Simplification of algebra

Simplification of Algebra

Question: Simplify the algebraic expression below

Solution

Combine 3x and -2x to get x

Combine +4y and +4y to get 8y

Question: Simplify the algebraic fraction below

Solution

Simplify the algebraic expression below

Solution

Use the distributive property to multiply t by t + y

Combine ty and ty to get 2ty

Use the distributive property to multiply y by (y -3)

Combine 2ty and 3ty to get 5ty

Comments

How to find the vertical angle of the cone.

A cone of height 9cm has a volume of ncm cube and a curved surface area of of ncm square. Find the vertical angle of the cone. SOLUTION

Solving Simultaneous equation using matrix method

Solving Simultaneous equation using matrix Method Question: Find the values of x and y in the equations below 3 x + 2 y = 6 5 x − y = 8 Using matrix method Put the equations in standard form and then use matrices to solve the system of equations. 3 x + 2 y = 6 , 5 x − y = 8 Write the equations in matrix form ( 3 5 2 − 1 ) ( x y ) = ( 6 8 ) Left multiply the equation by the inverse matrix of ( 3 5 2 − 1 ) . i n v e r s e ( ( 3 5 2 − 1 ) ) ( 3 5 2 − 1 ) ( x y ) = i n v e r s e ( ( 3 5 2 − 1 ) ) ( 6 8 ) The product of a matrix and its inverse is the identity matrix ( 1 0 0 1 ) ( x y ) = i n v e r s e ( ( 3 5 2 − 1 ) ) ( 6 8 ) Multiply the matrices on the left hand side of the equal sign. ( x y ) = i n v e r s e ( ( 3 5 2 − 1 ) ) ( 6 8 ) For the 2 × 2 matrix ( a c b d ) , the inverse matrix is ( a d − b c d a d − b c − c a d − b c − b a d − b c a ) , so the matrix equation can be ...

Arithmetic Progression

How to calculate the common difference when the first term and the nth term is know. Question: The 28th term of an AP is -5. Find the common difference if its first term is 31. Solution T1 = a ( First term of the sequence) a = 31 T28 = -5 (28th term of the sequence) d = ? (common difference) Recall the nth term formula of Ap i.e Tn = a + (n-1)d Substitute 28 for n to get the following equation T28 = a + (28-1)d T28 = a + 27d Substitute T28 for -5 and 31 for a in the equation above -5 = 31 + 27d Subtract 31 from both sides of the equation -5 -31 = 27d -36 = 27d Divide through by 27 -36/27 = 27d/27 ...

Tell Math

Search This Blog