Semester Exam Review

Slope-Intercept Form

100

Write the following equation in slope-intercept form.

x - 3y = 6

y = 1/3 x - 2

200

What is the x- intercept for the following equation?

2x + 3y = 6

x-intercept is (3, 0)

300

What is the y-intercept for the following equation?

2x - 3y = -10

y-intercept is  ( 0 , 10/3)  or  ( 0 , 3  1/3)

400

Find the slope of the line given the following table of values

X       1        -4     -3       2

Y       3         3      3        3 

slope is

m = 0/-5 = 0

500

Solve the system of linear equations by graphing.

2x - 2y = -6

-x -y = -3

infinitely many solutions

Solving Equations

100

Solve.

2w - 4 = 3w

w = -4

200

Solve.

5x - 1 = 7x +5

x = -3

300

P = 2L +2W

Solve for W

W = P - 2L/ 2

400

20( 7 - d ) + 11d = 113

d = 3

500

-24x -12 = 4y -12x

Solve for y

y = -3x -3

Fraction Equations

100

1/2( 6x + 4 ) = 5(2x -8)

Solve.

x = 6

200

3/2 ( d + 12) = 1/2( 2d - 6) 

Solve.

d = -42

300

h/-3   + 2 = 1

h = 3

400

2/3b - 1/3b + 12 = 16

b = 12

500

-2/7 = y = 3/4

y = -29/28   or -1 1/28

Polynomials

100

Find the sum.

( y + 5) + (3y - 9)

4y -4

200

Find the difference.

( -3d²  = d - 3 ) -  ( -5 + 3d )

-3d² - 2d + 2

300

Find the difference.

( 2x² + 6x - 11)  - ( 5x² - x + 7) 

 - 3x² + 7x - 18

400

Find the product

( 9x - 7)( 5x + 9) 

45x²  + 46x - 63

500

(d - 3) ( d² + 5d - 1)

d³ + 2d² - 16 d + 3

Radicals

100

sqrt(75)

5sqrt(3)

200

-5sqrt(243)

-45sqrt(7)

300

sqrt(8) - sqrt(32)

-2 sqrt 2

400

sqrt 54 + sqrt 36 + sqrt 24

5sqrt6 + 6

500

-3sqrt18 + 3sqrt18 - sqrt24

-3sqrt2 - 2sqrt6