Which is an example of the Symmetric Property?
if 3x + 2 = a + 6, then a + 6 = 3x + 2
if a = b and b = 5, then a = 5
if y = 6, then y + 12 becomes 6 + 12
x + 2 = x + 2 ***
2. To properly use the Addition Property of Equality what number would have to be added in the equation, 14 = x – 6 ?
–14
14 ***
–6
6
3. The Reflexive Property of Equality says:
for any numbers a and b, if a = b then b = a
for any numbers a, b, and c, if a = b then a – c = b – c
for any numbers a, b, and c, if a = b then a + c = b + c ***
for any number a, a = a
4. The equation y – 9 + 9 = –17 + 9 is an example of which property of equality?
Substitution Property of Equality ***
Addition Property of Equality
Reflexive Property of Equality
Symmetric Property of Equality
5. Evaluate the expression 3x + (z + 2y) – 12, if x = 3, y = 8 and z = 5.
–116
18 ***
53
42
1. The correct answer is "if x + 2 = x + 2." This is an example of the Symmetric Property of Equality, which states that if a = b, then b = a.
2. The correct answer is "14." To use the Addition Property of Equality, you would need to add the same number to both sides of the equation. In this case, x - 6 + 14 = 14.
3. The correct answer is "for any numbers a, b, and c, if a = b then a + c = b + c." This is an example of the Reflexive Property of Equality, which states that any number is equal to itself.
4. The correct answer is "Substitution Property of Equality." In this equation, y - 9 + 9 is substituting the value of -17 + 9.
5. The correct answer is "18." To evaluate the expression, you substitute the given values of x = 3, y = 8, and z = 5 into the expression: 3(3) + (5 + 2(8)) - 12 = 18.
1. The example of the Symmetric Property is: if x + 2 = x + 2, which states that both sides of the equation are equal.
2. To properly use the Addition Property of Equality, the number 6 would have to be added to both sides of the equation.
3. The Reflexive Property of Equality states that for any number a, a = a.
4. The equation y - 9 + 9 = -17 + 9 is an example of the Substitution Property of Equality.
5. When evaluating the expression 3x + (z + 2y) - 12, substituting x = 3, y = 8, and z = 5, the result is 18.
1. The example of the Symmetric Property is:
if 3x + 2 = a + 6, then a + 6 = 3x + 2. The Symmetric Property states that if a = b, then b = a. In this case, the equation 3x + 2 = a + 6 is rearranged to a + 6 = 3x + 2, maintaining the equality.
2. To use the Addition Property of Equality in the equation 14 = x - 6, you need to add a number that will balance the equation. Since you want to isolate the variable x on one side, you need to add 6 to both sides of the equation. This will result in:
14 + 6 = x - 6 + 6, which simplifies to 20 = x. So the number you would have to add is 6.
3. The Reflexive Property of Equality states that for any number a, a = a. It is represented by the statement "for any number a, a = a."
4. The equation y - 9 + 9 = -17 + 9 is an example of the Substitution Property of Equality. The Substitution Property states that if a = b, then you can substitute b for a in any expression. In this equation, the expression y - 9 is equivalent to -17, so it can be substituted, resulting in -17 + 9.
5. To evaluate the expression 3x + (z + 2y) - 12 given x = 3, y = 8, and z = 5, substitute the values of x, y, and z into the expression:
3(3) + (5 + 2(8)) - 12
= 9 + (5 + 16) - 12
= 9 + 21 - 12
= 30 - 12
= 18.
Therefore, the evaluation of the expression is 18.
#1,3 you have symmetric and reflexive confused
#2 nope. Add 6 if you want to find x
#4 addition property -- note that 9 has been added to both sides
#5: 3*3 + (5 + 2*8) = 9 + 5+16 = 30
I suspect a typo
Looks like you have some studying still to do ...