Algebra 1A Semester 2 Review Part 3

How many solutions does the following system of equations have? -2x + y = 3 -4x + 2y = 6

• One solution

• Two solutions

• No solutions

• Infinite solutions

A humane society has 73 dogs and cats to be adopted. The number of cats is 10

more than twice the number of dogs. How many of each animal is up for adoption?

Which system of equations can be used to solve this situation?

• d + c = 73

  c = 10 + 2d

• d - c = 73

  d = 10 + 2c

• d + c = 73

  d = 10 + 2c

• d - c = 73

  c = 10 + 2d

Solve the following system of equations. 3x - 2y = 1 2x + 2y = 4

• (2 , 1)

• (1 , 1)

• (0 , 2)

• (3, 0)

What error did the student make when starting to solve

the system of equations by elimination?

• The student combined 16 and 8 incorrectly.

• The student multiplied only one equation by a constant.

• The student combined 5x and x incorrectly.

• The student eliminated the wrong variable.

The following is a graph of a system of inequalities.

y < -2x - 1

y > 2x + 3

Which of the following ordered pairs are solutions to the system? Select all that apply.

• (-4, -2)

• (-1, 1)

• (-2, -1)

• (-2, 1)

Which equation represents a line that is parallel to AC?

• y = 2x - 3

• y = -2x - 1

• y = (1/2)x - 2

• y = (-1/2)x - (1/2)

Determine whether the lines are parallel, perpendicular, or neither.

• A. Parallel

• B. Perpendicular

• C. Neither

Which graph shows the solution to the following system of inequalities?

• 
• 
• 
• 

• 1.50g + 2.50r = 16.50

  g = 2r

  3 rides and 6 games

• 1.50g + 2.50r = 16.50

  g = r/2

  6 rides and 3 games

• 2.50g + 1.50r = 16.50

  g = 2r

  6 rides and 12 games

• 1.50g + 2.50r = 16.50

  g = r + 6

  4 rides and 6 games

Avery is selling t-shirts for $10 each and bracelets for $2 each. On Friday they sold

$250 worth of merchandise. There was a total of 37 items sold. Which system of

equations can you use to solve this problem?

• 10x + 2y = 250 x + y = 37

• 10x + 2y = 37 x + y = 250

• x + 2y = 250 10x + y = 37

• x + 2y = 250 10x + y = 37