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Name: _____________________________________ Date: ____________________ Evaluating Algebraic Expressions Study Guide Algebraic Expressions contain a combination of variables, numbers, and at least one operation. (Variable = a, x, y; number = 1, 2, 56, 24; operation = +, -, ×, ÷) To Evaluate an Expression follow these steps: 1. Write the algebraic expression 2. Substitute the values given for the variables 3. Simplify the expressions (Remember to use PEMDAS) Follow the examples: Evaluate each expression, if: a=3 b=5 c=8 x = 10 Step 1 a+b-y 5 + 3x Step 2 3+5-2 5 + 3(10) Step 3 8 -2 y=2 2b – a + c 2(5) – 3 + 8 5 + 30 6 z=1 10 – 3 + 8 35 7 +8 15 Your turn: Complete the next step: Step 1 3y + 4 Step 2 3___ + 4 (__)(__)(__) Step 3 ___ + 4 (___)(__) ____ + ____ + ____ ____ ____ ____ xyz 2x + 3y + 4z 2 ____+3____+4 ____ Now, complete all the steps: Step 1 4z + 3 x+y+z 4a - y Step 2 Step 3 AO 1007 1 Name: _____________________________________ Date: ____________________ Step 1 3b + z (x + y) 3y + 4c + 1 4a + xy 2y + 4abc 8ab - c Step 1 6b + 3y + 1 3 4ab + c 2 2x + 3y - 2 c Step 2 __________ Step 2 Step 3 Step 1 Step 2 Step 3 ____________ ___________ Step 3 AO 1007 2