Algebra Answers

To develop essential mathematics skills, the learner should develop the correct use of language of Mathematics. How would you, as the teacher, clarify the meaning of fraction as “part of a whole where the whole is a single object” to a grade 4 learner? Use two different representations to illustrate your answer.

What is equation? does all the equation involve a variable? Give an example of equation with a variable in it and which doesn't have a variable in it.

Find the sums of the following fractions.

1. 1/4 + 1/8

2. 1/2 + 3/10

3. 5/12 + 1/4

4. 2/5 + 4/15

5. 2/3 + 7/15

6. 2/3 + 7/15

7. 8/21 + 3/7

Use any of the models( any of appendices 3.1 to 3.7) for representing fractions to find the sum of the following fractions:

a. 1/6 + 5/6

b. 1/5 + 3/5

c. 2/9 + 5/9

d. 1/8 + 2/8

e. 3/12 + 5/12

Write a short paragraph of about ten lines about your experiences of learning how to work with fractions when you were still at school

a. Arrange the following fractions from biggest to smallest: 5/8; 4/4; 2/6; 3/7; 1/2

b. Compare the following fractions according to the instruction Bellow:

The symbol: < means less then; the symbol > means greater than, and the symbol = means equal to

Fill, in<,> or =

a. 1/2 [ ] 1/3 b. 1/2 [ ] 2/6

c. 1/3 [ ] 3/6 d. 1/2 [ ] 2/3

e. 2/3 [ ] 1/6 f. 5/6 [ ] 2/3

g. 2/3 [ ] 6/6 h. 1/3 [ ] 4/6

I. 4/6 [ ] 1/2 j. 1/2 [ ] 3/3

k. 1/2 [ ] 1/6 l. 5/6 [ ] 1/2

if 2x+3=4.find x

When theTitanic sank in 1912,it weighed 52,310 tons.Its weight years after sinking satisfies the equation

weight = Ae-0.0023t a) How much does the Titanic weigh in 2021?

     b) How many years from now will theTitanic weigh10%of its original weight – 5231 tons?

Marble Arch in London is a monument with three arches – one large and two smaller.

The smaller arches are each 3.66m high at their apex and 1.83 wide at the base.

By modelling these arches as parabolas, taking the bottom left point of the arch to be (0, 0), find an equation describing the arch.

When on parade, the highest point of the standard carried by a man on horseback is 2.8m above the ground. If the standard would pass 30cm horizontally from the left- most point of the arch, would it fit underneath?

1.1For the X-value 1 the Y-value is

1.2 for the X-value the Y-value is 17

1.3 with how many does the y-value increase for x-value

1.4 at 0 on the x-axis the y-value is 1.explain

1.5 why does the graph form a straight (not a curved line)