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REVIEW PRECALCULUS

Total questions: 56

Worksheet time: 14hrs 0mins

Name
Class
Date
1.
You know 16 cups = 1 gallon. Convert 3.5 gallons into cups.
a)
56 cups
b)
0.21875 cups
c)
19.5 cups
d)
48 cups
2.

The flow of a school drinking fountain is 300 ml/minute, how many liters/hour is that? [Given 1 liter = 1000 ml and I hour = 60 minutes]

a)

18 liters/hour

b)

20 liters/hour

c)

35 liters/hour

d)

44 liters/hour

3.
Bob has a rectangular prism gift box, what is the volume of Bob's gift box?
a)
The volume of Bob's gift box is 64in3.
b)
The volume of Bob's gift box is 60in3.
c)
The volume of Bob's gift box is 240in3.
d)
The volume of Bob's gift box is 24in3.
4.
Find the volume of the figure. Round to the nearest tenth.
a)
80 cm³
b)
40 cm²
c)
80 cm2
d)
40 cm³
5.
Find the volume.
a)
160
b)
80
c)
240
d)
800
6.
What is the correct equation to solve for x ?
a)
tan( 46 ) = 17/x
b)
sin ( 46 ) = x/17
c)
tan (46 ) = x/17
d)
cos (46) = x/17
7.
What is the correct equation to solve for x?
a)
tan (45) = x/13
b)
cos (45) = x/13
c)
sin (45) = 13/x
d)
sin (45) = x/13
8.
a)
3-5 = 1/35
b)
35
c)
342
d)
1/9
9.
Simplify
(-7y2)(5y4)
a)

-35y6

b)

-12y6

c)

-35y8

d)

-2y8

10.
Simplify the following:
(x2y)5
a)
x7y5
b)
x2y5
c)
x10y5
d)
x5y5
11.

Simplify the exponential expression.

a)

2x6y12

b)

2x5y7

c)

8x6y12

d)

8x5y7

12.
-3xy3 . (4xy)2
a)
-12x3y5
b)
-48x2y4
c)
-48x3y5
d)
-12x2y6
13.

 (−8p107r3)2\left(\frac{-8p^{10}}{7r^3}\right)^{^2} 

a)

-64p20/ 49r6

b)

64p20/ 49r6

c)

-8p20/ 14r6

d)

-64p12/ 49r5

14.
Simplify:
a)
√4√12
b)
4√12
c)
4√3
d)
2√3
15.
Simplify the following radical: √32
a)
3√2
b)
4√8
c)
16√2
d)
4√2
16.
√72
a)
7√9
b)
4√6
c)
6√2
d)
3√4
17.

Simplify the following radical:  969\sqrt{6}  

(a)  

18.

5√2

(a)  

19.

Simplify . Your answer should contain only positive exponents.yx13⋅xy32yx^{\frac{1}{3}}\cdot xy^{\frac{3}{2}}  

a)

 x43y52x^{\frac{4}{3}}y^{\frac{5}{2}}  

b)

 x23y12x^{\frac{2}{3}}y^{\frac{1}{2}}  

c)

 x13y32x^{\frac{1}{3}}y^{\frac{3}{2}}  

d)

 x23y43x^{\frac{2}{3}}y^{\frac{4}{3}}  

20.
a)
21/6
b)
64
c)
61/2
d)
26
21.
Write the following expression in radical form:
a)
a.)
b)
b.)
c)
c.)
d)
d.)
22.
Write the expression in exponential form:
∜x5
a)
x4/5
b)
x5/4
c)
x5
d)
x1/4
23.
Factor
x2 - 13x + 36
a)
A
(x + 9)(x + 4)
b)
B
(x - 9)(x - 4)
c)
C
(x + 9)(x - 4)
d)
D
(x - 9)(x + 4)
24.
Factor completely 
16x2 - 16x - 12?
a)
A
4(2x - 2) (2x + 2)
b)
B
(2x - 3) (8x + 4)
c)
C
(8x - 12) (2x + 3)
d)
D
4(2x - 3) (2x + 1)
25.
Factor completely:
y2 - 7y + 12
a)
(y - 3) (y - 4)
b)
(y + 3) (y - 4)
c)
(y + 3) (y + 4)
d)
(y - 2) (y - 6)
26.
Factor completely:
2x2 + 7x + 6
a)
(2x - 3) (x - 2)
b)
(2x + 3) (x + 2)
c)
(x + 3) (2x + 2)
d)
prime
27.
Factor completely:
169 - 9x2
a)
-1(3x + 13) (3x - 13)
b)
(3x + 13) (3x - 13)
c)
(3x + 13) (-3x - 13)
d)
-1(3x - 13) (3x - 13)
28.
(x +2)(x + 3)
a)
x2 + 5x + 6
b)
x2 + x + 6
c)
x2 + 5x + 5
d)
x2 + 6x + 6
29.
(5x+2)(x2-3x+6)
a)
5x3 - 17x2 +24x +12
b)
5x3 + 17x2 - 24x +12
c)
5x3 - 13x2 + 24x +12
d)
5x3 +13x2 - 24x - 12
30.
(x-3)(x2+2x+7)
a)
x3-x2+x-21
b)
x3+5x+13x-21
c)
x3-3x2+7x-21
d)
x2+2x-3
31.
Find the product:
(5s+2)2
a)
25s2+4
b)
25s2+10s+4
c)
25s2+20s+4
d)
5s2+20s+4
32.

