Using graph paper, graph the following two equations:
2x +3y = - 17 y = x - 4
Determine the solution. Enter your answer as an ordered pair: (a,b)
Ben and Brian are having a contest to see who can save the most money. Ben has already saved $25 and starts saving $5 per week. Brian has only saved $16, but he starts saving $8 per week. In how many weeks will Brian have saved the same amount of money as Ben?
_______ weeks
The population of Charlotte was 300,000 in 1990. During the 1990's the population increased by about 50,000 per year. Which equation below represents the population of Charlotte since 1990 if a unit on the x-axis represents one year.
y = 300,000 + x
y = 50,000x + 300,000
y = 300,000 - 50,000x
y = 50,000x - 300,000
How many solutions exist for the system of equations below:
16x + 4y = 28 6x - 2y = 0
no solution
one solution
infinitely many solutions
cannot be determined
Use substitution to solve the following system of equations: x - 3y = - 5 4x + y = 8
A recipe calls for 4 cups of 1% milk. You have a gallon of 2% milk and a gallon of 1/2 % milk. How many cups of 1/ % milk should be mixed to make the 4 cups of 1% milk?
Hint: the fat content of the amount of 2% milk used plus the fat content of the amount of 1/2 % milk used must equal the fat content of the 4 cups to be used in the recipe.
_______ cups
2 1/3 cups
1 1/3 cups
3 cups
2 cups
If x - 4y = - 8 and 6x - 3y = 5, what is the value of x?
(Write your answer as either a fraction or a mixed number.)
Use elimination to solve for x: 4x - 5 y = 8 - 4x + 3y = - 12
Solve the following system of equations by elimination. Solve for d:
(3/5)c + (1/5)d = 9 (7/5)c + (1/5)d = 11
d = _______
2/75
5/2
75/2
15/2
What is the solution for:
4x + 4y = 12 and 2x + 4y = 16
(5, -2)
(5, 2)
(- 2, 5)
(2, - 5)
A new TV cost $256 more than a new DVD player. Together, they cost $422. How much did the DVD player cost?
$ __________
Solve this system by elimination by multiplication:
0.4x + 1.5y = - 0.5 1.2x - 0.5y = 3.5
Which is the correct answer below?
(- 2.5, -1)
(-2.5, 1)
(2.5, -1)
(-1, 2.5)
Solve the following system for y using elimination by multiplication: 3x + (1/3) y = 6 x - (3/4) y = 11
y = a/b (Write your answer as a fraction)
If you reverse the digits in your Dad's age, you will have your Grandpa’s age. Your Grandpa is 36 years older than your Dad. The sum of the two digits in their ages is 14. How old is your Grandpa?
Hint: For your Dad's age, (xy), x is the ten's digit and y is the one's digit, so your Dad's age is 10x + y.
Grandpa is ________ years old.
How many solutions are there for the following system?
x + 2 y = - 2 3x + 6y = - 6
none
1
2
infinitely many
Which of the following is the system of inequalities for this graph?
