1. Home
  2. Algebra
  3. Algebra
  4. Division in algebra

0.2 Division in algebra  (Page 2/3)

<< Chapter < Page
  Algebra     Page 2 / 3
Chapter >> Page >

6. 0 ÷ 6 = 0

7. The 5 in 5 3 is known as the power.

8. -3>-6

9. The square of van 8 is 64.

10. The coefficient of x size 12{x} {} in 4 x size 12{x} {} y ² is 4.

11. 7( x size 12{x} {} - 2 y ) = 7 x size 12{x} {} - 2 y

12. 2 x size 12{x} {} ² + 3 x size 12{x} {} ² = 5 x size 12{x} {} 4

13. 5 - 2 + (-2) = 1

14. a 6 b 12 3 size 12{ nroot { size 8{3} } {a rSup { size 8{6} } b rSup { size 8{"12"} } } } {} = a 2 b 4

[14]

B. Complete the following:

1. The coefficient of a in 3 ab is …

2. The exponent 5 a + b is ....

[2]

[16]

Question 2

Here matches are arranged to form squares.

1. Complete the following table. [4]

Number of squares 2 3 5 9
Number of matches

2. How many matches are required to build 150 squares? [2]

3. How many squares can be built with 1 000 matches? [2]

[8]

Question 3

A. Supposing a = 3 ; b = -2 and c = 6, determine the value of:

1. 2 a (3 b + 5 c ) [3]

2. a − b − c b − c size 12{ { {a` - `b` - `c} over {b` - `c} } } {} [4]

B. Addition and subtraction:

1. Add: 3 a + 4 b - 6 c ; -6 b + 3 c + 2 a ; 5 c - 3 b ; a - 2 c [3]

2. Subtract 8 x size 12{x} {} + 2 y + 5 from 10 x size 12{x} {} - 2 y + 4 [3]

[13]

Question 4

Simplify each of the following:

1. 7 a ² b c - 2 ab ²c - 3 ba ²c + a c b ² [2]

2. 5 a ² x 3 a 3 - 3 a 4 x 2 a [3]

3. 3(2 a ² b 3 )² . (- ab ) 3 [4]

4. -5 ab ² (3 a ² - 4 b ) [2]

5. 2 a (7 a + 4) - 3( a + 3 a ²) - ( -4 a ² - a ) [4]

6. ( - 3 ab ) 2 ( 2a ) 3 4 ( ab ) 2 size 12{ { { \( "- 3" bold "ab" \) rSup { size 8{2} } \( 2a \) rSup { size 8{3} } } over {4 \( bold "ab" \) rSup { size 8{2} } } } } {} [4]

7. 14 a 4 b 3 6c 2 × 12 c 4 − 7a 3 b 2 size 12{ { {"14"a rSup { size 8{4} } b rSup { size 8{3} } } over {6c rSup { size 8{2} } } } ` times ` { {"12"c rSup { size 8{4} } } over { - 7a rSup { size 8{3} } b rSup { size 8{2} } } } } {} [3]

[22]

Question 5

Supposing A = a ² b + 5 ab ² - 6 ab and B = ab , determine the following:

5.1 A B size 12{ { {A`} over {B} } } {} [3]

5.2 3A B size 12{ { {3A`} over {B} } } {} [4]

5.3 A + B B size 12{ { {A`+`B`} over {B} } } {} [4]

[11]

TOTAL: 70

Algebra Tutorial

I demonstrate knowledge and understanding of: Learning outcomes 0000 000 00 0
1. different terms that can be distinguished in a polynomial; 2.4; 2.8.2; 2.9
2. identifying the coefficient of an unknown; 2.4; 2.9
3. identifying the constant in a polynomial; 2.4; 2.9
4. determining the degree of an expression; 2.4; 2.8.1; 2.9
5. arranging the expression in a descending order; 2.4; 2.9
6. the correct usage of signs ( + / - ) in an expression; 2.4; 2.8.4&.6
7. algebraic expression; 2.2; 2.4; 2.8.4
8. determining the formulas of flow diagrams and tables; 2.1&.3; .4; .7
9. adding and subtracting of numbers; 2.4; 2.8.2&.4
10. writing expressions in exponent form; 1.6.3; 2.4
11. solving expressions that have brackets; 2.4; 2.8.3&.5
12. the correct usage of the order of calculations; 2.4; 2.8.5
13. substitution of unknowns with constant values; 2.4; 2.8.4;1.6.2&.3
14. expressing fractions in their simplest form; 2.2; 2.4; 1.6.2
15. expressing algebraic fractions in their simplest form. 2.4; 1.6.2; 2.8.3
16.
17.
The learner’s … 1 2 3 4
work is… Not done. Partially done. Mostly complete. Complete.
layout of the work is… Not understandable. Difficult to follow. Sometimes easy to follow. Easy to follow.
accuracy of calculations… Are mathematically incorrect. Contain major errors. Contain minor errors. Are correct.
My BEST marks: Comments by teacher:
Date :
Out of:
Learner :
Signature: Date :

Parent Signature: Date :

Test 2: (Algebra)

Total: 60

1. Simplify:

1.1: 17 a ² b c - 21 ab ²c - 3 ba ²c + 4 a c b ² [2]

1.2: 5 a ² x 3 a 3 - 3 a 4 x 5 a [3]

1.3: 7 ab - (-4 ab ) [2]

1.4: 3(2 a ² b 3 ) 3 . (- a ² b ²) 3 [3]

1.5: -7 ab ²(3 a ² - 5 b ) [2]

1.6: 5 a (3 a + 5) - 2(2 a + 4 a ²) - 2 a (-3 a ) [4]

1.7: ( -2 ab ) 2 ( 3a ) 3 4 ( ab 2 ) 2 size 12{ { { \( "-2" bold "ab" \) rSup { size 8{2} } \( 3a \) rSup { size 8{3} } } over {4 \( bold "ab" rSup { size 8{2} } \) rSup { size 8{2} } } } } {} [4]

[20]

2. If a = 3 ; b = -2 and c = 6, determine the values for:

2.1 3 a (2 b + 4 c ) [3]

2.2 a - b - c b + c size 12{ { {a" - " bold "b "" - "c} over {b`+`c} } } {} [4]

2.3 3c a . b . c size 12{ { {3c} over {a "." b "." c} } } {} [3]

2.4 9a 5 -3 a 3 size 12{ { {9a rSup { size 8{5} } } over {"-3"a rSup { size 8{3} } } } } {} [3]

[13]

3. Given: 5 a ² - ( m + n ) a - 5 p

3.1 How many terms are there in the above expression? ......................... [1]
<< Chapter < Page Page > Chapter >>

Read also:

Get Jobilize Job Search Mobile App in your pocket Now!

Get it on Google Play Download on the App Store Now




Source:  OpenStax, Algebra. OpenStax CNX. Aug 17, 2012 Download for free at http://cnx.org/content/col11445/1.1
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Algebra' conversation and receive update notifications?

Ask