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Worksheets

GED MATH Ultimate

Total questions: 110

Worksheet time: 6hrs 43mins

Name
Class
Date
1.

Find the product:

(3x + 2)(2x + 4)\left(3x\ +\ 2\right)\left(2x\ +\ 4\right)  

a)
6x2 + 16x + 8
b)
5x2 +11x + 6
c)
5x2 + 16x + 6
d)
6x2 + 11x + 8
2.
Add or Subtract to Simplify:
(5x + x2 - 4) - (4x - x2 + 6)
a)
2x2 + x + 2 
b)
x + 2
c)
2x2 + x - 10 
d)
x - 10 
3.
Divide the polynomial by the monomial.
a)
2x8-8x2-28x
b)
2x8-2x2-7x
c)
8x7-8x-28x
d)
2x7 -2x -7
4.
Factor by grouping:
x³+7x²-2x-14
a)
(x²-2)(x-7)
b)
(x²+2)(x-7)
c)
(x²+2)(x+7)
d)
(x²-2)(x+7)
5.

Factor

a)

A

b)

B

c)

C

d)

D

6.

x2+4x-32=0

a)

x= -8, 4

b)

x= 8, -4

c)

x= -8, -4

7.

x2-14x-51=0

a)

x= 17, -3

b)

x= -17, 3

c)

x= -17, -3

8.
Solve for x:
2x + 5 = 12
a)
7
b)
3
c)
3.5
d)
8.5
9.
Solve for x:
6(2x + 1) = 18
a)
3
b)
17/12
c)
1
d)
2
10.
Solve for x: 
4x + 1 = 7x - 5
a)
-1
b)
2
c)
6/11
d)
8
11.

1. Find the slope of the line passing through the points (3, 4) and (5, 7).

a)

1/2

b)

2/3

c)

-1/2

d)

3/2

12.

2. Calculate the slope of the line with the points (-2, 6) and (4, 10).

a)

2

b)

2/3

c)

3/2

d)

1/2

13.
Find the slope:
a)
2
b)
-2
c)
1/2
d)
-1/2
14.
Find the Slope
a)
1/4
b)
Zero
c)
4
d)
Undefined
15.
Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike? 
a)
15h ≤ 105
b)
15h > 105
c)
15h < 105
d)
15h ≥ 105
16.

Solve  4x−10≤224x-10\le22  

a)

 x≤8x\le8  

b)

 x≤3x\le3  

c)

 x≥8x\ge8  

d)

 x≥3x\ge3  

17.

Match the given graph with the inequality.

a)

11<a11<a

b)

11≤a11\le a

c)

11>a11>a

d)

11≥a11\ge a

18.

When you graph an inequality on a number line, you should use a closed circle/dot when the inequality has which symbols?

a)

≤,≥\le,\ge

b)

<,><,>

c)

≥,>\ge,>

d)

<,≤<,\le

19.

 x=15x=15  makes the inequality  x+9>21x+9>21 ____.

a)

true

b)

false

20.

Simplify: (3x2)(5x3)\left(3x^2\right)\left(5x^3\right)

a)

15x515x^5

b)

15x615x^6

21.

Simplify: (2x4)3\left(2x^4\right)^3

a)

8x128x^{12}

b)

8x78x^7

c)

2x122x^{12}

22.

Simplify: (3x)2(6x7)−1(3x)^2(6x^7)^{-1}

a)

3x92\frac{3x^9}{2}

b)

32x5\frac{3}{2x^5}

c)

18x5\frac{18}{x^5}

d)

3x52\frac{3x^5}{2}

23.

Evaluate  5(x−2)(5x−10)\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.

Find the values that make the Rational Expression undefined:

 x2−6x+5x2−25\frac{x^2-6x+5}{x^2-25}  

a)

 x=5,−5x=5,-5  

b)

 x=5x=5  

c)

 x=1x=1  

d)

 x=−5x=-5  

26.
What is the median of the data?
a)
200
b)
100
c)
90
d)
140
27.
Which restaurant has a higher median wait time?
a)
Lucy's Steakhouse
b)
Gary's Grill
c)
They are the same
28.
What is the minimum value?
a)
64
b)
58
c)
66
d)
60
29.

