Unit 6 EOC Review

Louise printed 40 standard photos and 12 wallet photos for a total of $6.96. Marcia printed 25 standard photos and 30 wallet photos for a total of $6.15. Which system of equations can be used to find s, the cost in dollars of each standard photo, and w, the cost in dollars of each wallet photo?

• 40s + 12w = 6.96, 25s + 30w = 6.15

• 40s + 25w = 6.96, 12s + 30w = 6.15

• 40s + 12s = 6.96, 25w + 30w = 6.15

• 40s + 25s = 6.96, 12w + 30w = 6.15

What is the solution for the system of equations? y = 2x - 3, 4x - 3y = 31

• (-11, -25)

• (-11, -19)

• (11, 19)

• (14, 25)

Which of these statements describes the relationship between the two lines?

• They intersect at the point (2, 1)

• They intersect at the point (1, 2)

• They intersect at the point (1, 0)

• They intersect at the point (0, 3)

Ken and Jerome went to the same electronics store. Ken bought 2 video games and 1 DVD for a total of $105. Jerome bought 1 video game and 4 DVDs for a total of $105. Each video game costs v dollars and each DVD costs d dollars. Which system of equations can be used to find the cost, in dollars, of each video game and each DVD at the store?

• v+2d=105

  v+4d=105

• 2v+d=105

  4v+d=105

• 2v+d=105

  v+4d=105

• 2v+4d=105

  v+d=105

• parallel lines

• the same line

• perpendicular lines

• intersecting, not perpendicular lines

Which statement is true about the graphs of these equations? y = 6x + 4, y = 5x - 2

• The lines intersect, but are not perpendicular

• The lines are parallel

• The lines are perpendicular

• The lines coincide (same line)

Two times Antonio's age plus three times Sarah's age equals 34. Sarah's age is also five times Antonio's age. How old is Sarah?

• A. 5 years

• B. 10 years

• C. 7 years

• D. 2 years

Which of these graphs represents the solution set of the inequality y ≤ -2x + 4?

• A. Graph A

• B. Graph B

• C. Graph C

• D. Graph D

The only coins that Alexis has are dimes and quarters. Her coins have a total value of $5.80. She has a total of 40 coins. Which of the following systems of equations can be used to find the number of dimes, d, and the number of quarters, q, that Alexis has?

• A. d + q = 5.80 and 40d + 40q = 5.80

• B. d + q = 40 and 5.80d + 5.80q = 40

• C. d + q = 5.80 and 0.10d + 0.25q = 40

• D. d + q = 40 and 0.10d + 0.25q = 5.80

The Sanchez family is planning a trip to an amusement park. The park has two ticket plans. Plan A offers a weekend pass for $12 plus $0.50 per ride. Plan B is $1.25 for each ride. Let x represent the number of rides each person will ride and y represent the cost per person, in dollars. Which of these systems of equations could be used to choose a ticket plan?

• A. y = 0.50x + 12 and y = 1.25x

• B. y = 12x + 0.50 and y = x + 1.25

• C. y = 0.50x and y = 1.25x

• D. y = x + 12 and y = x + 1.25