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Foundations Unit 1 Test Review

Total questions: 123

Worksheet time: 10hrs 15mins

Name
Class
Date
1.
-9 + (-5)
a)
-14
b)
14
c)
-4
2.
What do you do when you are adding integers with different signs? 
a)
(-) and keep sign of smaller number
b)
(-) and keep sign of larger number
c)
(+) and keep sign of smaller number number
d)
(+) and keep sign of larger number 
3.
When you add integers with the same sign, what do you do? 
a)

(+) and keep the sign

b)

(-) and keep the sign of the larger

c)
(x) and keep the sign
d)

(-) and keep the sign of the smaller

4.

12 + (-2)

a)

-10

b)

-14

c)

14

d)

10

5.
-10 + 10
a)
20
b)
0
c)
-20
d)
1,000,000
6.

8 - 10

a)

-2

b)

2

c)

18

d)

-18

7.

-35 - (-10)

a)

-25

b)

25

c)

45

d)

-45

8.

15 - 10 =

a)

25

b)

5

c)

-5

d)

-25

9.

-15 + 8

a)

-7

b)

-6

c)

-5

d)

-8

10.

10 - (-7) =

a)

3

b)

7

c)

17

d)

-17

11.
0 - 16
a)
16
b)
0
c)
-16
d)
5
12.
-9 + 9
a)
18
b)
-18
c)
0
d)
81
13.
5 - (-12)
a)
-7
b)
7
c)
17
d)
-17
14.
(-4) + 8 =
a)
12
b)
4
c)
-4
d)
-12
15.
If you are adding 2 negative numbers, will your answer be positive or negative?
a)
negative
b)
positive
16.

-24+11=

a)

-35

b)

-13

c)

35

d)

13

17.

54-6=

(a)  

18.

what is -22+10?

(a)  

19.

what is -33+23?

(a)  

20.
Divide these fractions. Simplify!!!
9/4 ÷ 1/6
a)
8 / 2
b)
27 / 2
c)
9 / 2
d)
9 / 24
21.
Multiply these fractions. Simplify! 
4/9 x 6/2
a)
4/ 3
b)
2 / 7
c)
24 / 18
d)
2 / 1.6
22.
a)
6      7/10
b)
3/10
c)
-2   7/10
d)
2    7/10
23.
What is the product of these fractions in lowest terms?
a)
20/50
b)
10/25
c)
2/5
d)
9/15
24.
a)
1/40
b)
5  1/8
c)
6  3/8
d)
5/8
25.
Divide these fractions. Simplify!!!
9/4 ÷ 1/6
a)
8 / 2
b)
27 / 2
c)
9 / 2
d)
9 / 24
26.

(64−62)−(2+5)\left(64-6^2\right)-\left(2+5\right)  

a)

21

b)

84

c)

37

d)

17

27.

24+(7−3)2+6⋅82^4+\left(7-3\right)^2+6\cdot8  

a)

80

b)

135

c)

64

d)

26

28.

3+2⋅52−93+2\cdot5^2-9  

a)

44

b)

9

c)

32

d)

16

29.

(13−3)2+(20−4)\left(13-3\right)^2+\left(20-4\right)  

a)

116

b)

82

c)

73

d)

64

30.
4⋅7 - 62 + 3
a)
-5
b)
19
c)
487
d)
7
31.

(-7) x (-7)

a)

14

b)

-14

c)

49

d)

-49

32.
If I have a negative multiplied with a positive, what will the answer be?
a)
Positive 
b)
Negative 
33.
If I have two negatives what will the product be?
a)
Negative 
b)
Positive 
34.
If I have a positive multiplied with a positive, what will the answer be?
a)
Positive 
b)
Negative 
35.
-3(-4)
a)
-12
b)
7 
c)
-7
d)
12
36.
-20/5=
a)
-4
b)
4
c)
-100
d)
100
37.
-18 ÷ (-2)
a)
9
b)
-9
c)
-20
d)
10
38.
(-2)(-4)(-3)
a)
24
b)
-24
c)
8
d)
-21
39.

Write the percent as a decimal 52%

a)

5.2

b)

0.52

c)

0.052

d)

52.0

40.

Write the percent as a decimal 7%

a)

0.70

b)

7.0

c)

0.07

d)

0.7

41.

What is 1/4 as a decimal?

a)

0.5

b)

0.75

c)

1.4

d)

0.25

42.

