Which expression is equivalent to 2/3x + 1?

Question

A 1/3 (2x + 3)

B 2/3 (2x + 3)

C 2/3 (3x + 2)

D 2/3 (3x + 1)

Answer 1

B 2/3 (2x + 3)

Answer 2

Which expression is equivalent to 2(2x + 7)?

A 4x - 14
B 4x + 14
C 14x + 4
D 8x + 14

Answer 3

The correct answer is D. To simplify the expression 2(2x + 7), you can distribute the 2 to both terms inside the parentheses:

2 * 2x + 2 * 7 = 4x + 14

Therefore, the expression is equivalent to 4x + 14.

Answer 4

Which expression is equivalent to
-1/5 (10x + 15) - 2?

A -2x – 1
B -2x – 4
C -2x – 3
D -2x – 5

Answer 5

To simplify the expression -1/5 (10x + 15) - 2, you can distribute the -1/5 to both terms inside the parentheses:

-1/5 * 10x + -1/5 * 15 = -2x - 3

Then, you subtract 2 from the result:

-2x - 3 - 2 = -2x - 5

Therefore, the expression is equivalent to -2x - 5.

The correct answer is D.

Answer 6

Which expression in equivalent to 2/3 (4x - 9)?

Answer 7

To expand the expression 2/3 (4x - 9), you can distribute the 2/3 to both terms inside the parentheses:

2/3 * 4x - 2/3 * 9 = 8/3x - 18/3

Simplifying further, you can simplify the fractions:

(8/3)x - 6

Therefore, the expression is equivalent to (8/3)x - 6.

The correct answer is not provided.

Answer 8

Which expression is equivalent to -4(y – 7)?

A -4y - 28
B -4y - 7y
C -4y - 11
D -4y + 28

Answer 9

To expand the expression -4(y - 7), you can distribute the -4 to both terms inside the parentheses:

-4 * y - 4 * (-7) = -4y + 28

Therefore, the expression is equivalent to -4y + 28.

The correct answer is D.

Answer 10

Steven will factor the expression 42xyz + 56xy – 7x by dividing each term by a common factor. Which possible common factor could Steven use? (choose 2)

Answer 11

To factor the expression 42xyz + 56xy - 7x by dividing each term by a common factor, we need to find a factor that divides evenly into each term.

The possible common factors that Steven could use are the factors of the coefficients of each term: 42, 56, and 7.

Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56
Factors of 7: 1, 7

From the factors listed above, it can be seen that the common factors include 1 and 7. So, Steven could use 1 or 7 as possible common factors.

Therefore, the possible common factors that Steven could use are 1 and 7.

Answer 12

Steven will factor the expression 42xyz + 56xy – 7x by dividing each term by a common factor. Which possible common factor could Steven use? (choose 2)

A 7
B y
C z
D x
E 6

Answer 13

To factor the expression 42xyz + 56xy - 7x, we need to find a common factor that can divide each term evenly.

Let's consider each option:

A. 7: The constant terms 42 and 7 are both divisible by 7, so 7 is a possible common factor.

B. y: There is a common "y" term in each term, so "y" is a possible common factor.

C. z: There is no "z" term in any of the terms, so z is not a common factor.

D. x: There is an "x" term in each term, so "x" is a possible common factor.

E. 6: None of the terms have a factor of 6, so 6 is not a common factor.

Therefore, the possible common factors that Steven could use are A. 7 and D. x.

Answer 14

Simplify 3 - (4x - 5) + 6.

A 12x + 21
B 4x + 14
C 4x + 4
D -4x + 14
E -4x + 4

Answer 15

To simplify 3 - (4x - 5) + 6, you can start by applying the distributive property to the parentheses:

3 - 4x + 5 + 6

Next, you can combine like terms:

(3 + 5 + 6) - 4x

This simplifies to:

14 - 4x

Therefore, the simplified expression is 14 - 4x.

The correct answer is not provided.

Answer 16

what's the correct answer

Answer 17

The correct answer is B. 4x + 14.

Answer 18

wrong it's negative not positive

Answer 19

Apologies for my mistake. You are correct.

The correct answer is D. -4x + 14.