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Regents Review #4

Total questions: 30

Worksheet time: 2hrs 49mins

Name
Class
Date
1.

a)

6

b)

8

c)

10

d)

12

2.

a)

2(3x+5)2

b)

2(3x-5)2

c)

2(3x+5)(3x-5)

d)

2(3x-25)(3x+25)

3.

a)

1

b)

2

c)

3

d)

4

4.

Hint: What property is used to show an operation done to both sides of the equation?

a)

the associative property

b)

the commutative property

c)

the distributive property

d)

the addition property of equality

5.

a)

-6

b)

5

c)

10

d)

30

6.
What is one point that lies in the solution set of the system of inequalities graphed?
a)
(0, 4)
b)
(-4, 1)
c)
(2, 4)
d)
(4, -1)
7.
What are the zeros of the function f(x) = x2 — 13x — 30? 
a)
—10 and 3
b)
10 and —3
c)
—15 and 2
d)
15 and —2
8.
Which correlation coefficient indicates the strongest linear relationship between the variables?
a)
0.79
b)
-0.63
c)
0.52
d)
-0.84
9.
Which function represents exponential decay?
a)
f(x) = 100(0.9)x 
b)
f(x) = 10(1.09)x 
c)
f(x) = 1.9x
d)
f(x) = ½(9)x
10.
The function f(x)=3x+10 models the total cost Katie charges to babysit x amount of children. What is the most appropriate domain for the function?
a)
All rational numbers
b)
All integers
c)
All non-negative rational numbers
d)
All non-negative integers
11.

Select the best choice. A zero of a function is an x-value that makes the function equal to 0.

a)

1

b)

2

c)

3

d)

4

12.

Select the best choice.

a)

1

b)

2

c)

3

d)

4

13.

Select the best choice

a)

1

b)

2

c)

3

d)

4

14.

Choose the best choice.

a)

1

b)

2

c)

3

d)

4

15.

Choose the best choice.

a)

1

b)

2

c)

3

d)

4

16.
Which equation is NOT a linear equation? 
a)
y = 2x - 3
b)
y = 8
c)
y = x2
d)
y = x
17.
In the equation x2 – 6x + 8 = 0, what are the solutions for x?
a)
{4,2}
b)
{4,-2}
c)
{-4,2}
d)
{-4,-2}
18.

How many points of intersection are there

between the graphs of y=(x^2) and y=-3?

a)

0

b)

1

c)

3

d)

4

19.
Determine the solution to the given linear-quadratic function.
a)
(0, 0)
b)
(3, 0)
c)
(2, -3)
d)
(-3, 2)
20.
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
21.

Solve:

(x-4)2 = y + 2

2x + y - 6 = 0

a)

(-4, -2), (-2, 2)

b)

(4, -2), (2, 2)

c)

(-4,2) and (-6,6)

d)

(4,2) and (6,6)

22.

Solve Algebraically:

x2 -2 = y

-x + y = 0

a)

(1, 1) and (-2,-2)

b)

(2, 2), (-1, -1)

c)

(1, 1), (2, 2)

d)

(-2,-2) and (-1,-1)

23.

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

24.

A dolphin jumps from the water at at initial velocity of 16 feet per second. The equation h = -8t2 + 16t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps?

a)

1 foot

b)

5 feet

c)

7 feet

d)

8 feet

e)

12 feet

25.

Select all sets that the number belongs to:

25\sqrt{25}  

a)

Irrational Number

b)

Rational Number

c)

Integer

d)

Whole Number

e)

Natural Number

26.

9 + 0 = 9

a)

Reflexive Property

b)

Distributive Property

c)

Identity Property of Addition

d)

Inverse Property of Addition

27.

a² + (b² + c²) = (a² + b²) + c²

a)

Commutative Property of Addition

b)

Zero Property

c)

Associative Property of Addition

d)

Identity Property of Addition

28.

−38+318-3\sqrt{8}+3\sqrt{18}  

a)

−32-3\sqrt{2}  

b)

626\sqrt{2}  

c)

15215\sqrt{2}  

d)

323\sqrt{2}  

29.
Simplify:
a)
4√30
b)
√4√30
c)
√2√30
d)
2√30
30.

Solve using substitution.


y = -3x + 11

5x + y = 21

a)

(1, -5)

b)

(1, 5)

c)

(-4, 5)

d)

(5, -4)

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