Algebra
1. Use the Distributive Property to simplify the expression.
(-1)(4-c)
2. Use the Distributive Property to simplify the expression.
4(2x -4)
3. Use the Distributive Property to simplify the expression.
(10 + 4 y) 1/2
4. To which subsets of real numbers does the number -22 belong? Choose all subsets that apply.
5. What is an algebraic expression for the following word phrase: "6 times the difference of b and p"?
6. What is the simplified form of the expression 5 (14-2) to the second power/2
7. Evaluate u+xy, if u =18, x=10, and y=8.
Thanks!
1-7 First gimme what answer you think, trust me, if you at least try I can explain how to get the answer and then you can do it if no one answers your question early enough
1. To simplify the expression (-1)(4-c) using the Distributive Property, distribute the -1 to each term within the parentheses:
(-1)(4-c) = -1(4) - (-1)(c)
= -4 + c
The simplified expression is -4 + c.
2. To simplify the expression 4(2x - 4) using the Distributive Property, distribute the 4 to each term within the parentheses:
4(2x - 4) = 4(2x) - 4(4)
= 8x - 16
The simplified expression is 8x - 16.
3. To simplify the expression (10 + 4y) (1/2) using the Distributive Property, distribute the 1/2 to each term within the parentheses:
(10 + 4y) (1/2) = (1/2)(10) + (1/2)(4y)
= 5 + 2y
The simplified expression is 5 + 2y.
4. The number -22 belongs to the subsets of real numbers known as integers and real numbers.
5. The algebraic expression for the word phrase "6 times the difference of b and p" is 6(b - p).
6. To simplify the expression 5(14-2)^2/2, first solve the exponent within the parentheses:
5(14-2)^2/2 = 5(12)^2/2
= 5(144)/2
= 720/2
= 360
The simplified form of the expression is 360.
7. To evaluate u + xy, using the given values u = 18, x = 10, and y = 8, substitute these values into the expression:
u + xy = 18 + (10)(8)
= 18 + 80
= 98
Therefore, the value of u + xy is 98.
1. To simplify the expression (-1)(4-c) using the Distributive Property, you need to distribute the -1 to both terms inside the parentheses. This means multiplying -1 by both 4 and -c.
So, (-1)(4-c) = -1*4 - (-1)*c
Simplifying further: -4 + c
Therefore, the simplified expression is -4 + c.
2. To simplify the expression 4(2x -4) using the Distributive Property, you need to distribute the 4 to both terms inside the parentheses. This means multiplying 4 by both 2x and -4.
So, 4(2x - 4) = 4*2x - 4*4
Simplifying further: 8x - 16
Therefore, the simplified expression is 8x - 16.
3. To simplify the expression (10 + 4y) 1/2 using the Distributive Property, you need to distribute the 1/2 to both terms inside the parentheses. This means multiplying 1/2 by both 10 and 4y.
So, (10 + 4y) 1/2 = 1/2*10 + 1/2*4y
Simplifying further: 5 + 2y
Therefore, the simplified expression is 5 + 2y.
4. The number -22 belongs to the following subsets of real numbers:
- Integers: Numbers without any fractional or decimal parts.
- Rational Numbers: Numbers that can be expressed as a fraction, where the numerator and denominator are both integers.
- Real Numbers: Numbers that can be represented on the number line.
5. An algebraic expression for the phrase "6 times the difference of b and p" can be written as 6(b - p).
6. To simplify the expression 5(14-2)^2/2, you start by evaluating the exponent (14-2)^2.
(14-2)^2 = 12^2 = 144.
Then substitute this value back into the original expression: 5 * 144 / 2.
Now, perform the multiplication and division: 5 * 144 = 720, and 720 / 2 = 360.
Therefore, the simplified form of the expression 5(14-2)^2/2 is 360.
7. To evaluate u + xy, when u = 18, x = 10, and y = 8, simply substitute the values into the expression.
u + xy = 18 + 10 * 8
Perform the multiplication: 10 * 8 = 80.
Then add the results: 18 + 80 = 98.
Therefore, when u = 18, x = 10, and y = 8, the value of u + xy is 98.
1. -4+c
2. 8x-16
3. 5+2y why is there a space
4. hmm its different how they teach in every school but -22 is a real number??
5. 6(b-p)
6-7 I would like you to do these by yourself!