Skills Quizzes : Systems of Linear Equations

Quiz Name 
Skill Assessed 
Practice File 
Passing Grade 
Notes 
Graphing 
Solve systems of equations by graphing; check the solution 
See homework assignments for practice problems

3 out of 4 

Substitution 
Solve systems of equations using the substitution method; check the solution. 
See homework assignments for practice problems 
3 out of 4 

Linear Combinations 
Solve systems of equations using linear combinations; this includes adding, subtracting, multiplication, division; check the solution. 
See homework assignments for practice problems 
3 out of 4 

Writing Systems of Equations 
Write a system of equations to model a problem; then solve the system and check the solution. 

5 out of 6 

Writing Systems of Equations 
Write a system of equations to model a problem; then solve the system and check the solution.
Sample: The difference of George's age and Madison's age is 9 years. The sum of 6 times George's age and 5 times Madison's age is 153. How old is each?

Practice problem sets (PDF)

3 out of 3 
Practice problem set solutions (PDF) 
Sample Word Problems 
For each of these word problems, students should be able to:
 Write a system of equations that models the propblem
 Choose an appropriate method for solving the system  graphing, substitution, linear combinations
 Solve the system (for all variables)
 Check the solution (in all equations) algebraically
Samantha has $3.40 in dimes and quarters.
The number of dimes is 8 less than the number of quarters.
How many coins of each type does she have?

A piggy bank has $4.30 in dimes and quarters.
If the number of dimes is 7 more than 2 times the number of quarters,
how many coins of each type are in the piggy bank?

George's age is 5 times Kendell's age.
The sum of their ages is 48. Find the age of each.

The difference of Jimmy's age and Linda's age is 10 years. The sum of 5 times Jimmy's age and 4 times Linda's age is 104. How old is each?

There were 235 people at a movie to raise funds for the drama club.
Admision was $8.00 for each adult and $4.00 for each student.
The total receipts for all tickets was $1504.00.
How many adults and how many students attended?

The length of a rectangle is 11 m less than 5 times the width. The perimeter is 434 m. Find the length and width of the rectangle.

George scored 13 more points than twice as many as Roy did. Their combined score was 40 points. How many points did each score?

The difference of Jen's age and Mark's age is 6 years. The sum of 4 times Jen's age and 3 times Mark's age is 108. How old is each?

