Identify the first step in solving this equation for x : 7(x − 8) = 49 . (1 point)
Responses
Divide only the left side by 7.
Divide only the left side by 7.
Divide both sides by 7.
Divide both sides by 7.
Multiply both sides by 7.
Multiply both sides by 7.
Add 8 to both sides.
Divide both sides by 7.
The first step in solving the equation 7(x - 8) = 49 is to divide both sides by 7.
Identify the second step in solving this equation for y : −3(y + 6) = 21 . (1 point)
Responses
Divide both sides by 6.
Divide both sides by 6.
Subtract 6 from both sides.
Subtract 6 from both sides.
Divide both sides by −3.
Divide both sides by negative 3.
Add 6 to both sides.
Divide both sides by -3.
The correct first step in solving the equation 7(x - 8) = 49 is to divide both sides of the equation by 7. By dividing both sides by the same number, you eliminate the coefficient of the variable on one side of the equation and isolate the variable. This helps you to simplify the equation and solve for the unknown variable.
For which equation is the order of steps to first divide both sides by 6 and then to add 8 to both sides?(1 point)
Responses
6x − 8 = 48
6 x minus 8 equals 48
6(x − 8) = 48
6 left parenthesis x minus 8 right parenthesis equals 48
6(x + 8) = 48
6 left parenthesis x plus 8 right parenthesis equals 48
8(x − 6) = 48
8 left parenthesis x minus 6 right parenthesis equals 48
For the equation 6x − 8 = 48, the order of steps to first divide both sides by 6 and then to add 8 to both sides is correct.
For which equation is the order of steps to first divide both sides by 2 and then to subtract 10 from both sides?(1 point)
Responses
2x + 10 = 16
2 x plus 10 equals 16
2(x + 10) = 16
2 Left Parenthesis x plus 10 Right Parenthesis equals 16
2(x − 10) = 16
2 Left Parenthesis x minus 10 Right Parenthesis equals 16
10(x + 2) = 16
For the equation 2(x − 10) = 16, the order of steps to first divide both sides by 2 and then to subtract 10 from both sides is correct.
What is the solution of the equation −4(z + 12) = 36 when solving for z? (1 point)
Responses
24
24
−21
negative 21
21
21
−6