a)

A) 2

b)

B) - 2

c)

C) 1/2

d)

D) -3

33.

a)

A

b)

B

c)

C

d)

D

34.

a)

2

b)

0

c)

-2

d)

-3

35.
Solve by elimination 
-2x + 6y = 16
-4x  - 3y = 2
a)
(2,2)
b)
(-2, -2) 
c)
(-2,2)
d)
(2,1)
36.

Halla el valor d ela hipotenusa.

a)

6

b)

5

c)

8

d)

10

37.

Determine el valor de "x" en el siguiente triángulo rectángulo:

a)

169

b)

15

c)

-119

d)

13

38.

Una escalera de 30 mts. de longitud está apoyada

sobre la pared. El pie de la escalera dista 18 mts.

de la pared.

¿Qué altura alcanza la escalera sobre

la pared?

a)

8 m

b)

16 m

c)

24 m

d)

26 m

39.

Write the inequality in interval notation.

a)

[-4, -1)

b)

(-4, -1)

c)

(-4, -1]

d)

[-4, -1]

40.

Write the following in interval notation

-7 ≤ x < 8

a)

(-7, 8)

b)

[-7, 8)

c)

[-7, 8]

d)

(-7, 8]

41.

Look at the graph. Write the interval notation for the graph.

a)

(-2,5)

b)

(-∞,-2)⋃(5,∞)

c)

[-2,5]

d)

(-∞,-2]∪[5,∞)

42.
Write the following in interval notation
x > 6 and x ≤ 10
a)
(-∞, 6) and (10, ∞)
b)
[6, 10)
c)
(-∞, 6] and [10, ∞)
d)
(6, 10]
43.
En una urna se tienen 12 fichas de diferentes figuras y colores: 4 círculos rojos, 3 triángulos amarillos, 2 cuadrados rojos y 3 rombos azules. Si se extrae cualquier ficha al azar, ¿Cuál es la probabilidad de obtener una de color rojo?
a)
0.16
b)
0.25
c)
0.33
d)
0.5
44.

The figure shows a circle inside a triangle. Which equation could be used to find the area of the shaded region?

a)

A = ½bh - 2πr

b)

A = πr² - ½bh

c)

A = ½bh - πd

d)

A = ½bh - πr²

45.

Calculate the area of the shaded part.

a)

31 cm2

b)

30 cm2

c)

35 cm2

d)

37 cm2

46.

a)

132°

b)

48°

47.

If the m∠5 = 4x – 5 and m∠1 = 37°, write an equation and solve to find x.

a)

x = 11

b)

x = 10.5

c)

x = 12

d)

x = 8

48.

The probability of an event is 14/16. What's the probability of the complement to this event written as a fraction in simplest form?

a)

2/16

b)

1/8

c)

7/8

d)

14/16

49.

What is the mode in this set of numbers:

7, 14, 20, 3, 7, 14, 2, 14, 7

a)

7

b)

14

c)

7 & 14

d)

none of the above

50.

Find the median from the list of numbers:

60, 58, 52, 48, 60, 67

a)

58

b)

59

c)

60

d)

118

51.

Students were surveyed about their favorite sports to play in phys.ed. The results are represented in this circle graph. If 48 students were surveyed, how many chose soccer?

a)

10

b)

12

c)

15

d)

14

52.

Solve for x.

-2(3x - 9) = 12

a)

x = -5

b)

x = 1

c)

x = 7

d)

x = -1

53.

Solve the Inequality.

2x + 5 > 11

a)

x ≠ 3

b)

x < 3

c)

x > 3

d)

x = 3

54.

Distribute and then reduce by combining like terms.


12x(x−7)−8(x−7)

a)

4x2 - 28x

b)

12x2 - 92x + 56

c)

12x2 - 92x - 56

d)

12x2 - 76x + 56

55.

Reduce the following expression by combining like terms:

(5x4 - 3x + 8x2) - (8x4 - 7x2)

a)

13x4 - 3x + 1x2

b)

-3x4 + 15x2 - 3x

c)

-3x4 - 1x2 + 3x

d)

13x4 + 15x2 - 3x

56.

Solve the inequality: -12 < 7x + 9 < 16

a)

-3/7 < x < 1

b)

-3 < x < 1

c)

-3 > x > 1

d)

x > -3 or x < 1

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