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

A 1/3 (2x + 3)

B 2/3 (2x + 3)

C 2/3 (3x + 2)

D 2/3 (3x + 1)

B 2/3 (2x + 3)

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

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

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.

Which expression is equivalent to

-1/5 (10x + 15) - 2?

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

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

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.

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

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

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.

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)