Fun with Math

What is the first step in solving a system by Substitution?

• Make sure both equations are in standard form.
• Make sure at least one equation is solved for one variable.
• Make sure both equations are in slope-intercept form.
• Make sure both equations can be solved.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Find the solution of the given simultaneous equations.

 $y\ =\ 2x-3$  

 $3x-2y=4$  

• (2, 1)

•  $\left(-\frac{7}{3},-\frac{23}{3}\right)$  

• (-7, -17)

• (7, 4)

• no solution

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve
 $x=7-2y$  
 $2x+y=5$  

• (-1,4)

• (4,-1)

• (1,3)

• (3,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve
 $2x+3y=0$  
 $x-3y=9$  

•  $x=2,\ y=-3$  

•  $x=3,\ y=-2$  

•  $x=-3,\ y=2$  

•  $x=-2,\ y=3$  

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve
 $y=\frac{1}{2}x+2$ 

 $2y+3x=12$  

•  $x=2,\ y=3$  

•  $x=3,\ y=2$  

•  $x=1.5,\ y=4$  

•  $x=5,\ y=1$  

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Some horses and chickens are in a pasture. If there are a total of 28 animals and 80 legs, how many chickens and how many horses are there? (Hint: Write simultaneous equations and then solve)

• 10 horses, 18 chickens

• 16 horses, 12 chickens

• 12 horses, 16 chickens

• 18 horses, 10 chickens

Tags

CCSS.8.EE.C.8C

A man has 100 shares of stock A and 200 shares of stock B. The total value is $420. If he sells 50 shares of stock A and buys 60 shares of stock B the value is now $402. Find the price of each share.

• A = $2, B = $1
• A = $1, B = $2
• A = $1.20, B = $1.80
• A = $1.80, B = $1.20

Tags

CCSS.8.EE.C.8C

Two pencils and a ruler cost 49 cents in total. One pencil and two rulers cost 62 cents in total. Find the cost of each item.

• pencil: 13 cents

  ruler: 23 cents

• pencil: 15 cents

  ruler: 23.50 cents

• pencil: 12 cents

  ruler: 25 cents

• pencil: 18 cents

  ruler: 26 cents

Tags

CCSS.8.EE.C.8C

Solve:

3x + 2y = 15

7x + 2y = 19

• x = 1, y = -6

• x = -1, y = 6

• x = -1, y = -6

• x = 1, y = 6

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve:

5x + y = 9

10x − 7y = −18

• x = 1, y = 4

• x = -1 y = -4

• x = -1, y = 4

• x = 1, y = -4

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6