Math 7 ­ Solving Two­Step Equations (Chapter 4­4)
Solving Two-Step Equations
(Math 7)
Solve each equation.
Show all of your work.
1.) 6x + 5 = 29
Term: A number, a variable, or a
number and a variable being multiplied
together.
Coefficient: The numerical factor of a
term that contains a variable.
Multiplying with adding or
Subtracting
2.) 3 - 5y = -37
3.) 13 = 1 + 4s
Steps:
• Undo the adding or subtracting by
using the inverse operation (both sides).
• Follow the integer rules.
• Undo the multiplying through
division (inverse operation) to both sides.
• Follow the integer rules.
• Solve
• Check (by plugging in the answer)
Equations with Negative Coefficients
Steps:
• Change the subtraction sign to an
addition sign and change the
coefficient’s sign from positive to negative.
• Isolate the term with the negative
coefficient to one side of the equation.
(using inverse operations)
• Divide both sides of the equation
by the negative coefficient
(i.e. -4x àdivide both sides by -4)
• You should be left with a lone variable
on one side of the equation.
4.) -2y - 7 = 3
1
Math 7 ­ Solving Two­Step Equations (Chapter 4­4)
Solving Two-Step Equations
(Math 7)
Solve each equation.
Show all of your work.
1.) 6x + 5 = 29
Term: A number, a variable, or a
number and a variable being multiplied
together.
Coefficient: The numerical factor of a
term that contains a variable.
Multiplying with adding or
Subtracting
2.) 3 - 5y = -37
Steps:
• Undo the adding or subtracting by
using the inverse operation (both sides).
• Follow the integer rules.
• Undo the multiplying through
division (inverse operation) to both sides.
• Follow the integer rules.
• Solve
• Check (by plugging in the answer)
3.) 13 = 1 + 4s
Equations with Negative Coefficients
Steps:
• Change the subtraction sign to an
addition sign and change the
coefficient’s sign from positive to negative.
• Isolate the term with the negative
coefficient to one side of the equation.
(using inverse operations)
• Divide both sides of the equation
by the negative coefficient
(i.e. -4x àdivide both sides by -4)
• You should be left with a lone variable
on one side of the equation.
4.) -2y - 7 = 3
2
Math 7 ­ Solving Two­Step Equations (Chapter 4­4)
3
Math 7 ­ Solving Two­Step Equations (Chapter 4­4)
4