GMAT Quantitative Reasoning - Algebra

1

What is the value of $\dpi{100} \small 2x+2y$ ?

Statement 1: $\dpi{100} \small x-3y=4$

Statement 2: $\dpi{100} \small x+y=4$

2

What is the value of $\dpi{100} \small 2x+2y$ ?

Statement 1: $\dpi{100} \small x-3y=4$

Statement 2: $\dpi{100} \small x+y=4$

3

What is the value of $\dpi{100} \small 2x+2y$ ?

Statement 1: $\dpi{100} \small x-3y=4$

Statement 2: $\dpi{100} \small x+y=4$

4

Consider the equation $x^{2} +Bx = C$

How many real solutions does this equation have?

Statement 1: There exists two different real numbers such that and

Statement 2: is a positive integer.

5

Consider the equation $x^{2} +Bx = C$

How many real solutions does this equation have?

Statement 1: There exists two different real numbers such that and

Statement 2: is a positive integer.

6

Define .

Evaluate $(f \circ g) (9)$ .

Statement 1:

Statement 2:

7

Define .

Evaluate $(f \circ g) (9)$ .

Statement 1:

Statement 2:

8

Define .

Evaluate $(f \circ g) (9)$ .

Statement 1:

Statement 2:

9

This relation has five different ordered pairs: is it a function?

$\begin{matrix} \underline{x}&\underline{y}\ 1& A\ 2& A\ 3& A\ B&A + 1 \ 5& A + 2 \end{matrix}$

Statement 1:

Statement 2:

10

Let be two positive integers. How many real solutions does the equation $x^{2} + Bx + C = 0$ have?

Statement 1: is a perfect square of an integer.

Statement 2: $C = \left ( \frac{B}{2} \right ) ^{2}$

Algebra