Order the numbers from greatest to least:

a)

-52, 27, 50, -51, -2

b)

50, 27, -2, -51, -52

c)

50, 27, -52, -51, -2

d)

-52, -51, -2, 27, 50

30.
Which set of integers are in order from greatest to least.
a)
-15, -16, -17, -18, -19
b)
3, 2, 1, 0, -1
c)
-2, -57, 0, 8, -23
d)
√7, 5.16, 3/4, -8
31.
List in order from least to greatest.
5/4, 56%, 1.07, 4/5
a)
5/4, 56%, 1.07, 4/5
b)
1.07, 4/5, 5/4, 56%
c)
56%, 1.07, 4/5, 5/4
d)
56%, 4/5, 1.07, 5/4
32.

Order the following from greatest to least:

0.35, ⅜, 42%, ⅘, 0.2

a)

⅘, 42%, ⅜, 0.35, 0.2

b)

⅜, 42%, ⅘, 0.2, 0.35

c)

⅘, 0.35, ⅜, 42%, 0.2

d)

0.2, 0.35, ⅜, 42% ⅘,

33.

What is a common factor of 14 and 18?

a)

6

b)

7

c)

2

d)

9

34.

What is a common factor of 45 and 50?

a)

10

b)

2

c)

3

d)

5

35.
Solve for x
l 2x−1 l = 9
a)
x = 5 and x =-4
b)
x = 5 and x = -5
c)
Only x = 5
d)
No Solution
36.

Which list orders the integers from least to greatest?

a)

-5, 3, -2, l -4l

b)

-2, 3, l-4l, -5

c)

-5, -2, 3, l-4l

d)

-2, -5, 3, l-4l

37.

Which statement best describes l -4 l?

a)

the distance from -4 to 4 on a number line

b)

the distance from 4 to 0 on a number line

c)

the distance from -4 to 0 on a number line

d)

the distance from 0 to 4 on a number line

38.

Evaluate the following expression

I -3 I

a)

0

b)

3

c)

-3

d)

.3

39.

Absolute value is always a ____________

a)

positive

b)

negative

c)

inequality

d)

rational number

40.
What is the LCM of 32 and 40?
a)
180
b)
160
c)
140
d)
200
41.
What is the LCM of 45 and 72?
a)
72
b)
3,240
c)
360
d)
260
42.

30% of what number is 24?

(a)  

43.

What percent of 29 is 3?

a)

10.3%

b)

20.7%

c)

30.9%

d)

41.2%

44.

1 is what percent of 52.6?

a)

1.9%

b)

3.8%

c)

5.7%

d)

7.6%

45.
a)
Function
b)
Not a Function
46.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
47.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
48.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
49.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
50.

Write a linear equation in the form of y=mx+b

a)

y= 3x + 5

b)

y = 5x - 3

c)

y = 2x + 3

d)

y = 5x + 3

51.

Write a linear equation in the form of y=mx+b

a)

y = 2x + 2

b)

y = 2x - 2

c)

y = x + 2

d)

y = 3x - 2

52.
Given f(x) = 2x2 + 5x - 17, find f(-1). 
a)
f(-1) = -20
b)
f(-1) = -24
53.
Given f(x) = -4x - 10 and f(x) = 10. Find x
a)
x = -5
b)
x = 5
c)
x = -50
d)
x = 30
54.
For the function f(x) = -3x + 3 find f(0).
a)
0
b)
-3
c)
3
d)
-1
55.
Find the area of a parallelogram with a base of 56 mm and a height of 41 mm
a)
2296 mm
b)
2696 mm2
c)
2926 mm2
d)
2296 mm2
56.
Find the AREA of this figure.
a)
160 square feet
b)
161 feet
c)
106
d)
1600 feet
57.

