Linear Equations, Two Unknowns

Practice Questions

GMAT Quantitative Reasoning › Linear Equations, Two Unknowns

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1

A toy store sells dolls for dollars each and trucks for dollars each. How many dolls did the store sell last week?

(1) Last week, the store sold twice as many trucks as dolls.

(2) Last week, the store made , dollars from selling trucks and dolls.

2

Data Sufficiency Question

Solve for , , and :

1.

2.

3

Is the equation linear?

Statement 1:

Statement 2: is a constant

4

Data Sufficiency Question

Solve for and :

1.

2.

5

Given that both , how many solutions does this system of equations have: one, none, or infinitely many?

Statement 1:

Statement 2:

6

How many solutions does this system of equations have: one, none, or infinitely many?

Statement 1:

Statement 2:

7

Solve the following for x:

4x+7y = 169

1. x > y

2. x - y = 12

8

Data Sufficiency Question

Solve for and .

1.

2. Both and are positive integers

9

Is the equation linear?

Statement 1:

Statement 2: is a constant

10

Data Sufficiency Question

Solve for , , and :

1.

2.

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