Equations
x + y = 2
x - y = 4
(3, -1)
Is the line solid or dashed for the following inequality?
y > -3x - 4
dashed
The quadrant in which the solution to the following system lies:
y = x + 4
y = 2x + 5
Quadrant II
The sum of two numbers is 104. Their difference is 68. What are the numbers?
86 and 18
What is the value of x in the solution to this system of equations?
3x - 5y = 22
y = −5x + 32
6.5
3x - 5y = 15
y = 3
(10, 3)
What inequality symbol would you use for the words "at most?"
≤
The quadrant in which the solution to the following system lies:
8a + 5b = 9
2a - 5b = -4
Quadrant I
A shopper bought 6 shirts and 8 hats for $700. A week later, at the same prices, he bought 9 shirts and 6 hats for $660. What was the cost of one shirt?
$30
The equations of two lines are 6x - y = 2 and 4x - y = -8. What is the value of x in the solution for this system of equations?
x = 5
2x + 3y = 4
y = 5x - 27
(5, -2)
What inequality symbol would you use for the words "no more than?"
≤
The quadrant in which the solution to the following system lies:
y = -3
x = 5
Quadrant IV
The amount of money each child received when Mr. Vogel left $25,000 divided between his son and daughter, with the daughter receiving $5000 less than the son.
$15,000 for the son and $10,000 for the daughter
There are 9 books stacked on a shelf. The thickness of each book is either 1 inch or 2 inches. The height of the stack of 9 books is 14 inches. How many of each type of book are on the shelf?
4- 1 inch books
5- 2 inch books
7x - y = 19
2x - 3y = 19
(2, -5)
True or False: Points on dashed lines are considered solutions to inequalities.
False
The QUADRANTS in which the solution to the following system lies:
2a - 4b = 12
-8a + 16b = -48
Quadrants I, III, and IV
The number of each type of ticket sold in the following situation: Tickets to a football game cost $5.oo if purchased before the day of the game. They cost $7.50 if purchased at the game. For a particular game, 600 tickets were sold and the receipts were $3500.
400 advanced tickets and 200 game-day tickets
True or False:
The point (2, 0) is a solution to the system of inequalities
x + y < 1
x - y ≤ 2
False
4x - y = -4
5x = 2y + 1
(-3, -8)
Do you shade above (left) or below (right) for solutions to the following inequality?
y ≥ 2x + 1
Above / Left
The quadrant in which the solution to the following system lies:
y - 3x = 3
y = 3x - 2
None (no solutions)
The dimensions of a rectangle whose perimeter is 78 inches, when the length of the rectangle is twice its width.
26 x 13
A boy has 380 prize tickets he wants to exchange for action figures at a prize booth. At this prize booth 5 tickets can be exchanged for a large action figure, and 7 tickets can be exchanged for 2 small action figures. The boy wants 4 times as many small action figures as large action figures. Based on this information, can the boy get 80 small action figures?
Yes