All By Myself

linear equations

100

32 is what percent of 40?

80%

200

solve for r:

6r=30

r=5

300

Solve the equation.

-2x + 6 = 4x - 2
a: no solutions
b: 0
c: 3

d: 1 / 2
e: 4 / 3

e:4/3

400

 Solve the equation.

-(3x - 1) / 3 - 2(x - 8) / 5 = (x + 8) / 5 - 3 

a: -10
b: 15
c: 17 / 2
d: 37 / 12
e: no solutions

d:37/12

500

Solve the equation.

-(-x - 5) = x - 2 

a: no solutions
b: -5
c: 3
d: 1 / 2
e: 4 / 3

a:no solutions

systems of equations

100

are the systems equivalent?

4x+5y=11                       4x-5y=11

x-y=5                              2x+y=9

no

200

which equations have the solution (1,3)

a)x+y=5 & 2x-y=7

b)2x+y=5 & x-y=2

c)3x+y=6 & 4x-3y=-5

d) (9x+4y)/3 - (5x-11)/2=13-y & 13x-7y=-8

C and D

300

how many solutions does the system have?

6x-3y=5

y-2x=8

exactly one

400

solve for x and y

3y=6-2x

8x=3y-1

x=.5

y=1.67

500

solve for x and y

2x-3y=-19

4x+5y=17

x=-2

y=5

iniqualities

100

what are the x intercepts?

y<2x+1

y<-3(x-1)

1 and .5

200

what is the y intercept?

y>-2+2

y<=3

2

300

what is the solution to 5-x<4?

x>1

400

what is the solution to 4-6x>=-15+1?

x<=3

500

what is the solution to 2x-5<1

x<3

quadratic equations

100

solve for x

x^2-13x+30

x=-2 or x=15

200

solve for x

8x^2=15-14y

x=3/4 or .5/2

300

20x^2-130x=-200

x=5/2 or x=4

400

4x(2x+3)=36

x=3/2 or x=-3

500

27x^2=12

x=-2/3 or x=2/3

exponential functions

100

Which of the following are exponential functions?

1. f(x) = 3e-2 x

   
   

2. g(x) = 2x/2

   
   

3. h(x) = x3/2

   
   

4. g(x) = 15 / 7x

Of these functions, only h(x) is not an exponential function. Remember that the independent variable must appear in the exponent for the function to be exponential.

200

What is the domain of an exponential function f(x) = kbx?

The domain of an exponential function of this form is all real numbers. 

300

2x = 32, What is x?

x = 5

400

5x = 1/125, What is x?

x = -3

500

(1/3)2x = 243, What is x?

x = -5/2