Unit 1-5

Fluencies and Equation Solving

100

Solve the following: 

(-13)+12

-1

200

Simplify the following: 

x - 9 - 8x - 2

-7x - 11 

300

Simplify the Following: 

13 - 2(6k-8)+k

29 - 11k

400

Determine if the following equation is an Infinite Solution, One Solution or No Solution :

x - 12 + 3x = 4x - 12

Infinite Solution 

500

Solve for x : 

-4x - 2(8x+1)= 1(-2x - 10)

x=1

Linear Functions

100

Does the point (-6, 4) make the equation 8x+2y=-32 true? Explain.

No because when you substitute -6 in for x and 4 in for y, the answer is -40 and not -32

200

What are the 3 ways to solve for slope?

delta y over delta x

Rise over Run

y2-y1 over x2-x1

300

What is the slope of the equation? (HINT: Isolate y) 

21x - 3y = 9

Slope= 7

400

Use the points 

(0,-3) and (3, -7) to calculate the slope.

-4/3

500

Determine the equation of the line that goes through points 

(3,2) and (5,-4).

y=-3x+11

Systems of Equations

100

What are the 4 ways to solve systems of Linear Equations? 

Graphing, Substitution, Elimination and Inspection

200

Solve this system of linear equations using substitution:

y=5x+20

y=10x+5

(3,35)

300

Solve the systems of equation below: (HINT: Use Elimination) 

3x - 5y= -16

2x + 5y= 31

(3,-5)

400

What is the solution of this system of linear equations? (HINT: The answer in not a coordinate point, use Inspection)

2x+3y=10

-2x-3y=-10

Infinite solution because both sides of the equal sign, are equal. 

500

Solve this system of linear equations using substitution:

-5x+6y=17

-4x+y= -13

(5,7)

Exponents and Scientific Notation

100

Simplify the following expression: 

y8∙y=

y9

200

Simplify the following expression: 

x4 ∙ a2 ∙ x ∙ a3=

x5 ∙ a5

300

Simplify the following expression: 

(3^4)(3^2)

3^6

400

Simplify the following expression: 

3^7/3^5

3^2

500

Simplify the following expression.

(8x^3)^4

8^4 x^3

Functions, Statistics and Volume

100

Determine whether the following relations are examples of functions. Explain why. 

 {(6, –7), (5, –8), (1, 4), (7, 5) }

Yes, because for every input, there is only one output. 

200

Determine whether the following relations are examples of functions. Explain why.

{(4, 2), (1, 1), (0, 0), (1, –1), (4, –2)} 

No because for the input of 4, there are 2 outputs. 

300

If a line has a positive association, is the slope positive or negative? 

Positive Slope

400

If a line has No Association, is the slope positive, negative or zero slope?

Zero Slope

500

What are the 3 types of association? 

Positive, negative and no association.