What is 1/2 as a percent?

a)

1.2%

b)

50%

c)

25%

d)

75%

43.

0.81% written as a decimal is...

a)

81

b)

0.81

c)

0.081

d)

0.0081

44.

What is 0.75 as a fraction?

a)

3/4

b)

7/5

c)

1/4

d)

1/2

45.

14+23\frac{1}{4}+\frac{2}{3}  

a)

37\frac{3}{7}  

b)

312\frac{3}{12}  

c)

1112\frac{11}{12}  

d)

1124\frac{11}{24}  

46.

35−12\frac{3}{5}-\frac{1}{2}  

a)

110\frac{1}{10}  

b)

23\frac{2}{3}  

c)

210\frac{2}{10}  

d)

13\frac{1}{3}  

47.

811+25\frac{8}{11}+\frac{2}{5}  

a)

1016\frac{10}{16}  

b)

58\frac{5}{8}  

c)

1055\frac{10}{55}  

d)

17551\frac{7}{55}  

48.

910−34\frac{9}{10}-\frac{3}{4}  

a)

66\frac{6}{6}  

b)

320\frac{3}{20}  

c)

1240\frac{12}{40}  

d)

310\frac{3}{10}  

49.

112 +341\frac{1}{2}\ +\frac{3}{4}  

a)

3

b)

2142\frac{1}{4}  

c)

1461\frac{4}{6}  

d)

1231\frac{2}{3}  

50.

314−253\frac{1}{4}-\frac{2}{5}  

a)

3393\frac{3}{9}  

b)

2

c)

313203\frac{13}{20}  

d)

217202\frac{17}{20}  

51.

512+ 2135\frac{1}{2}+\ 2\frac{1}{3}  

a)

7257\frac{2}{5}  

b)

7567\frac{5}{6}  

c)

7267\frac{2}{6}  

d)

3163\frac{1}{6}  

52.

429− 1254\frac{2}{9}-\ 1\frac{2}{5}  

a)

3

b)

3143\frac{1}{4}  

c)

2352\frac{3}{5}  

d)

237452\frac{37}{45}  

53.

2910 +6 13=2\frac{9}{10}\ +6\ \frac{1}{3}=  

a)

9 7309\ \frac{7}{30}  

b)

5 495\ \frac{4}{9}  

c)

6 146\ \frac{1}{4}

d)

4 124\ \frac{1}{2}  

54.

Convert the mixed number to an improper fraction.

a)

31/7

b)

27/7

c)

21/7

d)

41/7

55.
a)
14/16
b)
7/8
c)
8/7
d)
4/10
56.

6 24 −2 25=6\ \frac{2}{4\ }-2\ \frac{2}{5}=  
Reduce if needed.

a)

5 275\ \frac{2}{7}  

b)

4 2204\ \frac{2}{20}  

c)

6 126\ \frac{1}{2}  

d)

4 1104\ \frac{1}{10}  

57.


6 25−1 456\ \frac{2}{5}-1\ \frac{4}{5}  

a)

5 255\ \frac{2}{5}  

b)

4 354\ \frac{3}{5}  

c)

5 455\ \frac{4}{5}  

d)

4 254\ \frac{2}{5}  

58.

5 − 1 185\ -\ 1\ \frac{1}{8}  

a)

4 134\ \frac{1}{3}  

b)

2 132\ \frac{1}{3}  

c)

3 783\ \frac{7}{8}  

d)

6 786\ \frac{7}{8}  

59.

Add

a)

9 5/8

b)

9 4/15

c)

10 2/15

d)

9 7/15

e)

10 3/15

60.

Subtact

a)

4 2/15

b)

4 4/15

c)

7 7/15

d)

4 11/15

61.

2910 +6 13=2\frac{9}{10}\ +6\ \frac{1}{3}=  

a)

9 7309\ \frac{7}{30}  

b)

5 495\ \frac{4}{9}  

c)

6 146\ \frac{1}{4}

d)

4 124\ \frac{1}{2}  

62.

11 58+3 58 11\ \frac{5}{8}+3\ \frac{5}{8}\  

a)

15 1815\ \frac{1}{8}  

b)

15 1415\ \frac{1}{4}  

c)

14 1814\ \frac{1}{8}  

d)

16 1416\ \frac{1}{4}  

63.

