Algebraic Reasoning Worksheet-3

Algebraic Reasoning Worksheet-3

1. Evaluate the following equation for m = 63.

(m/9) – 4

A. 2                     B. 3                     C. 36                   D. 59

2. Which operation will go in the red box and blue box?

(84 ÷ 4) + (13 × 4) = 73

A. × in the red box and ÷ in the blue box

B. ÷ in the red box and + in the blue box

C. + in the red box and × in the blue box

D. ÷ in the red box and – in the blue box

3. Which of the following equations is used in the following table?

A. a = y + 2        B. a = y + 3        C. a = 3y + 1      D. a = y – 3

4. Find the value of x.            

(6/x) = (3/7)

A. 14                    B. 16                    C. 42                   D. 18

5. Mom cuts a watermelon into several pieces and gives one-fifth to Manisha and two-fifth to Jyoti. If Jyoti gets 6 pieces, how many pieces does Manisha get?

A. 3                     B. 6                     C. 7                      D. 4

6. Which equation is used to create the following functional table?

A. y = x/4          B. y = x + 6        C. y = 3x + 5     D. y = 4x

7. What value for n will make the following equation true?

225 + 105 = 25 × 9 + ( 15 × n)

A. 3                     B. 4                     C. 7                      D. 6

8. There are 60 minutes in one hour. If Anusha did babysitting for n hours on Monday, which expression below shows the number of minutes she did babysitting?

A. n + 60            B. n − 60            C. n/60              D. n × 60

9. What is the value of n?

n × 7 = 21 × 3

A. 7                      B. 9                     C. 8                     D. 63

10. What is the value of x(9 – y), if x = 4 and y = 6?

A. 10                   B. 12                   C. 36                   D. 16

Answer Key:

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