wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Algebra I Extra Credit Final

Total questions: 145

Worksheet time: 24hrs 10mins

Name
Class
Date
1.

Simplify 7n3n18+n+33\frac{7n}{3n-18}+\frac{n+3}{3}  

a)

8n+33n15\frac{8n+3}{3n-15}  

b)

n2+4n183(n6)\frac{n^2+4n-18}{3\left(n-6\right)}  

c)

7(n+3)3(3n18)\frac{7\left(n+3\right)}{3\left(3n-18\right)}  

d)

7n+n+33n18+3\frac{7n+n+3}{3n-18+3}  

2.

Simplify 8nn3+3n5n6\frac{8n}{n-3}+\frac{3n}{5n-6}  

a)

43n29(5n6)(n3)\frac{43n^2-9}{\left(5n-6\right)\left(n-3\right)}  

b)

11n6n9\frac{11n}{6n-9}  

c)

43n257n(n3)(5n6)\frac{43n^2-57n}{\left(n-3\right)\left(5n-6\right)}  

d)

8n+3nn3+5n6\frac{8n+3n}{n-3+5n-6}  

3.

4xx53x6\frac{4x}{x-5}-\frac{3}{x-6}  Simplify

a)

4x227x+15(x6)(x5)\frac{4x^2-27x+15}{\left(x-6\right)\left(x-5\right)}  

b)

4x32x+1\frac{4x-3}{2x+1}  

c)

4x227x+21(x6)(x5)\frac{4x^2-27x+21}{\left(x-6\right)\left(x-5\right)}  

d)

4x2+21x+15(x5)(x+6)\frac{4x^2+21x+15}{\left(x-5\right)\left(x+6\right)}  

4.

m2+m30m2+13m +42÷m2m+7\frac{m^2+m-30}{m^2+13m\ +42}\div\frac{m-2}{m+7}  Simplify

a)

m5m2\frac{m-5}{m-2}  

b)

(m5)(m2)(m+7)2\frac{\left(m-5\right)\left(m-2\right)}{\left(m+7\right)^2}  

c)

m2+2m32m2+14m+49\frac{m^2+2m-32}{m^2+14m+49}  

d)

52m2\frac{-5}{2m^2}  

5.

28m364m2÷18m2\frac{2}{8m^3-64m^2}\div\frac{1}{8m^2}  

a)

2m64m2\frac{2}{m-64m^2}  

b)

16m28m2(m8)\frac{16m^2}{8m^2\left(m-8\right)}  

c)

264m4(m8)\frac{2}{64m^4\left(m-8\right)}  

d)

2m8\frac{2}{m-8}  

6.

x+1x21x+x+1x\frac{\frac{x+1}{x^2}}{\frac{1}{x}+\frac{x+1}{x}}  Simplify

a)

x+1x2x+2x\frac{\frac{x+1}{x^2}}{\frac{x+2}{x}}  

b)

x+1x(x+2)\frac{x+1}{x\left(x+2\right)}  

c)

2x+2x(x+2)\frac{2x+2}{x\left(x+2\right)}  

d)

1x\frac{1}{x}  

7.

m13+18m\frac{m}{\frac{1}{3}+\frac{18}{m}}  Simplify

a)

3m2m+54\frac{3m^2}{m+54}  

b)

mm+543m\frac{m}{\frac{m+54}{3m}}  

c)

3m+54\frac{3}{m+54}  

d)

3m219\frac{3m^2}{19}  

8.

15n2+25n=n+5n2\frac{1}{5n^2}+\frac{2}{5n}=\frac{n+5}{n^2}  Solve. Check for extraneous solutions.

a)

n = 4n\ =\ 4  

b)

n = 8n\ =\ 8  

c)

n = 2n\ =\ 2  

d)

n=8n=-8  

9.

