Question

5y−1)+(−2y+4)

Answer 1

(3/4x−1)+(3/4x−2)

Answer 2

7x+3(x−2)−4x+8

Answer 3

(3x−8)+(2x+5)−(4x−8)

Answer 4

Which expression is equivalent to 2.2−0.5(0.6x−1.8)
?(1 point)

Answer 5

−6(1/4x−2/3x+5/6x)

Answer 6

simplify −6(1/4x−2/3x+5/6x)
-x
-2 1/2x
3/4x
2x

Answer 7

Simplify.

−1/2(−6x+3)

Answer 8

11−9(−2x−3)

Answer 9

Factor this expression completely.

35x−40

Answer 10

Factor the expression completely.

45x−18y+36

Answer 11

Factor this expression completely.

−21x+28
(1 point)

Answer 12

Which factorization is equivalent to this expression?

−42k−54

Answer 13

Factor the expression completely.

100x+1000

Answer 14

Simplify.

3−(4x−5)+6

Answer 15

Combining like terms, we have:

(5y - 1) + (-2y + 4) = 3y + 3

Answer 16

Combining like terms, we have:

(3/4x - 1) + (3/4x - 2)
= (3/4x + 3/4x) + (-1 - 2)
= (6/4x) - 3
= (3/2)x - 3

Answer 17

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

Answer 18

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.

Answer 19

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.

Answer 20

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.

Answer 21

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.

Answer 22

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.

Answer 23

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.

Answer 24

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).

Answer 25

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).

Answer 26

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).

Answer 27

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).

Answer 28

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).