Topic 1: Additive property of equality with signed fractions
  1. Solve for x: x + (-2/5) = 3/10: x = 7/10.
  1. If y + 1/3 = -5/6, find y: y = -7/6.
Topic 2: Multiplicative property of equality with signed fractions
  1. Solve for x: (-3/4)x = 9/8: x = -3/2.
  1. If (2/5)y = -4/15, find y: y = -2/3.
Topic 3: Solving a multi-step equation given in fractional form
  1. Solve for x: (2x + 1)/3 = 5: x = 7.
  1. If (3y - 2)/4 = 2, find y: y = 10/3.
Topic 4: Solving a linear equation with several occurrences of the variable: Variables on the same side and distribution
  1. Solve for x: 3(x + 2) + 2x = 16: x = 2.
  1. If 2(y - 3) + 4y = 12, find y: y = 3.
Topic 5: Solving a linear equation with several occurrences of the variable: Variables on both sides and two distributions
  1. Solve for x: 2(x + 1) = 3(x - 2): x = 8.
  1. If 4(y - 1) = 2(2y + 3), find y: y = 5.
Topic 6: Solving for a variable in terms of other variables using multiplication or division: Basic
  1. Solve for x in terms of y: 5x = 2y: x = (2/5)y.
  1. If 3z = w, solve for z in terms of w: z = w/3.
Topic 7: Solving for a variable in terms of other variables using multiplication or division: Advanced
  1. Solve for x in terms of y and z: 2x = 3y - z: x = (3y - z)/2.
  1. If 4a = 2b + c, solve for a in terms of b and c: a = (2b + c)/4.
Topic 8: Solving for a variable in terms of other variables using addition or subtraction with division
  1. Solve for x in terms of y: (x + 2y)/3 = 4: x = 12 - 2y.
  1. If (z - w)/2 = 5, solve for z in terms of w: z = 10 + w.
Topic 9: Solving a decimal word problem using a linear equation of the form Ax + B = C
  1. A phone plan costs $0.15 per minute plus a $5 base fee. If the total bill is $12.50, how many minutes were used: 50 minutes.
  1. A taxi ride costs $2.25 per mile plus a $3.50 base fare. If the total cost is $10.25, how many miles were traveled: 3 miles.
Topic 10: Solving a one-step word problem using the formula d = rt
  1. A car travels at 60 mph for 2 hours. Find the distance traveled using d = rt: d = 120 miles.
  1. A cyclist rides at 15 mph for 3 hours. Calculate the distance using d = rt: d = 45 miles.
Topic 11: Finding the sale price given the original price and percent discount
  1. A shirt originally costs $40 and is discounted by 20%. Find the sale price: $32.
  1. A laptop priced at $800 has a 15% discount. Calculate the sale price: $680.
Topic 12: Finding the total cost including tax or markup
  1. A $50 item has a 6% sales tax. Find the total cost including tax: $53.
  1. A store marks up a $30 item by 25%. Calculate the total cost including markup: $37.50.
Topic 13: Finding the original price given the sale price and percent discount
  1. A jacket’s sale price is $48 after a 20% discount. Find the original price: $60.
  1. A phone’s sale price is $170 after a 15% discount. Calculate the original price: $200.