What is the area of this trapezoid?

a)

108 cm2

b)

60 cm2

c)

432 cm2

d)

216 cm2

58.

Find the area of the parallelogram.

a)

60 in2

b)

50 in2

c)

40 in2

d)

30 in2

59.

What is the area of this circle?

a)

18.85 cm2

b)

88.826 cm2

c)

29.609 cm2

d)

28.274 cm2

60.

What is the circumference of this circle?

a)

78.416 meters

b)

31.416 meters

c)

15.708 meters

d)

62.832 meters

61.
What is the perimeter of the following figure? 
a)
20 units
b)
19 units
c)
21 units
d)
18 units
62.
What is the area of this figure?
a)

52 cm2cm^2

b)

36 cm

c)

40 cm2cm^2

d)

77 cm

63.

Find the perimeter of the figure

a)

25 m

b)

56 m

c)

50 m

d)

150 m

64.
Perimeter of triangle??
a)
20 cm
b)
28 cm
c)
27 cm
d)
56 cm
65.
Area of triangle?
a)
17 units2
b)
20 units2
c)
10 units2
d)
16 units2
66.
Find the area of the figure
a)

43 in2

b)

102 in2

c)

37 in2

d)

90 in2

67.
a)

55 yd3

b)

121 yd3

c)

22 yd3

d)

330 yd3

68.

Find the surface area of the rectangular prism.

a)

680 cm2

b)

278 cm2

c)

556 cm2

d)

340 cm2

69.

What is the surface area of the triangular prism?

a)

468 in2

b)

540 in2

c)

576 in2

d)

495 in2

70.

Find the surface area of the rectangular prism.

a)

108 in²

b)

144 in²

c)

110 in²

d)

145 in²

71.

Find the surface area of the regular pyramid.

a)

20 m2

b)

16 m2

c)

24 m2

d)

12 m2

72.
Find the volume of the figure. Round to the nearest tenth.
a)
128.6 units³
b)
1,286.1 units³
c)
401.9 units³
d)
5,144.6 units³
73.

What is the Volume of the sphere?

a)

4842.24 m3

b)

164636.21 m3

c)

20579.53 m3

d)

1210.56 m3

74.

What is the surface area of Cone.

a)

857.18 km2

b)

1714.36 km2

c)

1285.77 km2

d)

428.59 km2

75.

What is the range?

a)

The sum of the largest and smallest number

b)

The number in the middle

c)

The difference between the largest and smallest number

d)

The number that appears most often

76.

Calculate the mean, median, mode and range for the following employee salaries of 10 employees. Write these answers down, you will need them for another question!!

$28,000 $25,000 $31,000 $26,000 $26,000

$64,000 $24,000 $27,000 $81,000 $29,000

4 lines
77.

3, 4, 5, 5, 5, 6,7

The mode of these numbers is...

a)

5

b)

10

c)

4

d)

1

78.

Keely has been keeping track of her math test scores this year. What will Keely’s mean grade be in math?

a)

84.6%

b)

86.1%

c)

92.5%

d)

95.7%

79.

Mike paid $68 for 4 pizzas.  How much did he pay per pizza?   

(a)  

80.

In 3 days, the temperature dropped 27 degrees.  How many degrees per day did the temperature drop?  

(a)  

81.
Express the ratio as a fraction in simplest form:
18 ounces to 3 cups
a)
6 to 1
b)
1/6
c)
18/3
d)
3/18
82.
The car travels 440 miles in 8 hours. What is the unit rate?
a)
12 miles in 1 hour
b)
55 miles in 1 hour
c)
110 miles in 1 hour
d)
44 miles in 1 hour
83.
Alycia earned $20.40 in 3 hours. What is her unit rate in dollars per hour?
a)
$7 per hour
b)
$6 per hour
c)
$6.80 per hour
d)
$17.40 per hour
84.

