Review Systems of Linear Equations and Inequalities

On a graph, the solution to a system of linear equations is given by _____.

• The x-intercept of each line

• The y-intercept of each line

• All points on either line

• The point of intersection of the lines

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

Look at the graph to the left.

 

Which of the following ordered pairs represents the solution to the system?

• (1, 2)

• (2, 2)

• (2, 1)

• (0, 2)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

• 
• 
• 
• 

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

• (-1, 1)

• (1, -1)

• (2, -1)

• (1, 1)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Vans charges $140 per pair of shoes and Nike charges $135 per pair of shoes plus $20 for shipping and handling. Which system of equations could be used to answer the question, "For what number of shoes do both companies charge the same price?"

• y = 140

  y = 135 + 20x

• y = 140

  y = 135x + 20

• y = 140x

  y = 135x + 20

• y = 140x

  y = 135 + 20x

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Jack's work is shown on the left. What can be concluded about the solution to the system based on Jack's work?

• Jack made a mistake

• There is no solution to the system

• There are infinitely many solutions to the system

• There is one solution to the system

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

For its winter fundraiser the senior class is selling wreaths and flower arrangements. Each wreath sells for $20 and each arrangement sells for $15. Sarah sold 12 items and raised $220.

 

         How many wreaths did Sarah sell?

• 4

• 6

• 8

• 10

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

• No solutions

• 1 solution

• 2 solutions

• Infinitely many solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Michelle and Julie are 17-year old twins, who decided to save their earnings to buy a car.  One week Michelle worked 8 hours and Julie worked 14 hours, and they saved $128.  The next week Michelle worked 12 hours, Julie worked 16 hours, and they earned $162. Write a system of equations to model the situation. Solve the system to determine how much each girl earns per hour.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6