Algebraic Expressions Unit 7 Simplifying Algebraic Expressions Vocabulary

Algebraic Expressions

Unit 7 – Simplifying Algebraic Expressions

Vocabulary Expressions - A mathematical representation containing numbers, variables, and operation symbols; an expression does not include an equality or inequality symbol. Example: (5+2)− 27 ÷ 3 (numerical expression) 2 a +3 b (algebraic expression) Constant – A quantity that does not change its value in a given expression or equation Example: 3 s + 4, 3 and 4 are constants Coefficient – A constant that multiplies a variable Example: 3 x + 4 y 3 is the coefficient of x and 4 is the coefficient of y

Simplifying Algebraic Expressions Geometry Example Solve. A square has a length of g yards. Find the perimeter of the square in terms of g. g+g+g+g 4 g yards

Simplifying Algebraic Expressions Geometry Example Solve. An equilateral triangle has sides measuring d inches long. Find the perimeter of the equilateral triangle in terms of d. d+d+d 3 d inches

Simplifying Algebraic Expressions Geometry Example Solve. A rectangle has a width of 2 feet and a length of m feet. Find the perimeter of the rectangle in terms of m. m+2+m+2 2 m + 4 feet

Simplifying Algebraic Expression Geometry Practice Solve. A piece of wire is bent in the shape of a regular octagon. Each side of the octagon is h centimeters long. What is the total length of the wire in terms of h? h+h+h+h+h 8 h cm

Simplifying Algebraic Expressions Addition Examples Simplify each expression 2 c + 3 c 3 g + 4 g c+c+c 5 c g+g+g+g 7 g

Simplifying Algebraic Expressions Addition Practice Simplify each expression 1. 8 p + 3 p 11 p 2. 6 m + 10 m 16 m 3. 42 d + d 43 d 4. 16 y + 4 y 20 y

Simplifying Algebraic Expressions Subtraction Examples Simplify each expression 5 t - 2 t 7 x - 4 x 3 t 3 x

Simplifying Algebraic Expressions Subtraction Practice Simplify each expression 1. 18 p - 2 p 16 p 2. 44 m - 15 m 29 m 3. 6 d - 6 d 0 4. 15 y – y 14 y

Simplifying Algebraic Expressions Mixed Practice State whether each pair of expressions is equivalent 1. 7 p + 3 p and 3 p + 6 p 10 p and 9 p no 2. 9 t + 3 t and 6 t + 6 t 3. 5 d - d and 6 n 4 d and 6 n no 4. 7 i – 2 i and 9 i - 4 i 12 t and 12 t 5 i and 5 i yes