16x+16=12x\frac{1}{6x}+\frac{1}{6}=\frac{1}{2x}  Solve. Check for extraneous solutions.

a)

x = 2x\ =\ 2  

b)

x = 3x\ =\ 3  

c)

x = 0x\ =\ 0  

d)

x = 1x\ =\ 1  

10.
Find the LCD of these fractions.
a)
(x+2)(x-2)
b)
(x+2)
c)
(x-2)
d)
(x2-4)(x+2)
11.
Find the least common denominator of the expression
a)
18
b)
6x
c)
3xy
d)
6xy
12.

Find the LCD of the following rational expressions
2xx+1\frac{2x}{x+1}  and  1x21\frac{1}{x^2-1}

a)

(x+1)(x-1)

b)

(x+1)2 (x-1)

c)

(2x+2)

13.

Given the sum

3xx+2+6x+1(x+2)(x5)\frac{3x}{x+2}+\frac{6x+1}{\left(x+2\right)\left(x-5\right)}  


What is the LCD (lowest common denominator)?

a)

(x+2)(x+2)(x5)\left(x+2\right)\left(x+2\right)\left(x-5\right)  

b)

(x+2)(x5)\left(x+2\right)\left(x-5\right)  

c)

x5x-5  

d)

x+2x+2  

14.

Given

(x+1)(x7)(x4)(x+3)\frac{\left(x+1\right)\left(x-7\right)}{\left(x-4\right)\left(x+3\right)}  

What values will make the rational expression UNDEFINED?

a)

x=1, x=7x=-1,\ x=7  

b)

x=1, x=4, x=7, x=3x=-1,\ x=4,\ x=7,\ x=-3  

c)

None

d)

x=4 , x=3x=4\ ,\ x=-3  

15.

Simplify x2+x302x10\frac{x^2+x-30}{2x-10}  

a)

x+3x+3  

b)

x232\frac{x^2-3}{2}  

c)

x+62x2\frac{x+6}{2x-2}  

d)

x+62\frac{x+6}{2}  

16.
When adding and subtracting rational expressions, my first step should be to:
a)
Combine like terms in the numerators.
b)
Determine a Least Common Denominator.
c)
Factor all of the numerators and all of the denominators.
d)
Change the operator to multiplication and reciprocate the second fraction.
17.
Solve!
a)
x = 2
b)
x = 6
c)
x = 4
d)
x = 8
18.
Solve the equation for x.
a)
6
b)
12
c)
0
d)
3
19.

Solve and check for extraneous solutions

a)

x= - 3 &x= -8

b)

x= -3

c)

No Solution

d)

x= -8

20.
Solve!
a)
x = 2
b)
x = 0.5
c)
x = -2
d)
x= 5
21.
Peter can mow the lawn in 40 minutes and John can mow the lawn in 60 minutes. How long will it take for them to mow the lawn together?
a)
48 minutes
b)
50 minutes
c)
24 minutes
d)
12 minutes
22.

If the same number is added to the numerator and the denominator of 37\frac{3}{7}  the resulting equation is 23\frac{2}{3}  . What is the number?

(a)  

23.

Evaluate  5(x2)(5x10)\frac{5\left(x-2\right)}{\left(5x-10\right)}  if  x=7x=-7  

a)

11  

b)

59\frac{5}{9}  

c)

00  

d)

undefined

24.

Evaluate  x+4x2+6x+8\frac{x+4}{x^2+6x+8}  if  x=2x=2  

a)

44  

b)

14\frac{1}{4}  

c)

00  

d)

undefined

25.

Evaluate 3xy2x+3y for x=4 and y=2\frac{3xy}{2x+3y}\ for\ x=4\ and\ y=-2  

a)

1212  

b)

127-\frac{12}{7}  

c)

127\frac{12}{7}  

d)

12-12  

26.

5x +39x2 if x =3\frac{5x\ +3}{9-x^2}\ if\ x\ =3  Evaluate



(a)  

27.

A Jar has 24 marbles of various colors: 2 are black, 6 are blue, 10 are red, 2 are red and blue, and 4 are green.

