Math 1

Two-Step Equations

100

Solve for X 

4x - 7 = 9

x= 4

200

5(n+4)-(n+7)=-11

n=

n=-6

300

2(k+4) = 3(k-2)

k=

k=14

400

n-6 /3 = n-2 /9

n=

n=8

500

10 / 2x + 4 = 4/ x+5

x = 

x =-17

Relations and Functions

100

Use the relation (-3,3) (1,1) (0,-2) (1, -4) (5, -1) and state the domain and range.

D= (-3,0,1,5)

R=(-4,-2,-1,1,3)

200

Draw a graph including all quadrants and label them

II          I 

III         IV

300

In what quadrant are all the coordinates negative in?

Quadrant III

400

What makes the relation a function? Can you show me an example of a function

The relation is a function there is only one output for every input. An example is (2,1) (5,6) (1,2) (4,9)

500

State the domain and range as well as a mapping of the relation. (-2,4) (1,7) (-3,8) 

D (-2,1,-3)

R(4,7,8)

Literal Equations

100

6y-8-6-8y=4

-9

200

-7(x+7)=-56

x+1

300

4/3 = 8/x-1

x=7

400

-4(x+5)= 5/3 (3x-12)

x=0

500

-6(w-4)+8w= 2(w+(9)

No solution

Graphing Equations

100

What is the point called when it intersects the y-axis?

Y-intercept

200

F(x) = -4x + 7; f(1) 

3

300

Find the X- and y-intercepts of the equation y= 3x +6

x= -2 (2,0)

y= 6 (0,6)

400

Graph the function & provide y values.  y= x -3 

(-1, )(1, ) (3, )(5, )

-4, -2, 0, 2

500

Use the function f(x) = 3x-8 and g(x) =x^2+4x-11 to solve:

f(-4) - g (7)

12

Polynomials

100

4x3+2x2−7x+1

is it a polynomial?

yes

200

Factor 

x^2+7x+10

(x+5)(x+2)

300

what is the degree?

5x^4−3x^2+2x−8

4 (because it's the highest exponent.)

400

True or false 

The expression 7x−2+4x+37x^{-2} + 4x + 37x−2+4x+3 is a polynomial.

False because the exponent is negative. 

500

Evaluate 2x3−4x+12x^3 - 4x + 12x3−4x+1

 when x=2x = 2x=2.

2(2)^3−4(2)+1=2(8)−8+1=16−8+1=9