# Algebraic Simplification

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22-Feb-2016Category

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Algebraic Simplification

Algebraic SimplificationDr FrostObjectives: Be able to simplify algebraic expressions involving addition, subtraction, multiplication and division.aa + b2ab2a + b3a2a + b5a + b5a + b10a + 2bStarterInstructions: Given that each square is the sum of the two expressions below it, fill in the missing expressions.??????3bx29y24xy3= 3 b= x x= 9 y y= 4 x y y yWhat does these actually mean??In terms of what were multiplying together.???x22x2-3x23x3-x3y25xy24x2y2x2y-1+4x9x5xyActivityGroup things which you think are considered like terms.x22x2-3x23x3-x3y25xy24x2y2x2y-1+4x9x5xyActivityAnswers:What therefore is the rule which determines if two terms are considered like terms?They involve the same variables, and use the same powers.?b3 + b2 = b5b3 + b2 = 5bSchoolboy ErrorsTMWhat is wrong with these?When adding algebraic terms, we can collect like terms together.

When multiplying algebraic terms, we just multiply each of the individual items.

When dividing algebraic terms, we cancel out common items.Dont mix up the first two!+x2x + x2 + 5x= x2 + 7x?When adding algebraic terms, we can collect like terms together.

When multiplying algebraic terms, we just multiply each of the individual items.

When dividing algebraic terms, we cancel out common items.Dont mix up the first two!+x2x + 3x2 + 8x 2x2= x2 + 10x?When adding algebraic terms, we can collect like terms together.

When multiplying algebraic terms, we just multiply each of the individual items.

When dividing algebraic terms, we cancel out common items.Dont mix up the first two!+xx3 + x2 + x + x= x3 + x2 + 2x?When adding algebraic terms, we can collect like terms together.

When multiplying algebraic terms, we just multiply each of the individual items.

When dividing algebraic terms, we cancel out common items.Dont mix up the first two!+xx2y + xy2 - x= x2y + xy2 - x?When adding algebraic terms, we can collect like terms together.

When multiplying algebraic terms, we just multiply each of the individual items.

When dividing algebraic terms, we cancel out common items.Dont mix up the first two!+xy 3r= 3yr (or 3ry)?When adding algebraic terms, we can collect like terms together.

When multiplying algebraic terms, we just multiply each of the individual items.

When dividing algebraic terms, we cancel out common items.Dont mix up the first two!+x6x 3y= 18xy?When adding algebraic terms, we can collect like terms together.

When multiplying algebraic terms, we just multiply each of the individual items.

When dividing algebraic terms, we cancel out common items.Dont mix up the first two!+x6x + 3y= 6x + 3y?When adding algebraic terms, we can collect like terms together.

When multiplying algebraic terms, we just multiply each of the individual items.

When dividing algebraic terms, we cancel out common items.Dont mix up the first two!+x12qw q= 12q2w?When adding algebraic terms, we can collect like terms together.

When multiplying algebraic terms, we just multiply each of the individual items.

When dividing algebraic terms, we cancel out common items.Dont mix up the first two!+x3xy 3yz= 9xy2z?When adding algebraic terms, we can collect like terms together.

When multiplying algebraic terms, we just multiply each of the individual items.

When dividing algebraic terms, we cancel out common items.Dont mix up the first two!+x= x3x3?When adding algebraic terms, we can collect like terms together.

When multiplying algebraic terms, we just multiply each of the individual items.

When dividing algebraic terms, we cancel out common items.Dont mix up the first two!+x= 3x?When adding algebraic terms, we can collect like terms together.

When multiplying algebraic terms, we just multiply each of the individual items.

When dividing algebraic terms, we cancel out common items.Dont mix up the first two!+x= 2y?When adding algebraic terms, we can collect like terms together.

When multiplying algebraic terms, we just multiply each of the individual items.

When dividing algebraic terms, we cancel out common items.Dont mix up the first two!+x= 4xy?When adding algebraic terms, we can collect like terms together.

When multiplying algebraic terms, we just multiply each of the individual items.

When dividing algebraic terms, we cancel out common items.Dont mix up the first two!+x?When adding algebraic terms, we can collect like terms together.

When multiplying algebraic terms, we just multiply each of the individual items.

When dividing algebraic terms, we cancel out common items.Dont mix up the first two!+x?When adding algebraic terms, we can collect like terms together.

When multiplying algebraic terms, we just multiply each of the individual items.

When dividing algebraic terms, we cancel out common items.Dont mix up the first two!+x?