Linear Equations, Slope and solving for x
What is the slope of the equation y = -x - 14
-1
What is the slope in y= 2 -10x
-10
What is the slope of this graph?
0
What is the slope of the equation y = x - 3?
1
In the coordinate (3 ,2), the x-coordinate is:
3
In the coordinate (6, 7), the y-coordinate is:
7
y=10x+35000
A salesperson receives a base salary of $35,000 and an hourly pay of $10. Write an equation to relate the total amount of money earned to the sales.
Problem #7: Solve x - 3x + 5 = 4x + 11
Answer: x = -1
Problem #9: Solve x + 3x - 4 = 3x - 6
Answer: x = -2
Problem #4: Solve -3x - 4 = 14
Answer: x = -6
Problem #10: Solve 6x + 5 = 9x + 26
Answer: x = -7
Problem #6: Solve -3x + 3 = 4x - 11
Answer: x = 2
Problem #11: Solve 14 = 3x - 2x + 4x - 11
Answer: x = 5
Problem #2: Solve 3x + 1 = 4x - 7
Answer: x = 8
Problem #12: Solve 7x - 4x + 18 = 4x + 9
Answer: x = 9
Problem #8: Solve 4x + 5 = 2x + 23
Answer: x = 9
A negative slope goes ___________.
Downhill
y=40x+2
Henry attended a mandatory 2 hour training for his job. He works 40 hours per week. Write an equation to model the relationship between the number of hours he works and the number of weeks since he started his job.
y=2x+40
In order to become a member of the library-all-star-members club, there is a $40 sign-up fee and a $2 monthly fee. Write an equation in slope-intercept form that models this situation.
y=20x+5
In order to join a gym, there is a $5 registration fee and a $20 monthly fee. Write an equation in slope-intercept form that models this situation.
y=4x+30
In order to join a soccer club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation.
y=5x+20
In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.
y = 5x + 1.5
Mary has $1.50 in her piggy bank. She adds $5 to the piggy bank every week. Write an equation to relate the total amount of money to the number of weeks.
y=1.50x+4
Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.
y=4x+1.50
Suppose that a stroller rents for $1.50 plus $4 per hour. Write an equation in slope-intercept form that models this situation.
A positive slope goes __________.
Uphill
What is the equation of the graph?
y= -4x+2
What is the equation of the graph?
y=-2+4x
What is the equation of the graph?
y=-4-½x
What is the equation of the graph?
y=2x-4
What is the equation of the graph?
y=½x+2
y = 1.5x + 5
Lin is tracking the progress of her plant's growth. Today the plant is 5 cm high. The plant grows 1.5 cm per day. Write an equation to relate the total height to the number of days.
y=30x+4
A company started with 4 customers, and gained 30 customers per week. Write an equation in slope-intercept form that models this situation.
y=0.10x+35000
A salesperson receives a base salary of $35,000 and a commission of 10% of the total sales for the year. Write an equation to relate the total amount of money earned to the sales.
Problem #1: Solve 3x + 5x - 2 = 22
Answer: x = 3
Problem #3: Solve -2x + 5 = 5x - 16
Answer: x = 3
Problem #5: Solve x - 3x + 5 + 4x = 11
Answer: x = 3
