Systems of Equations Review

What is the graph for the following equation?

 $x+2y=4$  

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What is the graph for the following equation?

 $2x+3y=-6$  

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What is the graph for the following equation? $-2x+5y=10$  

  

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Solving a Systems of Equations can be done by

• graphing.

• a table,

• using substitution method. 

• using elimination method.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The Fabulous Footballers scored an incredible 55

points during last night’s game. Interestingly, the number of field goals was one more than twice the number of touchdowns. The Fabulous Footballers earned seven points for each touchdown and three points for each field goal.

• $t=2f+1$
  $7t+3f=55$
  

• $f=2t+1$
  $7t+3f=55$
  

• $t=2f+1$
  $3t+7f=55$
  

• $f=2t+1$
  $3t+7f=55$
  

Tags

CCSS.8.EE.C.8C

The Fabulous Footballers scored an incredible 55 points during last night’s game. Interestingly, the number of field goals was one more than twice the number of touchdowns. The Fabulous Footballers earned seven points for each touchdown and three points for each field goal.

Solve the system to determine how many touchdowns and field goals the Fabulous Footballers made last night.

 $f=2t+1$  
 $7t+3f=55$  

There are ______ touchdowns and _____ feild goals.

Tags

CCSS.8.EE.C.8C

Kevin and his little sister, Katy, are trying to solve the system of equations shown below.
 $y=6x-1$  
 $3x+2y=43$  
Kevin thinks that using the Substitution Method should give a new equation of  $3(6x−1)+2y=43$ , while Katy thinks it should be  $3x+2(6x−1)=43$ . 

Who is correct?

• Kevin

• Katy

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

When Ms. Shreve solved an equation in class, she checked her solution and it did not make the equation true! Examine her work below and find her mistake(s).
1)   $5\left(2x-1\right)-3x=5x+9$  

2)   $10x-5-3x=5x+9$  

3)   $7x-5=5x+9$  
4)   $12x-5=9$  
5)   $12x=4$  
6)   $x=\frac{1}{3}$  

• In step 2, the  $5$  was not distributed correctly.

• In step 3,  $10x$  and  $3x$  was not combined correctly.

• In step 4, she added  $5x$  instead of using the inverse operation of  $-5x$  .

• In step 5, she subtracted  $5$  instead of using the inverse operation of  $+5$  .

• In step 6, she didn't divide both sides by 12.

Tags

CCSS.HSA.REI.A.1

Hotdogs and corndogs were sold at last night’s football game.

The number of hotdogs sold was three fewer than twice the number of corndogs sold. A hotdog costs $3 and a corndog costs $1.50. If $201 was collected, write an equation to represent this information.

• $c=2h-3$
  $3.00h+1.50c=201$
  

• $c=2h-3$
  $1.50h+3.00c=201$

• $h=2c-3$
  $1.50h+3.00c=201$

• $h=2c-3$
  $3.00h+1.50c=201$
  

Tags

CCSS.8.EE.C.8C

Hotdogs and corndogs were sold at last night’s football game.

The number of hotdogs sold was three fewer than twice the number of corndogs sold. A hotdog costs $3 and a corndog costs $1.50. If $201 was collected, write an equation to represent this information.

 $h=2c-3$  
 $3.00h+1.50c=201$  

How many corndog were sold?

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6