Combining like terms, we have:
(5y - 1) + (-2y + 4) = 3y + 3
5y−1)+(−2y+4)
28 answers
(3/4x−1)+(3/4x−2)
Combining like terms, we have:
(3/4x - 1) + (3/4x - 2)
= (3/4x + 3/4x) + (-1 - 2)
= (6/4x) - 3
= (3/2)x - 3
(3/4x - 1) + (3/4x - 2)
= (3/4x + 3/4x) + (-1 - 2)
= (6/4x) - 3
= (3/2)x - 3
7x+3(x−2)−4x+8
Expanding the expression within the parentheses, we have:
7x + 3(x - 2) - 4x + 8
= 7x + 3x - 6 - 4x + 8
Combining like terms, we get:
(7x + 3x - 4x) + (-6 + 8)
= 6x + 2
= 2 + 6x
7x + 3(x - 2) - 4x + 8
= 7x + 3x - 6 - 4x + 8
Combining like terms, we get:
(7x + 3x - 4x) + (-6 + 8)
= 6x + 2
= 2 + 6x
(3x−8)+(2x+5)−(4x−8)
Expanding the expression within the parentheses, we have:
(3x - 8) + (2x + 5) - (4x - 8)
Removing the parentheses, we get:
3x - 8 + 2x + 5 - 4x + 8
Combining like terms, we have:
(3x + 2x - 4x) + (-8 + 5 + 8)
= x + 5
Therefore, the simplified expression is x + 5.
(3x - 8) + (2x + 5) - (4x - 8)
Removing the parentheses, we get:
3x - 8 + 2x + 5 - 4x + 8
Combining like terms, we have:
(3x + 2x - 4x) + (-8 + 5 + 8)
= x + 5
Therefore, the simplified expression is x + 5.
Which expression is equivalent to 2.2−0.5(0.6x−1.8)
?(1 point)
?(1 point)
To simplify the expression 2.2 - 0.5(0.6x - 1.8), we can distribute the -0.5 to the terms inside the parentheses:
2.2 - 0.5(0.6x) + 0.5(1.8)
Simplifying further, we have:
2.2 - 0.3x + 0.9
Combining like terms, we get:
(2.2 + 0.9) - 0.3x
= 3.1 - 0.3x
Therefore, the expression equivalent to 2.2 - 0.5(0.6x - 1.8) is 3.1 - 0.3x.
2.2 - 0.5(0.6x) + 0.5(1.8)
Simplifying further, we have:
2.2 - 0.3x + 0.9
Combining like terms, we get:
(2.2 + 0.9) - 0.3x
= 3.1 - 0.3x
Therefore, the expression equivalent to 2.2 - 0.5(0.6x - 1.8) is 3.1 - 0.3x.
−6(1/4x−2/3x+5/6x)
To simplify the expression -6(1/4x - 2/3x + 5/6x), we can distribute the -6 to each term inside the parentheses:
-6 * 1/4x - 6 * 2/3x + 6 * 5/6x
Simplifying further, we have:
-6/4x + (-12/3)x + 30/6x
To add or subtract fractions, we need a common denominator. In this case, the common denominator is 12:
-3/2x - 4x + 5/2x
Combining like terms, we get:
(-3/2x + 5/2x) - 4x
= 2/2x - 4x
= x - 4x
= -3x
Therefore, the simplified expression is -3x.
-6 * 1/4x - 6 * 2/3x + 6 * 5/6x
Simplifying further, we have:
-6/4x + (-12/3)x + 30/6x
To add or subtract fractions, we need a common denominator. In this case, the common denominator is 12:
-3/2x - 4x + 5/2x
Combining like terms, we get:
(-3/2x + 5/2x) - 4x
= 2/2x - 4x
= x - 4x
= -3x
Therefore, the simplified expression is -3x.
simplify −6(1/4x−2/3x+5/6x)
-x
-2 1/2x
3/4x
2x
-x
-2 1/2x
3/4x
2x
To simplify the expression -6(1/4x - 2/3x + 5/6x), we can first find a common denominator for the fractions in the parentheses. The common denominator is 12:
-6(3/12x - 8/12x + 10/12x)
Simplifying further, we have:
-6(-5/12x)
Next, we can simplify the expression by multiplying the numerator and denominator of the fraction by -6:
30/12x
Simplifying the fraction further, we get:
5/2x
Therefore, the simplified expression is 5/2x or 2 1/2x.
