Holt Algebra 2 Mid Chapter Quiz

Is this relation a direct variation?

y = 2x - 4

• Yes

• No

Find the slope and y intercept of the equation:

3x - 4y =12

• Slope = 4 and y-intercept = -3

• Slope = 3/4 and y intercept = -3

• Slope = -4 and y-intercept = -3

• Slope = -3 and y intercept = 3/4

Evaluate the function for the given value for x, and write the input and the output, f(x), as an ordered pair.

f(x) = x² - 4x + 1 for x = -3

• (-3,10)

• (-3,-20)

• (-3,22)

• (22,-3)

y varies directly with x, and y is 64 when x is 16. What is the constant of variation?

• y = (1/4)x

• k= 48

• k= 4

• k= 1/4

How can you determine if a relationship is a function?

• If it passes the vertical line test when graphed

• If there is a unique and different "x" value for every "y" value

• If the equation doesn't have a squared "y" value

• All of these can be used to determine if a relation is a function

Find the slope of the line through the 2 points:

(1,4) & (3,-2)

• -3

• 1/2

• -1/2

• y = -3x + 7

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.
• Yes, because each x-value has only one y-value paired with it.
• No, because the x-value 11 has two y-values pair with it.
• No, because each x-value has only one y-value paired with it.

Give the domain and range. Tell if it is a function.

• D: {-4, -2, 0, 2}
  R: {-2, -2, 1, 1}
  Function
• D: {-4, -2, 0, 2}
  R: {-2, 1}
  Function
• D: {-4, -2, 0, 2}
  R: {-2, -2, 1, 1}
  Not a Function
• D: {-4, -2, 0, 2}
  R: {-2, 1}
  Not a Function

What is the equation for direct variation, and what do the variables stand for?

• y - y₁ = m(x - x₁)

  The m represents the slope and the x₁ and y₁ represent a point on the graph

• y = mx + b

  The m represents the slope and the b is the y-intercept

• y = k(x)

  The x and y represent a point on the line and the k represents the constant variation between the points on the graph

• y = k(x) + b

  x and y represent a point on the graph, the k represents the constant variation and the b represents the y-intercept

What is the equations for the line through point (2,3) and parallel to y = -2x + 4

• y = -2x + 3

• y = 1/2x + 7

• y = 1/2x + 2

• y = -2x + 7