Linear Equation
Statistics
Linear Inequality
System of Equations
System of Inequalities
100
What is the value of x?
x + 4 = -4
x = -8
100
What is the mode of following set? :{1, 2, 3, 3, 4, 5, 5, 18, 5}
mode: 5
100
List three possible value for x:
x+5<3
Answers may vary: -10, -100, -1000
100
Solve for the unknown variables:
y = 2
x+y=10
x = 8
y = 2
100
How to identify the solution for a system of inequalities using graph?
The overlapping region is the solution set.
200
If x represents a given number, the expression "5 less than twice the given number" is written as?
5<2x
200
Describe what a skewed distribution looks like.
The data are focus at one side.
skewed left means most data shows on the right
skewed right means most data shows on the left
200
When to use dotted line and when to use solid line?
Dotted: < or >
Solid: ≤ or ≥
200
Use the elimination method to solve the following:
-4x-2y=-12
4x+8y=-24
x=6
y=-6
200
What is the rule that we have to remember when multiplying or dividing by a negative number with inequalities?
We need to flip the sign
300
Identify the slope and y-intercept of 8x + 4y = -16
slope: -2, y-intercept: -4
300
Explain the different between numerical data and categorical data.
Numerical Data: The data that are in numbers.
Ex: {1,23,10,2}
Categorical Data: The data that are in words.
Ex: { red, blue, yellow}
300
How do we know where to shade when graphing the inequalities?
Shade up if it's: > or ≥
Shade down if it's < or ≤
300
use the substitution method to solve for the x and y: -4x+3y=1
-4x+y=-13
x=5
y=7
300
Is a point on the solid line always a solution to the system of inequalities? Explain your reason.
No, it will be a solution only if it's on the solid line that's next to the overlapping region.
400
Write 2x-2y=2 in standard form.
y = x-1
400
Describe the relationship for gallon of gas in a car and the car travelled distance, given r = -0.97
The gallon of gas in a car are closely related to the distance that the car travelled. As the distance of car travelled increasing, the gallon of gas decreasing.
400
Solve: -2x+6 ≥ 10
x≤-2
400
What are the three ways to solve for systems of equations?
Elimination
Substitution
Graphing
400
Write a System of Inequalities
1. Slope: 1, y-intercept: 3, shading up with dotting line
2. Slope: 1, y-intercept: 5, shading down with solid line.
y>x+3
y≤x+5
500
Sketch a graph for the equation y = 2x + 5.
If your teacher says so
500
The best fit line is given by the equation y=0.467x+0.417, where y represents the distance in miles, and x represents the time for the trip in minutes.
Use the best fit line to estimate the distance for a trip that takes 20 minutes. Round the answer to the nearest tenth.
y = 9.8
500
Lin’s job pays $8.25 an hour plus $10 of transportation allowance each week. She has to work at least 5 hours a week to keep the job, and can earn up to $175 per week (including the allowance). Write the two inequalities to represent the situation
9.25h+10≤175
h≥5
500
A farmhouse shelters 10 animals. Some are pigs and some are ducks. Altoghter ther are 36 legs. How many of each animal are there?
x+y=10
4x+2y=36
pig(x): 8
duck(y): 2
500
Graph:
2x – 3y < 12
x + 5y < 20
Shade above the first line and below the second line.
