Algebra Chapter Systems

Danny has a jar of 426 nickels and quarters he has been collecting. The total value of the coins is $115.90. How many quarters does Danny have?

• 426 quarters

• 188 quarters

• 357 quarters

• 127 quarters

Robin purchased toys at the toy store. She bought squishies for $3 each and surprise eggs for $2 each. She spent a total of $59 on a total of 22 items. Determine how many squishies and surprise eggs Robin purchased.

• 15 squishies

  7 surprise eggs

• 7 squishies

  15 surprise eggs

• 11 squishies

  11 surprise eggs

• 18 squishies

  4 surprise eggs

Best Buy is known for their computer and television sales. They have 77 computers and televisions on display. There are 5 more televisions on display than twice as many computers on display. How many computers and televisions are on display at Best Buy?

• 24 computers and 53 televisions

• 53 computers and 24 televisions

• 31 computers and 46 televisions

• 46 computers and 31 televisions

What is the solution to the system of equations below?

2x + y = 9

10x + 5y = 45

• The ordered pair (0,9) is the solution.

• The ordered pair (2/9,0) is the solution.

• There are an infinite number of solutions.

• There is no solution.

Which system of inequalities best represents the graph below?

• y ≥ 2x + 3

  y < -3x - 1

• y ≥ -2x + 3

  y < 3x - 1

• y ≤ 2x - 1

  y > -3x + 3

• y ≤ 2x - 1

  y > -3x + 3

Which system of equations can be used to best represent the graph?

• 2x + y = 3

  x - y = -2

• 2x + y = -3

  x + y = 4

• 2x - y = 3

  x - y = 4

• 2x - y = -3

  x + y = -2

Zach made an 80 on a test by answering 7 questions correctly. The test had two types of questions, multiple choice worth 2 points each and short answer worth 5 points each. If Zach answered m multiple choice questions correctly and s short answer questions correctly, which system of equations can be used to determine the number of short answer and multiple choice questions Zach answered correctly?

• 5s + 2m = 80

  s + m = 7

• 5m + 2s = 80

  s + m = 7

• 5s + 2m = 7

  s + m = 80

• 5m + 2s = 7

  s + m = 80

A set of data points has a correlation coefficient of -0.9874. Which of the following is true about the strength and correlation?

• strong, negative correlation

• strong, positive correlation

• weak, positive correlation

• weak, negative correlation

A set of data points has a correlation coefficient of 0.5376. Which of the following is true about the strength and correlation?

• strong, negative correlation

• strong, positive correlation

• weak, positive correlation

• weak, negative correlation

Solve the system of equations.

x + y = 7

x + 2y = 11

• (3, 4)

• (4, 3)

• (-2, 1)

• (1, -2)