Lesson 6-1

Which of the above represents a system of linear equations

• I

• II

• III

Is (3, −4) a solution of the system?

• Yes

• No

Marine biologists studied the lengths of two species of shark for several years. The initial length and growth rate of each species are shown in the table. Write a system of equations the biologists could use to compare the lengths of the two species.

• 
  

  $l\ =37\ +0.75t$

  $l\ =\ 22+1.5t$
  

• $l=22+0.75t$
  $l\ =37+1.5t$

• $l=37+0.75$
  $l=22+1.5$

• $l=10+0.75t$
  $l=37+0.5t$

Choose the systems of equations from above.

• A

• B

• C

• D

Choose the ordered pair that is a solution to the system of equations.

• (4, 3)

• (4, 4)

• (6, 6)

• (8, 9)

The table shows the initial height and growth rate of an apple tree and a cherry tree. Write a system of equations the gardener could use to determine the time t when the height h of the two trees will be the same.

• $h=2.12+1.2t$
  $h=2.75+1.38t$
  

• $h=2.75+1.2t$
  $h=2.12+1.38t$
  

• $h=2.75+1.2$
  $h=2.12+1.38$
  

• $t=2.75+1.2h$
  $t=2.12+1.38h$
  

Two brothers decide to save money. One starts with $10 and saves $2 each day. The other starts with none but saves $3 each day. Write a system of linear equations to determine the time t when the brothers have the same amount of money (M) saved.

• $m\ =\ 10+2t$
  $m\ =3t$
  

• $m=2+10t$
  $m=3t+10$
  

• $t=10+2m$
  $t=3m$
  

• $m=2t$
  $m=3t$

A classmate uses the system of equations below to conclude that (2, 5) is a solution of the system of equation shown above. Is he/she correct?

• Yes

• No

Is the ordered pair (3, 2) a solution of the following system of linear equations?

• Yes, because it is a solution of one of the equations.

• No, because it is only a solution of one of the equations.

• Yes, because it is a solution of both equations.

• No, because it is not a solution of either equation.

Which ordered pair is a solution of the systems of linear equations?

• $\left(-5,\ -3\right)$

• $\left(2,\ -3\right)$

• $\left(-5,\ 2\right)$

• $\left(1,\ 0\right)$