Quadratic Functions and Equations in One Variable

State which one of the following is a quadratic expressions?

• - 5h
• 2b² + a²
• 7s²
• 3x - 10

Expand ( n - 3 )²,

• n² + 6n - 9
• n² - 6n - 9
• n² - 6n + 9
• n² + 6n + 9

Tags

CCSS.HSA.APR.C.4

Multiply the following pair of linear expressions.
(x + 2),(2x - 3)

• 2x² - x - 6
• 2x² + x - 6
• 2x² + x + 6
• 2x² - x + 6

Tags

CCSS.HSA.APR.A.1

Simplify 7p² - ( p + 1 )²

• 6p² + 2p + 1
• 6p² + 2p - 1
• 6p² - 2p + 1
• 6p² - 2p - 1

Tags

CCSS.6.EE.A.3

Give the reason why this following expressions is not a quadratic expression.
p + p² + p³
1) The highest power is 3
2) It has one variable
3) The highest power is 2

• 1 only
• 2 only
• 1 & 2
• 2 & 3

State characteristics of quadratic equations.
1) Have a bracket ' ( ) '
2) Have an equall ' = ' sign
3) Have more than one unknown
4) Have 2 as the highest power of the unknown

• 1 & 2
• 2 & 4
• 1 , 2 & 3
• 1 , 2 & 4

Question 8-11 based on the following
Factorise the following quadratic expressions completely.
2x² - 14x

• 2x(x + 7)
• 2x(x - 7)
• (x - 7)
• 2(x- 7)

9 - 4 x²

• (3 - 2x)²
• (3 + 2x)²
• (3 - 2x)(3 + 2x)
• (2x - 3)(2x + 3)

Tags

CCSS.HSA.APR.C.4

3x² + 8x - 3

• (3x - 1)(x + 3)
• (3x + 1)(x - 1)
• (3x - 1)(x - 1)
• (3x + 1)(x + 1)

3y² + 7y - 6

• (y + 3)(3y + 2)
• (y - 3)(3y - 2)
• (y - 3)(3y + 2)
• (y + 3)(3y - 2)