1. 
What property of equality would you use to solve for x in the equation 5x = 15? > Symmetry

2. 
Which is an example of the symmetric property of equality? > If A = B and B = C, then A = C

3. 
Which of these is not a property of equality (and therefore congruence)? > Transitivity

4. 
Which property lets us simplify the equation (10 – 5)^{2x} – (10 – 5) = 0 to 5^{2x} – 5 = 0? > Reflexive Property

5. 
We are given that A = B and C = D. What would make the statement A/C = B/D untrue? > D = 0

6. 
Fill in the missing statements in the following proof that if 2x + 7 = 1 and ^{y}⁄_{x} – 1 = 2, then y = 9.Statements  Reasons  1. 2x + 7 = 1  Given  2. ^{y}⁄_{x} – 1 = 2  Given  3. ?  Subtract 7 from both sides of (1)  4. ?  Divide (3) by 2  5. ?  Substitute (4) into (2)  6. ?  Add 1 to both sides of (5)  7. ?  Multiply (6) by –3 
Which of the following fits best for statement 3? > 2x = 6

7. 
Fill in the missing statements in the following proof that if 2x + 7 = 1 and ^{y}⁄_{x} – 1 = 2, then y = 9.Statements  Reasons  1. 2x + 7 = 1  Given  2. ^{y}⁄_{x} – 1 = 2  Given  3. ?  Subtract 7 from both sides of (1)  4. ?  Divide (3) by 2  5. ?  Substitute (4) into (2)  6. ?  Add 1 to both sides of (5)  7. ?  Multiply (6) by –3 
Which of the following fits best for statement 4? > x = 3

8. 
Fill in the missing statements in the following proof that if 2x + 7 = 1 and ^{y}⁄_{x} – 1 = 2, then y = 9.Statements  Reasons  1. 2x + 7 = 1  Given  2. ^{y}⁄_{x} – 1 = 2  Given  3. ?  Subtract 7 from both sides of (1)  4. ?  Divide (3) by 2  5. ?  Substitute (4) into (2)  6. ?  Add 1 to both sides of (5)  7. ?  Multiply (6) by –3 
Which of the following fits best for statement 5? >

9. 
Fill in the missing statements in the following proof that if 2x + 7 = 1 and ^{y}⁄_{x} – 1 = 2, then y = 9.Statements  Reasons  1. 2x + 7 = 1  Given  2. ^{y}⁄_{x} – 1 = 2  Given  3. ?  Subtract 7 from both sides of (1)  4. ?  Divide (3) by 2  5. ?  Substitute (4) into (2)  6. ?  Add 1 to both sides of (5)  7. ?  Multiply (6) by –3 
Which of the following fits best for statement 6? >

10. 
Fill in the missing statements in the following proof that if 2x + 7 = 1 and ^{y}⁄_{x} – 1 = 2, then y = 9.Statements  Reasons  1. 2x + 7 = 1  Given  2. ^{y}⁄_{x} – 1 = 2  Given  3. ?  Subtract 7 from both sides of (1)  4. ?  Divide (3) by 2  5. ?  Substitute (4) into (2)  6. ?  Add 1 to both sides of (5)  7. ?  Multiply (6) by –3 
Which of the following fits best for statement 7? > x = 9
