Linear Scenarios
Solve the System
Absolute Value
A.V. Inequalitites
Random
100
Janice is saving up for a car. She already has $500 in savings. She deposits $50 per week into her savings. It will take her this long before she has enough to buy a $2000 car.
What is 30 weeks?
100
Use Substitution:

x =3y + 12

-7x + 6y = -24

What is (0,-4)?
100
Solve:

|k+1|=6

What is 5 and -7?
100
Solve and write your answers in interval notation:

|v - 8| < 16

What is (-8, 24)?
100
Describe what an absolute value is.
What is the distance away from a given point?
200
Janice is saving up for a car. She already has $500 in savings. She deposits $50 per week into her savings. Write an equation for this scenario in function notation.
What is f(x) = 50x+500?
200
Use Elimination:

-6x - 4y = -20

x - 4y = -6

What is (2, 2)?
200
Solve:

3 + |m - 9|=18

What is 24 and -6?
200
Solve and write your answers in interval notation:

9|k| - 7 >= 29

What is (-inf, -4] U [4, inf)?
200
These are the four types of functions you learned in Algebra 1.

(hint: you've already covered two this year)

What are linear, exponential, absolute value, and quadratic?
300
Janice is saving up for a car. She already has $500 in savings. She deposits $50 per week into her savings. The domain and range of this situation is this.
What is

D: (0, inf)

R: (500, inf)?

300
Use Elimination:

-18x + 3y = 0

-6x + y = -3

What is no solution?
300
Solve:

-10|k - 1| + 8= -2

What is 2 and 0?
300
Solve and write your answer in interval notation:

8 - 8|k| > -48

What is (-7, 7)?
300
This is how you find the solution to a system on a graphing calculator.
What is graphing the functions from "y=" and finding the intersections?
400
Janice is saving up for a car. She already has $500 in savings. She deposits $50 per week into her savings. Danyce is also saving up for the same car, but she has $1000 already and is depositing $20 per week. It will take this long before Danyce can buy the car.
What is 50?
400
Use Substitution:

-x +5y = 22

x - 5y= -22

What are infinite solutions?
400
Solve:

-7|x/5|=-7

What is -5 and 5?
400
Solve and write your answers in interval notation:

-5|-7 - 3k| - 5 > -75

What is (-7, 7/3)?
400
These are the type of inequalities that have open circles and dashed lines.
What are less than and greater than (<, >)?
500
Write an equation from these two points: (-5,-3) (2,11).
What is y = 2x + 7?
500
Use either Substitution or Elimination:

8x + 3y = 13

-2x + 5y = -9

What is (2,-1)?
500
Solve:

4|4 - 9n| - 9=43

What is -1 and 17/9?
500
Solve and write your answers in interval notation:

9|-3x - 1| - 3 > 42

What is (-inf, -2) U (4/3, inf)
500
A tree sapling is planted at MHS at 5 feet tall. For the first two years, it grows by 3 feet per year. For the next two years it grows by 2 feet per year. After that the tree only grows by a foot per year. Write a piecewise function.
What is

if x is between 0 and 2 then 3x+5

if x is between 2 and 4 then 2x+11

if x is greater than 4 then x+15?

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