Simplify 5a - 8c + b + 3c - 9a + 6b. (1 point)
To simplify the expression 5a - 8c + b + 3c - 9a + 6b, we can combine like terms.
Grouping the like terms together, we have:
(5a - 9a) + (b + 6b) + (-8c + 3c)
Simplifying each group:
-4a + 7b - 5c
So the simplified expression is -4a + 7b - 5c.
To simplify the expression:
5a - 8c + b + 3c - 9a + 6b
Combine like terms by adding or subtracting coefficients of the same variable.
Combine the "a" terms:
5a - 9a = -4a
Combine the "c" terms:
-8c + 3c = -5c
Combine the "b" terms:
b + 6b = 7b
Therefore, the simplified expression is:
-4a - 5c + 7b
To simplify the expression 5a - 8c + b + 3c - 9a + 6b, you'll need to combine like terms. Like terms have the same variables raised to the same power. In this expression, the like terms are those with 'a', 'c', and 'b'.
To simplify the expression:
Step 1: Combine the 'a' terms: 5a - 9a = -4a
Step 2: Combine the 'c' terms: -8c + 3c = -5c
Step 3: Combine the 'b' terms: b + 6b = 7b
Putting it all together, the simplified expression is -4a - 5c + 7b.
Simplify -3/4r + 3 - 5/6r - 6. (1 point)
To simplify the expression -3/4r + 3 - 5/6r - 6, we can combine like terms.
Combining the 'r' terms, we have:
-3/4r - 5/6r
To combine these fractions, we need to find a common denominator. The least common multiple of 4 and 6 is 12. Therefore, we can rewrite the expression as:
-9/12r - 10/12r
Now we can combine these fractions:
-9/12r - 10/12r = (-9 - 10)/12r = -19/12r
We can combine the constant terms:
3 - 6 = -3
Therefore, the simplified expression is:
-19/12r - 3
Expand 8(3p + 2). (1 point)
To expand 8(3p + 2), we need to distribute the 8 to each term inside the parentheses.
Using the distributive property, we have:
8 * 3p + 8 * 2
Multiplying each term:
24p + 16
Therefore, the expanded form of 8(3p + 2) is 24p + 16.
Find the GCF of 20x - 4
To find the greatest common factor (GCF) of 20x - 4, we can first identify the factors of each term:
Factors of 20x: 1, 2, 4, 5, 10, 20, x, 2x, 4x, 5x, 10x, 20x
Factors of 4: 1, 2, 4
Now, we can select the common factors between 20x and 4, which are only 1 and 2.
Therefore, the GCF of 20x - 4 is 2.