2.2.1 Algebraic Proof − Worksheet
Example 1: Solve each equation. Write a justification for each step. 1. y + 1 = 5
2. t − 3.2 = − 8.3
+ x 3 2 −
3. 2 p − 30 = − 4 p + 6
4.
8
=
1 2
3 4
5.
6. 0 = 2( r − 3) + 4
= n
Example 2: 7. Amy’s favorite breakfast cereal has 102 Calories per serving. The equation C = 9 f + 90 relates the grams of fat f in one serving to the Calories C in one serving. How many grams of fat are in one serving of the cereal? Solve the equation for f and justify each step.
8. The equation C = $5.75 + $0.89 m relates the number of movie rentals m to the monthly cost C of a movie club membership. How many movies did Elias rent this month if his membership cost $11.98? Solve the equation for m and justify each step.
Example 3: Write a justification for each step. 9. C 5 y + 6 2 y + 21
10.
9 n – 5
3 n
25
P
Q
R
AB = BC 5 y + 6 = 2 y + 21 3 y + 6 = 21 3 y = 15 y = 5 A B
PQ + QR = PR 3 n + 25 = 9 n − 5 25 = 6 n − 5 30 = 6 n 5 = n
105
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