Systems of Linear Equations Test Review

Systems of Linear Equations Test Review

Multiple Choice

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines
• the same line 
• Intersecting lines

Multiple Choice

If a system of equations has no solution, what does the graph look like?

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

Multiple Choice

^{What is the solution?}

• 1

• -2

• (1, 2)

• (1, -1)

Multiple Choice

Solve the system of equations.

x + y = 7

x + 2y = 11

• (3, 4)

• (4, 3)

• (-2, 1)

• (1, -2)

Multiple Choice

What is the value of the y-coordinate of the solution to the system of equations

x-2y=1

x+4y=7

• 1

• -1

• 3

• 4

Multiple Choice

A manager purchased a total of 21 coffee mugs and key chains. Each mug cost $8.50 and each key chain cost $2.75. If the manager spent $132.50, how many coffee mugs did he buy?

• 8

• 13

• 10

• 9

Multiple Choice

Which graph shows the following system?

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D

Multiple Choice

Adult and student tickets were sold for a school concert. The adult tickets cost $12 each, and the student tickets cost $8 each. If a total of 360 tickets were sold for $3,480, how many of each kind of ticket were sold?

• 300 adult tickets and 60 student tickets

• 200 adult tickets and 160 student tickets

• 180 adult tickets and 180 student tickets

• 150 adult tickets and 210 student tickets

Multiple Choice

It costs $19.00 to purchase 2 pounds of coffee and 3 pounds of tea while it is $41.50 to purchase 5 pounds of coffee and 6 pounds of tea. How much per pound is the price of coffee?

• $3.50

• $4.00

• $7.50

• $24.50

Multiple Choice

Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular. One night, the theater sells 578 tickets and collects $3365 in total ticket sales. Let M represent matinee tickets and R represent regular price tickets.

Which system best represents the situation?

• 4m + 7r = 578

  m + r = 3365

• 4m + 7r = 3365

  m + r = 578

• 4r + 7m = 578

  m + r = 3365

• 4r + 7m = 3365

  m + r = 578

Multiple Choice

Is the point (1, -1) a solution to the system:

3x - y = 4 and 7x + 2y = -5 ?

• Yes

• No

Multiple Choice

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. Which system of equations could be used to find the exact number of dimes and nickels?

• d + n = 6.60

  .10d + .05n = 80

• d + n = 80

  d + n = 6.60

• d + n = 80

  .10d + .05n = 6.60

• d + n = 80

  .05d + .10n = 6.60

Multiple Choice

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?

• 3x + 2y = 315

  2x + 4y = 450

• 3x + 2y = 450

  2x + 4y = 315

• 2x + 2y = 315

  3x + 4y = 450

Multiple Choice

Does the system have one, none or infinite solutions?

8x + 4y = 12

y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions