Math 2 Final Review Part 1

​Semester 1 Final Revie

​Math 2

​Adding Polynomials

Multiple Choice

Simplify.

$$\left(6x-4x^3\right)+\left(8x^3+7x\right)$$

• 4x³ + 13x

• 4x³ + 8x

• 4x³ + 7x

• 4x³ + 2x

Multiple Choice

Simplify.

$$\left(6x^3+2\right)-\left(8+4x^3\right)$$

• -6

• -6 - 6x³

• 2x³ - 6

• -6 - 7x³

Math Response

Simplify.

$$\left(3x^4-4\right)-\left(5x^4+6\right)$$

Type answer here

Correct Answer: -2x^4-10

Deg^°

Rad

Multiple Choice

Simplify.

$$\left(7x^3+5x^2+4x\right)+\left(4-5x-5x^3\right)$$

• 2x³ + 5x² - x + 4

• 2x³ - 3x² + 2x + 4

• 2x³ - 3x² - x + 4

• 2x³ - 3x² + 9x + 4

Multiple Choice

Simplify.

$$\left(8x-4x^3-5x^4\right)-\left(4x+5-x^3\right)$$

• -5x⁴ - 11x³ + 4x - 5

• -5x⁴ - 5x³ + 4x - 5

• -5x⁴ - 3x³ + 4x - 5

• -5x³ - 4x² + 4x - 5

Math Response

Simplify.

$$\left(x^2+8+4x^4\right)-\left(2x^2-5-x^4\right)$$

Type answer here

Correct Answer: 5x^4-x^2+13

Deg^°

Rad

Finding the Product of Polynomials

Finding the Product of Polynomials

Finding the Product of Polynomials

Finding the Product of Polynomials

Multiple Choice

Find the product.

$$\left(6a+5\right)\left(4a+3\right)$$

• 7a² + 23a² + 6

• 7a² + 19a² - 6

• 12a² + 23a² - 24

• 24a² + 38a² + 15

Multiple Choice

Find the product.

$$\left(8n-4\right)\left(n-5\right)$$

• 5n² + 21n² - 20

• 8n² - 44n² + 20

• 20n² + 3a - 9

• 25n² + 45n + 14

Math Response

Find the product.

$$\left(4x-5\right)\left(3x-1\right)$$

Type answer here

Correct Answer: 12x^2-19x+5

Deg^°

Rad

Multiple Choice

Find the product.

$$\left(8x-3\right)^2$$

• 64x² + 9

• 49 + 56x + 16x²

• 64x² - 48x + 9

• 64x² - 9

Finding the Product of Polynomials

Math Response

Find the product.

$$\left(6x+7\right)^2$$

Type answer here

Correct Answer: 36x^2+84x+49

Deg^°

Rad

Finding the Product of Polynomials

Multiple Choice

Find the product.

$$\left(3x+5\right)\left(4x^2-8x-5\right)$$

• 6x³ - 21x² + 24x² - 9

• 21x³ + 44x² - 44x² - 32

• 56x³ + 20x² + 4x² + 24

• 12x³ - 4x² - 55x² - 25

Math Response

Find the product.

$$\left(5x+1\right)\left(7x^2+6x+6\right)$$

Type answer here

Correct Answer: 35x^3+37x^2+36x+6

Deg^°

Rad

​Vertex Form of Quadratic Functions

Multiple Choice

Identify the vertex and the axis of symmetry.

• Vertex (-2, -3)

  AOS: x = -2

• Vertex (3, 2)

  AOS: x = 3

• Vertex (3, 2)

  AOS: x = 2

• Vertex (2, -3)

  AOS: x = 2

Math Response

Identify the x coordinate of the vertex.

(___, -1)

Type answer here

Correct Answer: -8

Deg^°

Rad

Math Response

Give the axis of symmetry.

Type answer here

Correct Answer: x=-8

Deg^°

Rad

Multiple Choice

Give the direction of opening.

• Up

• Down

• Left

• Right

Multiple Choice

Give the direction of opening.

