Solving
What is the first step in solving the equation 2x + 5 = 15?
Subtract 5 from both sides.
What is a multi-step equation?
An equation that requires more than one step to solve.
How would you check your solution for x = 5 in 2x + 1 = 11?
Substitute 5 back into the equation and verify.
A number increased by 7 equals 15. Write an equation.
x + 7 = 15.
Solve for x: 3x - 4 = 14
x = 6
Identify the variable in the equation 7x - 3 = 18.
x
Explain how to solve 4(x + 1) = 20.
Divide by 4, then subtract 1.
If three times a number is 12, what is the number?
x = 4
What is the solution to 4(x - 2) = 12?
x = 5
What does it mean to isolate the variable?
To get the variable by itself on one side of the equation.
How do you rewrite x/3 + 2 = 5 to solve for x?
Multiply both sides by 3 and then subtract 2.
Write an equation for: "Twice a number decreased by 4 equals 10.
2x - 4 = 10
Solve: 5(x + 3) = 4x + 20
x = 5
Identify the constant in 2x + 6 = 12
6
Explain the importance of maintaining balance in an equation.
What you do to one side must be done to the other to keep it equal.
A number divided by 4 equals 3. What is the number?
x = 12
What is the value of x in 2(3x - 1) + 4 = 10?
x = 2
What is the coefficient in 3x + 5 = 20?
3
What steps would you take to solve x/2 - 3 = 1?
Add 3 to both sides, then multiply by 2.
If a number is multiplied by 5 and then decreased by 6, the result is 24. Write and solve the equation.
5x - 6 = 24, so x = 6.