QUESTIONS
Question 1
The sum of two numbers is 155. Their difference is 23. Find the numbers.
Question 2
Decide whether it would be more convenient to solve the system of equations by substitution or elimination.
{−5x+14y=12
{7x+3y=4
- elimination
- substitution
Question 3
Solve the following system of equations:
{−x−6y=20
{−2x+5y=6
Question 4
Decide whether it would be more convenient to solve the system of equations by substitution or elimination.
{3x+8y = −13
{14x+3y/5 = −10
- elimination
- substitution
Question 5
Solve the following system of equations:
{−3x+4y=7
{7x−12y=−11
Question 6
The sum of two numbers is −17. Their difference is 41. Find the numbers.
Question 7
Solve the following system of equations:
{5x+4y = −20
{−7x−12y = −4
Question 8
Solve the following system of equations:
{−6x−y=2
{−7x−4y=−9
Write your answer as an ordered pair (x, y).
Question 9
Decide whether it would be more convenient to solve the system of equations by substitution or elimination.
{x/4 − 14y = 13
{−3x − 2y/3 = 7
- elimination
- substitution
Question 10
Decide whether it would be more convenient to solve the system of equations by substitution or elimination.
{−3x+3y= −12
{−6x+2y = 9
- elimination
- substitution
Question 11
Peter is buying office supplies. He is able to buy 3 packages of paper and 4 staplers for $40, or he is able to buy 5 packages of paper and 6 staplers for $62. How much does a package of paper cost? How much does a stapler cost?
Question 12
The total amount of sodium in 2 hot dogs and 3 cups of cottage cheese is 4,720mg. The total amount of sodium in 5 hot dogs and 2 cups of cottage cheese is 6,300mg. How much sodium is in a hot dog? How much sodium is in a cup of cottage cheese?
ANSWERS
Question 1
The sum of two numbers is 155. Their difference is 23. Find the numbers.
Answer: 89, 66
Question 2
Decide whether it would be more convenient to solve the system of equations by substitution or elimination.
{−5x+14y=12
{7x+3y=4
- elimination
- substitution
Answer: elimination
Question 3
Solve the following system of equations:
{−x−6y=20
{−2x+5y=6
Answer: (−8, −2)
Question 4….
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