• Up

• Down

• Left

• Right

Standard Form of Quadratic Functions

Multiple Choice

Identify the axis of symmetry.

$$y=-2x^2-36x-157$$

• x = -9

• x = -5

• x = 9

• x = -2

Multiple Choice

Identify the vertex.

$$y=-2x^2-36x-157$$

• (-9, 5)

• (9, 5)

• (-9, 4)

• (-9, 3)

Multiple Choice

Identify the axis of symmetry.

$$y=x^2-20x+104$$

• x = 10

• x = -10

• x = 4

• x = -4

Multiple Choice

Identify the vertex.

$$y=x^2-20x+104$$

• (10, 4)

• (10, -2)

• (-10, 1)

• (-10, 6)

Multiple Choice

Identify the opening of the graph.

$$y=x^2-20x+104$$

• Up

• Down

• Left

• Right

Multiple Choice

Choose the graph for the function.

y = (x - 2)² - 2

Multiple Choice

Choose the graph for the function.

y = -(x + 1)² - 2

Multiple Choice

Factor completely.

4x² + 4x - 224

• 4(x + 7)(x + 8)

• 4(x + 2)(x - 28)

• 4(x - 7)(x + 8)

• 2(x + 5)(x - 4)

Multiple Choice

Factor completely.

3x² - 5x

• x(3x - 5)

• 3x(x - 5)

• x(3x + 1)

• Not factorable.

Multiple Choice

Factor completely.

3x² - 5x

• x(3x - 5)

• 3x(x - 5)

• x(3x + 1)

• Not factorable.

Multiple Choice

Factor completely.

2x³ - 3x² - 14x

• x(2x + 7)(x - 2)

• 2x(x + 7)(x - 1)

• x(2x - 7)(r + 2)

• (2x(x - 7)(x - 1)

Multiple Choice

Solve.

(x - 2)(x + 3) = 0

• x = 2, -3

• x = -2, 3

• x = 1/2, 1/3

• x = 6, 5

Multiple Choice

Solve by factoring.

x² + 14 = 9x

• x = -2, -7

• x = -2, 7

• x = 2, 7

• no real solutions

Multiple Choice

Solve by factoring.

x² = -25 - 10x

• x = -5

• x = -5, 5

• x = 10, -5

• no real solutions

Multiple Choice

Solve by factoring.

x² + 10x = -16

• x = -2, -8

• x = 2, 8

• x = 4, -4

• no real solutions

Math Response

Find the value that completes the square.

x² - 14x + _____

Type answer here

Correct Answer: 49

Deg^°

Rad

Multiple Choice

Which choice is the expression written as a perfect square?

x² - 14x + _____

• (x - 7)²

• (x + 7)²

• (x - 14)²

• (x + 49)²

Multiple Choice

Solve by completing the square.

x² + 18x - 93 = -7

• x = 8.274, -10.274

• x = 3.923, -21.923

• x = 1.646, -3.646

• x = 4.221, 1.283

Multiple Choice

Solve by completing the square.

x² - 8x - 6 = -9

• x = 0.359, -8.359

• x = 7.606, 0.394

• x = 8.359, -0.359

• x = 9, 3

Multiple Choice

Solve by completing the square.

x² + 14x + 20 = 7

• x = -1.126, -16.874

• x = -1, -13

• x = 1, -19

• x = -1.241, 6.348

Multiple Choice

Find the discriminant and determine the type of solutions

-3x² - 3x -7 = 0

• -75; two imaginary solutions

• 13; two imaginary solutions

• -75; two real solutions

• 93; two real solutions

Multiple Choice

Solve by using the quadratic formula.

7x² - 20 = -9x

• x = 0.419, -1.705

• x = 1.166, -2.451

• x = 1.844, -10.844

• no real solutions

Multiple Choice

Solve by using the quadratic formula.

4x² + 4x = 11

• x = 8, -8

• x = 1.232, -2.232

• x = 1.599, -1.599

• no real solutions

Multiple Choice

Solve by using the quadratic formula.

4x² + 4x = 11

• x = 8, -8

• x = 1.232, -2.232

• x = 1.599, -1.599

• no real solutions

Multiple Choice

Give the value of the discriminant and use it to determine the type of solutions.

-3n² - 3x - 7 = 0

• -75; two imaginary solutions

• 13; two imaginary solutions

• -75; two real solutions

• 93; two real solutions