**Algebraic Reasoning Worksheet-4**

- Find the CORRECT answer.

(22 − 5) − (81 ÷ 9)

A. 8 B. 9 C. 17 D. 16

- Rs.D is the cost of the shirt Mohit purchased. He will have to pay additional Rs.7.50 for the shipping. Which option expresses the cost of the shirt with shipping included?

A. D − 7.50 B. D × 7.50 C. D ÷ 7.50 D. D + 7.50

- If y = 10, what is the value of 3y + 7(4 + y)?

A. 70 B. 118 C. 108 D. 128

- Shriya is carrying some peaches and pears in her grocery bag. She has 4 more pears than peaches. She has 28 peaches and pears altogether. How many peaches and pears are there in her bag?

A. 16 peaches and 20 pears B. 12 peaches and 16 pears

C. 12 peaches and 18 pears D. 18 peaches and 22 pears

- 5(45 ÷ 5) + 6(16 + 4)= ?

A. 160 B. 200 C. 120 D. 165

- If 10.5 is subtracted from twice a number N, the answer is 7.5. What is the value of the number N?

A. 18 B. 9 C. 15 D. 17

- What is the value of x in the following equation?

(x/12) = 60

A. 0.2 B. 48 C. 12 D. 720

- If 6x = 30 then x = ?

A. 50 B. 5 C. 180 D. 300

- There are 10 children participating in a show. Each child has 2 performances, and each performance is 3 minutes long. Which number sentence represents the total performance time? Assume n is the total performance time.

A. n = 10 × 2 × 3 B. n = (2 × 3) + 10

C. n = (10 × 3) + 2 D. n = (10 ÷ 2) × 3

- Niraj scored 97, 75, 89 and 91 on four math tests. What score would he need to make on his fifth test to have a mean score of 90?

A. 100 B. 96 C. 99 D. 98

**Answer Key:**

1. (a); 2. (d); 3. (d); 4. (b); 5. (d); 6. (b); 7. (d); 8. (b); 9. (a); 10. (d)