Module 1 Topic 1 Assessment

A vendor sold items for $4.50, $6.00, and $7.50. They sold 87 items for $489. The vendor sold 5 more items for $6.00 than for $7.50. Which system of equations could determine how many of each item were sold?

• x + y + z = 489

  z = y + 5

  4.5x + 6y + 7.5z = 87

• x + y + z = 489

  y = z + 5

  4.5x + 6y + 7.5z = 87

• x + y + z = 87

  y = z + 5

  4.5x + 6y + 7.5z = 489

• x + y + z = 87

  z = y + 5

  4.5x + 6y + 7.5z = 489

What is the solution to the system of equations?

• x = 9, y = 4, z = 8

• x = 3, y = 5, z = 10

• x = 9, y = 3, z = 6

• x = 12, y = 2, z = 4

What is the solution to the system of equations?

• (7/3, 1, -2/3)

• (1, -9, -14)

• (5/3, 1, -4/3)

• (4, 3, -2)

Tags

CCSS.HSA.REI.C.9

The graph of g(x) is shown. Which statement is true?

• The domain is all real numbers.

• The domain is x ≥ 0.

• The range is f(x) ≥ -2.

• The range is -30 ≤ f(x) ≤ 30.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

A train passes a station halfway along its trip. Which equation best represents the graph?

• f(x) = |100x|

• f(x) = |x + 100|

• f(x) = |100 - x|

• f(x) = |x| + 100

Tags

CCSS.HSF-IF.C.7D

Solve the system of equations:

y = 2x + 4

y = x² – 4

What are the solutions?

• x = -4, y = -4

• x = 2, y = 8

• x = 0, y = 4

• x = 4, y = 12

Tags

CCSS.HSA.REI.C.7

Solve the system of linear equations. What is the value of x?

• 1

• 2

• 3

• 4

Calculate the solution to the system of equations using matrices.

• (x, y, z) = (2, 0, 2)

• (x, y, z) = (3, 1, 1)

• (x, y, z) = (4, 2, 1)

• (x, y, z) = (1, 3, 1)

Tags

CCSS.HSA.REI.C.9

Consider f(x) = |x|. Which graph represents g(x) = |x - 3| - 2?

• A graph shifted 3 units to the right and 2 units down

• A graph shifted 3 units to the left and 2 units up

• A graph shifted 3 units to the right and 2 units up

• A graph shifted 3 units to the left and 2 units down

Identify the minimum point of g(x) = |x-3| -2.

• (3, -2)

• (0, 0)

• (2, -1)

• (4, 1)

Tags

CCSS.HSF-IF.C.7D