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Algebra 1 – Unit 5 Assessment

Slope & Intercepts (A.3.9), Writing Equations & Parallel/Perpendicular Lines (A.3.10), Solving Systems of Equations (A.3.14)

  1. A restaurant sold a total of 418 large and small hamburgers during one day. Total hamburger sales were $1077. Large hamburgers sold for $3, and small hamburgers sold for $1.50. Which system of linear equations can be used to find l, the number of large hamburgers sold, and s, the number of small hamburgers sold?
  1. Which equation represents a line that is perpendicular to the line graphed below?
  1. There are two options at an amusement park for rides. Julie may purchase a daily pass for $12 or individual ride tickets at $1.50 each. The graph shows the cost for each of these options.

For what number of rides is the cost of both options the same?

  1. 7 rides
  2. 8 rides
  3. 9 rides
  4. 12 rides
  1. Which ordered pair represents the solution to the system of equations?
  1. (6, -14)
  2. (14, -4)
  3. (-6, -4)
  4. (-6, 4)
  1. Which equation represents a line parallel to the x-axis?
  1. Which equation is represented by the graph below?

  1. Which of the following is the equation of the line that has an x-intercept of 7 and a y-intercept of -2?
  1. The junior class sold 120 turkey dinner plates and 200 chicken dinner plates for a total of $2,150. The senior class sold 100 turkey dinner plates and 300 chicken plates, raising $2,625. What was the cost of each turkey dinner plate?
  1. What is the slope of a line parallel to the line graphed below?
  1. Carol has three times as many $10 bills as $5 bills. She has a total of $350. The system of equations below describes this situation, where f is the number of $5 bills and t is the number of $10 bills.

How many $10 bills does Carol have?

  1. What are the x- and y-intercepts of the line graphed below?

  1. x-intercept: 1; y-intercept: -3
  2. x-intercept: -1; y-intercept: 3
  3. x-intercept: 3; y-intercept: -1
  4. x-intercept: -3; y-intercept: 1
  1. Marcella is designing an outdoor stage. When complete, the stage will be represented by polygon ABCD on the coordinate plane below.

What is the slope of the side of the stage represented by ?

  1. -2
  2. 2
  1. What is the slope of the line represented by the equation ?
  1. -3
  2. -2
  3. 2
  4. 5
  1. Candice plotted the points (2, 15) and (-2, -1) and then drew a line through these two points. What is the slope of the line she drew?
  1. Gregory plotted the two points (3, 3) and (15, 7) on a graph. What is the x-coordinate of the x-intercept of the line that contains these two points?

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