walk on the conveyor belt in the "wrong" direction (i.e., in the direction opposite to that he would travel if standing still). If he walks for 18 seconds at a rate of 1 foot per second, how far will he travel? In what direction does he travel? Explain.

Algeria has decided to take out an advertisement in the U.N newspaper, Liberty Daily. The newspaper charges a base fee of $1200 for an ad. There is an additional fee of$300 for every inch in height. If Algeria is willing to spend any amount up to (and including) $2700, what choices does the country have for the height of the ad?

Represent the solutions to the inequalities below on a number line. a. $3 x-2<10$ b. $5 x-1-3 x \geq 4 x+5$ c. $2(x+2)>10-x$ d. $\quad 4(x-3)+5 \geq-7$

Factor the expressions below completely, if possible. a. $4 x^2-20 x+25$ b. $x^2+11 x-2$ c. $3 x^2-12 x$ d. $10 x^2-35 x-20$

Solve the quadratic equation below. Check your solutions with a calculator.

$$3 x^2+2.5 x=12.5$$

Find each quotient below. Verify your work. a. $\left(2 p^2-7 p-30\right) \div(p-6)$ b. $\left(3 x^2-5 x+4\right)+(x-1)$ c. $\left(4 m^3-4 m^2-5 m\right) \div(2 m+3)$

Find the equation of the line with slope $-\frac{3}{5}$ passing through the point $(-6,2)$.

Use your graphing shortcuts to graph y=-2 x+3. Identify the x- and y-intercepts.