Chapter 3 Review Worksheet #2
Name: ___________________________
Period: __________________________
Directions: Try the problems without using your notes or textbooks. Check the class website by
Sunday to compare your answers. Go back and correct any problems you did wrong. Any problems you
do not understand or get wrong are important to study before the test on Monday.
Topics for Chapter 3 Test (These are the main topics. You should look at each section in your
textbook and reference your notes to see everything we covered in each section)
 Section 1.1 – Recursive Sequences, common difference, writing recursive formula
 Section 3.1 – Explicit formulas, linear equation
 Section 3.2 – Slope – slope formula, point slope form, slope intercept form, parallel and
perpendicular lines, slope of vertical and horizontal lines, writing equations for vertical and
horizontal lines, dependent and independent variables, domain and range
 Section 3.3 – Line of best fit, eyeballing line and writing equation for that line
 Section 3.6/3.7 – Solving systems by substitution, elimination, graphing and solving application
problems using four step process
Practice Problems:
Sequences
1. Find the recursive formula (using
2. Find the explicit formula and
u0 ) and u4 if u1  26 and d  200 .
u12 if u1  28 and d  5 .
3. Given the sequence
34, 64, 94, 124,... write a recursive formula (using u0 ).
4. Given the sequence
2 ,1, 4 , 5 ,... write an explicit formula.
3 3 3
5. Given the explicit formula
an  11 7n , find u8 and write the recursive formula (using u0 ).
Slope
1. Find the equation of the line in slope-intercept form that passes through 

2. Find the value of
6,4  and  3, 8



w for which the slope of the line through  w, 15 and  2w 1, 29  is




7
2
 2,k  and  5,3k  4  is 8 .







3. Find the value of
k
4. Find the value of
p so that the slope between the points  p, 9  and  5,3 is undefined
for which the slope of the line through 
5. Find the equation of the line with a slope of


0 through  2,11 .




6. Find the equation of a line with slope that is undefined through the point (4, -6)
Parallel and Perpendicular
1. Find the equation of the line in slope-intercept form that is parallel to
through 

y  7  4x and passes
2, 5 .

2. Find the equation of the line in point-slope form that is perpendicular to
through 

5 y  x 15 and passes
3,7  .

3. Find the equation of the line that is parallel to
x  6 and passes through the point  9,13 .
4. Find the equation of the line perpendicular to
4x  3 y  24 through  8, 10  .
5. Find the equation of the line parallel to




5x  2 y  20 and through the point  6, 13 .


Linear Systems
1. Solve
5x  y  9
10x  7 y  9
2. Solve
3x  3 y  4
x  y  3
3. Solve
x  6 y 16
8x  2 y  13
4. Solve
6x  2 y  4
3 y  9 x  6
5.. Solve
7 x  3 y  16
5x  9 y 16
6. At a baseball game, Adam bought 2 hotdogs and 2 sodas and spent $5.70. Chris bought 5 hotdogs
and 4 sodas and spent $12.65. How much is a soda? How much is a hotdog?
7. Mr. Peters is twice as old as his daughter. In 2 years, he will be 4 times as old as she was 15 years ago.
How old are they each now?
8. A photography club sells two different calendars featuring pictures of birds. The wall calendar sells
for $14.95, and the desk calendar sells for $7.50. Last year, 268 calendars were sold for a total income
of $2293.10. How many wall calendars did the club sell? How many desktop calendars did the club sell?
9. The senior classes at Tinsdale High School and Billinger High School planned separate trips to Los
Angeles. The senior class at Tinsdale High School filled 1 van and 6 buses with 365 students. The senior
class at Billinger High School filled 4 vans and 12 buses with 752 students. Each van and each bus
carried the same number of students. How many students can a van carry? How many students can a
bus carry?
10. A computer repair company charges two different hourly rate, one for during the day and one at
night. On a particular project, they were contracted 11 hours during the day and 5 hours at night and
charged $370. On another project, they were contracted 9 hours during the day and 2 hours at night
and charged $240. What is their hourly rate during the day? What is their hourly rate at night?
Answers:
Sequences
1.
u0  226
un  un1  200
2.
an  33  5n u12  27
4.
an  1  1 n
3 3
5.
u8  45 u0  11
un  un1  7
3.
u0  34
un  un1  30
Slope
1.
4.
y  4   4  x  6 

3
p 5
2.
w5
3.
k  30
5.
y 11
6.
𝑥=4
3.
x  9
Parallel and Perpendicular
1.
y  4x  3
2.
y  7  5 x  3
4.
y 10  3  x  8

4
5.
y 13  5  x  6 

2


Linear Systems
6
1. 

,3
5 


 5
3. 1, 
 2


5.  4,4 


2. no solution (parallel lines,
0  5 )
4. infinitely many solutions (same line,
0  0)
6. One hotdog costs $1.25, and one soda costs $1.60
7. Mr. Peters is 62, and his daughter is 31
8. The club sold 38 wall calendars and 230 desktop calendars
9. Each van can carry 11 students, and each bus can carry 59 students
10. The company charges $20 per hour during the day and $30 per hour at night