What is the probability of drawing a green marble?

a)

16\frac{1}{6}  

b)

124\frac{1}{24}  

c)

112\frac{1}{12}  

d)

14\frac{1}{4}  

28.

A Jar has 24 marbles of various colors: 2 are black, 6 are blue, 10 are red, 2 are red and blue, and 4 are green.

What is the probability that a black marble is removed and replaced before a green marble is removed.

a)

14\frac{1}{4}  

b)

169\frac{1}{69}  

c)

172\frac{1}{72}  

d)

16\frac{1}{6}  

29.

A Jar has 24 marbles of various colors: 2 are black, 6 are blue, 10 are red, 2 are red and blue, and 4 are green.

What is the probability that a red marble is removed and not replaced before a green marble is removed.

a)

169\frac{1}{69}  

b)

569\frac{5}{69}  

c)

172\frac{1}{72}  

d)

572\frac{5}{72}  

30.

A Jar has 24 marbles of various colors: 2 are black, 6 are blue, 10 are red, 2 are red and blue, and 4 are green.

What is the probability that a marble having red or blue is taken out of the drawer.

a)

34\frac{3}{4}

b)

23\frac{2}{3}  

c)

172\frac{1}{72}  

d)

572\frac{5}{72}  

31.
Describe the association between the number of lanes rented and the number of people bowling.
a)

Negative association

b)
No association
c)

Positive association

32.
What type of relationship does this graph have?
a)
Positive
b)
Negative
c)
No Relationship
d)
Constant 
33.
What is the type of relationship?
a)
Negative 
b)
No Relationship
c)
Positive
d)
Constant 
34.

The equation of the trend line is y= 1/2x +1

How many laps can a bicycle make around the park in 11 minutes?

a)

44 laps

b)

12 1/2 laps

c)

20

d)

23

35.
A researcher gathered data to predict the number of new types of plants (y) that will be in a state park after x years.  After making a scatter plot of the data, she determined the equation of a line of best fit to be
y = 0.25x + 8
Based on the equation, what is the number of new types of plants that will be in the park after 24 years?
a)
8
b)
14
c)
32
d)
64
36.

When the debate team practiced 4 hours, how many debates did they win?

a)

12

b)

14

c)

16

d)

10

37.

20 21 22 22 22 25 27 29 31 31

33 33 34 34 34 38 39 40 41 42

What is the mode?

a)

no mode

b)

22

c)

22, 34

d)

22, 31, 33, 34

38.

20 21 22 22 22 25 27 29 31 31

33 33 34 34 34 38 39 40 41 42

The sum is 618. What is the mean

(a)  

39.

20 21 22 22 22 25 27 29 31 31

33 33 34 34 34 38 39 40 41 42

What is the range?

(a)  

40.

20 21 22 22 22 25 27 29 31 31

33 33 34 34 34 38 39 40 41 42

What is the 5 number summary?

a)

20-25-33-38-42

b)

20-23.5-32-36-42

c)

20-22-31-34-42

d)

1-2-3-4-5

41.

The fit line equation for a scatterplot is y=5.09x + 17.12. According to the equation, what is the expected value of y when the x-value is 14?

(a)  

42.

If the required value of y is 57.84, use the fit line equation y=5.09x + 17.12 to determine the needed x-value.

(a)  

43.

What is the percent of change for the number of trees from federal park to the childen's park? Round to the nearest whole percent.

(a)  

44.

Which park had the least number of trees?

a)

State Park

b)

Federal Park

c)

Children's Park

d)

Private Acreage

45.

How many trees are there in all the parks if the Children's Park and Private Acreage are not included?

(a)  

46.

Which class has the highest frequency of values?

a)

75-80 class

b)

70-75 class

c)

50-55 class

d)

55-60 class

47.

What is the value of the first quartile?

a)

90

b)

40

c)

100

d)
140
48.

Describe the skew of the box and whisker plots.

a)

both plots are right-skewed

b)

both plots are left-skewed

c)

The top plot is right-skewed while the bottom is balanced.

d)

The top plot is left-skewed while the bottom is balanced.

