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EOY Quadratics Review

Total questions: 43

Worksheet time: 1hrs 12mins

Name
Class
Date
1.
If a trinomial, ax2 +or- bx + c, has a positive "c" value, what do you know about the signs in its binomial factors?
a)
Both signs are positive.
b)
Both signs are negative. 
c)
One sign is positive and one is negative.
d)
The signs are the same, both + or both -
2.
If a trinomial, ax2 + bx + c, has a negative "c" value, what do you know about the signs in its binomial factors.
a)
The signs are both +. 
b)
The signs are one + and one -
c)
The signs are both -
3.

Factor 4b5+4b3+16b2

a)

4b3(b4+b2+4b)

b)

4b3(b4+4b+5)

c)

4(b5+b3+4b2)

d)

4b2(b3+b+4)

4.
Factor completely: x2+16x+64
a)
(x+4)(x+16)
b)
(x-8)(x-8)
c)
(x+2)(x+32)
d)
(x+8)(x+8)
5.
(7y + 4)(8y + 2)
a)
58y2 + 48y + 6  
b)
65y2 + 64y + 8  
c)
56y2 + 46y + 8  
d)
56y8 + 46y - 8  
6.
(2s + 9)(3s - 4)
a)
3s2 + 19s - 36
b)
4s2 + 19s - 36
c)
5s2 + 19s - 36
d)
6s2 + 19s - 36
7.

Expand using FOIL


(2y-3)2

a)

4y2+12y+9

b)

4y2-12y+9

c)

4x2+2x+2

d)

x2-12x+1

8.
What should you do first in solving this equation?
x2 + 6x - 13 = 3
a)
Get factored form
b)
Write down: a=1, b=6, c=-13
c)
Make it equal 0 by subtracting 3 on each side
d)
Type it all in a calculator.
9.
a)
±81
b)
±9
c)
±3
d)
No real solution
10.
If the graph of a quadratic does not intercept the x axis at any point, then it has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solution
11.
Solve    2x2 + 7x - 15 = 0
a)
-1.5 or 5
b)
No Solution
c)
-5 or 1.5
d)
0.7 or 5
12.
Find the zeros.
a)
0 and 4
b)
0 and -4
c)
0
d)
-4
13.
Solve
a2 + 2a - 24 = 0
a)
a = -6, 4
b)
a = 6, -4
c)
a = 12, -2
d)
a = 8, -3
14.
Determine the values of
a, b, and c for
the quadratic equation: 
4x2 – 8x = 3
a)
a = 4, b = -8, c = 3
b)
a = 4, b =-8, c =-3
c)
a = 4, b = 8, c = 3
d)
a = 4, b = 8, c = -3
15.
What do you do to the b value to correctly complete the square?
a)
square it
b)
divide it by 2 and square the result
c)
divide it by 2 and take the square root of the result
d)
divide it by 2 only
16.

Complete the square for

x2 - 12x + ____

a)

144

b)

36

c)

- 36

d)

24

17.

Complete the square.

x2 + 6x + ____

a)

9

b)

12

c)

36

d)

- 9

18.

Given the perfect square trinomial, identify the equivalent expression


x2-18x+81

a)

(x-18)2

b)

(x-9)2

c)

(x+81)2

d)

(x+9)2

19.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
20.
A line about which a figure is symmetric is the:
a)
Solution Set
b)
Intercept Formula
c)
Quadratic Function
d)
Axis of Symmetry
21.
Which point is an example of a y-intercept?
a)
(3,4)
b)
(-2,8)
c)
(0,4)
d)
(5,0)
22.

Which letter determines if a parabola opens up or down?

a)

a

b)

h

c)

k

23.
What is the axis of symmetry?
a)
the slope of the graph
b)
the dividing line for a parabola
c)
a way to spin my pencil
d)
the x-axis
24.
A parabola has a vertex at (-3,2).
Where is the axis of symmetry?
a)
y = -2
b)
x = 3
c)
x = -3
d)
y = 2
25.
What's the axis of symmetry of y = 3x2 - 6x + 4
a)
x=1
b)
x=-6
c)
x=2
d)
x=-1
26.
Which of the following equations matches standard form of a quadratic?
a)
ax + by = c
b)
y = a(x - h)2 + k
c)
y = ax2 + bx + c
d)
y = mx + b
27.
Convert the equation y= x2-2x-5 into vertex form. 
a)
y= (x-1)2-6
b)
y= -(x-1)2-6
c)
y= (x+1)2-6
d)
y= -(x+6)2-1
28.

