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MYP3 Algebra KWL pre-knowledge quiz

Total questions: 19

Worksheet time: 38mins

Name
Class
Date
1.

Simplify: 3bc×2ab-3bc\times2ab  

a)

 5abc5abc  

b)

 6ab2c6ab^2c  

c)

 6ab2c-6ab^2c  

d)

 6(abc)2-6\left(abc\right)^2  

2.

Simplify 2ab28ab\frac{2ab^2}{8ab}  


a)

 b4\frac{b}{4}  

b)

 14b\frac{1}{4b}  

c)

 a4b\frac{a}{4b}  

d)

 b4a\frac{b}{4a}  

e)

 14b\frac{1}{4}b  

3.

Simplifying 4ab7a2b+2bba+2a2b4ab-7a^2b+2b-ba+2a^2b  leads to (a)  


(Use ^ to write powers:  x2x^2  = x^2)

4.

Expand, simplifying if possible: 3(x+3)-3\left(x+3\right)  


a)

–      3       (x           +          3       )

b)

 3x + 9-3x\ +\ 9  

c)

 3x 9-3x\ -9  

d)

 3x  3-3x\ -\ 3  

5.

Expand, simplifying when possible: 2x(5x)2x\left(5-x\right)  leads to (a)  


(Use ^ to denote a power:  x2x^2  = x^2)

6.

Simplify 9xy4x(2x+y)9xy-4x\left(2x+y\right)  


a)

 9xy6x+4xy9xy-6x+4xy  

b)

 5xy6x25xy-6x^2  

c)

 5xy+8x25xy+8x^2  

d)

 5xy8x25xy-8x^2  

7.

Solve the equation: 2x+3=92x+3=9  




(a)  

8.

Solve 56x4=2\frac{5-6x}{4}=2  




(a)  

9.

Solve: 8x3=5x+98x-3=5x+9  




(a)  

10.

Solve 5(3x+2)=2(9x4)5\left(3x+2\right)=2\left(9x-4\right)  




(a)  

11.

Factorise fully 5x10xy5x-10xy  


a)

 5(x2xy)5\left(x-2xy\right)  

b)

 5x(12y)5x\left(1-2y\right)  

c)

 10(xy+12x)-10\left(xy+\frac{1}{2}x\right)  

12.

 x2+10xy9xx^2+10xy-9x  fully factorised is (a)  

13.

 x2+6x+8x^2+6x+8  fully factorised is (a)  

14.

Solve this inequality: 32x<73-2x<7  


a)

 x<2x<-2  

b)

 x>2x>-2  

c)

 x>2x>2  

d)

 x<2x<2  

15.

 4x5+19\frac{4x}{5}+1≥9  has the solution set (a)  

16.

 5(x+2)65\left(x+2\right)≤6  has the solution set (a)  
(press Option < if you want  \le  )

17.

If the area, A, of a trapezium is given by: A=12(a+b)hA=\frac{1}{2}\left(a+b\right)h  

Evaluate the area when  a=5, b=9a=5,\ b=9  and  h=8h=8  



(a)  

18.

If rearranging the formula A=12(a+b)hA=\frac{1}{2}\left(a+b\right)h  

to make  bb  the subject, which of these is the INCORRECT answer?

a)

 2Aha\frac{2A}{h}-a  

b)

 2Aahh\frac{2A-ah}{h}  

c)

 2Ah2a\frac{2A}{h}-2a  

d)

 2Aha2\frac{A}{h}-a  

19.

The simultaneous equations 7x2y=87x-2y=8  and  y=3x2y=3x-2  can be solved by substitution to give the answers:

(Give the answer as:        x=... , y=... )



(a)