AlgeBruh

Expressions

100

 Solve For a/b  X  x/y

a/b  X  x/y = ax/by

200

Solve for 4(6y)

4(6y) = 

(4 X 6) X y = 24y

300

Solve for -15x + 8x 

-15x + 8x =

(-15x + 8x) =

-7x

400

 Solve for  2x + 6y + 7x

2x + 6y + 7x =

2x +7x +6y =

9x +6y

500

Solve for 3a² / 4y X 2y² / 6a

3a² / 4y X 2y² / 6a =

3a² / 4y X 6a / 2y² =

3 X a X a X 6 X a 

4 X y X 2 X y X y =  1/4ay

Factorization & Substitution

100

IF X= 4 Y= 2  CALCULATE THE VALUE OF :  3x + 10y + 12x

3(4) + 10(2) + 12(4) = 

12 + 20 + 48 =  80

200

Factorize for 8x + 24

8x + 24 = 8(x + 3)

300

Factorize 27ab - 18a²

27ab - 18a² = 9a(3b - 2a)

400

IF x= 2.5 y=10 g=3 CALCULATE THE VALUE OF :2x + 6gx - 7y

2(2.5) + 6(3)(2.5) - 7(10) = 

5 + 45 - 70 =

-20

500

Factorize 22 - 44vw + 11v

22 - 44vw + 11v = 11(2 - 4vw + v)

Distributive Law

100

Solve for -6(8p + 3)

-6(8p + 3)=

-6 X 8p + -6 X 3 =

-48p - 18

200

Solve for 9(8 + 5t)

9(8 + 5t) = 

9 x 8 + 9 x 5t=

72 + 45t

300

Solve for 7(49x + 7y)

7(49x + 7y) = 

7 x 49x + 7 x 7y =

343x + 49y

      

400

Solve for 6(p + q) - 4(p-q)

6(p+q) - 4(p-q) =

6p + 6q - 4p + 4q =

2p + 10q

500

Solve for 3(4x + 3y ) + 4(3x + 2y)

3(4x +3y) + 4(3x+2y) = 

12x + 9y + 12x +8y =

12x + 12x +9y + 8y =

24x + 17y

Binary Operations

100

Given that x*y = 2x +3y

   4 * 5 

 2x + 3y =

(2 X 4) + (3 X 5 )=

8 + 15 =

23

200

Given that a*b = 3a - b

   2*3

3a-b=

3 X 2 - 3 =

6 - 3

3

300

Given that m ^ n means m³ - 2mn + n²

3 ^ 2

m³ - 2mn + n² =

3³ - 2(3)(2) + 2^{2 =}

^{27 - 12 + 4 =}

¹⁹

400

Given that p * q = p³ + q²

               5*(-4)

p³ + q² =

5³ + (-4)² =

125 + 16 =

141

500

Given that x ^ y = x + y²  Write down the values of :

a)  2 ^ 3                                 b) 2 ^ ( 2 ^ 3 ) 

A) 2^3 =  

2 + 3²= 

2 + 9= 

11

B) 2^(2^3) = 

2 ^ (2 ^ 3²) = 

2^11² = 

2+121= 

123

Linear & simultaneous equations / DEFINITIONS

100

 WHAT IS A COFFICIENT ?    2x , 3y

The numerical factor of a term that contains a variable is called the coefficient.

200

Solve for 7a = 42

7a = 42

1 = 7 ÷ 7a = 42 ÷ 7 = 7

a = 7

300

Differentiate between an Expression and Equation.

A numerical expression as a group of numbers and variables with no equal sign. An equation is a group of numbers and variables that does include an equal sign

400

Solve for 6x + 3 = 27

6x + 3 = 27 

3 = 3 - 6x + 3 = 27 - 3 = 24

6(4) + 3 = 27

500

 Solve for 4(3x + 1) = 64

           4(3x + 1) = 64 

1=4÷4(3x+1)  = 64 ÷ 4 =

 3x + 1 = 16 =   3x + 1 =16-1 =

3x = 15  =  15/3 = 5

x=5