4-9 Practice "Writing Systems from Word Problems"

Find the y-value in the solution.

 $5x+y=-19$  

 $5x-4y=-24$  

Find the x-value of the solution to the system.

 $y=2x$  

 $y=10x-16$  

What is the domain and range of the graph?

• All real numbers greater than or equal to 0 and less than or equal to 24

• All real numbers less than or equal to 24

• All real numbers less than or equal to 12

• All real numbers greater than or equal to 0 and less than or equal to 12

The linear parent function  $f\left(x\right)=x$   is graphed.  The graph of a new line is formed using the function  $h\left(x\right)=2f\left(x\right)-3.$  Which statements about the relationship between the two graphs is true?

• The new line is steeper than the original line. 

• The new line is less steep than the original line. 

• The y-intercept of the new line has been translated down 3 units.

• The y-intercept of the new line has been translated up 3 units. 

Which system of equations represents the graph?

• $y=\frac{1}{3}x$
  $y=-2x-7$
  

• $y=-\frac{1}{3}x$
  $y=2x-7$
  

• $y=-3x$
  $y=\frac{1}{2}x-7$
  

• $y=3x$
  $y=-\frac{1}{2}x-7$
  

Sarah enjoys cutting lawns and charges $20 for each small lawn and $30 for each large lawn she mows. Sarah earned $140 for mowing 6 lawns. Write a system of equations that could be used to find x, small lawns and y, large lawns Sarah mowed.

• $30x+20y=140$
  $x+y=6$
  

• $50\left(x+y\right)=140$
  $x+y=6$
  

• $20x+30y=140$
  $x+y=6$
  

• $x+y=140$
  $x+y=6$
  

Tags

CCSS.8.EE.C.8C

The length of a rectangular playground is 4 meters less than 3 times the width. The perimeter is 64 meters. Write a system of equations that could be used to find l, the length and w, the width of the rectangular playground.

• $l=3w-4$
  $2l+2w=64$
  

• $l=3w-4$
  $l+w=64$
  

• $l=4-3w$
  $2l+2w=64$
  

• $l=4-3w$
  $l+w=64$
  

Tags

CCSS.8.EE.C.8C

A parking meter contains 4 times as many nickels as quarters. The meter contains $4.05 total. Write a system of equations that could be used to find n, the number of nickels and q, the number of quarters in the parking meter.

• $q=n+4$
  $0.05n+0.25q=4.05$
  

• $n=q+4$
  $0.05q+0.25n=4.05$
  

• $q=4n$
  $0.05n+0.25q=4.05$
  

• $n=4q$
  $0.05n+0.25q=4.05$
  

Tags

CCSS.HSA.CED.A.3

Mary's is twice as old as her nephew. The sum of their ages is 108. Write a system of equations that could be used to find x, Mary's age and y, the nephew's age.

• $y=2x$
  $x+y=108$
  

• $x=2y$
  $x+y=108$
  

• $x=y+2$
  $x+y=108$
  

• $y=x+2$
  $y=108-x$
  

Tags

CCSS.8.EE.C.8C

Michael spent $50 for 6 tigerfish and 8 goldfish. Shaun spend $5 more than Michael for 5 tigerfish and 10 goldfish. Write a system of equations that could be use the find t, the price of a tigerfish and g, the price of a goldfish.

• $8t+6g=50$
  $10t+5g=55$
  

• $6t+8g=50$
  $5t+10g=45$
  

• $6t+8g=50$
  $5t+10g=55$
  

• $8t+6g=50$
  $10t+5g=45$
  

Tags

CCSS.8.EE.C.8C