Math 2 Test 3 Review (6.12-6.22)

Perpendiculars

100

Find the equation of the line perpendicular to the line y= 2x + 4 passing through the point (6,2). 

y = (-1/2)x + 5

200

Find the equation of the line perpendicular to the line  y = 5x - 1 passing through the point (0,7). 

 y = (-1/5)x + 7

300

Find the equation of the line perpendicular to the line 2x + 3y = 12 passing through the point (6,1). 

y = (3/2)x - 8

400

Find the equation of the line perpendicular to the line 4x - y = 6 passing through the point (4, -1).

y = (-1/4)x

500

Find the equation of the line perpendicular to the line 3x+2y=7 that passes through the point (−2,5).

y=(2/3)x +(19/3)

Factoring

100

Solve this equation by factoring.
x² - 25x=0

x=0 or x=25 

200

Solve this equation by factoring. 

x² + 4x + 3 = 0

x = -1 and x = -3 

300

Solve this equation by factoring.

9x² = 4

x = 2/3 and x = -2/3

400

Solve this equation by factoring. 

x(x+3) = 18

x = -6 and x = 3

500

Solve this equation by factoring. 

10x² - 13x + 4 = 0

x = 1/2 and x = 4/5

Miscellaneous

100

Find the value of these two equations. 

(1) 5ⁿ=125

(2) 4ⁿ=(1/64)

(1) n= 3

(2) n= -3

200

Solve the equation by factoring. 

8x - x² = 16

x = 4

300

For this function, make a table of values and then draw the graph of the function between the stated x values. 

y = x² + (6/x)  -4≤x≤4

table values: 

x | -4    | -3 | -2 | -1 | 0 | 1 | 2 | 3  | 4 |

y | 14.5 | 7  | 1  | -5 | X | 7 | 7 | 11 | 17.5 |

400

The area of the trapezium is 60 sq. cm. 

Find the value of x. 

The trapezium is on the board with the sides labeled. 

 x = 10

500

I think of a number. Then I square the number and subtract twice the original number. My answer is 120. Find two possible values for the original number. 

x = 12 and x = -10

Circles

100

For the circle labeled A on the board. 

A, B, C, and D lie on the circle. Find the value of x. 

x = 46°

200

Using the circle labeled C on the board. 

A, B, C, and D lie on the circle, centre O. BD is a diameter and PQ is a tangent at the point A. 

Find the angle ABO

ABO = 52°

300

For the circle labeled B on the board. 

A, B, and C lie on the circle, centre O. Find the value of x and the value of y.

x = 76°

y = 52°

400

Using the circle that is labeled A on the board. 

A, B, C, and D lie on the circle. Find the values of y and z.

y = 38°
z = 54°

500

Using the circle labeled C on the board. 

A, B, C, and D lie on the circle, centre O. BD is a diameter and PQ is a tangent at the point A. 

Find the angle BAQ and angle AOB.

BAQ = 38°

AOB = 76°