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Systems of 3 Equations
Matrices
Systems of 2 Equations
Word Problems
Systems of Inequalities
100
What is the word to describe when the solution to a system of 3 equations is a line?
consistent and dependent
100
What is the identity matrix of a 4x4 matrix?
[1 0 0 0] [0 1 0 0] [0 0 1 0] [0 0 0 1]
100
What does it mean for a system to be inconsistent?
No solution, not intersecting, parallel lines, etc.
100
What is the equation for distance?
D=rt
100
Graph the inequality y>2 on a coordinate plane.
Ms. DeHart will check.
200
Is the coordinate (3, 1, -2) a solution to the system? 5x-3y+4z=4 AND 4y-3z=10 AND 3z=-6
yes
200
What must be true in order to add or subtract matrices?
They must have the same dimensions.
200
When solving a system, what does it mean when you get 5=5?
The system is consistent and dependent. They are the same line. There are infinite solutions.
200
If p is a plane's speed, and w is the wind's speed. Write an expression to show the speed the plan is flying when going AGAINST the wind.
p-w
200
Is (0,0) a solution to the inequality y>x?
No.
300
Solve the system: x+2y+3z=-1 AND 3y+2z=-1 AND z=-2
{(3, 1, -2)}
300
Add A + B. (Ms. DeHart will write A & B on the board)
[0 0] [0 0]
300
What are the 3 methods we learned in class to solve systems of equations?
graphing, substitution, elimination/linear combination
300
If 8 pens and 7 pencils cost $3.37 while 5 pens and 11 pencils cost $3.10, how much does each pen and each pencil cost?
pens: $.29 each; pencils: $.15 each
300
When do you use a dashed line when graphing inequalities?
When < or > only.
400
Solve the system: x+3y+2z=-1 AND -3x-2y+z=3 AND 2x-y+3z=-8
{(-2, 1, -1)}
400
What is the zero matrix for a 2x3?
[0 0 0] [0 0 0]
400
Solve the system: 3p+2q=-2 and 9p-q=-6
(-2/3, 0)
400
Ann can paddle her canoe 15 mi downstream in 2 hours. The return trip upstream takes 3 times as long. What is the rate of the current?
2.5 mi/hour
400
Is the point (1,1) a solution to the following system of inequalities? x-y<0 and y-x <0?
yes
500
A pen and a pencil cost $.30. Two pencils and an eraser cost $.39. A pencil, an eraser, and two pens cost $.63. How much does 1 pencil cost?
$.12
500
Multiply C * D. (Ms. DeHart will put C and D on the board.
see board for answer.
500
Solve the system: 2x-3y=2-x and 3x-2y=-2+y
No solution - Inconsistent
500
A financial planner wants to invest $8000, some in stocks earning 15%annually and the rest in bonds earning 6% annually. How much should be invested at each rate to get a return of $930 annually from the two investments?
$5000 at 15%, $3000 at 6%
500
Solve the system x>0, y>0, y>x. (Your solution should be a graph.)
Ms. DeHart will check.