Pre-assessment: Systems of Linear Equations

Who is the founder of the rectangular coordinate system?

• Rene Descartes

• Diophantus

• Leonhard Euler

• Carl Friedrich Gauss

What do you call to the ordered pair that makes an equation true?

• Solution

• Point

• Origin

• Lines

Which of the following ordered pair is a solution of 

 $3x-5y=-16$  ?

•  $(-2,\ 2)$  

•  $(-2,-2)$  

•  $(2,\ 2)$  

•  $(2,-2)$  

Which ordered pair is a solution of

 $4x-3y=7$ ?

•  $(1,\ 1)$  

•  $(1,-1)$  

•  $(-1,\ 1)$  

•  $(4,-1)$  

A solution of the system

 $2x+y=7$  and   $5x-y=14$  is  $(3,\ 1)$  . How are the graphs of the two equations related?

• The graphs are parallel.

• The graphs coincide.

• The graphs intersect at  $(3,1)$   .

• The graphs coincide at  $(3,1)$  .

Solve the given system by substitution method: 

 $4x+y=14$  &  $5x-3y=9$  

•  $(-3,\ 2)$  

•  $(-3,\ -2)$  

•  $(3,-2)$  

•  $(3,\ 2)$  

Solve the given system by elimination method: 

 $4x-3y=8$  &  $7x+3y=-19$  

•  $(1,\ 4)$  

•  $(-1,-4)$  

•  $(1,-4)$  

•  $(-1,\ 4)$  

The sum of the digits is 7. If the digits are reversed, the number is increased by 27. Find the original number.

• 25

• 16

• 34

• 43

The sum of the ages of a mother and a son is 49 years. The difference of their ages is 21 years. What are their ages?

• The mother is 35 years old and her son is 14 years old.

• The mother is 40 years old and her son is 9 years old.

• The mother is 39 years old and her son is 10 years old.

• The mother is 36 years old and her son is 13 years old.

Translate the phrase into a mathematical statement:

"The sum of a number x and number y is 5"

Note: Do not put spaces in typing your answer.