Definitely Definitions
Value? (Absolute)ly!
Transformations: More Than Meets the Eye
Too Real (Applied Problems)
Play the System
100
This is any ordered pair which satisfies every linear equation in the linear system.
A solution
100
Solve the equation
|0.5y+4|=6
y= -20,4
100
This is the transformation from y=|x| to y=3/4|x|.
(Name the transformation with units)
Vertical compression by 3/4
100
A car's speedometer reads 45 miles per hour. The error E in this measurement is E=|a-45|, where a is the actual speed.
For what value(s) of a will E be 2.5 miles per hour?
a=47.5, 42.5 mph
100
Given the following graph of a system of linear equations, this is the solution.
(-2,4)
200
This is the name of a point which is a solution of a system of linear equations in three variables.
Ordered triple
200
Solve the equation. Check for extraneous solutions.
|9-2x|=10+3x
x=-1/5
200
Describe and correct the error of the graph of y=|x|-2
The transformation should be down 2 units, not to the right 2 units.
200
You can ride a bus by paying for a single ride or by paying for a weekly pass. A single ride costs $1.50, while a weekly pass costs $2, plus $1 for each ride. Below the graph describes the cost (in dollars) per ride.
Study the graph and decide which plan would be the most cost efficient, if you plan on riding the bus 6 times per week.
The weekly bus pass would be the most cost efficient plan.
200
Given the graph of a system of linear inequalities, determine the region which should be shaded.
-4x+8y>40
3x+y<=-2
300
This is the name of the transformation of y=a|x|, if a<0.
Reflection
300
Solve the inequality
|3w-15|<30
-5<w<15
300
Name the transformations from y=|x| to
f(x)=|x-4|+3
Horizontal shift: 4 units right
Vertical shift: 3 units up
300
One evening, 76 people gathered to play doubles and singles table tennis. There were 26 games in progress at one time. A doubles game requires 4 players and a single game requires 2 players. Let x represent the number of doubles games and y represent the number of singles games.
Write a system of equations which describes how many games of each kind were in progress at one time if all 76 people were playing.
4x+2y=76
x+y=26
300
This is the solution to the following system of linear equation.
x+5y=1
-3x+4y=16
(-4,1)
400
This defines a system of equations as having AT LEAST one solution
Consistent
400
Solve and graph the absolute value inequality
|4y-9|>7
400
Graph the absolute value function
y=2|x+3|
400
One evening, 76 people gathered to play doubles and singles table tennis. There were 26 games in progress at one time. A doubles game requires 4 players and a single game requires 2 players. Let x represent the number of doubles games and y represent the number of singles games.
Below is the system of equations representing the above problem. Solve for x and y.
4x+2y=76
x+y=26
There are 12 doubles games and 14 singles games.
400
This is the solution to the following system of linear equation.
-5x+3y=-5
y=5/3 x+1
No solution.
500
This defines a system of equations with NO solution.
Inconsistent
500
Graph the function and compare your graph with the graph of y=|x|.
y=-3|x|
500
Write an equation of the graph
y=-2|x|+1
500
At a pizza shop, two small pizzas, a liter of soda, and a salad costs $14; one small pizza, a liter of soda, and three salads costs $15; and three small pizzas and a liter of soda costs $16.
Write the system of equations which describes (x) the cost of a small pizza, (y) the cost of a salad, and (z) the cost of a liter of soda.
2x+y+z=14
x+y+3z=15
3x+z=16
500
This is the solution set to this system of linear equations in three variables.
2x-y-z=15
4x+5y+2z=10
-x-4y+3z=-20
(5,0,-5)