7th grade Math practice sheet
New York State Learning Standards · from Gradelings · Name: ______________________
Question 1
Which expression has the same value as 9 − 4?
- 9 + 4
- 9 + (-4)
- -9 + 4
- 4 − 9
9 + (-4)
Hint: Subtracting a number is the same as adding its opposite. The opposite of 4 is -4, so 9 − 4 = 9 + (-4) = 5.
Question 2
Use the order of operations: what is 4.2 × 3 − 9.9?
4.2 × 3 − 9.9
- 2.6
- 2.7
- 2.8
- 22.5
2.7
Hint: Multiply before subtracting: 4.2 × 3 = 12.6. Then 12.6 − 9.9 = 2.7.
Question 3
A class has 10 girls and 15 boys. What is the ratio of girls to boys in simplest form?
- 2:5
- 2:3
- 3:2
- 3:5
2:3
Hint: Write the ratio in order, girls first: 10:15. Divide both terms by 5, their greatest common factor: 2:3.
Question 4
Solve for x.
23 = 8x − 17
answer box
5
Hint: The x can be on either side. Add 17 on both sides: 40 = 8x. Then divide by 8: x = 5.
Question 5
A circle has a radius of 4 cm. What is its area? Use 3.14 for π and round to one decimal place.
⭕r = 4 cmanswer boxcm²
50.2 cm²
Hint: A = π × r × r ≈ 3.14 × 4 × 4 = 3.14 × 16 = 50.24. Rounded: 50.2 cm².
Question 6
The table shows every outcome of flipping a coin (H or T) and rolling a die. How many outcomes show heads and a number less than 3?
Coin 1 2 3 4 5 6 H H1 H2 H3 H4 H5 H6 T T1 T2 T3 T4 T5 T6 answer box
2
Hint: Find the matching cells: H1, H2. That's 2 of the 12 outcomes.
Question 7
A jug is 2/3 full. You pour out 2/5 of what is in it. What fraction of the whole jug did you pour out?
- 2/5
- 1/2
- 4/15
4/15
Hint: Find a fraction OF a fraction. Multiply.
Question 8
A taxi charges $4 to start, plus $2 for every kilometer. Is the cost proportional to the distance?
- Yes, because it goes up by $2 each time
- No, there is a starting fee
- Yes, because the starting fee is small
No, there is a starting fee
Hint: In a proportional relationship, doubling one amount doubles the other, and the ratio stays the same.
Question 9
Evaluate 2.1x + 5.0 when x = 6.
2.1x + 5.0, x = 6
answer box
17.6
Hint: Put 6 in for x. Multiply first, then add.
Question 10
A bag has 2 red and 5 blue marbles. You take out a red marble and do not put it back. What is the probability that the second marble is red?
- 2/7
- 1/3
- 1/6
1/6
Hint: After the first pick, there is one fewer red marble and one fewer marble in all.
Answer key
- 1. 9 + (-4) (Add & Subtract Integers)
- 2. 2.7 (Decimal Operations)
- 3. 2:3 (Fractions, Decimals & Percents)
- 4. 5 (Two-Step Equations)
- 5. 50.2 cm² (Circles)
- 6. 2 (Probability)
- 7. 4/15 (Fractions)
- 8. No, there is a starting fee (Percents & Proportions)
- 9. 17.6 (Algebra Moves)
- 10. 1/6 (Dependent Events)
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