EVALUATING EXPRESSIONS 1-3 VOCABULARY… 1. Coefficient – numerical factor (a number that comes in front of a variable) 2. Evaluate – replacing each variable with a number in order to solve using the order of operations EXAMPLES… ~Evaluate~ 1.) 4y – 15, for y = 9 4(9) – 15 36 – 15 21 EXAMPLES… 2.) 63 – 5(x), for x=7 63 – 5(7) 3.) 4(t + 3) + 1, for t=8 4(8 + 3) + 1 63 – 35 4(11) + 1 28 44 + 1 45 EXAMPLES… 4.) 3ab + c ÷ 2 , for a = 2, b = 5, c = 10 3ab + c ÷ 2 3(2)(5) + 10 ÷ 2 6(5) + 10 ÷ 2 30 + 10 ÷ 2 30 + 5 35 EVALUATING EXPRESSIONS… • The value of a variable expression depends upon the value of the variable. • By substituting different digits for the variables, you will ultimately get different answers for the variable expressions. Putting the numbers and expressions into a chart form will help you see these different values… x 3x + 2 Answers… 0 3(0) + 2 2 1 3(1) + 2 5 2 3(2) + 2 8 3 3(3) + 2 4 3(4) + 2 11 14 x 0 1 2 3 4 17 + x 17 + 0 17 + 1 17 + 2 17 + 3 17 + 4 Answers… X 4x – 2x Answers… 0 1 2 4(0) – 2(0) 0 4(1) – 2(1) 4(2) – 2(2) 2 3 4(3) – 2(3) 4 6 4 4(4) – 2(4) 8 17 18 19 20 21 EXAMPLE… • Complete the table for the given value of the variables. k 10 11 12 13 14 5+k 15 16 17 18 19 2k – 9 11 13 15 17 19