49.

What is the range of the bottom box-and-whisker plot?

a)

30

b)

70

c)

74

d)

100

50.

How many pine trees are there in Federal Park?

(a)  

51.

Which term best refers to non-numeric information that can be observed but not measured?

a)

qualitative

b)

quantitative

c)

inferential

d)

descriptive

52.

What is the name of the first number in a five-number summary

a)

maximum

b)

minimum

c)

median

d)

first quartile

53.

What is the name of the last number in a five-number summary

a)

maximum

b)

minimum

c)

median

d)

first quartile

54.

What is the name of the second number in a five-number summary

a)

maximum

b)

minimum

c)

median

d)

first quartile

55.

Which field of statistics involves drawing conclusions to make decisions from data?

a)

inferential

b)

descriptive

56.

What increases skewness in a frequency distribution?

a)

mean

b)

median

c)

quartile

d)

an outlier

57.

Which measure of center is resistant?

a)

mode

b)

median

c)

mean

58.

Which group of probabilities is valid?

a)

.49, -.19, .45, .25

b)

.45, .35, .15, .05

c)

1.21, .35, .49, .21

59.
a)
7√3
b)
Can't Simplify
c)
6√15
d)
6√3
60.
a)
8√6
b)
8√12
c)
12√6
d)
12√12
61.
Simplify:
a)
A
b)
B
c)
C
d)
D
62.

Rationalize the denominator:
523\frac{\sqrt{5}}{2\sqrt{3}}  

a)

156\frac{\sqrt{15}}{6}  

b)

1518\frac{\sqrt{15}}{18}  

c)

536\frac{5\sqrt{3}}{6}  

d)

5318\frac{5\sqrt{3}}{18}  

63.

Rationalize the denominator:
2812\frac{2\sqrt{8}}{\sqrt{12}}  

a)

966\frac{\sqrt{96}}{6}  

b)

263\frac{2\sqrt{6}}{3}  

c)

29612\frac{2\sqrt{96}}{12}  

d)

4223\frac{4\sqrt{2}}{2\sqrt{3}}  

64.

Choose the linear term.

a)

3x

b)

x2x^2  

c)

48

d)

2x32x^3  

65.

Which shows the prime factorization of the number 260?

a)

35213=2603\cdot5\cdot2\cdot13=260  

b)

22513=2602\cdot2\cdot5\cdot13=260  

c)

12526=2601\cdot2\cdot5\cdot26=260  

d)

2013=26020\cdot13=260  

66.

16x22516x^2-25  

(a)  

67.

x35xx^3-5x  

a)

x(x25)x\left(x^2-5\right)  

b)

primeprime  

c)

x(x35x)x\left(x^3-5x\right)  

d)

x(x25x)x\left(x^2-5x\right)  

68.

  x2+7x+12x^2+7x+12  

(a)  

69.

24x2+52x2024x^2+52x-20  

(a)  

70.

A pure quadratic does not have a _______.

a)

linear term

b)

quadratic

c)

constant

d)

zero

71.

Which of these is a pure quadratic?

a)

x2+bx+c=0x^2+bx+c=0  

b)

ax2+c=0ax^2+c=0  

c)

ax2+bx+cax^2+bx+c  

d)

ax2+bx=cax^2+bx=c  

72.

Which of these correctly states the quadratic formula?

a)

x=b±b22ac4ax=\frac{-b\pm\sqrt[]{b^2-2ac}}{4a}  

b)

x=b2±b4ac2ax=\frac{b^2\pm\sqrt[]{-b-4ac}}{2a}  

c)

x=b±b24ac2ax=\frac{b\pm\sqrt[]{b^2-4ac}}{2a}  

d)

x=b±b24ac2ax=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}  

73.

