Quarter 1 Test Review

How many solutions does

6x² − 2x − 3 = 0 have?

(Hint: what is the discriminant?)

• Two real number solutions

• One real number solution

• One imaginary solution

• Two Imaginary solutions

What is the vertex of y=x²+4x+3?

• (2,1)
• (-2,1)
• (0,0)
• (-2,-1)

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.C.7

Solve: x² - 9x + 20 = 0

• x = -4 and x = -5

• x = 20 and x = -9

• x = 4 and x = 5

• x = -4 and x = 5

Solve: 4x² + 11x - 3 = 0

• x = -3/4 and x = -1

• x = 4 and x = 3

• x = 1/4 and x = -3

• x = -1/4 and x = 3

Solve

• A

• B

• C

• D

Solve: x² + 25 = 0

• x = 5

• x = -5

• x = 5 and x = -5

• x = 5i and x = -5i

Simplify:

(1 − 2i)(6 + 5i)

• 16 − 7i

• -16 + 7i

• -16 − 7i

• 16 + 7i

Which of the following shows
f(x) = x² + 12x - 2
written in vertex form?

• f(x) = (x + 6)² + 142
• f(x) = (x + 6)² - 34
• f(x) = (x + 6)² - 38
• f(x) = (x + 6)² + 34

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation 
s(t) = –16t² + 64t + 80.
What will be the object's maximum height? 

• 2 ft
• 80 ft
• 144 ft
• 64 ft

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

Determine the type and number of solutions:

x² + 7x + 13

• 2 real solutions

• 1 real solution

• 2 irrational roots

• 2 complex (imaginary) roots