Set Up Linear Equations
Solve Linear Inequalities
Interpret Linear Inequalities
Systems of Linear Equations
Solving Systems
100
Kylie is starting a new book in her English class, Pride and Prejudice. She has already read 40 pages, and Kylie plans to read 22 pages each night.
Write an explicit rule for the number of pages Kylie has read, P, based on the number of days that she has been reading, d.
P = 22d + 40
100
Kylie is starting a new book in her English class, Pride and Prejudice. She has already read 40 pages, and Kylie plans to read 22 pages each night.
How many pages will Kylie have read after at least 14 days?
P>=348 or 348<=P
100
Kylie is starting a new book in her English class, Pride and Prejudice. She has already read 40 pages, and Kylie plans to read 22 pages each night.
Solve the following equation/inequality and explain the solution in the context.
194 < 40 + 22d
It will take Kylie more than 7 days to read more than 194 pages.
100
Suppose you are testing 2 fertilizers on bamboo plants A and B which are growing under identical conditions. Plant A is 6 inches tall and growing at a rate of 4 inches each day. Plant B is 10 inches tall and is growing at a rate of 2 inches each day.
Write a system to describe this situation where the height of plant A is A, the height of plant B is B and the number of days is d.
A = 6 + 4d or A = 4d + 6
B = 10+2d or B = 2d + 10
100
Solve the system and write your answer as a coordinate.
y = 3x + 3 and y = 6x + 3
(0,3)
200
Ms. Peterek is baking 80 cookies for a holiday party. She intends for each guest at the party to eat 2 cookies.
Write an explicit rule for the number of cookies remaining, C, based on the number of guests that attend the party, g.
C = -2g + 80
200
Ms. Peterek is baking 80 cookies for a holiday party. She intends for each guest at the party to eat 2 cookies.
How many guests can come in order to have at least 30 cookies left after they all eat?
25>=g or g<=25
200
Terrance got a holiday season job at Target as a gift-wrapper. Before he started his shift there had already been 18 gifts wrapped. After 1 hour there were 33 gifts wrapped and after 2 hours there were 48 gifts wrapped.
Solve the following inequality and explain the solution in the context.
108 < 15h + 18
6< h or h>6
200
Hamster Heaven charges an annual fee of $20 plus $2.50 for each day of hamster activities you attend. Hamster Fun World charges an annual fee of $35 plus $1 for each day of hamster activities you attend.
Write a system to describe this situation where the total fee for Hamster Heaven is H, the total fee for Hamster Fun World is W, and each day is d.
H = 20 + 2.50d or H = 2.50d + 20
W = 35 + 1d or W = d + 35
200
Amy and Diane are making presentations for a class project. Amy's slideshow starts with a verbal introduction that is 10 seconds long, and then each slide is left up for 7 seconds. Diane leaves each slide on screen for 5 seconds, and her introduction lasts 20 seconds. Amy and Diane notice that their presentations have both the same number of slides and the same duration. How many slides does each presentation have?
5 slides
300
Terrance got a holiday season job at Target as a gift wrapper. Before he started his shift there had already been 18 gifts wrapped. After 1 hour there were 33 gifts wrapped and after 2 hours there were 48 gifts wrapped.
Write an explicit rule for the total number of gifts that have been wrapped, G, after h hours of Terrance’s shift.
G = 15h + 18
300
Terrance got a holiday season job at Target as a gift wrapper. Before he started his shift there had already been 18 gifts wrapped. After 1 hour there were 33 gifts wrapped and after 2 hours there were 48 gifts wrapped.
How many gifts will be wrapped if Terrance works at most 7 hours?
P<=123 or 123>=P
300
Ms. Peterek is baking 80 cookies for a holiday party. She intends for each guest at the party to eat 2 cookies.
Solve the following inequality and explain the solution in the context.
C < -2(15) + 80
There will be less than 50 cookies remaining when more than 15 guests attend the party.
300
Emily and Marshall, the boy she was babysitting, were playing basketball together. Her score was 20 points, and his score was 10 points. Emily wanted to make the game fairer, so she called a time-out and modified the rules a bit. Emily explained that, for the rest of the game, she would get 2 points per basket, and Marshall would get 3 points per basket. Then they played a bit longer. After the time-out, they both made the same number of baskets and ended up with a tied score. How many points did they both end with.
40 points
400
Ashley charged her phone to a full 100%, then tracked her battery usage for the next hour. She noticed that after 10 minutes, she had 95% battery and after 30 minutes, she had 85% battery left.
Write an explicit rule for the percent of battery life left, B, after m minutes of using her phone.
B = 100 - 0.5m
400
Ashley charged her phone to a full 100%, then tracked her battery usage for the next hour. She noticed that after 10 minutes, she had 95% battery and after 30 minutes, she had 85% battery left.
How much battery will Ashley have left after more than 40 minutes?
B<80 or 80>B
400
Ashley charged her phone to a full 100%, then tracked her battery usage for the next hour. She noticed that after 10 minutes, she had 95% battery and after 30 minutes, she had 85% battery left.
Solve the following inequality and explain the solution in the context.
B >= 100 - 0.5(60)
Ashley will have at least 70% battery left when she uses her phone for at most 60 minutes.
400
Today, the temperature in New York is -1 degrees and is expected to rise 3 degrees per day. It‛s 6 degrees in Alaska and expected to fall 1 degree every 2 days.
Write a system to describe the situation where the temperature of New York is N, the temperature in Alaska is A, and d is the number of days.
N = 3d - 1 or N = -1 + 3d
A = 6 - 0.5d or A = - 0.5d + 6
400
After how much time will the balloons be at the same height? 
4 minutes