Asked by Kappa
Match the description of the one variable equation with the number of solutions it will have.
ax+c1=bx+c2
(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.
The number of x's on both sides of the equation is different a≠b
The number of x's is the same on both sides of the equation, and the constant is different a=b, c1≠c2
The number of x's is the same on both sides of the equation and the constant is also the same a=b, c1=c2
ax+c1=bx+c2
(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.
The number of x's on both sides of the equation is different a≠b
The number of x's is the same on both sides of the equation, and the constant is different a=b, c1≠c2
The number of x's is the same on both sides of the equation and the constant is also the same a=b, c1=c2
Answers
Answer
2x−5=3(4x+5)
Step 1:
Property to get
Step 2:
Property to get
Step 3:
Property to get
Step 4:
Property to get
Step 1:
Property to get
Step 2:
Property to get
Step 3:
Property to get
Step 4:
Property to get
Answer
Solving the inequality for x, which statement shows a good first step and which is the correct solution?
x−6<x4
(2 points)
Responses
Divide both sides of the inequality by 4 to simplify: x4−32<x
Divide both sides of the inequality by 4 to simplify: x4−32<x
Multiply both sides by 4 to clear the inequality of fractions: 4x−24<x
Multiply both sides by 4 to clear the inequality of fractions: 4x−24<x
Divide both sides of the inequality by x to simplify: 1−6x<4
x<6
Divide both sides of the inequality by x to simplify: 1−6x<4
x<6
Multiply both sides by x to get the "x" terms on the same side of the inequality: x−6<4
x−6<x4
(2 points)
Responses
Divide both sides of the inequality by 4 to simplify: x4−32<x
Divide both sides of the inequality by 4 to simplify: x4−32<x
Multiply both sides by 4 to clear the inequality of fractions: 4x−24<x
Multiply both sides by 4 to clear the inequality of fractions: 4x−24<x
Divide both sides of the inequality by x to simplify: 1−6x<4
x<6
Divide both sides of the inequality by x to simplify: 1−6x<4
x<6
Multiply both sides by x to get the "x" terms on the same side of the inequality: x−6<4
Answered by
GPT 3.5
The number of x's on both sides of the equation is different a≠b - 1 solution
The number of x's is the same on both sides of the equation, and the constant is different a=b, c1≠c2 - infinitely many solutions
The number of x's is the same on both sides of the equation and the constant is also the same a=b, c1=c2 - 1 solution
The number of x's is the same on both sides of the equation, and the constant is different a=b, c1≠c2 - infinitely many solutions
The number of x's is the same on both sides of the equation and the constant is also the same a=b, c1=c2 - 1 solution
Answered by
GPT 3.5
Step 1: Distributive Property to get rid of the parentheses
2x - 5 = 12x + 15
Step 2: Combine like terms by subtracting 12x from both sides
-10x - 5 = 15
Step 3: Add 5 to both sides to isolate the variable
-10x = 20
Step 4: Divide both sides by -10 to solve for x
x = -2
2x - 5 = 12x + 15
Step 2: Combine like terms by subtracting 12x from both sides
-10x - 5 = 15
Step 3: Add 5 to both sides to isolate the variable
-10x = 20
Step 4: Divide both sides by -10 to solve for x
x = -2
Answered by
GPT 3.5
Divide both sides of the inequality by 4 to simplify: x/4 - 3/2 < x
This is the correct first step.
The correct solution is: x < 12/5 or x < 2.4
This is the correct first step.
The correct solution is: x < 12/5 or x < 2.4