Systems of Equations and Inequalities Review

What is the x-value of the solution to this system of equations?

 $x=2y-4$  
 $7x+5y=-66$  

• -2

•  $-\frac{19}{7}$  

• -8

•  $-\frac{62}{19}$  

Tags

CCSS.HSA.REI.C.6

What is the solution to this system of equations?

 $10x-y=53$  

 $y=\frac{-13x+92}{2}$  

• (6,7)
  

• (2,33)

• (7,6)

• (33,2)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

The tables of ordered pairs represent some points on the graphs of lines q and v. 

Which system of equations is represented by lines q and v?

•  $21x-y=9$  
   $5x+6y\ =\ 40$  
  

•  $3x-y=-27$  
   $x+2y=16$  
  

•  $21x-y=9$  
   $5x+6y=20$  
  

•  $9x-y=-27$  
   $x+2y=8$  
  

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

Two customers went to a post office to buy postcards and large envelopes. Each postcard costs the same amount, and each large envelope costs the same amount.

• The first customer paid $12 for 14 postcards and 5 large envelopes.
• The second customer paid $24.80 for 10 postcards and 15 large envelopes.

What was the cost in dollars of each large envelope?

• $1.42

• $0.35

• $1.15

• $0.63

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

Which of the following systems of equations matches the graph below?

• 3x - 4y = 11

  4x + y = 2

• 3x + 4y = 11

  4x - y = 2

• 3x - 4y = -11

  4x + y = -2

• 3x - 4y = -11

  4x + y = -2

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

A new spiral notebook contains 30 more sheets of paper than a new memo book. The total number of sheets of paper in 3 new spiral notebooks and 5 new memo books is 810. Which system of equations can be used to find s, the number of sheets of paper in one new spiral notebook, and m, the number of sheets of paper in one new memo book.

• s - m = 30

  3s +5 = 810

• s + m = 30

  3s +5m = 810

• s - m = 30

  5s + 3m = 810

• s + m = 30

  5s + 3m = 810

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

CCSS.HSA.SSE.A.1

Sharon and Miles bought some clothes at a store. They bought some shirts (S) and then each person bought 1 pair of shoes (P). The table below represents this.

Which system of equations can be used to find the cost of the pair of shoes that they each purchased?

• 3S + P = 125

  5S + P = 95

• 3S + P = 95

  5S + P = 125

• 3P + S = 125

  5P + S = 95

• 3P + S = 95

  5P + S = 125

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

A bag contains 18 coins consisting of quarters and dimes. The total value of the coins is $2.85. Which system of equations can be used to determine the number of quarters, q, and the number of dimes, d, in the bag?

• 0.10q + 0.25d = 2.85

  q + d = 18

• 0.10q + 0.25d = 18

  q + d = 2.85

• 0.25q + 0.10d = 2.85

  q + d = 18

• 0.25q + 0.10d = 18

  q + d = 2.85

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

Which system of equations below shows 1 visible solution?

• 
• 
• 
• 

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

• The only solution to the system is (10,5)

• The only solution to the system is (0,14)

• The system has no solution

• The system has an infinite number of solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11