# ECAT – Mathematics (Algebra)

The following questions are from essentials of Algebra at middle level. The topics that are included are Exponents and Radicals, Polynomials, Systems of Equations and Inequalities.

**Mathematics-Algebra Sample Questions**

1. 4^{2} + |4| + |−4| − 4^{2} = ?

(A) −4

(B) 0

(C) 4

(D) 8

2.

(A) 1

(B) 3

(C) 9

(D) 27

3.

(A) 1

(B) 3

(C) 9

(D) 27

4.

(A)

(B) 2

(C) 4

(D) 8

5. What is the value of x in the equation

(A) 12

(B) 14

(C) 16

(D) 18

**Answers**

**1. D**

**2. C**

**3. B**

**4. B**

**5. A**

6. What is the solution interval of the inequality

(A) (∞,4)

(B) (−∞,4]

(C) (−4,∞)

(D) [4,∞)

7. What is the value of x in the equation

(A) 0

(B) 2

(C) 4

(D) 6

8. The price (in cents) of one orange is 5c. What is the price (in dollars) of one dozen of oranges?

(A) 30c

(B) 60c

(C)

(D)

9. At present, the age of Alice is x–10 years. What will be her age after 12 years?

(A) x+2

(B) x–2

(C) x+12

(D) x–12

10. Mr. A can do a particular work in 6 hours, and Mr. B can do the same work in 14 hours. How much time it will take if they do the work together?

(A) 4 hours and 6 minutes

(B) 4 hours and 12 minutes

(C) 4 hours and 18 minutes

(D) 4 hours and 24 minutes

**Answers**

**6. D**

**7. C**

**8. C**

**9. A**

**10. B**