7. Which equation has the same first step to solve as this equation: 2x+12−3x=27
(1 point)
Responses
4x−17+2x=9
4 x minus 17 plus 2 x is equal to 9
2x+12=−3x−27
2 x plus 12 is equal to negative 3 x minus 27
2(x−5)+2x=10
2 times open paren x minus 5 close paren plus 2 x is equal to 10
2x+12=27
2 x plus 12 is equal to 27
8. Using the Distributive Property as a good first step to solving the equation 7(5x+2)=−4(6−5x)
, you could simplify this equation to get which of these choices?(1 point)
Responses
35x+14=−24+20x
35 x plus 14 is equal to negative 24 plus 20 x
35x+2=24−20x
35 x plus 2 is equal to 24 minus 20 x
5x+14=6+20x
5 x plus 14 is equal to 6 plus 20 x
35x+14=−24−20x
35 x plus 14 is equal to negative 24 minus 20 x
35x+2=−24−5x
35 x plus 14 is equal to negative 24 plus 20 x
9. For the equation 2(x−5)=9−3x+6+8+3x+7
, the left side of the equation can be simplified using the Distributive Property, and the right side of the equation can be simplified by combining like terms. (2 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Simplify the left side of the equation: Response area
Simplify the right side of the equation: Response area
Simplify the left side of the equation: 2 * (x - 5)
Simplify the right side of the equation: 9 - 3x + 6 + 8 + 3x + 7
10. Jill solves the equation 3(x−5)+2x=0
. Fill in the blanks for each step with the correct values:(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
3x+
Response area+2x=0
5x=
Response area
x=
Response area
3x + 5 + 2x = 0
5x + 5 = 0
x = -1
no
Apologies for the incorrect response. Let's solve the equation again:
3(x - 5) + 2x = 0
First, we distribute the 3:
3x - 15 + 2x = 0
Now, we combine like terms:
5x - 15 = 0
Next, we isolate the variable by adding 15 to both sides:
5x = 15
Finally, we solve for x by dividing both sides by 5:
x = 3
11. After combining like terms to simplify the equation 3−15x+24+16x=4x−24−4x
, what would be the next best step to finish solving?(1 point)
Responses
Divide both sides of the equation by 15.
Divide both sides of the equation by 15.
Add x to both sides of the equation.
Add x to both sides of the equation.
Subtract 24 from both sides of the equation.
Subtract 24 from both sides of the equation.
Subtract 27 from both sides of the equation.
Subtract 27 from both sides of the equation.
Subtract x from both sides of the equation.