Algebraic Reasoning Worksheet-2

Algebraic Reasoning Worksheet-2

1. Find the missing number, n, in the following data set.

78, 65, 82, 91, 63, n, 89 and 78 mean = 80

A. 82                   B. 90                   C. 95                   D. 94

2. Find the missing operation.

(35 ? 7) + 18 ? 3 = 11

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

3. A foot has 12 inches. Which expression below shows the number of feet in y inches?

A. y ÷ 12             B. 12 ÷ y             C. y + 12             D. 12y

4. Find the value of x in the equation below.

x + 15 = 42 – 2x

A. 18                   B. 27                    C. 12                    D. 9

5. Find the value of y in the following equation, if x = 3?

2x + 2y = 18 - y

A. 4                     B. 3                     C. 12                    D. 6

6. Find the CORRECT operation for the circle and the box.

6(72  □  12) □ (8 × 3 ) = 864

A. ÷ in the first box  and × in the second box     

B. ÷ in the first box and + in the second box  

C. + in the first box and × in the second box  

D. × in the first box and ÷ in the second box  

7. What relationship does the table show in between y and x?

A. y = x + 6        B. y = x – 6        C. y = 6x            D. y = x + 4

8. What is the value of y in the following equation?

3y – 6 = y – 2

A. 4                     B. 6                     C. 8                     D. 2

9. In the equation below, if x has a value of 7, what is the value of y?

y = 4x − 9

A. 28                   B. 37                   C. 19                    D. 18

10. Find the value of x in the following equation.

6(x + 5) = 4(2x + 1)

A. 12                    B. 26                   C. 13                    D. 2

Answer Key:

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