Algebra Answers

1. How can you apply the following in assessing mathematical tasks?

a) Formative assessment

b) Summative assessment

c) Diagnotic assessment

2. How can the assessment point of reference apply in assessing mathematical tasks?

3. Outline and discuss two methods of collecting assessment evidence.

a) Can logico mathematical knowledge be transmitted from teacher to learner while the learner remains passive?

b) Logico mathematical knowledge is acquired through reflective abstraction, depending on the child's mind and the way he/she interprets reality (use mathematical content to discuss the statement)

c) Name ten reasons for assessing learners in mathematics

The ratio of pharmacy technicians on duty at the hospital during for the day vs. night shifts is 32:19. 

1. Express as a percentage how many pharmacy technician staff work the night shift. Round your final answer as a percentage rounded to two decimal places.  

2. Explain in a well-written paragraph the method you’ve used to arrive at your answer. 

3.1. Simplify the following algebraic expressions  -5xy^2 (6xy^2 - 5xy^2 + 6x)?

If a and b are real Numbers such that abs(a) = abs(b) then what is always true:

1. a = b
2. a^2=b^2
3. a^3=b^3
4. none of the above

1.Divide the polynomials using the division method of your choice (long or synthetic)

3x³ - 4x² - + 2x -1 / x - 3

2.Perform the indicated operation for the following:

a. (3x² - 8x + 4) - (6x² + 7x -1)

b. (4x⁷ - 3x⁵ - + 2x + 4) + (12x⁵ - 3x + 2x² + 3)

c. (3x + 4)(5x² - 2x + 3)

d. (3 + 4i) + (1-2i)

e. (2-i) (5-6i)

f. (3-7i) ( 1-2i)

3.Solve x² + 81= 0

4.Solve ³ square root of 7x = 3

1.Factor using difference of cubes (a-b)(a²+ab+b²)

8x³-27

2.Factor by grouping 2x³+7x²+2x+7

3.List the possible roots using the Rational Root Theorem x= +- p/q where q is the leading coefficient and p is the constant

f(x) = 3x⁵ - 2x² - 7x + 4

1.Use log properties to condense:

a. log₈x + log8p

b. log_x1= 0

2.Rewrite into log form:

a. 5^x = 25

b. 1³/4 = 1/64

3.Solve 6^3x+5= 6^x-2

1.Sketch the graph that represents y=6log(x-7) + 2

https://lh4.googleusercontent.com/vEwh848sXA94dOj_DL12sGCfgXDI3l8rjJhXKAjI_Q-Uchbs3kZsaPRPgLOrj6n69i3veT3nJJ8MUKBNFzUUA9JTemem1lvlvg_2BzTPGMVF7ls1pB7MjvRowIpBE_9sBu-fNUUQ

2.Write the equation of the parent function y=³sqaure root of x includes the following transformations

a. Vertical compression of 1/5

b. Left 5

c. Down 8

Equation:

3.Use log properties to expand

a. log₇10x

b. log₂(x/5)

1.Use this graph to answer the following: https://lh4.googleusercontent.com/WB6MQ2Wuc0kVCabSLkWrLuknlJTKyIKdrZfJV_Niqbt0HazEBZoyHVynQ9l4h47wveKHNI-fhmufcBLBCXcv47V2lXBrx7sTp1uXsIo

a. Equation of the asymptote:

b. Domain:

c. Range:

2.Do these graphs represent inverses? Why or why not?

https://lh6.googleusercontent.com/fpjsPVGx0njECAS_VQ4RrhjxnP9n-bHGj3ijRVYza6y-tFi5gml-9fcIu3-HBRyMxwYtsZLrrzZXskbvo3iPWzKLbZSrjpbCh243UDY

Circle one: Inverses or Not Inverses

Because...

3.Do these graphs represent inverses? Why or why not?

https://lh6.googleusercontent.com/mOh820YvkTAMm_Xmo07ZLm6Q4HK5Vii1tSRJE4FQHPzVH2FPcPtR_TlSu9BeNMF_joNpAa3NK14Sy7xC40DopYXrX7Xdr_mIWUPItHY

Circle one: Inverses or Not Inverses

Because...