F&M midterm review

coordinate planes

100

identify the slope of the line passing through the points (1,2) and (4,8)

2

200

write the equation in point slope form with a slope of 2 passing through the point (4,7)

y-7=2(x-4)

300

Give an example of a line parallel to y=1/2x + 5

y = 1/2 x ______

400

write the equation of a line passing through the point (-1,5) and )-3,1) in standard form

2x-y=-7

500

give an example of a line perpendicular to y=1/2x+5

y=-2x+5

Functions

100

given the function f(x) = x² + 9x

find f(7)

112

200

find the x & y intercepts of the equation.  write as an ordered pair.

x intercept = (4/3, 0)

y-intercept = (0,-3/2)

300

State the domain and range of this relation:

(-3,3), (0,7), (1,-5), (2,4)

D (-3, 0, 1, 2)

R (3, -7, -5, 4)

400

solve using the square roots property

x²=n

-2x² - 196 = 0

7i radical 2

500

solve by completing the square: 

2x^{2 +} 8x + 134 = 0

x = (-2+3i radical 7)

simplifying equations

100

y/2 = 10

20

200

simplify:

5y - 5 = 20

5

300

what is the solution to 2n - 4p +8 - 3n +2p - 2

-n - 2p + 6

400

what is the solution to d³ + y² + d^{2 +} 5y²

d³ + d² + 6y²

500

simplify:

5y^{2 +} 3y + 6y² + 2y

11y² + 5y

complex #s

100

simplify 

21+i

______

3i

-4

200

-10 belongs to which subsets:

a. natural

b. whole

c. integer

d. rational

integer 

rational

300

(i radical 7)²  (2i)

-14i

400

simplify:

2 radical 5 + 3 radical 20

4 radical 5

500

(5 radical 2) (3 radical 5)

15 radical 10

randomness

100

solve using the quadratic formula

x^{2 +} 12x = 7x +1

-5 +/- radical 29

______________

2

200

simplify

(2c²d⁴)³

8c⁶d¹²

300

convert to a rational exponent

(the 5th root of y)³ 

(see board #54)

y^3/5

400

simplify

(y⁶)^-2

1

___

y¹²

500

(n+3)(4n+2)

4n² + 14n +6