Download Quiz: Relations and Slope

Systems Test Review
Solve each system by GRAPHING. CHECK YOUR ANSWERS.
1. y = 3x – 4
y = -3x + 2
2. y = 3x
x–y=6
Solve each system by SUBSTITUTION. CHECK YOUR ANSWERS.
3. 2x + 3y = 12
y = 2x – 4
4. 2x – 2y = -8
x + 2y = -1
Solve each system by ELIMINATION. CHECK YOUR ANSWERS.
5. 3x – 8y = 12
2x + 8y = 8
6. 4x – 6y = 12
2x + 2y = 6
7. 3x – 2y = 2
5x – 5y = 10
8. -4x + 3y = 9
2x + 3y = -9
9. Solve by elimination. Identify as Infinite Solutions or No Solution.
x – 3y = 6
-x + 3y = 8
10. Solve by elimination. Identify as Infinite Solutions or No Solution.
2x – 3y = 6
6x – 9y = 18
Set-up a system of equations for each situation. You do not need to solve.
11. Kendra owns a restaurant. She charges $1.50 for 2 eggs and one piece of toast, and $.90 for
one egg and one piece of toast. Write a system of equations to determine how much she charges
for each egg and each piece of toast. Let x represent the cost of an egg and y represent the cost
of a piece of toast.
12. The sum of two numbers is 64. Their difference is 13. Write a system of equations that
describes this situation.
13. A rental car agency charges $32 plus $3 per day to rent a certain car. Another agency
charges $30.50 plus $3.25 per day to rent the same car. Write a system of equations to represent
the cost y for renting a car at each agency for x days.
14. A jar containing only nickels and dimes contains a total of 60 coins. The value of all the
coins in the jar is $4.45. Write a system of equations to find the number of nickels and dimes in
the jar. Use x for the number of nickels and y for the number of dimes.
15. A group of 3 children and 2 adults pay a total to $120 to take a karate class. A group of 5
children and 1 adult take the same karate class for $95. Write a system of equations to find the
cost for children and adults. Let x = the cost for children and y = the cost for adults.