Chapter 4 and 5 Test Review Math 100 ! Name ___________________

Finding the x or y coordinate given an equation and an x or y coordinate.

Complete the ordered pairs for each linear equation given:

1)

�

y = −25x + 3 ! ( 0, ______ ) (– 15, ______ ) ( _______ , –1)

2)

�

−2x + 5y = −10 ( _____ , 0 ) ( –10, _______ ) ( _______ , – 2 )

Finding the slope of a line.

Find the slope of the line that passes through the given pair of points:

3.

�

(−4,−5) (−1,3) ! 4.

�

(−3,−2) (3,–2) ! 5.

�

(−1,−4) (−5,2) ! 6.

�

(4,−2) (4,7)

Find the slope and the y-intercept given the equation of the line.

7.

�

y = −47x +1 ! 8

�

−3x − 4y = 8 !

m =! m =!

y–Intercept = ( 0 , ____) ! y–Intercept = ( 0 , ____)!

Math 100 Chapter 4–5 Test Review ! Page 1 © 2013 Eitel

9. A line has a slope of

�

−45

a) What is the slope of the line parallel to it? ___________

b) What is the slope of the line perpendicular to it? ___________

!Write the equation of the line given the following information. !

10.

�

m = −43

and

passes through (6,−5)! 11.

�

m = 34

and

passes through (−8,−1)! 12.

�

m = 0 andpasses through (4,−3)

13.

�

m is undefined andpasses through (−2,−7)

! 14.

�

passes through (−3,−8) and (0,1)

! 15.

�

passes through (−2,−1) and (−4,2)

Math 100 Chapter 4–5 Test Review ! Page 2 © 2013 Eitel

Graph each of the following:

16.

�

y = −54x + 3! 17.

�

y = 14x − 3! 18.

�

y = 4

x

y

0

x

y

0

x

y

0

19.

�

y = 53x − 4! 20.

�

y = −23x ! 21.

�

x = 2

x

y

0

x

y

0

x

y

0

22.

�

3x + 2y = 6 ! 23.

�

4x − 2y = 8 ! 24.

�

4x − 3y = 6

x

y

0

x

y

0

x

y

0

Math 100 Chapter 4–5 Test Review ! Page 3 © 2013 Eitel

25.

�

y ≥ 32x ! 26.

�

y ≤ −23x −1! 27.

�

y < 12x − 3

x

y

0

x

y

0

x

y

0

28.

�

y ≤ −3! 29.

�

y > −13x ! 30.

�

x ≥ 2

x

y

0

x

y

0

x

y

0

31.

�

4x + y ≤ +1! 32.

�

3x − 4y ≤ 4 ! 33.

�

3x + 2y ≥ 8

x

y

0

x

y

0

x

y

0

Math 100 Chapter 4–5 Test Review ! Page 4 © 2013 Eitel

Solve each system of equations by graphing. List your answers as an ordered pair

�

(x,y)

34.

�

y = 2x − 4

y = −23x + 4

⎧ ⎨ ⎪

⎩ ⎪ ! 35.

�

y = 32x +1

y = 12x + 5

⎧

⎨ ⎪

⎩ ⎪

Solve each system of equations. List your answers as an ordered pair

�

(x,y)

36.

�

− 9x + 6y = 15−3x + 2y = −5⎧ ⎨ ⎩

! 37.

�

2x + 3y = 34x − 2y = −10

⎧ ⎨ ⎩

!

Math 100 Chapter 4–5 Test Review ! Page 5 © 2013 Eitel

38.

�

3x − 5y =114x + 3y = 5

⎧ ⎨ ⎩

! 39.

�

2x + 3y = −85x + 4y = −34⎧ ⎨ ⎩

40.

�

3x − 5y =112x − 6y = 2

⎧ ⎨ ⎩

! 41.

�

x2

+ y6

= −1

−x2

+ y3

= −12

⎧

⎨ ⎪ ⎪

⎩ ⎪ ⎪

Math 100 Chapter 4–5 Test Review ! Page 6 © 2013 Eitel

42.

�

5x + 2y = 5y = −x + 4

⎧ ⎨ ⎩

! 43.

�

−2x − 4y = −6x = −2y + 3

⎧ ⎨ ⎩

44. The total number of cars and trucks that a company owns is 40. Two times the number of cars minus three times the number of trucks is 5. Find the number of cars and trucks.

45. A company has a total of 35 apprentice workers and journeyman workers on a job site. The number of apprentice workers is 7 less than twice the number of journeyman workers. How many of each type of worker are there?

Math 100 Chapter 4–5 Test Review ! Page 7 © 2013 Eitel

Chapter 4 and 5 Test Review Answers

1.

�

(0,3) (−15,9) (10,−1) !2.

�

(5,0) (−10,–6) (0,−2) ! 3.

�

m =83! 4.

�

m = 0!

5.

�

m = −32

! 6.

�

m is und.!

7.

�

m = −47

and the Y - I is (0,1)! 8 .

�

m = −34

and the Y - I is (0,−2) ! 9a.

�

m = −45

9b.

�

m = 54

10.

�

y = −43x + 3! 11.

�

y = 34x + 5! 12.

�

y = −3! 13.

�

x = −2 !

14.

�

y = 3x +1! 15.

�

y = −32x − 4

!16.

�

y = −54x + 3! 17.

�

y = 14x − 3! 18.

�

y = 4

x

y

!

x

y

!

x

y

!

19.

�

y = 53x − 4! 20.

�

y = −23x ! 21.

�

x = 2

x

y

!

x

y

!

x

y

Math 100 Chapter 4–5 Test Review ! Page 8 © 2013 Eitel

22.

�

3x + 2y = 6 ! 23.

�

4x − 2y = 8 ! 24.

�

4x − 3y = 6

x

y

!

x

y

x

y

25.

�

y ≥ 32x ! 26.

�

y ≤ −23x −1! 27.

�

y < 12x − 3

y

x

!

y

x

!

y

x

28.

�

y ≤ −3! 29.

�

y > −13x ! 30.

�

x ≥ 2

y

x

!

y

x

!

y

x

Math 100 Chapter 4–5 Test Review ! Page 9 © 2013 Eitel

31.

�

y ≤ −4x +1! 32.

�

y ≥ 34x −1! 33.

�

y ≥ −32x + 4

y

x

!

y

x

!

y

x

34.

�

(3,2)! 35.

�

(4,7) ! 36. NS or

�

∅! 37.

�

−32,2

⎛ ⎝ ⎜

⎞ ⎠ ⎟ ! 38.

�

(2,−1)

! !

39.

�

(−10,4) ! 40.

�

(7,2) ! 41.

�

(−1,−3) ! 42.

�

(−1,5) ! 43.

�

All Pts on −2x − 4y = −6

! !

44. cars = 25 and Trucks = 15! 45. apprentice workers = 21 and journeyman workers = 14

Math 100 Chapter 4–5 Test Review ! Page 10 © 2013 Eitel