Slope
Equations
Inequalities
Calculator
Vocabulary Terms
100
What is the slope of the line that passes through the points M (-3,5) and N (1,8)?
3/4
100
What is the solution to this equation?
5x + 4 = 3x + 12.6
x=4.3
100
Katie wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Katie makes $12 for each dog that she walks.
Which inequality could help you find how many dogs Katie would have to walk to reach her goal?
25 + 12x ≥ 200
100
How do you put an equation in the calculator to solve?
Put one equation in y1, the second in y2, graph, 2nd calculate, #5, enter, enter, enter.
100
What is the rate of change also called?
Slope
200
Examine this graph. What are the y-intercept and slope of this line?
y-intercept=2
Slope 2/-3
200
What is the solution to this equation?
7x + 3 = 10x - 5.4
2.8
200
Solve the inequality.
x + 5 ≤ 13
x ≤ 8
200
Can you solve an inequality in the calculator?
No, because the equations aren't equal.
200
What equation do you use to find slope from ordered pairs?
m=y2-y1/x2-x1
300
The table below shows the profit earned from ticket sales at a recent football game.
Tickets Sold Profit
50 162.50
100 325.00
150 487.50
200 650.00
When this data is graphed on a coordinate grid, the points on the scatterplot will lie in a straight line. If a line of best fit is drawn through the points, what will be the slope of this line?
3.25
300
John and Jane went to a bakery to get cookies for a party. Jane bought x cookies that were $3 each. John bought x cookies that were on sale for $1 plus he got a small cake for $10.00. If John and Jane both spent the same amount of money, write an equation that shows how many cookies, x , they purchased.
3x=x+10
300
A local bakery has a daily operating cost of $1800 plus a cost of $10 per cake they make. If a cake sells for $15, which equation could be used to determine the minimum number of cakes, c, they must sell each day to earn a profit?
15c > 1800 + 10c
300
If you receive an error code while trying to graph your equations, what should you do first?
Check your equations are the same as in your question.
300
What is the method we use for finding slope from a table?
change in y/ change in x
400
10 students are standing in a line in the front of the classroom. The teacher has told them to hold hands with the person on either side of them. When she says "go", the first person squeezes the hand of the person on their right. As soon as that person feels the squeeze, they squeeze the hand of the person on their right, etc. The graph below represents the time at which each of the first six students squeezes the hand of the person on their right.
What is the rate of change in the this situation - the seconds per person required for a "hand squeeze" to be passed from one person to the next?
1/2
400
Which situation best represents the following equation?
30 + 4x = 70 + 2x
A. There are two limo companies that charge based on the number of people, x, that they carry. Limo A charges $30 plus $2 per person. Limo B charges $70 plus $4 per person. How many people can ride to make the two companies charge the same amount?
B. There are two limo companies that charge based on the number of people, x, that they carry. Limo A charges $30 plus $70 per person. Limo B charges $4 plus $2 per person. How many people can ride to make the two companies charge the same amount?
C. There are two limo companies that charge based on the number of people, x, that they carry. Limo A charges $30 plus $4 per person. Limo B charges $70 plus $2 per person. How many people can ride to make the two companies charge the same amount?
D. There are two limo companies that charge based on the number of people, x, that they carry. Limo A charges $30 per person. Limo B charges $70 plus $2 per person. How many people can ride to make the two companies charge the same amount?
C. There are two limo companies that charge based on the number of people, x, that they carry. Limo A charges $30 plus $4 per person. Limo B charges $70 plus $2 per person. How many people can ride to make the two companies charge the same amount?
400
Karissa is going water skiing. She can purchase skis for $125 or she can rent skis for $30 an hour. In both cases she must rent a safety flotation device to wear that is $5 per hour. Which inequality shows the number of hours Karissa must ski for the cost of buying skis to be less than renting skis?
A.125 + 5x > 30x
B.125 + 5x < 35x
C.125 + 5x < 30x
D.125 + 5x > 35x
B.125 + 5x < 35x
400
What can we check if we receive an error code while trying to find the intersection?
The window, zoom out, and stat plots are off.
400
What does y-intercept mean?
Its where the line crosses the Y axis.
500
Sandra and Cynthia run on treadmills at the gym. The two lines model the relationship between the miles run and the time elapsed in minutes on a treadmill for each girl.
What are the y-iintercept and slope of each line?
What best describes the relationship modeled on each line?
0- y intercept for both
Sandra slope of 15
Cynthia 5
500
Write an equation for this word problem and solve:
Cassidy went to the movies with some of her friends. The tickets cost $6.50 each, and they spent $17.50 on snacks. The total amount paid was $63. How many people went to the movies?
63= 6.50 x +17.50
x=7
500
Katie wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Katie makes $12 for each dog that she walks.
Which inequality could help you find how many dogs Katie would have to walk to reach her goal?
25 + 12x ≥ 200
500
What information can you find out from the table after placing equations in y equals?
You can find the answer to the equation, the interception, and a value for x and y1, y2.
500
What method do we use to solve an equation?
box X + box