Which of the following is not a perfect square trinomial?

a)

9x218x+99x^2-18x+9  

b)

x2+6x9x^2+6x-9  

c)

x2+4x+4x^2+4x+4  

d)

4x220x+254x^2-20x+25  

74.

Which of the following states that every composite number can be written as a product of prime numbers?

a)

multiplication property

b)

zero factor property

c)

fundamental thereom of arithmatic

d)

addition property

75.

Which of the following allows each factor of a factored quadratic equation to be set equal to zero.

a)

multiplication property

b)

zero factor property

c)

fundamental thereom of arithmatic

d)

addition property

76.

Which of the following is the Pythagorean theorem?

a)

a2+b2=c2a^2+b^2=c^2  

b)

a2+c2=b2a^2+c^2=b^2  

c)

b2+c2=a2b^2+c^2=a^2  

d)

a+b=ca+b=c  

77.

xx6\sqrt[]{x}\cdot\sqrt[6]{x}  

a)

x23\sqrt[3]{x^2}  

b)

x3\sqrt[]{x^3}  

c)

x212\sqrt[12]{x^2}  

d)

x26\sqrt[6]{x^2}  

78.

(32)2\left(3-\sqrt[]{2}\right)^2  

a)

9+629+6\sqrt[]{2}  

b)

9+29+\sqrt[]{2}  

c)

116211-6\sqrt[]{2}  

d)

8628-6\sqrt[]{2}  

79.

What is the solution of the equation a2 – 60 = 21?

a)

positive or negative 4

b)

positive or negative 6

c)

positive or negative 7

d)

positive or negative 9

80.
ax2+bx+c=0  is the standard form of a quadratic equation.
a)
True
b)
False
81.

What is the answer to the following: 3x 7 = 5\sqrt{3x}-\ 7\ =\ 5  

a)

48

b)

12

c)

36

d)

144

82.

What is the value of x in the following equation: x + 11 = 5\sqrt{x\ +\ 11}\ =\ 5  

a)

25

b)

14

c)

36

d)

116

83.

Solve

a)

v = -14

b)

v = 14

c)

No Solution

d)

v = 28

84.

Solve the equation by factoring.

a)

x = {-5,-3}

b)

x = {5,-3}

c)

x = {-5,3}

d)

x = {5,3}

85.

Solve by factoring

a)

-4, 2

b)

-2, 4

c)

-16

d)

-4

86.

The length of a rectoangle is 5 feet more than twice its width. The area is 52 square feet. What is the length of the rectangle?

(a)  

87.

The length of a rectangle is 4 inches more than twice the width. If the area of the rectangle is 48 square inches, what is the length of the rectangle?

(a)  

88.
Simplify the following expression:
a)
2
b)
4
c)
16
d)
64
89.
Simplify:
a)
2
b)
8
c)
16
d)
32
90.

x34\sqrt[4]{x^3}  

a)

x34x^{\frac{3}{4}}  

b)

x43x^{\frac{4}{3}}  

c)

x113x^{1\frac{1}{3}}  

d)

x34x\frac{3}{4}  

91.

x7\sqrt[]{x^7}  

a)

x17x^{\frac{1}{7}}  

b)

x27x^{\frac{2}{7}}  

c)

x71x^{\frac{7}{1}}   

d)

x72x^{\frac{7}{2}}  

92.

xx6\sqrt[]{x}\cdot\sqrt[6]{x}  

a)

x3\sqrt[]{x^3}  

b)

x23\sqrt[3]{x^2}  

c)

xxx\sqrt[]{x}  

d)

2x62\sqrt[6]{x}  

93.

A(3,1) B(-2,-1) written correctly is:

a)

(23)2 + (11)2\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}

b)

(13)2 + (12)2\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}

c)

(23)2  (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

d)

(23)2  (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

94.

