Midyear Exam Review

Slope Intercept Form

100

Write the Slope-Intercept form of the line through (4, 0) and (5, -4).

y = -4x + 16

200

Write the Slope-Intercept form of the line through (-2, 4) and (5, 3).

 y=-1/7x+ 26/7 

300

Write the Slope-Intercept form of the line through (2, 3) and parallel to y = -x + 4.

y = -x + 5

400

Write the Slope-Intercept form of the line through (5, -2) and perpendicular to y = x + 2.

y = -x + 3

Rational Expressions

100

Simplify:

(x^2-19x+90)/(7x^2-63x)*(7x)/(2)

(x-10)/2

200

Simplify: 

(x^2-x-72)/(72+x-x^2)*(9x)/(x+1)

-(9x)/(x+1)

300

÷

(1)/(a+5)div(a+9)/(a^2+10a+9)

(a+1)/(a+5)

400

Simplify:

(3n-1)/(n+3) - 4/2

(n-7)/(n+3)

Radical Expressions

100

Simplify: 

(3sqrt(10))/(sqrt(9)

sqrt(10)

200

Simplify: 

-3sqrt(5)+2sqrt(20)-2sqrt(5)

-sqrt(5)

300

Simplify: 

sqrt(3)/(4sqrt(48)

1/16

400

Simplify: 

sqrt(5)(sqrt(5)+ sqrt(10))

5 + 5sqrt(2)

Systems of Equations

100

Solve.

{(-7x,+2y,=28),(-14x,-3y,=7):}

(-2, 7)

200

Solve.

{(5x,-2y,=12),(2x,+y,=12):}

(4, 4)

300

Solve.

{(-8x,+3y,=-14),(16x,-6y,=28):}

infinitely many solutions

400

Solve.

{(-8x,+3y,=-14),(16x,-6y,=32):}

No solution

Quadratic Equations

100

Solve.

x^2-14x+10=-23

x = 11, 3

200

Solve.

x^2+6x-101=-10

x = 7, -13

300

Solve.

x^2-10x-2=-6

x = 5 +-sqrt(21)

400

Solve.

x^2-6x-21=4

3+-sqrt(34)