POW #1 Literal Equations

Course 3 Adv. Alg. with Trigonometry Name:______POW #2 UNIT 0 REVIEW Per.____ Teacher: ______Literal Equations, Solving equations, Linear Models Due September 23/24, 2013 Modeling functions

PROBLEM # 1: Sam says that the following equations are two ways to write the SAME formula. Decide whether or not you agree with Sam. Show all work and clearly explain how you made your decision.

PROBLEM # 2: The area A of a sector (pie-wedge-shaped section) of a circle is given by: where r is the radius and S is the angle measure of the sector. a) Solve for S. b) Solve for r.

PROBLEM # 3: Solve each equation and clearly mark your answer. SHOW ALL WORK! x  5 x 1 a) | 8x – 2 | - 17 = - 5 b) x 2  7  3  x c)  d) – 14 x 2 m  5  17(m  3) 3

PROBLEM #4: An equation of a linear graph can be written in several ways: (1) Ax + By = C (Standard Form) (2) y=mx+b (Slope-Intercept Form)

Find the equation for the given graph. Write your equation in both standard and slope-intercept form. a) b) c) Write the equation of the line which passes through points (2, -4) (-4, 8). Write your equation in both standard and slope-intercept form. Show all work!

PROBLEM #5: The table below shows data from 10 technicians.

Experience (years) 9 4 3 1 10 5 12 6 7 2 Hourly rate of pay $17 $11 $10 $7 $19 $12 $20 $15 $14 $8 a) Draw a scatter plot to show the relationship between years of work experience (x) and the hourly rate of pay (y) for computer technicians. b) Which function would best represent this data? Why?

c) Without the use of your calculator!!!! find a prediction equation to show how years experience and hourly rate of pay are related. SHOW ALL WORK!

d) Using your prediction equation, predict what a technician with 14 years of experience would earn hourly?

e) Predict the years of experience for a technician who makes $25/hour. SHOW WORK, or EXPLAIN how you found the answer!

PROBLEM # 6: Write an equation representing each function. a) b) c)

PROBLEM #7: Construct an equation that is appropriate for the following graphs. Support your equation with an explanation. a) b) c)