Evaluate expressions with fractions, decimals, absolute value and roots

Answer Key - Grade 9 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   Kira has a big fraction (it is taller than it looks). On the top: 1/2 + 1/3. On the bottom: 3/4 − 1/2. What is its value?

   10/3
2. 2.

   Noah has a big fraction. On the top: 3/8 + 1/4. On the bottom: 1 − 3/4. What is its value?

   5/2
3. 3.

   Pia's fraction has √x + |y| on the top and 2 on the bottom. What is its value when x = 49 and y = −5?

   6
4. 4.

   Ren's fraction has 3|y| − √x on the top and 4 on the bottom. What is its value when x = 25 and y = −3?

   1
5. 5.

   Tala's fraction has ∛x + |y| on the top and 5 on the bottom. What is its value when x = 64 and y = −6?

   2
6. 6.

   Zee's fraction has √x + 2|y| on the top and 5 on the bottom. What is its value when x = 81 and y = −4?

   3.4
7. 7.

   Ari scored 8.5, 9, 7.5 and 10 in four events (one wobbly cartwheel included). The mean has the total on the top and 4 on the bottom. What is the mean?

   8.75
8. 8.

   Bo bikes 6 km in 0.5 h, then 9 km in 1 h. Average speed has total distance on the top and total time on the bottom. What is it, in km per hour?

   10
9. 9.

   Esme reads 3/4 h, 1/2 h, 1/4 h and 1 h on four days. The mean has the total on the top and 4 on the bottom. What is the mean, in hours?

   5/8
10. 10.

    Jun hikes 3/2 km in 1/2 h, then 5/2 km in 1 h. Average speed has total distance on the top and total time on the bottom. What is it, in km per hour?

    8/3