A(2,0) B(-2,4) is written as

a)

d = (42)2  (02)2d\ =\ \sqrt{\left(4-2\right)^2\ -\ \left(0-2\right)^2}

b)

d = (40)2  (22)2d\ =\ \sqrt{\left(4-0\right)^2\ -\ \left(-2-2\right)^2}

c)

d = (2 +0)2 + (4+2)2d\ =\ \sqrt{\left(-2\ +0\right)^2\ +\ \left(4+2\right)^2}

d)

d = (22)2 + (40)2d\ =\ \sqrt{\left(-2-2\right)^2\ +\ \left(4-0\right)^2}

95.
Find the distance between (-3, -11) and (8, -42).
a)
32.1
b)
32.3
c)
32.7
d)
32.9
96.
Find the distance between (-5, -8) and (-1, -16).
a)
8.9
b)
9.8
c)
10.3
d)
11
97.
Simplify:
√96
a)
16√6
b)
6√16
c)
9√6
d)
4√6
98.
In the picture, the "3" is called...
a)
the index
b)
the radical sign
c)
the radicand
d)
none
99.

Simplify the radical expression:
2x2y3\sqrt{2x^2y^3}  

a)

2yxy2y\sqrt{xy}  

b)

2xy22x\sqrt{y^2}  

c)

y2xyy\sqrt{2xy}  

d)

xy2yxy\sqrt{2y}  

100.
a)
7√3
b)
Can't Simplify
c)
6√15
d)
6√3
101.
a)
8√6
b)
8√12
c)
12√6
d)
12√12
102.
Simplify:
a)
A
b)
B
c)
C
d)
D
103.

Rationalize the denominator:
523\frac{\sqrt{5}}{2\sqrt{3}}  

a)

156\frac{\sqrt{15}}{6}  

b)

1518\frac{\sqrt{15}}{18}  

c)

536\frac{5\sqrt{3}}{6}  

d)

5318\frac{5\sqrt{3}}{18}  

104.

Rationalize the denominator:
2812\frac{2\sqrt{8}}{\sqrt{12}}  

a)

966\frac{\sqrt{96}}{6}  

b)

263\frac{2\sqrt{6}}{3}  

c)

29612\frac{2\sqrt{96}}{12}  

d)

4223\frac{4\sqrt{2}}{2\sqrt{3}}  

105.

Find the missing side

a)

11

b)

61

c)

61\sqrt{61}

d)

11\sqrt{11}

106.

Which equation can be used to solve for "x"?

a)

152 – x2 = 212

b)

x2 – 152 = 212

c)

152 + 212 = x2

d)

212 – 152 = x2

107.

Determine the length of the missing side.

a)

7

b)

8

c)

17

d)

23

108.
Question 1
a)
10
b)
8
c)
16
d)
4
109.
Question 3
a)
20
b)
11
c)
4
d)
-2
110.
Question 7
a)
8
b)
2
c)
9
d)
0
111.

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

15.7

e)

None of them

112.
The Pythagorean Theorem is
a2 + b+ c2
a)
false
b)
true
113.

What is the conjugate of x3x-\sqrt[]{3}  ?

a)

x+3\sqrt[]{x}+3  

b)

3x\sqrt[]{3}-x  

c)

x3\sqrt[]{x}-3  

d)

x+3x+\sqrt[]{3}  

114.

What is the principle root of 1253\sqrt[3]{-125}  

(a)  

115.

What is the index of 35x63\sqrt[]{5x^6}  

(a)  

116.

Which of the following is a like radical with 252\sqrt[]{5}  ?

a)

2632\sqrt[3]{6}  

b)

272\sqrt[]{7}  

c)

353\sqrt[]{5}  

d)

2532\sqrt[3]{5}  

117.

Write the above expression in exponential form.

a)
b)
c)
d)
118.
Rewrite in Exponential Form.
a)
A
b)
B
c)
C
d)
D
119.

Choose the linear term.

a)

3x

b)

x2x^2  

c)

48

d)

2x32x^3  

120.

Choose the quadratic term.

a)

3x

b)

x2x^2  

c)

48

d)

2x32x^3  

121.

Choose the constant.

a)

3x

b)

x2x^2  

c)

48

d)

2x32x^3  

122.