What is the definition of absolute value?

a)

The distance a number is to zero

b)

A positive number

c)

A number that has a value with a different sign

64.

Evaluate: |-12|

a)

12

b)

-12

c)

0

d)

1.2

65.

Evaluate: |0|

a)

0

b)

-0

c)

+0

d)

There is no answer

66.

What is |50|?

(a)  

67.

What is |-8|?

(a)  

68.

Find the absolute value of -17.

∣−17∣\left|-17\right|  

a)

∣17∣\left|17\right|  

b)

-17

c)

17

69.

Find the absolute value of -808.

∣−808∣\left|-808\right|  

a)

808

b)

∣808∣\left|808\right|  

c)

-808

70.

Find the absolute value of 4.

∣4∣\left|4\right|  

a)

-4

b)

∣−4∣\left|-4\right|  

c)

4

71.

Find the absolute value of  ∣−32∣\left|-\frac{3}{2}\right|  

a)

−32-\frac{3}{2}  

b)

32\frac{3}{2}  

c)

∣32∣\left|\frac{3}{2}\right|  

72.

Jasmine walked half a mile to school. After school, she walked 13\frac{1}{3} mile to her aunt's house.  Afterwards, she walked  56\frac{5}{6}  mile home.  If Jasmine walks the same path every day, Monday through Friday, how many miles does she walk in one week?

a)

1231\frac{2}{3}  miles

b)

35113\frac{5}{11}  miles

c)

5565\frac{5}{6}  miles

d)

8138\frac{1}{3}  miles

e)

8238\frac{2}{3}  miles

73.

 Liz ran of a 23\frac{2}{3}  mile, Freddy ran 13\frac{1}{3}  of a mile, Isabella ran 1131\frac{1}{3}  miles. How many miles did they run in all?

a)

2 miles

b)

1 131\ \frac{1}{3}  miles

c)

2 132\ \frac{1}{3}  miles

d)

1 231\ \frac{2}{3}  miles

74.

Tim uses 4124\frac{1}{2}  cups of oranges, 3123\frac{1}{2}  cups of apples, and 5125\frac{1}{2}  cups of pears in a fruit salad. How many cups of fruit did he use altogether?

a)

121212\frac{1}{2}  cups

b)

131213\frac{1}{2}  cups

c)

141214\frac{1}{2}  cups

d)

101210\frac{1}{2}  cups

75.

Joan and Mindy collect sea shells. Joan's bucket of shells weighed two and two-thirds pounds, and Mindy's bucket was three and one-fourth pounds. How much more does Mindy's bucket weigh than Joan's?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

76.
A 21-foot long rope is cut into 3/8-foot pieces. Which expression finds the number of pieces?
a)
21 ÷ 3/8
b)
21 × 3/8
c)
3/8 ÷ 21
d)
21 − 3/8
77.
There are 12 yards of fabric. Each pillow uses 2/3 yard. How many pillows can be made?
a)
8 pillows
b)
12 pillows
c)
18 pillows
78.
Bradley had 1/2 of a pizza pie left over from a party. The next day he ate 3/5 of his leftovers. How much pizza did he eat the next day?
a)
4/7
b)
3/10
c)
4/5
d)
3/7
79.
Evaluate 4y  if       y = 3
a)
7
b)
12
80.
Evaluate 2a + 4b 
if a = 10     and    b = 6
a)
20
b)
24
c)
44
d)
4
81.
b2 + 4
when b = 3
a)
10
b)
12
c)
13
d)
11
82.
Evaluate the expression.   Let g = 3    h = 9 
4h + 2g + 4
a)
42
b)
46
c)
34
d)
58
83.
evaluate bc + 5a  
when  a = 3, b = 4, and c = -6
a)
9
b)
38
c)
-38
d)
-9
84.

Evaluate 3d if d = 5

a)

3

b)

5

c)

12

d)

15

85.

Evaluate m2 if m = 7

a)

9

b)

14

c)

49

d)

51

86.
Which is equivalent to 4 x 4 x 4 x 4 x 4
a)
46
b)
54
c)
44
d)
45
87.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
88.
Which number is the BASE?
23 = 8
a)
2
b)
3
c)
8
d)
not here
89.
Which number is the EXPONENT?
42 = 16
a)
4
b)
2
c)
16
d)
not here
90.
7-2
a)
49
b)
10/49
c)
-49
d)
1/49
91.
Solve 5-2
a)
-10
b)
1/25
c)
1/(5)2
d)
-1/10
92.
What is 100 equivalent to?
a)
1
b)
10
c)
0
d)
100
93.

