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Worksheets

SN 5 Ready Checklist

Total questions: 38

Worksheet time: 2hrs 54mins

Name
Class
Date
1.

What are the solutions to the graphed system?

a)

(0,-2) and (3,1)

b)

(-2,0) and (2,0)

c)

(0,-2) and (3,1)

d)

(2,2) and (1,0)

2.
Find the solution(s).
a)
(-1,7) and (0,5)
b)
(-4,2) and (-5,8)
c)
(-2,6) and (10,15)
d)
(-2,4) and (6,12)
3.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
4.

What is the slope of the line that passes through the points (-4, -1) and (-2, -5)?

a)

1/2

b)

-1/2

c)

2

d)

-2

5.
Find the slope of a line parallel to the line below.
y = 2x + 4
a)
2
b)
-1/2
c)
1/2
d)
-2
6.
Find the slope of a line perpendicular to the line below.
y = 2x + 4
a)
2
b)
-1/2
c)
1/2
d)
-2
7.
(2x3 + 5x2 + 9)
÷
(x + 3)
a)
2x2 - x + 3
b)
2x3 - x2 + 3x
c)
2x2 + 11x + 33 + 108/x+3
d)
2x2 - 5x + 12
8.
x3-3x2-10x+24
 ÷
 x+3
a)
x2-7x+5
b)
x-8
c)
x2-6x+8
d)
x+9
9.
Factor Completely: x2-17x+72
a)
(x-9)(x+8)
b)
(x-9)(x-8)
c)
x(x-3)
d)
(x+9)(x+8)
10.

Find the factors of

3b2 + 17b + 20

a)

(2b - 5)(b - 7)

b)

(5b - 7)(b - 2)

c)

(b + 5)(3b + 4)

d)

(3b + 5)(b + 4)

11.
x2 - 25
a)
( x + 5 ) ( x - 5 ) 
b)
( x - 5 ) ( x - 5 ) 
c)
( x + 5 ) ( x + 5 ) 
d)
Prime
12.

What is the factored form of 5n³-10n²+3n-6

a)

(5n²+3)(n-2)

b)

(5n²-3)(n-2)

c)

(5n³+3)(n-2)

d)

10n(n²-6)

13.

Simplify:  x2+6x−7x2−49Simplify:\ \ \frac{x^2+6x-7}{x^2-49}  

a)

x−1x+7\frac{x-1}{x+7}  

b)

x+1x+7\frac{x+1}{x+7}  

c)

x−1x−7\frac{x-1}{x-7}  

d)

x+1x−7\frac{x+1}{x-7}  

14.

Simplify:  x2+6xx2+3x−18Simplify:\ \ \frac{x^2+6x}{x^2+3x-18}  

a)

xx+3\frac{x}{x+3}  

b)

xx−3\frac{x}{x-3}  

c)

x+6x−3\frac{x+6}{x-3}  

d)

xx+6\frac{x}{x+6}  

15.
Simplify 
a)
A.(x+7)/(x-4)
b)
B.-3/4
c)
C.(x+3)/(x+4)
d)
D.(x+3)/(x-4)
16.
a)
b)
c)
d)
17.

Simplify:

5x2x−3−4x23x+1\frac{5x}{2x-3}-\frac{4x^2}{3x+1}  

a)

no solution

b)

−8x3+27x2+5x(2x−3)(3x+1)\frac{-8x^3+27x^2+5x}{\left(2x-3\right)\left(3x+1\right)}  

c)

−8x3+3x2+5x(2x−3)(3x+1)\frac{-8x^3+3x^2+5x}{\left(2x-3\right)\left(3x+1\right)}  

d)

7x2+17x(2x−3)(3x+1)\frac{7x^2+17x}{\left(2x-3\right)\left(3x+1\right)}  

18.

Simplify: 

8xx−4−113x+1\frac{8x}{x-4}-\frac{11}{3x+1}  

a)

24x2−3x−44(3x+1)(x−4)\frac{24x^2-3x-44}{\left(3x+1\right)\left(x-4\right)}  

b)

24x2+19x−44(3x+1)(x−4)\frac{24x^2+19x-44}{\left(3x+1\right)\left(x-4\right)}  

c)

24x2−3x+44(3x+1)(x−4)\frac{24x^2-3x+44}{\left(3x+1\right)\left(x-4\right)}  

d)

13x2+52x(3x+1)(x−4)\frac{13x^2+52x}{\left(3x+1\right)\left(x-4\right)}  

19.
Multiply and Simplify 
a)
4(x+3)/(x+2),
b)
(x+2)/4(x+1)
c)
(x+2)/4(x+3),
d)
4(x+1)/(x+2), 
20.

What are the restricted values?

a)

x = - 3 and x = 4

b)

x = 3 and x = - 4

c)

x = 3 only

d)

x = - 4 only

21.
Multiply
a)
A.
b)
B.
c)
C.
d)
D.
22.

Divide the Rational Expression

a)

A

b)

B

c)

C

d)

D

23.

What is the axis of symmetry of this parabola?

a)

-4

b)

x = -4

c)

x = -2

d)

y = -4

24.

Let the graph of g be a translation 7 units right and a reflection of the graph of f(x) = x2. Write a rule for g.

a)

g(x) = -(x - 7)2

b)

g(x) = (x - 7)2

c)

g(x) = -(x + 7)2

d)

g(x) = (x + 7)2

25.

Let the graph of g be a translation 7 units right and 12 units up of the graph of f(x) = (x + 3)2 - 8. Write a rule for g.

a)

g(x) = (x - 4)2 + 4

b)

g(x) = (x + 10)2 + 4

c)

g(x) = (x - 4)2 - 20

d)

g(x) = (x + 10)2 - 20

26.
Find the y-intercept of f(x) = 2x2-2x + 1
a)
2
b)
-2
c)
1
d)
-1
27.
Find the vertex of 
f(x) = -x2 - 4x + 12.
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
28.

Which side is opposite of theta?

a)

z

b)

y

c)

x

d)

w

29.

Which is the trig function that relates the adjacent side and the hypotenuse?

a)

cosine

b)

sine

c)

tangent

d)

all of the above

30.

Set up the problem so that you can solve for X.

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

31.

Solve for x. Round to the nearest tenth.

a)

15.3

b)

16.6

c)

24.1

d)

24.3

32.
Which Law would you use?
a)
Law of Sines
b)
Law of Cosines
c)
Law of the Jungle
d)
Law of Gravity
33.

What is the measure of angle A?

a)

58°58\degree

b)

61°61\degree

c)

78°78\degree

d)

74°74\degree

34.
What is the length of side x?
a)
130 cm
b)
112 cm
c)
150 cm
d)
105 cm
35.

Using Heron's Formula, find the Area.

a)

56

b)

28

c)

24.2

d)

104.4

36.

Find the area of ABC to the nearest tenth.

a)

62.3 units2

b)

124.6 units2

c)

77.0 units2

d)

100 units2

37.
What if the value of x?
a)
16
b)
12
c)
4
d)
64
38.
What is the value of f?
a)
20
b)
15
c)
25
d)
50