Which shows the prime factorization of the number 260?

a)

35213=2603\cdot5\cdot2\cdot13=260  

b)

22513=2602\cdot2\cdot5\cdot13=260  

c)

12526=2601\cdot2\cdot5\cdot26=260  

d)

2013=26020\cdot13=260  

123.

What is the greatest common factor of 22x4 and 4x222x^4\ and\ 4x^2  

a)

4x24x^2  

b)

2x22x^2  

c)

88x688x^6  

d)

4x4x  

e)

2x

124.

4x2+9x4x^2+9x  

a)

prime

b)

common monomial factor

c)

general trinomial

d)

perfect square trinomial

e)

difference of two squares

125.

x2+x5x^2+x-5   

a)

prime

b)

common monomial factor

c)

general trinomial

d)

perfect square trinomial

e)

difference of two squares

126.

9x2649x^2-64    

a)

prime

b)

common monomial factor

c)

general trinomial

d)

perfect square trinomial

e)

difference of two squares

127.

x218x+81x^2-18x+81     

a)

prime

b)

common monomial factor

c)

general trinomial

d)

perfect square trinomial

e)

difference of two squares

128.

5x27x65x^2-7x-6    

a)

prime

b)

common monomial factor

c)

general trinomial

d)

perfect square trinomial

e)

difference of two squares

129.

16x22516x^2-25  

(a)  

130.

x35xx^3-5x  

a)

x(x25)x\left(x^2-5\right)  

b)

primeprime  

c)

x(x35x)x\left(x^3-5x\right)  

d)

x(x25x)x\left(x^2-5x\right)  

131.

  x2+7x+12x^2+7x+12  

(a)  

132.

24x2+52x2024x^2+52x-20  

(a)  

133.

x249=0x^2-49=0  

a)

x=7x=7  

b)

x=0, x=7x=0,\ x=7  

c)

x=±7x=\pm7  

d)

x=7, x=49x=-7,\ x=49  

134.

x249=0x^2-49=0  

a)

x=7x=7  

b)

x=0, x=7x=0,\ x=7  

c)

x=±7x=\pm7  

d)

x=7, x=49x=-7,\ x=49  

135.

x2+7x+12=0x^2+7x+12=0  

a)

x=-12, x=-7

b)

x=12, x=7

c)

x=3, x=4

d)

x= -3, x= -4

136.

Find two numbers that have a sum of 24 and whose product is 63.

(a)  

137.

The length of a rectangle is 5 feet more than twice its width. The area is 52 square feet. What is the length of the rectangle?

(a)  

138.
Factor
x+ 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
139.
Factor
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
140.
Factor: x2 + 2x – 3
a)
(x - 2)(x + 1)
b)
(x + 1)(x - 3)
c)
(x + 2)(x - 1)
d)
(x - 1)(x + 3)
141.

Factor:

4h² - 12h + 9

a)

(2h - 3)²

b)

4(h + 9)(h + 1)

c)

(2h - 3)(2h + 3)

d)

(h - 9)(4h - 1)

142.

Factor

2x2 - 13x - 70

a)

(2x - 7)(x + 10)

b)

(7x + 5)(x + 2)

c)

(2x + 7)(x - 10)

d)

2(x + 7)(x + 10)

143.
Factor completely: 3x² - 7x + 2
a)
(x - 1) (3x + 2)
b)
(x - 2) (3x -1)
c)
(x - 1) (3x - 2)
d)
(x + 2) (3x + 1)
144.
Factor the polynomial:
5x2 - 13x + 6
a)
(x + 3)(5x - 2)
b)
(x - 2)(5x - 3)
c)
(x + 2)(5x + 3)
d)
(x - 3)(5x + 2)
145.

Factor Completely: 2x² + x - 6

a)

(x + 2) (2x - 3)

b)

(x - 6) (2x + 1)

c)

(x + 1) (2x - 6)

d)

(x - 2) (2x + 3)