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Solve for y
System of Equations
Word Problems
Inequalities
Change to y=
100
In the equation 2x+4y=12, what is the value of x if y =6?
-6
100
What is a system of equations?
2 or more equations
100
Donna paid $800 to have her house painted. The paint cost $300. The painter charged $20 for each hour he worked. How many hours did the painter work?
25 hours
100
Which of the following is a solution to the inequality y < 3x -1. A. (0, -1) B. (4, 2) C. (-1, -1) D. ( -4, 0)
B. (4, 2)
100
Which equation is equal to 2y=4x-6? A. y=2x-6 B. y=4x-6 C. y=2x-3 D. y=x-1
C. y=2x-3
200
If (5, y) is a solution for the eqution y=4x+12, what is the value of y?
32
200
What is the solution to the following system of equations? y=2x+4 y=5x+4 (In the form of an ordered pair)
(0,4)
200
Erin needs $550 for a trip. She earns $10.50 per hour. Erin was paid for working 7 hours a day for 5 days. How much more does Erin need for the trip
$182.50
200
Valerie purchased x tubes of lipstick at $4 each and y bottles of nail polish at $2 each. She spent less than $12, not including tax. Which point represents a reasonable number of lipsticks and bottles of nail polish that Valerie purchased? A (1, 5) B (2, 3) C (1, 3) D (2, 2)
C. (1,3)
200
Which equation is equal to -4y=2x-28? A. y=2x-28 B. y=4x-7 C. y=-1/2x+7 D. y=1/2x+28
C. y=-1/2x+7
300
If (x, -3) is a solution for the equation -2y=9x-12, what is the value of x?
2
300
What is the solution to the following system of equations? y=4x-2 y=4x+4 (Hint: Check Graph)
No solution, they are parallel. (Same Slope)
300
Mr. Bennett wants to buy a carton of oranges for $32.50. Each orange weighs about 4.6 ounces and will be packed into a carton that holds between 18 and 22 pounds. What is the greatest number of oranges that the carton can hold without its weight limit being exceeded?
76 oranges
300
Which of the following ordered pairs is in the solution set of y > 1/2x+3? A (-2, 1) B (-7, -2) C (5, 7) D (4, 5)
C. (5,7)
300
Which equation is equivalent 3x+4y=12? A. y=3/4x-12 B. y=-3/4x+3 C. y=3x+12 D. y=3x-3
B. y=-3/4x+3
400
In the equation y=15x-49, what is the value of x when y is -160?
-10
400
What is the solution to the following sysytem of equations? -4x+2y=10 y=2x+5
Infinite solutions
400
Kelly will enclose her rectangular tomato garden with 32 feet of fencing material. She wants the length of the garden to be at least three times the width. What is the minimum length that will meet Kelly’s conditions?
Length = 12 feet
400
_______17. The Hurston High School track team needs 25 team shirts with both the school mascot and the letters HHS on them. Each shirt with a printed mascot costs $9.95. The letters HHS cost $0.75 per letter. A supplier will sell every fifth shirt with the school’s mascot and letters for half price. What is a reasonable conclusion about p, the total price of all 25 shirts before taxes? A $200 < p < $250 B $250 < p < $300 C $300 < p < $350 D $350 < p < $400
B. $250 < p < $300
400
Which equation is equivalent to -5x-6y=30? A. y=5/-6x-5 B. y=6/5x+30 C. y=30x D. y=30x+5
A. y=5/-6x-5
500
In the equation 6.5x + 1.4y = 59, what is the value of x when y = 5?
8
500
What is the solution to the following system of equations? 5y – 2x = 6 3x – 2y = 13 (Answer in the form of an ordered pair)
(7,4)
500
At a pet store the total cost of 8 pounds of Brand X dog food and 1 pound of Brand Y dog food is $8.40, including tax. The total cost of 16 pounds of Brand X dog food and 8 pounds of Brand Y dog food is $24.00, including tax. What is the price per pound of Brand Y dog food?
$1.20
500
Which of the following ordered pairs is in the solution set for the equation -8y<3x-40? A. (-4, 6.75) B. (5,3) C. (-2, 5.5) D. (0,5)
A. (-4, 6.75)
500
Which of the following equations is equivalent to 24x=3y+33? A. y=3/24x+11 B. y=-3/24x+33 C. y=24x-33 D. y=-8x-11
D. y=-8x-11