Download Slope Test Review I. Tell whether the set of ordered pairs satisfies a

Slope Test Review
I. Tell whether the set of ordered pairs satisfies a linear function. If it satisfies a linear function,
write an equation that shows the relationship. (HINT: you may want to write the ordered pairs in
chart form)
a.
{(-2, 6), (-1, 8), (0, 10), (1, 12), (2, 14)} ____________________________
b. {(1,5), (3,9), (5, 14), (7, 20)} ____________________________________
c. {(0, -20), (5, -40), (10, -60), (15, -80), (20, -100)} _____________________
II. Find the x and y intercepts of the following equations.
a.
3x + 6y = 18
x int _________
y int ________
b. -2x + 5y = 10
x int _________
y int ________
c. – 4x – 7y = 28
x int _________
y int ________
III. Graph the following equations using intercepts.
a.
5x – 2y = 10
b. -3x + 4y = -12
c.
6x + 2y = 6
IV. Find the slope of the line that passes through the given points.
1. (3,8) (-4,7)
______
2. (-5.-2) (-7,-4)
______
3. (4,9) (2,9) ______
4. (1,7) (5,2)
______
5. (5,-8) (5,9)
______
6. (8,4) (2,7) ______
V. Identify the slope and y-intercept in the following graphs and write the equation of the line in
slope-intercept form AND standard form.
7.
8.
Slope-Intercept Form: ____________________
Slope-Intercept Form: _______________
Standard Form:
Standard Form:
____________________
____________________
VI. Write an equation in slope-intercept from for the line that satisfies the following conditions.
9. A line with a slope of 6 and a y-intercept of (0,4)
_____________________
10. A line with a slope of 4/5 and a y-intercept of - 5.
_____________________
11. A line with a slope of -2/3 and a y-intercept of (0,-7)
_____________________
12. A line with a slope of -4 and a y-intercept of 6.
_____________________
IV. Identify the slope and y-intercept in the following situations, then write an equation of the line
that satisfies the condition and solve is necessary.
13. A rental car company charges $20 per day and $0.10 per mile. Write an equation to show the cost to rent
the car for one day if you drive x miles. How much would it cost if you drive 120 miles.
Equation: ________________________
Cost for 120 miles: _________________
14. Julio wants to hire a band for his party. They charge $15 per hour and a $50 fee for travel expenses.
Identify the slope and y-intercept and write an equation to show the total cost if the band plays for x hours.
What would be the cost if the band played for 3 hours.
Equation: ________________________
Cost for 120 miles: _________________
15. Write a situation in which the equation 5x + 10 y = 60 would satisfy the conditions.
___________________________________________________________________________________
Linear Equation Review – pg. 2
V. Graph the following equations using the slope and y-intercept
16. y = 3x – 5
1
18. y  x  4
3
17. y = -2x -1
VI. Write the following equations in slope-intercept form, then graph.
19. -2x + 3y = 9
_____________
20. 4x – 5y = 15
______________
VII. Graph the following equations
21. y = 3
22. x = -2
23. x = 7
25. Describe the slope of parallel lines.
24. y = -1
______________________________________________________
27. Describe the slope of perpendicular lines.
________________________________________________
VIII. Write an equation of a line that is parallel and one that is perpendicular to the following functions.
Parallel: ____________________________
2
x4
3
Parallel: ____________________________
Perpendicular: _______________________
Perpendicular: _______________________
29. y 
28. y = 4x – 7
IX. Determine whether the following ordered pair is a solution to the given inequality.
a.
(-4, -3) y < 2x + 8 ________
b. (-2, 6) y > -3x +8 ________
c. (5, 2) 4x – 3y ≤ 14 ________
IX. Graph the following linear inequalities:
30. y > 3x - 1
31.
32.
33. y < -x + 4