Linear Equations
Linear Inequalities
Systems of Linear Equations and Inequalities
Misc.
100
What is slope-intercept form?
y = mx + b
100
When graphing y > -2/3x+1 . Should you have a solid or dotted line, and should you shade above or below the line?
What is dotted and above.
100
How many solutions does the system have?
What is 0 solutions
100
When graphing y <= -2/3x+1 . Should you have a solid or dotted line, and should you shade above or below the line?
What is solid and below?
200
Solve for x: 2x + 3 = 11.
What is x = 4?
200
Solve this inequality for n: 14<n-22
What is 36 < n
200
Where is the solution to a system of linear inequalities?
Where the shaded regions overlap.
200
What is the slope of the line y = 3x + 5
What is 3.
300
Solve for x: 2(x + 5) - 3x = 7.
What is x = 3?
300
Is the point (0, 2) a solution to the inequality
2y-x>1
Yes
300
A hairstylist charges $15 for an adult haircut and $9 for a child haircut. She wants to earn at least $360 dollars and cut a maximum of 30 haircuts this week. The graphs represent the hairstylist’s constraints.
List one point that could represent the number of adult and child haircuts that meet the hairstylist’s goals.
Anything in the solution region.
300
The gardening club at school is growing vegetables. The students want to plant some of each type of plant and have at least 60 plants.
Let c represent the number of cucumber plants, and t represent the number of tomato plants.
Write an inequality to represent the situation
What is c+t>=60
400
Solve the given equation for x: -x/b=40
x = -40b
400
Solve for x: 7x+6<=3x+2
What is
x <= -1
400
A student has started a lawn care business. He charges $15 per hour to mow lawns and $20 per hour for gardening. Because he is still in school, he is only allowed to work for at most 20 hours per week. His goal is to make at least $300 per week.
Create a system of inequalities that models the situation. Define the variables you use.
15x + 20y >= 300
x + y <= 20
400
What is the y-intercept of the equation: 12x - 4y = 20
What is (0, -5).
500
What is 3x-5y = 15 in slope-intercept form?
What is y = 3/5x-3
500
(x+3)/6>x/4+1. Find a value of x that is a solution to the given inequality.
What is any value less than -6
500
Solve the System:
3x-2y=5
x + y = 5
What is x = 3, y = 2?
500
The gardening club at school is growing vegetables. The club has 300 square feet of planting beds. Cucumber plants require 6 square feet of growing space, and tomato plants require 4 square feet of growing space.
Let c represent the number of cucumber plants and t represent the number of tomato plants.
Write an inequality to represent the growing space constraint.
What is 6c+4t<=300