Caiden earned $475 from mowing lawns last summer. He deposited this money in an account that pays a simple interest rate of 3.8%. What will be the amount of interest earned after 15 years?

a)

$3182.50

b)

$270.75

c)

$2707.50

d)

$745.75

85.

Emily’s parents put $1500 in her bank account for college tuition at a simple interest rate of 8.25%. What will be the balance after 18 years?

a)

$22,275

b)

$2227.50

c)

$12,375

d)

$3727.50

86.

A store has a 40% off sale on headphones. With this discount, the price of one pair of headphones is $45.

What is the original price of the pair of headphones?

87.

Kamden just finished a great meal at a Raising Canes restaurant in Texas. The sales tax in Texas is 8.25%, and it is customary to leave a tip of 20 % for the server. The tip amount is calculated on the price of the meal before the tax is applied.

(Sales tax is not calculated on tips.)

If Kamden ordered a $15 meal, how much money will he have to pay with tax and tip?

88.

Victor earns a base salary of $200 every week with an additional 14% commission on everything he sells. Victor sold $7,000 worth of items last week.

What was Victor's total pay last week before taxes are taken out?

89.

A new book costs $19.99. The book is on sale for 20% off. The sales tax is 8.25%.

What is the total cost of the book after the discount and sales tax are applied to the nearest cent?

90.

What does "m" represent in y=mx+b?

(a)  

91.

What is the slope in the equation:  y=4x+3

(a)  

92.

What is the y-intercept in the following equation:  y=-4x-5

(a)  

93.

What is the slope of the line represented by  6x−5y=126x-5y=12  

a)

 −65-\frac{6}{5}  

b)

 56\frac{5}{6}  

c)

 65\frac{6}{5}  

d)

 −56-\frac{5}{6}  

94.

What is the slope of the graph of  y=16x−7y=16x-7  

a)

 −7-7 

b)

 −167-\frac{16}{7}  

c)

 716\frac{7}{16}  

d)

 1616 

95.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
96.
Find the measure of each angle indicated. 
a)
139°
b)
66°
c)
138°
d)
116°
97.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
98.
An angle whose measure is exactly 90 degrees.
a)
acute
b)
vertical
c)
right
d)
straight
99.
Solve for x.
a)
16
b)
11
c)
50
d)
6
100.
In a triangle, how many total degrees are there?
a)
100%
b)
180 degrees
c)
it varies
d)
360 degrees
101.
If two of the angles of a triangle are 30 and 70 degrees, the third angle measures...
a)
80
b)
100
c)
60
d)
90
102.

A regular 6-sided die is to be rolled one time. What is the probability that the number 5 is rolled?

a)

15\frac{1}{5}

b)

56\frac{5}{6}

c)

16\frac{1}{6}

d)

65\frac{6}{5}

103.

If you flip a coin, what is the probability that it will land on heads?

a)

1/4

b)

1/8

c)

1/2

d)

1/3

104.

Daniel owns 12 T-shirts, 7 of which are white.

If Daniel randomly selects a T-shirt to wear, what is the probability it will be white?

a)

712\frac{7}{12}

b)

50−5050-50

c)

12\frac{1}{2}

d)

127\frac{12}{7}

105.

A clothing store sells a t-shirt in 9 different colors, 4 different sizes, and it can be either long-sleeved or short-sleeved. How many different t-shirts can be made at this store?

a)

13

b)

15

c)

36

d)

72

106.
A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3? 
a)
1/12
b)
1/4
c)
1/8
d)
1/2
107.

What type of correlation does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

108.

What type of correlation does this graph have?

a)

Negative

b)

no association

c)

positive

109.

Which relationship could be represented by this scatter plot?

a)

As the number of muffins in a box increases, the price increases.

b)

As the speed of a car increases, the distance the car travels increases.

c)

As the population of a city increases, the number of schools in the

city increases.

d)

As the number of daylight hours increases, the number of night hours decreases.

110.
What type of correlation does this scatter plot show?
a)
positive linear association
b)
negative linear association
c)
no association
d)
nonlinear association