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Maths CAPS/IEB algebraic expressions part 1

Total questions: 22

Worksheet time: 1hrs 4mins

Name
Class
Date
1.

State whether it's Rational or Irrational

0,25

a)

Rational

b)

Irrational

2.

State whether it's Rational or Irrational

-2

a)

Rational

b)

Irrational

3.

State whether it's Rational, Irrational or Neither

16\sqrt[]{-16}

a)

Rational

b)

Irrational

c)

Neither

4.

State whether it's Rational or Irrational

0,543215432154321

a)

Rational

b)

Irrational

c)

Neither

5.

State whether it's Rational or Irrational

0,793115648518346

a)

Rational

b)

Irrational

c)

Neither

6.

State whether it's Rational or Irrational

π3\frac{\pi}{3}

a)

Rational

b)

Irrational

c)

Neither

7.

State whether it's Rational or Irrational

916\sqrt[]{\frac{9}{16}}

a)

Rational

b)

Irrational

c)

Neither

8.

State whether it's Rational or Irrational

1,757575....1,757575....

a)

Rational

b)

Irrational

c)

Neither

9.

Round off to 2 decimal places

4,31437

(a)  

10.

Round off to 1 decimal place

9.998

(a)  

11.

Round off to 3 decimal places

12,07963

(a)  

12.

Between which two integers the following number lie

50\sqrt[]{50}

* write answer for example -> 2 and 3 or -5 and -7

(a)  

13.

Between which two integers the following number lie

453\sqrt[3]{45}

* write answer for example -> 2 and 3 or -5 and -7

(a)  

14.

Between which two integers the following number lie

54-\sqrt[]{54}

* write answer for example -> 2 and 3 or -5 and -7

(a)  

15.

Which set builder notation represents the image

a)

{x:x3;xϵR}\left\{x:x\le3;x\epsilon R\right\}

b)

{x:x3;xϵR}\left\{x:x\ge3;x\epsilon R\right\}

c)

{x:x<3;xϵR}\left\{x:x<3;x\epsilon R\right\}

d)

{x:x>3;xϵR}\left\{x:x>3;x\epsilon R\right\}

16.

Which set builder notation represents the image

a)

{x:2x11;xϵR}\left\{x:-2\le x\le11;x\epsilon R\right\}

b)

{x:2<x11;xϵR}\left\{x:-2<x\le11;x\epsilon R\right\}

c)

{x:2x<11;xϵR}\left\{x:-2\le x<11;x\epsilon R\right\}

d)

{x:2<x<11;xϵR}\left\{x:-2<x<11;x\epsilon R\right\}

17.

Input the interval notation shown correctly for example -> [2;3] or (2;3) or [-2;-3)

(a)  

18.

Input the interval notation shown correctly for example -> [2;3] or (2;3) or [-2;-3)

(a)  

19.

Use the instructions on the image to answer and always begin with terms of highest exponent involved*

(3y1)(2y+4)\left(3y-1\right)\left(2y+4\right)

(a)  

20.

Use the instructions on the image to answer and always begin with terms of highest exponent involved*

(2x3+7y)(x32y)\left(2x^3+7y\right)\left(x^3-2y\right)

(a)  

21.

Use the instructions on the image to answer and always begin with terms of highest exponent involved*

(83n2)(4+n)(n3)(n2+3n+9)\left(8-3n^2\right)\left(4+n\right)-\left(n-3\right)\left(n^2+3n+9\right)

(a)  

22.

Use the instructions on the image to answer and always begin with terms of highest exponent involved*

(5a2b)2\left(-5a-2b\right)^2

(a)