Practice solving two-step equations with whole numbers, fractions, decimals, and real-world situations.
Solve each equation carefully. Show each inverse operation and check your answer when possible.
Use inverse operations to find the unknown value
Math - Grade 6-8
- 1
Solve for x: 3x + 5 = 20.
- 2
Solve for y: 4y - 7 = 17.
- 3
Solve for n: n/5 + 9 = 14.
- 4
Solve for a: 2a + 11 = 31.
- 5
Solve for p: 6p - 8 = 28.
- 6
Solve for m: m/3 - 4 = 10.
- 7
Solve for z: 5z + 2 = -18.
- 8
Solve for t: -2t + 6 = 16.
- 9
Solve for r: 7r - 3 = 39.
- 10
Solve for k: k/2 + 6 = 13.5.
- 11
Solve for b: 3.5b - 4 = 10.
- 12
A movie ticket costs $8, and a snack costs $3. Mia spent $35 on tickets and one snack. If x is the number of tickets she bought, write and solve an equation for x.
- 13
A taxi charges a $5 starting fee plus $2 per mile. The total cost is $23. If m is the number of miles, write and solve an equation for m.
- 14
Solve for q: (q - 4)/3 = 8.
- 15
A rectangle has a perimeter of 34 centimeters. Its length is 10 centimeters, and its width is w centimeters. Use the equation 2w + 20 = 34 to find the width.