Warm Up #1

A line in the xy-plane has a slope of 1/9 and passes through the point (0,14). Which equation represents this line?

A. y = (-1/9)x – 14

B. y = (-1/9)x + 14

C. y = (1/9)x – 14

D. y = (1/9)x + 14

Warm Up # 2

If x/8=5, what is the value of 8/x?

Warm Up #3

Triangles ABC and DEF are congruent, where A corresponds to D, and B and E are right angles. The measure of angle A is 18°. What is the measure of angle F?

A. 18°.

B. 72°.

C. 90°.

D. 162°.

Problem 1

y = x^2 – 14x + 22

The given equation relates the variables x and y. For what value of x does the value of y reach its minimum?

Problem 2

The measure of angle R is 2π/3 radians. The measure of angle T is 5π/12 radians greater than the measure of angle R. What is the measure of angle T, in degrees?

A. 75

B. 120

C. 195

D. 390

Problem 3

What is the smallest solution to the given problem?

Problem 4

Problem 5

In the figure shown, BD=15 and AB=30. What is the length of Line AD? What is the length of Line DC?

Problem 6

For the function q, the value of q(x) decreases by 45% for every increase in the value of x by 1. If q(0)=14, which equation defines q?

Problem 7

A small business owner budgets $1,250 to purchase candles. The owner purchases 150 candles. If the owner pays $5.00 per candle to purchase small candles and $10.00 per candle to purchase large candles, how many large candles did the owner buy?

Problem 8

The function f is defined by the given equation. If g(x)=f(x+2), which of the following equations defines the function g?