Math Models Unit 1 Lesson 10
15. Write system of equations, solve, and select the correct answer. Maxine had 25 quarters and dimes in a dish. When she cashed them in she received $4.00. How many dimes and how many quarters did she have?
q = 10 d = 15
16. Write a system of equations, solve, and select the correct answer. Wes has a total of 103 coins made up of nickels and quarters. He has a total of $8.75. How many quarters and how many nickels does Wes have?
q = 18 n = 85
1. Solve the systems of equations. y = x + 3 y = -x +1
x = -1 y = 2
9. Solve the systems of equations. 4x - 5y = -2 3y - x = -3
x = -3 y = -2
14. Write a system of equations, solve, and select the correct answer. The sum of two numbers is -16. Their difference is 2. Find the two numbers. Let x be one number and y be the other number.
x = -7 y = -9
5. Solve the systems of equations. y - 2x = 2 4y - 4x = 12
x = 1 y = 4
2. Solve the systems of equations. y = 2x y = -x + 3
x = 1 y = 2
17. Solve the systems of equations. x - y = 1 2/5x - y/9 = 3
x = 10 y = 9
13. Write a system of equations, solve, and select the correct answer. The sum of two numbers is 1 and their difference is 3. Find the numbers.
x = 2 y = -1
7. Solve the systems of equations. y = x - 3 y = -x + 1
x = 2 y = -1
12. Write a system of equations, solve, and select the correct answer. The sum of two numbers is 52, and their difference is 4. Find the numbers. Let x be one number and y be the other number.
x = 28 y = 24
8. Solve the systems of equations. 5x + 4y = 7 x - 3y = 9
x = 3 y = -2
6. Solve the systems of equations. 2x - 5y = 6 y = 2/3x - 2
x = 3 y = 0
4. Solve the systems of equations. y = x - 2 x + 2y = 8
x = 4 y = 2
10. Solve the systems of equations. y = x - 5 2x - 5y = 1
x = 8 y = 3
11. Write a system of equations, solve, and select the correct answer. The sum of two numbers is 3. The larger number minus twice the smaller number is zero. Find the numbers.
x = 8 y = 3
3. Solve the systems of equations. y - x = 3 2x - 2y = 2
x = no solution y = no solution