A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation h = -6t2 + 6t where h is the frog's height at any given time, t . How many seconds until the frog is back on the ground?

a)

0.5 seconds

b)

1 second

c)

1.5 seconds

d)

2 seconds

e)

3 seconds

29.

Your nephew is standing on his deck, which is 4 feet off the ground. He tosses his toy up into the air. The equation

h = -2t2 + 7t + 4 models the toy's height, h, from the ground at t seconds after he threw it. How high is the toy after 1 second?

a)

2

b)

4

c)

9

d)

10

e)

15

30.

Which of the following mean the same as x-intercept? (More than one answer! Select all that are correct)

a)

Zero

b)

Root

c)

Axis of Symmetry

d)

Solution

e)

Maximum

31.

How would the graph

of f(x) = 7x2 + 5 be obtained from g(x) = 7x2 - 7?

a)

Shift right 12 units

b)

Shift left 12 units

c)

Shift up 12 units

d)

Shift down 12 units

e)

Shift up 5, shift left 7

32.
Pablo throws a ball with a path of
h = -5(t - 2)2.
Maria throws a ball with a path of
h = -5(t - 2)2 + 10.
Which description is reasonable for the difference in the two equations?
a)
Maria throws the ball 10 times harder than Pablo does.
b)
Maria starts her ball at a height 10 feet higher than Pablo does.
c)
Pablo throws the ball 10 times harder than Maria does.
d)
Pablo starts his ball at a height 10 feet higher than Maria does.
33.

What is the vertex form of a quadratic function?

a)

f(x) = 2a(x-h)2 + k

b)

f(x) = a(x-h)2 + k

c)

f(x) = (x+h)2 + k

d)

f(x) = a(x-h) - k

34.

Identify the vertex of f(x) = -2(x+1)2 + 3

a)

(h,k)

b)

(3, 1)

c)

(-1,-3)

d)

(-1,3)

35.
Identify the domain and range of the function.
a)
Domain: -6 ≤ x ≤ 2
Range: -3 ≤ y ≤ 5
b)
Domain: All real number
Range: -3 ≤ y ≤ 5
c)
Domain: All real numbers
Range: y ≥ -3
d)
Domain: All real number
Range: y ≤ -3
36.
What is the range of this function?
a)
All real numbers.
b)
All real numbers greater than or equal to 0.
c)
All real numbers greater than or equal to -2.
d)
All real numbers greater than or equal to 2.
37.

Distribute completely (x+7)2

a)

x2 + 49

b)

x2 + 7x + 49

c)

x2 + 14x + 49

38.

Maddie is planning a rectangular garden in her backyard. The length of the garden will be 5 feet greater than its width.

What function models the area of Maddie's garden?

a)

a (w) = w (5w)

b)

a (w) = w2 + 5

c)

a (w) = w (w + 5)

d)

a (w) = (w + 5) (w + 5)

39.

What are the solutions to the following system of equations?

a)

(−1, 8) and (6, 15)

b)

(8, −1) and (15, 6)

c)

(1, 0) and (3, 0)

d)

(0, 1) and (0, 3)

40.
Find the solution.
a)
(2,3) and (3,4)
b)
(-3,-15) and (4,-8)
c)
(-3,10) and (8,4)
d)
(-8,3) and (-4,10)
41.

How many solutions does this system of equations have?

a)

one solution

b)

two solutions

c)

no solutions

d)

All of the above

42.

How many solutions does this system of equations have?

a)

one solution

b)

two solutions

c)

three solutions

d)

no solutions

43.
The system of a linear and a quadratic function can have the following number of solutions, EXCEPT
a)
No solution
b)
1 solution
c)
2 solutions
d)
more than 2 solutions

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