Unit 8 Review

What shape is the graph of a quadratic?

• Hyperbola

• Parabola

• Straight Line

• Circle

Answer explanation

The graph of a quadratic is in the shape of a parabola, making 'Parabola' the correct choice.

Tags

CCSS.HSF-IF.C.7A

What is another name for the x-intercepts of a quadratic? Select all that apply.

• Roots

• Zeros

• Solutions

• They don't have another name

Answer explanation

The correct name for the x-intercepts of a quadratic is Zeros.

Tags

CCSS.HSF-IF.C.7D

Does the graph have a minimum or a maximum?

• minimum

• maximum

Answer explanation

The graph has a maximum, not a minimum, as indicated in the correct answer choice.

Tags

CCSS.HSF-IF.C.7A

Which of the following is the vertex of the graph?

• (2, 0)

• (-2, 0)

• (0, 4)

• (-1, 3)

Answer explanation

The vertex of the graph is (0, 4) as it represents the highest or lowest point on the graph, in this case, the highest point on the y-axis.

If the vertex of a parabola is (-1, 6), what is the equation for the axis of symmetry?

• x = -1

• x = 6

• y = -1

• y = 6

Answer explanation

The equation for the axis of symmetry of a parabola with vertex (-1, 6) is x = -1. The axis of symmetry always passes through the vertex, making x = -1 the correct choice.

• Monomial
• Binomial
• Trinomial
• Polynomial

• Monomial
• Binomial
• Trinomial
• Polynomial

Add or Subtract to Simplify:
 (5x + 2) + (4x + 5)

• 9x -7

• -9x-11

• 9x+7

• x+7

Answer explanation

To simplify, combine like terms: (5x + 4x) + (2 + 5) = 9x + 7. Therefore, the correct answer is 9x+7.

Tags

CCSS.HSA.APR.A.1

Add or Subtract to Simplify:
(5x + x² - 4) - (4x - x² + 6)

• 2x² + x + 2 

• x + 2

• 2x² + x - 10 

• x - 10 

Answer explanation

To simplify, combine like terms: (5x + x^2 - 4) - (4x - x^2 + 6) = 5x + x^2 - 4 - 4x + x^2 - 6 = 2x^2 + x - 10

Tags

CCSS.HSA.APR.A.1

Distribute and Simplify:

5x(2x³+6)

• 10x⁴+30x

• 10x³+30x

• 7x⁴+11x

Answer explanation

To distribute and simplify, multiply 5x by each term inside the parentheses: 5x * 2x^3 = 10x^4 and 5x * 6 = 30x. Therefore, the expression simplifies to 10x^4 + 30x.

Tags

CCSS.6.EE.A.3