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EOC Review- Unit 7: Quadratics

Total questions: 15

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

MAFS.912.A-REI.1.1 NO CALCULATOR

Lisa solves a quadratic equation as shown.

Which of these best describes the error in Lisa’s work?

a)

The last line should be 𝑥 = 2 or 𝑥 = 8.

b)

The 6 should have been subtracted from both 6 and 𝑥2 + 2𝑥 − 8 before factoring.

c)

Only (𝑥 + 4) or (𝑥 − 2) should be set equal to 6, not both factors.

d)

The 6, 2, and −8 should be simplified to 3, 1, and −4 before factoring.

2.

MAFS.912.A-REI.4.11 NO CALCULATOR

The graph of a function 𝑓 is shown. What are the approximate solutions to

𝑓(𝑥) = 0? Select all that apply

a)

x = -2

b)

x = -1

c)

x = 0

d)

x = 1

e)

x = 3

3.

MAFS.912.F-IF.3.8 NO CALCULATOR

A bird drops a stick from the top a Miami Tower. The height of the stick after 𝑥 seconds is given by 𝑓(𝑥) = −16𝑥2 + 625. Select all the correct interpretations of the coordinates of the point at the maximum of the function 𝑓(𝑥).

a)

The time it takes the stick to hit the ground.

b)

The time when the stick is at its highest point.

c)

The height of the stick when it is dropped from the Miami Tower.

d)

The time when the stick is dropped from the top of Miami Tower.

e)

The distance of the stick from Miami Tower when it hits the ground.

4.

MAFS.912.F-IF.3.7a NO CALCULATOR

Which of these graphs has its maximum point on the line 𝑥 = 3?

a)
b)
c)
d)
5.

MAFS.912.A-REI.2.4 CALCULATOR ALLOWED

Select all the equations that have exactly one solution.

a)

𝑥2 + 3𝑥 + 2 = 0

b)

−𝑥2 + 4𝑥 − 4 = 0

c)

2𝑥2 + 𝑥 − 1 = 0

d)

4𝑥2 + 4𝑥 + 1 = 0

e)

4𝑥2+ 4𝑥 + 2 = 0

6.

MAFS.912.A-REI.2.4b CALCULATOR ALLOWED

Which of the following equations have no real solutions?

a)

−𝑥2 + 3𝑥 − 3 = 0

b)

𝑥 = 3𝑥2 − 5

c)

𝑥2 − 10𝑥 + 17 = 1 − 2𝑥

d)

2𝑥2 + 𝑥 − 8 = 0

7.

MAFS.912.A-REI2.4b, MAFS.912.A-SSE.2.3a CALCULATOR ALLOWED

What are the solutions of the equation 4𝑥2 − 2𝑥 + 2 − 3𝑥 − 𝑥2 = 0?

a)

1 and 2

b)

1 and 2/3

c)

-1 and -2

d)

-1 and -2/3

8.

MAFS.912.F-IF.3.8a CALCULATOR ALLOWED

What are the zeros of the function 𝑓(𝑥) = 3𝑥2 − 3𝑥 − 18?

a)

2 and -3

b)

-2 and 3

c)

6 and -3

d)

-6 and 3

9.

MAFS.912.F-IF.3.8a NO CALCULATOR

What is the equation of the axis of symmetry for the graph of 𝑔(𝑥) = (𝑥 + 5)(𝑥 − 3)?

a)

x = -5

b)

x = -1

c)

x = 0

d)

x = 3

10.

MAFS.912.A-APR.2.3 CALCULATOR ALLOWED.

Select all the zeros of the function 𝑝(𝑥) = 𝑥(𝑥 + 3)(𝑥 − 2).

a)

-3

b)

-2

c)

0

d)

2

e)

3

11.
If given the equation
y = 3(x + 5)2 - 4,
what is the vertex of the parabola?
a)
(5, -4)
b)
(-5, -4)
c)
(-15, -4)
d)
(15, -4)
12.
The axis of symmetry line passes through which point?
a)
y-intercept
b)
any random point
c)
vertex
d)
symmetrical point for the vertex
13.
What is the equation of this graph?
a)
f(x) = (x -5)2 + 1
b)
f(x) = (x - 1)2 - 5
c)
f(x) = (x + 1)2 - 5
d)
f(x) = (x + 5)2 +1
14.

Which equation is graphed above?

a)

y=(x1)2+4y=-\left(x-1\right)^2+4

b)

y=(x1)2+4y=\left(x-1\right)^2+4

c)

y=(x4)2+1y=-\left(x-4\right)^2+1

d)

y=(x4)2+1y=\left(x-4\right)^2+1

15.

Which equations matches the graph above?

a)

h(x)= (x+1)24h\left(x\right)=\ \left(x+1\right)^2-4

b)

h(x)=(x+1)24h\left(x\right)=-\left(x+1\right)^2-4

c)

h(x)=(x+4)21h\left(x\right)=\left(x+4\right)^2-1

d)

h(x)=(x+4)2+1h\left(x\right)=-\left(x+4\right)^2+1