A2 Module 1 Topic 1

What is the solution to the following system?

x + y + z = 18

z = 2y

5x + 2y + 6z = 85

• x = 4, y = 6, z = 8
• x = 5, y = 7, z = 14
• x = 2, y = 3, z = 6
• x = 3, y = 5, z = 10

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

A regional train passes by a certain train station halfway along its trip each day. The graph models the train traveling at a constant speed. Which equation best represents the graph.

• f(x) = | 100x |

• f(x) = |x + 100|

• f(x) = |100 - x|

• f(x) = |x| + 100

Solve the system of equations.

y = 2x + 4

y = X^2 - 4

• (1, 6)
• (4, 12) and (-2, 0)
• (3, 10)
• (0, 4)

Solve the system of linear equations

x + 2y + z = 10

3x + y = 9

-x + 2y = 4

• x = 1, y = 2, z = 7
• x = 14/5, y = 3/5, z = 6
• x = 2, y = 3, z = 2

• x = 5, y = 0, z = 5

Calculate the solution to the system of equations

2x - y = 6

-x +2y +3z = 3

x + 4z = 8

• x = 1, y = 5, z = 0
• x = 3, y = 2, z = 4
• x = 7/3, y = -4/3, z = 17/12
• x = 4, y = 2, z = 1

Is there a maximum or minimum?

g(x) = |x -3| - 2

• Minimum value is -3 at x = 4.
• No minimum or maximum exists.
• Minimum value is -2 at x = 3.
• Maximum value is 2 at x = 1.

What is the domain of the function?

g(x) = |x -3| - 2

• x > 3
• x < 0
• x = 3
• All real numbers

What is the range of the function?

g(x) = |x -3| - 2

• (-∞, -2)
• [-2, ∞)
• (-2, 2)
• [0, 2]

Solve the absolute value equation

| 2x -4| = 10

Select TWO answers from the choices below

• x = 5
• x = 2
• x = 7

• x = -3