Algebra Methods Glossary Match the following algebra terms

Algebra Methods

Glossary Match the following algebra terms Expand Write in the shortest simplest form Factorise Highest power of the equation is one Simplify Highest power of the equation is two Solve Get rid of the brackets Linear Find the answer Quadratic Put into brackets

Glossary Expand Get rid of the brackets Factorise Put into brackets Simplify Write in the shortest simplest form Solve Find the answer Linear Highest power of the equation is one Quadratic Highest power of the equation is two

Note 1: Algebraic Expressions In algebra: Ø a variable (letter) is used to stand for a number Ø write letters in alphabetical order eg. pqr Ø write numbers before letters eg. 2 p

Examples: Write down as an algebraic expression Eight more than six times x 6 x + 8 Four less than twice x 2 x - 4

Note 2: Simplifying like terms Like terms can be added or subtracted, if they are the same term and of the same power. The sign (+ or -) belongs to the number or variable after it. Examples: Simplify 3 a + a – 2 a = 2 a 4 b – 7 b + 2 b = -b 7 c + 5 d – 9 c + 2 d = -2 c + 7 d 5 ef + 6 fg – 8 fe + 7 hg = -3 ef + 6 fg + 7 gh

When we add and subtract like terms with powers, we do not change the powers. Examples: Simplify k 3 – k 2 + 3 k + 4 k 3 – 6 k 2 = 5 k 3 – 7 k 2 + 3 k

Gamma Page 67 Exercise 4. 3 Homework Page 39 Exercise A