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1.Is this statement true or false? (Motivate your answer.) There is no progression in number sentences from Grade 4 to Grade 6.

2.Is this statement true or false? An algebraic expression is a mathematical sentence that contains two sides, with an unknown and an equal sign between the two sides. Motivate your answer.

3Complete the sentence:

The methods learners use to solve number sentences in the Intermediate Phase are ...


4. Inverse operations is a concept that needs to be

understood because it is often used in algebra to

solve variables.

We explain inverse operations as applied in numerical

statements. Inspect the following example of a

numerical equation, which is later translated into an

algebraic equation:

21 × 5 - 10 = 95

21 × 5 = 95 + 10 (Add 10 both sides of =.)

21 = (Divide by 5 both sides of =.)



Do the following:

Following our example to

the left, work through the

numerical equation below

and then translate it into an

algebraic equation, where you

solve for the unknown value:

35/5+ 13 = 20

The equation would be: y=5x^2-7x+0

  1. Create your equation using the information in the directions. State your equation.
  2. Complete the table below. Show your work.
  3.    Table of Ordered Pairs    x      -2     0     2 , y=?
  4. State in what quadrant or on what axis each ordered pair from part b is located.
  5. Graph your equation and capture a picture of the graph to post to the discussion board. You may use your graphing calculator emulator software or take a digital picture of your graphing calculator screen. The image should be visible in the textbox where you are typing your work. Do not attach it as a file. (Please follow the instructions above for inserting an image into your post.)
  6. What window did you use to graph your equation?
  • State in what quadrant or on what axis each ordered pair from part b is located.
  • Graph your equation, capture a picture of the graph and post it to the discussion board.
  • State the window used to graph the equation.

A common error that learner's make is to write 3/5 for the fraction of the whole represented here. Why do you think they do this? What activity or strategy would yo use to try to address this misconception?


If 20 counters are four fifths of a set, how many counters are in a full set


If 25 counters are a whole set, how many are there in four fifths of the set?


Solve for k in the equation -8 + 44 = -20 + 80 and explain each step.


Draw Dienes block to show how to find the solution to:

a) 56 + 48

b) 90 − 36


Note vector notation: (vector 1;vector 2)


Select the correct answer:


k(k-1) • • • (k-r)(m+1)m• • • 3• 2

_________________________ =

p(p-1)• • • (p-m)(r+1)r• • • 3• 2• 


a) (k;r) / (p+1 ; m)


b) (p;r) / (k+1 ; m)


c) (k;r) / (p ; m + 1)


d) (k;r) / (m+1 ; p)


e) (k; r +1) / (p ; m)


f) (k; r + 1) / (p ; m+1)



Use the correct language to explain the difference between the expressions:

" It is the fifth of December"

" You are the fifth in the row"

" I want a fifth of the pizza"

What types of numbers are we dealing with in these expressions?


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