Exam 11: P Prerequisites

Write the complex number $\frac{7+4 i}{4-3 i}$ in standard form.

Solve: $x^{2}-2 x-2<1$

Find the midpoints of the sides of the triangle defined by the vertices (5, 5), (-2, 7), and (-1, 1).

In the x y -plane, what is the slope and y -intercept of the graph of the line 4 x+3 y=12 ?

Which of the following are solutions of the equation (x-5)(x+3)=0?

Solve graphically: $|3+5 x|=7$

Solve $2 x^{2}+7 x-15=0$ using the quadratic formula.

Solve the inequality $x^{2}-x-6 \leq 0$ Express your answer in interval notation.

Solve $-6 \leq \frac{2 x+1}{4} \leq 6$ algebraically.

Write the equation of a line through the point (-1,2) and parallel to the line with equation 3 x-2 y-5=0 . Write the equation in the general form.

Find the distance between the points (-8, 5) and (3, 2).

Write the inequality that describes the graph.

Solve graphically: $4 x^{3}-2 x^{2}-4 x-1=0$

This year a news agency purchased a delivery vehicle for $\$ 27,000$ . The vehicle's value will depreciate $\$ 4,500$ a year for each of the next 6 years. The equation $y=27,000-4,500 x, 0 \leq x \leq 6$ models the vehicle's value, where $y$ is the value of the vehicle and $x$ is the number of years after purchase. In how many years will the value of the vehicle be $\$ 13,500$ ?

Write the complex number $\frac{6-5 i}{4+2 i}$ in standard form.

Use the quadratic formula to solve $4 x^{2}+6 x+7=0$

Solve the inequality $|2 x+3| \geq 1$ algebraically. Write the solution in interval notation and draw its number line graph.

Solve: $\left|\frac{x+1}{2}\right|>4$

Which of the following is the graph of x=-5 in the xy-plane?

Find the equation of a line that contains (3, 4) and has slope 2. Write the equation in point-slope form.