# Honors Geometry Companion Book, Volume 1

2.2 Review Worksheet

2.2.1 Algebraic Proof Solve each equation. Write a justification for each step. 1. 5 x − 3 = 4( x + 2) 2. 1.6 = 3.2 n

z 3

3.

2 10

− =−

1 2

4. − ( h + 3) = 72

5. 9 y + 17 = − 19

6.

− = p

(

16) 13

7. The equation T = 0.03 c + 0.05 b relates the numbers of cans c and bottles b collected in a recycling rally to the total dollars T raised. How many cans were collected if \$147 was raised and 150 bottles were collected? Solve the equation for c and justify each step.

Write a justification for each step. 8. 9. m ∠ XYZ = m ∠ 2 + m ∠ 3 4 n − 6 = 58 + (2 n − 12) 4 n − 6 = 2 n + 46 2 n − 6 = 46 2 n = 52 n = 26

m ∠ WYV = m ∠ 1 + m ∠ 2 5 n = 3( n − 2) + 58 5 n = 3 n − 6 + 58 5 n = 3 n + 52 2 n = 52 n = 26

X

V

1 2 3 58°

3( n –2)°

2( n –12)°

W

Y

Z

m ∠ WYV = 5 n ° m ∠ XYZ = (4 n – 6)°

Identify the property that justifies each statement. 10. KL ≅ PR , so PR ≅ KL .

11. 412 = 412

12. If a = b and b = 0, then a = 0.

13. figure A ≅ figure A

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