Which expression is equivalent to -4(y – 7)?
17 answers
The expression -4(y - 7) is equivalent to -4y + 28.
Use the distributive property to expand the linear expression.
3(4x + 3)
3(4x + 3)
Using the distributive property, we distribute the coefficient 3 to both terms inside the parentheses:
3 * 4x + 3 * 3 = 12x + 9
So the expanded form of the expression 3(4x + 3) is 12x + 9.
3 * 4x + 3 * 3 = 12x + 9
So the expanded form of the expression 3(4x + 3) is 12x + 9.
Which expression is equivalent to 2/3 x + 1?
There are multiple expressions that are equivalent to 2/3x + 1. Here are a few examples:
- (2/3)x + 1
- 1 + (2/3)x
- (2/3)(x + 3/2)
- (2/3)x + 3/2
- 1 + (2/3)(x + 3/2)
- (2/3)x + 1
- 1 + (2/3)x
- (2/3)(x + 3/2)
- (2/3)x + 3/2
- 1 + (2/3)(x + 3/2)
Which expression is equivalent to 2/3 x + 1?
A 1/3 (2x + 3)
B 2/3 (2x + 3)
C 2/3(3x + 2)
D 2/3 (3x + 1)
A 1/3 (2x + 3)
B 2/3 (2x + 3)
C 2/3(3x + 2)
D 2/3 (3x + 1)
None of the given expressions are equivalent to 2/3x + 1.
yes
Apologies for the confusion. The expression that is equivalent to 2/3x + 1 is indeed option D: 2/3 (3x + 1).
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)
Responses
A 7
B y
C z
D x
E 6
Responses
A 7
B y
C z
D x
E 6
To identify a possible common factor to divide each term by, we need to find the greatest common factor (GCF) of the coefficients 42, 56, and -7. Then we check if any of the variables (x, y, z) have common factors among the terms.
The GCF of 42, 56, and -7 is 7 because it can divide each of these numbers evenly.
Now let's check the variables:
- The term 42xyz has factors of x, y, and z.
- The term 56xy has factors of x and y (both x and y appear in this term).
- The term -7x only has a factor of x.
Therefore, a possible common factor that Steven could use is option A: 7 (which is the GCF) and option D: x (which is a common factor among the terms containing x).
The GCF of 42, 56, and -7 is 7 because it can divide each of these numbers evenly.
Now let's check the variables:
- The term 42xyz has factors of x, y, and z.
- The term 56xy has factors of x and y (both x and y appear in this term).
- The term -7x only has a factor of x.
Therefore, a possible common factor that Steven could use is option A: 7 (which is the GCF) and option D: x (which is a common factor among the terms containing x).
Which expression is equivalent to -1/5 (10x + 15) - 2?
To find the expression equivalent to -1/5 (10x + 15) - 2, we will use the distributive property to simplify the expression.
First, let's distribute -1/5 to the terms inside the parentheses:
-1/5 (10x + 15) becomes (-1/5 * 10x) + (-1/5 * 15) which simplifies to -2x - 3.
Now, we can substitute this simplified expression into the original equation:
-2x - 3 - 2
This simplifies to -2x - 5.
Therefore, the expression equivalent to -1/5 (10x + 15) - 2 is -2x - 5.
First, let's distribute -1/5 to the terms inside the parentheses:
-1/5 (10x + 15) becomes (-1/5 * 10x) + (-1/5 * 15) which simplifies to -2x - 3.
Now, we can substitute this simplified expression into the original equation:
-2x - 3 - 2
This simplifies to -2x - 5.
Therefore, the expression equivalent to -1/5 (10x + 15) - 2 is -2x - 5.
Which expression is equivalent to -1/5 (10x + 15) - 2?
A -2x – 1 -2 x – 1
B -2x – 4-2 x – 4
C -2x – 3-2 x – 3
D -2x – 5
A -2x – 1 -2 x – 1
B -2x – 4-2 x – 4
C -2x – 3-2 x – 3
D -2x – 5
The expression equivalent to -1/5 (10x + 15) - 2 is option D: -2x - 5.
Which expression is equivalent to -1/5 (10x + 15) - 2?
A -2x - 1
B -2x- 4
C -2x – 3
D -2x – 5
A -2x - 1
B -2x- 4
C -2x – 3
D -2x – 5
The expression equivalent to -1/5 (10x + 15) - 2 is option C: -2x – 3.
4 answers