Algebra II Study Guide Midterm

• -2, 4
• -8
• ±8
• No real solution

Tags

CCSS.HSA-REI.B.4B

Which of the following equations matches standard form of a quadratic?

• ax + by = c
• y = a(x - h)² + k
• y = ax² + bx + c
• y = mx + b

Tags

CCSS.HSA.SSE.B.3

What are the roots of the function? 

• {x|x = 4, -1}
• (-4, 1)
• {x|x = -4, 1}
• (4, 0) (-1, 0)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

What are the factors AND solutions of x² + 2x – 3 = 0

• (x - 2)(x + 1); x=2, x=-1
• (x + 1)(x - 3); x=-1, x=3
• (x + 2)(x - 1); x=-2, x=1
• (x - 1)(x + 3); x=1, x=-3

Tags

CCSS.HSA-REI.B.4B

The discriminant is

• aX²  + bX  +  c
• b - 4ac
• b² - 4ac
• b² + 4ac

Tags

CCSS.HSA-REI.B.4B

What is the discriminant of -2x² − x − 1 = 0

• 76

• -7

• 9

• none of these

Tags

CCSS.HSA-REI.B.4B

If the discriminant is positive, then the solution will be

• one real solution

• two real solutions

• no real solutions

• one imaginary solution

Determine the value of the discriminant and name the nature of the solution for the following:
x² + 7x + 13
Remember:  b² - 4ac

• 400 - 2 reals
• 0 - 1 real
• √(-400) - 2 non-real complex - imaginary
• -3 ---- 2 non-real complex - imaginary

Determine the value of the discriminant and name the nature of the solution for the following:
x² + 8x - 84
Remember:  b² - 4ac

• 256 - 2 reals - Rational
• 400 - 2 reals - Rational
• √(-400) - 2 non-real complex - imaginary
• 20 - 2 reals - Rational

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

• (5, -4)
• (-5, -4)
• (-15, -4)
• (15, -4)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7