What is 16 squared?

a)

8

b)

256

c)

4

d)

32

94.

16=?\sqrt{16}=?  

a)

8

b)

2

c)

4

d)

32

95.

92=189^2=18  True or false?

a)

True

b)

False

96.

383_{\sqrt{8}}    (cube root of 8) 

a)

2

b)

±2\pm2  

c)

-2

d)

None of the above 

97.

−62-6^2  = ? 

a)

36

b)

-36

c)

12

d)

-12

98.

(−6)2\left(-6\right)^2  = ?

a)

12

b)

-12

c)

-36

d)

36

99.

(1681)  = ?\sqrt{\left(\frac{16}{81}\right)}\ \ =\ ?  

a)

827\frac{8}{27}  

b)

89\frac{8}{9}  

c)

49\frac{4}{9}  

d)

43\frac{4}{3}  

100.
√40 is between
a)
8 and 9
b)
7 and 8
c)
5 and 6
d)
6 and 7
101.

232^3  

a)

5

b)

6

c)

7

d)

8

102.

3433\sqrt[3]{343}  

a)

4

b)

5

c)

6

d)

7

103.

10003\sqrt[3]{1000}  

a)

10

b)

100

c)

1000

d)

10000

104.
Write 0.000972 in scientific notation.
a)
9.72 x 10-4
b)
9.72 x 10-3
c)
972 x 10-4
d)
9.72 x 104
105.
Write 2.08 x 102  in standard form.
a)
208
b)
0.0208
c)
20,800
d)
0.208
106.
How would you write 50,000 in scientific notation?
a)
50 x 105
b)
5 x 104
c)
5 x 103
d)
.5 x 103
107.
How do you write
8.317 x 106
in standard form?
a)
8, 371, 000
b)
83, 170, 000
c)
837, 100
d)
8, 317, 000
108.
Light travels at a rate of 186,000 miles per second.  Write this number in scientific notation.
a)
1.86 x 105
b)
1.86 x 104
c)
18.6 x 104
d)
186 x 103
109.
The closest galaxy to our own is over 2,500,000 light years away.  Write this number is scientific notation.
a)
2.5 x 107
b)
.25 x 107
c)
25 x 105
d)
2.5 x 106
110.
Write 46.3 x 104 in scientific notation.
a)
It is in scientific notation.
b)
.463 x 106
c)
4.63 x 105
d)
4.63 x 104
111.

25\sqrt{25}  

a)

irrational

b)

rational

c)

integer

d)

whole number

e)

natural number

112.

153\frac{15}{3}  

a)

irrational

b)

rational

c)

integer

d)

whole number

e)

natural number

113.

00  

a)

irrational

b)

rational

c)

integer

d)

whole number

e)

natural number

114.

Repeating decimals are _____ numbers.

a)

irrational

b)

rational

115.

-1.4 is not included in the set of ______ because it has a decimal (or fractional) part.

a)

rational numbers

b)

integers

c)

real numbers

116.

π\pi  

a)

Rational

b)

Irrational

117.

Irrational numbers...

a)

are non-repeating

b)

are non-terminating and non-repeating decimals

c)

can sometimes be perfect squares

d)

are non-terminating

118.

Identify the Property:

10+0 = 10

a)

Inverse Property

b)

Commutative Property

c)

Associative Property

d)

Identity Property

119.

Identify the Property:

6 + (21+3) = (6+21) +3

a)

Commutative Property

b)

Distributive Property

c)

Inverse Property

d)

Associative Property

120.

1 + (7+2) = 2 + (7 +1)

a)

Identity Property

b)

Associative Property

c)

Commutative Property

d)

Distributive Property

121.

Associative Property

a)

0 + 11 = 11

11 + 0 = 11

b)

5 + 6 + 3 = 3 + 5 + 6

c)

(5+3)+ 6= (6+3)+5

d)

11-2=7+2

122.
 16 • 4 = 4 • 16
a)
Zero Property
b)

Commutative Property

c)

Identity Property

d)
Distributive Property
123.
Which property is used in the following?
7 x (8 + 2)=7 x 8 + 7 x 2
a)
Associative Property
b)
Commutative Property
c)
Distributive Property
d)
None of the above