-6(3/12x - 8/12x + 10/12x)
Simplifying further, we have:
-6(-5/12x)
Next, we can simplify the expression by multiplying the numerator and denominator of the fraction by -6:
30/12x
Simplifying the fraction further, we get:
5/2x
Therefore, the simplified expression is 5/2x or 2 1/2x.
Simplify.
−1/2(−6x+3)
−1/2(−6x+3)
To simplify the expression -1/2(-6x + 3), we can distribute the -1/2 to each term inside the parentheses:
(-1/2)(-6x) + (-1/2)(3)
Simplifying further, we have:
3x - 3/2
Therefore, the simplified expression is 3x - 3/2.
(-1/2)(-6x) + (-1/2)(3)
Simplifying further, we have:
3x - 3/2
Therefore, the simplified expression is 3x - 3/2.
11−9(−2x−3)
To simplify the expression 11 - 9(-2x - 3), we can distribute the -9 to each term inside the parentheses:
11 + 18x + 27
Combining like terms, we get:
18x + 38
Therefore, the simplified expression is 18x + 38.
11 + 18x + 27
Combining like terms, we get:
18x + 38
Therefore, the simplified expression is 18x + 38.
Factor this expression completely.
35x−40
35x−40
To factor the expression 35x - 40, we can look for the greatest common factor (GCF) of the terms.
First, we find the GCF of 35 and 40, which is 5.
Dividing each term by 5, we have:
35x/5 - 40/5
This simplifies to:
7x - 8
Therefore, the completely factored form of the expression 35x - 40 is 5(7x - 8).
First, we find the GCF of 35 and 40, which is 5.
Dividing each term by 5, we have:
35x/5 - 40/5
This simplifies to:
7x - 8
Therefore, the completely factored form of the expression 35x - 40 is 5(7x - 8).
Factor the expression completely.
45x−18y+36
45x−18y+36
To factor the expression 45x - 18y + 36, we can look for the greatest common factor (GCF) of the terms.
First, we find the GCF of 45, 18, and 36, which is 9.
Dividing each term by 9, we have:
45x/9 - 18y/9 + 36/9
This simplifies to:
5x - 2y + 4
Therefore, the completely factored form of the expression 45x - 18y + 36 is 9(5x - 2y + 4).
First, we find the GCF of 45, 18, and 36, which is 9.
Dividing each term by 9, we have:
45x/9 - 18y/9 + 36/9
This simplifies to:
5x - 2y + 4
Therefore, the completely factored form of the expression 45x - 18y + 36 is 9(5x - 2y + 4).
Factor this expression completely.
−21x+28
(1 point)
−21x+28
(1 point)
To factor the expression -21x + 28, we can look for the greatest common factor (GCF) of the terms.
First, we find the GCF of 21 and 28, which is 7.
Dividing each term by 7, we have:
-21x/7 + 28/7
This simplifies to:
-3x + 4
Therefore, the completely factored form of the expression -21x + 28 is 7(-3x + 4).
First, we find the GCF of 21 and 28, which is 7.
Dividing each term by 7, we have:
-21x/7 + 28/7
This simplifies to:
-3x + 4
Therefore, the completely factored form of the expression -21x + 28 is 7(-3x + 4).
Which factorization is equivalent to this expression?
−42k−54
−42k−54
To factor -42k - 54, we can look for the greatest common factor (GCF) of the terms.
The GCF of 42 and 54 is 6.
Dividing each term by 6, we have:
-42k/6 - 54/6
This simplifies to:
-7k - 9
Therefore, the factorization equivalent to -42k - 54 is 6(-7k - 9).
The GCF of 42 and 54 is 6.
Dividing each term by 6, we have:
-42k/6 - 54/6
This simplifies to:
-7k - 9
Therefore, the factorization equivalent to -42k - 54 is 6(-7k - 9).
Factor the expression completely.
100x+1000
100x+1000
To factor the expression 100x + 1000, we can find the greatest common factor (GCF) of the terms.
The GCF of 100 and 1000 is 100.
Dividing each term by 100, we have:
100x/100 + 1000/100
This simplifies to:
x + 10
Therefore, the completely factored form of the expression 100x + 1000 is 100(x + 10).
The GCF of 100 and 1000 is 100.
Dividing each term by 100, we have:
100x/100 + 1000/100
This simplifies to:
x + 10
Therefore, the completely factored form of the expression 100x + 1000 is 100(x + 10).
Simplify.
3−(4x−5)+6
3−(4x−5)+6