Algebra Final Review Practice!

(4x²+ x) - (x²+ 2x)

• 3x² - x

• 4x² + 2x

• 3x² + 3x

• 3x² + 2x

Answer explanation

To simplify the expression, combine like terms: (4x^2 + x) - (x^2 + 2x) = 4x^2 + x - x^2 - 2x = 3x^2 - x. Therefore, the correct answer is 3x^2 - x.

Simplify:

5(3x+2)

• 3x+10

• 15x+10

• 15x-10

• 3x-10

Answer explanation

To simplify 5(3x+2), distribute the 5 to both terms inside the parentheses: 5*3x + 5*2 = 15x + 10. Therefore, the correct choice is 15x+10.

Add or Subtract to Simplify:
 (4x - 2x³) + (5x³ - 4x + 5)

• 3x³ + 5

• 3x³ + 8x + 5

• 3x² + 5

• 7x³ + 8x + 5

Answer explanation

To simplify, combine like terms: (4x - 2x^3) + (5x^3 - 4x + 5) = 4x - 2x^3 + 5x^3 - 4x + 5 = 3x^3 + 5. Therefore, the correct choice is 3x^3 + 5.

Simplify.

2n (n² + 3n + 4)

• 2n³ + 6n² + 8n

• 2n³ + 6n + 8

• 2n³ + 3n + 4

• n² + 5n + 4

Answer explanation

Choose the answer that simplifies the expression correctly. In this case, the correct choice is 2n^3 + 6n^2 + 8n.

Find the product:
(3x + 2)(2x + 4)

• 6x² + 16x + 8

• 5x² +11x + 6

• 5x² + 16x + 6

• 6x² + 11x + 8

Answer explanation

To find the product, use the distributive property: (3x + 2)(2x + 4) = 3x * 2x + 3x * 4 + 2 * 2x + 2 * 4 = 6x^2 + 12x + 4x + 8 = 6x^2 + 16x + 8

Simplify:
(x - 9)(x - 7)

• x² - 2x - 63

• x² - 16x - 63

• x² - 2x + 63

• x² - 16x + 63

Answer explanation

To simplify (x - 9)(x - 7), apply the distributive property to get x^2 - 16x + 63. Therefore, the correct choice is x^2 - 16x + 63.

Multiply:
(3x – 1)(x + 5) 

• 3x² + 4x + 5

• 3x² + 4x - 5

• 3x² + 14x + 5

• 3x² + 14x - 5

Answer explanation

The correct choice is 3x^2 + 14x - 5, obtained by multiplying the terms in each bracket using the distributive property.

Factor: x² + 2x – 3

• (x - 2)(x + 1)

• (x + 1)(x - 3)

• (x + 2)(x - 1)

• (x - 1)(x + 3)

Answer explanation

To factor x^2 + 2x - 3, find two numbers that multiply to -3 and add up to 2. The numbers are 3 and -1, so the factors are (x - 1)(x + 3).

Factor
x² + 9x - 36

• (x + 12)(x - 3)

• (x + 9)(x - 4)

• (x - 12)(x + 3)

• (x - 9)(x - 4)

Answer explanation

To factor x^2 + 9x - 36, find two numbers that multiply to -36 and add up to 9. The numbers are 12 and -3, so the factors are (x + 12)(x - 3).

What are the x- intercepts?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2

Answer explanation

The x-intercepts are the points where the graph crosses the x-axis. In this case, the x-intercepts are x=0 and x=4, as these are the values of x when y=0.