Topic 1: Additive property of equality with whole numbers
  1. If x + 7 = 12, find x.
  1. Solve for y: y + 15 = 20.
Topic 2: Additive property of equality with integers
  1. Solve for x: x + (-4) = 9.
  1. If z + 6 = -2, find z.
Topic 3: Additive property of equality with signed fractions
  1. Solve for x: x + (-1/3) = 2/3.
  1. If y + 3/4 = -1/2, find y.
Topic 4: Multiplicative property of equality with whole numbers
  1. If 3x = 15, find x.
  1. Solve for y: 7y = 28.
Topic 5: Multiplicative property of equality with fractions
  1. Solve for x: (1/2)x = 4.
  1. If (2/3)y = 8, find y.
Topic 6: Multiplicative property of equality with integers
  1. Solve for x: -5x = 20.
  1. If 4z = -12, find z.
Topic 7: Multiplicative property of equality with signed fractions
  1. Solve for x: (-2/3)x = 4/5.
  1. If (3/4)y = -9/2, find y.
Topic 8: Identifying solutions to a linear equation in one variable: Two-step equations
  1. Solve for x: 2x + 5 = 11.
  1. If 3y - 7 = 8, find y.
Topic 9: Additive property of equality with a negative coefficient
  1. Solve for x: -x + 4 = 10.
  1. If -y - 3 = 7, find y.
Topic 10: Using two steps to solve an equation with whole numbers
  1. Solve for x: 4x + 3 = 15.
  1. If 5y - 2 = 18, find y.
Topic 11: Solving a two-step equation with integers
  1. Solve for x: -3x + 4 = -8.
  1. If 2z - 5 = -11, find z.
Topic 12: Introduction to solving an equation with parentheses
  1. Solve for x: 2(x + 3) = 10.
  2. If 4(y - 2) = 8, find y.
Topic 13: Introduction to solving an equation with variables on the same side
  1. Solve for x: 3x + 2x = 10.
  1. If 5y - y = 16, find y.
Topic 14: Solving a linear equation with several occurrences of the variable: Variables on the same side
  1. Solve for x: 4x + 2x - 5 = 13.
  2. If 7y - 3y + 4 = 20, find y.
Topic 15: Solving a linear equation with several occurrences of the variable: Variables on both sides
  1. Solve for x: 3x + 4 = 2x + 7.
  2. If 5y - 3 = 2y + 6, find y.
Topic 16: Solving a linear equation with several occurrences of the variable: Variables on the same side and distribution
  1. Solve for x: 2(x + 3) + 4x = 18.
  1. If 3(y - 1) + 2y = 12, find y.
Topic 17: Solving a linear equation with several occurrences of the variable: Variables on both sides and distribution
  1. Solve for x: 2(x + 1) = 3x - 5.
  2. If 4(y - 2) = 2y + 6, find y.
Topic 18: Solving a linear equation with several occurrences of the variable: Fractional forms with monomial numerators
  1. Solve for x: (2/3)x + (1/3)x = 5.
  1. If (3/4)y - (1/2)y = 2, find y.
Topic 19: Solving equations with zero, one, or infinitely many solutions
  1. Solve for x: 2x + 3 = 2x + 5.
  1. If 4y - 8 = 4(y - 2), find y.
Topic 20: Solving a multi-step equation given in fractional form
  1. Solve for x: (x + 3)/2 = 5.
  1. If (2y - 1)/3 = 4, find y.
Topic 21: Solving for a variable in terms of other variables using addition or subtraction: Basic
  1. Solve for x in terms of y: x + y = 5.
  1. If z - w = 3, solve for z in terms of w.
Topic 22: Solving for a variable in terms of other variables using addition or subtraction: Advanced
  1. Solve for x in terms of y and z: x + 2y - z = 4.
  1. If a - 3b + c = 7, solve for a in terms of b and c.
Topic 23: Solving for a variable in terms of other variables using multiplication or division: Basic
  1. Solve for x in terms of y: 3x = y.
  1. If 2z = w, solve for z in terms of w.
Topic 24: Solving for a variable in terms of other variables using addition or subtraction with division
  1. Solve for x in terms of y: (x + y)/2 = 3.
  1. If (z - w)/3 = 5, solve for z in terms of w.