**Multi-Step Math Word Problems for Grades 7 and 8**

**Practice 7th and 8th grade math word problems that have more than one step. Includes answer key at the end.**

**Problem 1:**

**Percentages**Jane bought a dress for $120. The store had a sale offering a 25% discount. After the discount, she also had to pay a 6% sales tax. What was the final price of the dress?

**Problem 2: Proportions**If 3 kg of apples cost $12, how much would 7 kg of apples cost?

**Problem 3: Algebraic Equations**Solve for x: 3x+5=2x+123x+5=2x+12.

**Problem 4: Geometry -**Area A rectangle has a length of 12 cm and a width of 8 cm. What is the area of the rectangle?

**Problem 5: Volume A**cylindrical can has a radius of 5 cm and a height of 10 cm. Calculate the volume of the can. (Use π ≈ 3.14)

**Problem 6: Speed and Distance**A car travels at a speed of 60 km/h. How long will it take to travel a distance of 150 km?

**Problem 7:**

**Probability**A box contains 5 red balls, 3 blue balls, and 2 green balls. What is the probability of drawing a red ball?

**Problem 8:**

**Ratios**The ratio of boys to girls in a class is 3:4. If there are 21 boys, how many girls are there?

**Problem 9:**

**Simple Interest**Calculate the simple interest earned on a principal amount of $500 at an interest rate of 5% per annum for 3 years.

**Problem 10:**

**Perimeter**A square has a side length of 7 cm. What is the perimeter of the square?

**Problem 11:**

**Temperature Conversion**Convert 68°F to Celsius using the formula C=59(F−32)C=95(F−32).

**Problem 12:**

**Inequalities**Solve the inequality 4x−7>54x−7>5.

**Problem 13:**

**Coordinate Geometry**Find the midpoint of the line segment joining the points (2, 3) and (6, 7).

**Problem 14:**

**Percent Change**The price of a book increased from $20 to $25. What is the percentage increase?

**Problem 15:**

**Function Evaluation**If f(x)=2x2−3x+4f(x)=2x2−3x+4, find f(2)f(2).

**Problem 16:**

**Linear Equations**Find the slope of the line passing through the points (1, 2) and (4, 8).

**Problem 17:**

**Volume of a Rectangular Prism**A rectangular prism has a length of 8 cm, a width of 5 cm, and a height of 10 cm. What is its volume?

**Problem 18:**

**Surface Area**Find the surface area of a cube with a side length of 4 cm.

**Problem 19:**

**Exponents**Simplify 23×22x23×22.

**Problem 20:**

**Percent of a Number**What is 15% of 200?

**Problem 21:**

**Time Conversion**Convert 2 hours and 45 minutes to minutes.

**Problem 22:**

**Systems of Equations**Solve the system of equations: 2x+y=102x+y=10 x−y=1x−y=1

**Problem 23:**

**Quadratic Equations**Solve x2−5x+6=0x2−5x+6=0.

**Problem 24:**

**Mean, Median, Mode**Find the mean, median, and mode of the set of numbers: 4, 8, 6, 5, 3, 4, 7.

**Problem 25:**

**Probability**If you roll two six-sided dice, what is the probability of getting a sum of 7?

**Problem 26:**

**Area of a Triangle**Find the area of a triangle with a base of 10 cm and a height of 5 cm.

**Problem 27:**

**Algebraic Expressions**Simplify 3a+4a−2a3a+4a−2a.

**Problem 28:**

**Distance Formula**Find the distance between the points (1, 2) and (4, 6) using the distance formula.

**Problem 29:**

**Volume of a Sphere**Calculate the volume of a sphere with a radius of 6 cm. (Use π ≈ 3.14)

**Problem 30: Discount and Sales Tax**A bicycle originally costs $200. It is on sale for 20% off. After the discount, a 5% sales tax is applied. What is the final price?

**Answer Key**

1) $95.40

2) $28

3) x=7x=7

4) 96 cm²

5) 785 cm³

6) 2.5 hours

7) 1221 or 50%

8) 28 girls

9) $75

10) 28 cm

11) 20°C

12) x>3x>3

13) (4, 5)

14) 25%

15) 6

16) 2

17) 400 cm³

18) 96 cm²

19) 25=3225=32

20) 30

21) 165 minutes

22) x=3,y=4x=3,y=4

23) x=2x=2 or x=3x=3

24) Mean: 5.29, Median: 5, Mode: 4

25) 1661

26) 25 cm²

27) 5a5a

28) 5 units

29) 904.32 cm³

30) $168

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