REVIEW for TEST

Parallel and PerpendicularSolving Systems of Equations

Write an equation of a line that passes through the given point and is PARALLEL to the given line:

(-1, 3)Y = 2x - 8

Y = 2x + 5

Write an equation of a line that passes through the given point and is PERPENDICULAR to the given line:

(6, -2)Y = -3x + 4

Y= 1/3x - 4

Are the following lines parallel, perpendicular or neither

Y = 6/7 x +4

Y = -6/7x - 5

NEITHER

Are the following lines parallel, perpendicular or neither

Y = -4x + 14

-x + 4y = 14

PERPENDICULAR

Write an equation of a line that passes through the given point and is PERPENDICULAR to the given line:

(2,7)

Y = 1/2x - 11

Y = -2x + 11

Write an equation of a line that passes through the given point and is PARALLEL to the given line:

(-3, 12)

Y = -1/3x + 7

Y = -1/3x + 11

Are the slopes through these points parallel, perpendicular or neither:

(5, -3) and (3,7)

(2, 6) and (-3,5)

PERPENDICULAR

Solve the system

4 3 9

2 7

x y

x y

X = 3

Y = -1

Solve the system

3 0

5 2 44

x y

x y

X = -4

Y = -12

Solve the system

4 1

2 13

x y

x y

X = 9

Y = 2

Solve the system

2 4 18

4 6

x y

x y

X = 8

Y = 1/2

Solve the system

3 5 16

3 8

x y

x y

X = 4/3

Y = 4

Solve the system

3 8

4 2 4

x y

x y

X = 2

Y = 2

Solve the system

3 2

6 2 16

x y

x y

X = 5/3

Y = 3

Solve the system

4 5 6

2 2 4

x y

x y

X = 4

Y = 2

The sum of two numbers is 125 and their difference is 47. Find each of the numbers.

39 and 86

The sum of two numbers is 23 less than twice the first number. Their difference is 19 less than twice the second number. Find each number

44 and 21

The perimeter of a rectangle is 74cm. The length of the rectangle is 5 cm less than twice the width. Find the dimensions

23 by 14

• The cost of 24 oranges and 15 apples is $12.36. Fifteen oranges and 12 apples cost $8.67. Find the cost of each apple and orange.

$0.90 and $1.35