Write as an algebraic expression:
F ive time the sum of a number and 4
5(n + 4)
Simplify the expression:
15−3[2+6(−3)]
15 - 3[2 + 6(-3)]
15 - 3[2 + (-18)]
15 - 3[-16]
15 + 48
63
Evaluate the expression when x = 8 and y = 9:
x(y−9)3 +2
When x = 8 and y = 9, we can substitute these values into the expression:
x(y−9)3 + 2
8(9 - 9)3 + 2
8(0)3 + 2
0 + 2
2
Thus, the expression evaluates to 2.
4. Describe the number set(s) the number belongs to:
− √17
The number -√17 belongs to the set of negative numbers and the set of irrational numbers. The square root of 17 is an irrational number because it cannot be expressed as a fraction and its decimal representation is non-recurring and non-terminating. Since we multiply the square root of 17 by -1, the resulting number is negative. Therefore, -√17 is both negative and irrational.
5. What property is being shown?
5+(6+3) = (5+6)+
The property being shown in this equation is the associative property of addition. This property states that the way in which numbers are grouped does not affect their sum. In this case, the equation shows that the sum of 6 and 3 can be grouped within parentheses and added to 5, or alternatively, the sum of 5 and 6 can be grouped within parentheses and added to 3. Both expressions yield the same result.
5. What property is being shown?
5+(6+3) = (5+6)+3