Quadratic Expression

Answer this question

1. Show that the quadratic f(x)=3x^2 - 6x+7 is always positive for all values of x.

2. Express x^2-4x+7 in the form a(x+p)^2+q and sketch the curve.

3. Express -x^2-2x+3 in the form a(x+p)^2+q and sketch the curve.

4. Write the following quadratic expressions in completed square form and sketch the graphs.

(a) x^2+4x+9

(b) 3x^2-18x-25

Happy trying...

Simultaneous Linear Equation

Answer all the following simultaneous linear equations:

1. x+y=2
2x- y=7

2. p - q=-6
p+3q=-2

3. 4m-n=3
2m+n=0

4. Given y=2x-5
(a) Find y when x=2
(b) Find x when y=o

5. Given h=(1/2)m +3
(a) Find h when m=10
(b) Find m when h=0


Enjoy trying!

DECIMALS : Addition and Subtraction

When you add or subtract 2 decimals, aligned the number according to its place value. Retain the decimal point.

Try the following question.

1. Find 2.5 + 1.3

2. Calculate 12.8+0.22

3. Calculate 8.4+7.2

4. Calculate 15+9.4

5. Find 12.01+0.38+270.781

6. Find 2.6-1.4

7. Find 12-3.7

8. Find 28-12.75

9. Find 24.75-12.86

10.Find 125.78-64.8-30.5

Good luck !

Linear Equations

Solve the following linear equations.

1. x-7=0

2. p+3=0

3. 2m-3=0

4. 3p-(1/3)=0

5. 5k-1 =1

6. 7n=2-3n

7. k=21-2k

8. (k-3)/7 =3

9. (5k-2)/2=9

10. 7m-5=2m+7

Enjoy trying!

Algebraic Expressions

Simplify the following

1. 2h+2y+3h+y

2. -7p+8p-12p

3. (1/2)x+(1/3)x

4. (5/8)p-(1/3)p

5. (2x^2y)/(xy)

6. 2p-3m+p-m

7. 3mn x 3m^2n

8. (1/3)hp^2 x 24hp

9. (1/2)(12xy-6pq)

10. (10mn)/(5mn)

Integers : Combined operations

Answer all of the following

1. -17+5-12

2. -23+5(7-5)

3. 23-4(18-15)

4. (-8)+(-7)+(-5)

5. (-8) - (-12)

6. (-27)/(-3)+(-4)

7. (-45)x3/(-5)

8. -65/(-5)x(-2)

9. -8-(-2)-(-7)

10. 41-25+17-33

-hbo

POLYNOMIAL

Answer all of the following

1. Given that a polynomial P(x) = x^3-6x^2+11x-6.

(a) Show that x-1 is a factor of the polynomial.

(b) Hence, factorise P(x) and solve P(x)=0


2. Given that f(x) = (x-2)/(x+1)(2x-1).
Find the set of values for f(x)<0.


3. Express 1/((x+2)(x-3)) in partial fractions.

4. Express (x^2-x+5)/((x^2+x-2) in the form A + B/(x+2)+c/(x-1).

Email me your answer at huffy64@gmail.com