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

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

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

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

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

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
True
False

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
True
False

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? ->
True
False

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? ->
True
False

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
True
False