The first step in solving the equation \( 20 = 6x - 4 \) for \( x \) is to add 4 to both sides. This will help to isolate the term with \( x \) on one side of the equation.
So, the correct response is:
Add 4 to both sides.
What is the first step in solving the equation 20 = 6x − 4 solving for x ?(1 point)
Responses
Subtract 20 from both sides.
Subtract 20 from both sides.
Add 4 to both sides.
Add 4 to both sides.
Subtract 4 from both sides.
Subtract 4 from both sides.
Divide both sides by 6.
7 answers
Shawnece is solving the equation x/7 − 4 = −6. One of her steps is to multiply both sides of the equation by 7. Why? (1 point)
Responses
Multiplying both sides by 7 undoes the subtraction in the original problem.
Multiplying both sides by 7 undoes the subtraction in the original problem.
Multiplying both sides by 7 undoes the addition in the original problem.
Multiplying both sides by 7 undoes the addition in the original problem.
Multiplying both sides by 7 undoes the division of x by 7 in the original problem.
Multiplying both sides by 7 undoes the division of x by 7 in the original problem.
The negative sign in −6 must be changed to positive.
Responses
Multiplying both sides by 7 undoes the subtraction in the original problem.
Multiplying both sides by 7 undoes the subtraction in the original problem.
Multiplying both sides by 7 undoes the addition in the original problem.
Multiplying both sides by 7 undoes the addition in the original problem.
Multiplying both sides by 7 undoes the division of x by 7 in the original problem.
Multiplying both sides by 7 undoes the division of x by 7 in the original problem.
The negative sign in −6 must be changed to positive.
The correct response is:
Multiplying both sides by 7 undoes the division of x by 7 in the original problem.
This step is taken to eliminate the fraction and simplify the equation for easier solving.
Tillie is solving an equation for x . Her first step is to subtract 8 from both sides of the equation. Which equation is she solving?(1 point)
Responses
12 − x = 8
12 minus x equals 8
12 = −x + 8
12 equals negative x plus 8
12 − x = −8
12 minus x equals negative 8
12 = −x − 8
Responses
12 − x = 8
12 minus x equals 8
12 = −x + 8
12 equals negative x plus 8
12 − x = −8
12 minus x equals negative 8
12 = −x − 8
If Tillie's first step is to subtract 8 from both sides of the equation, it means she is starting with an equation where the term "8" is on one side. The equation that would result in that operation is:
12 = −x + 8
When she subtracts 8 from both sides, she would be trying to isolate the term with \( x \) on one side.
Therefore, the correct response is:
12 = −x + 8
What is the first step in solving the equation 12(x + 7) = 0 for x?(1 point)
Responses
Divide both sides by 12.
Divide both sides by 12.
Add 7 to both sides.
Add 7 to both sides.
Subtract 7 from both sides.
Subtract 7 from both sides.
Multiply both sides by 12.
Responses
Divide both sides by 12.
Divide both sides by 12.
Add 7 to both sides.
Add 7 to both sides.
Subtract 7 from both sides.
Subtract 7 from both sides.
Multiply both sides by 12.
The first step in solving the equation \( 12(x + 7) = 0 \) for \( x \) is to divide both sides by 12. This helps to isolate the expression in parentheses.
So, the correct response is:
Divide both sides by 12.
1 answer