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Worksheets

TM Unit 5 Review

Total questions: 88

Worksheet time: 2hrs 49mins

Name
Class
Date
1.

Simplify 13+4-13+4  .

(a)  

2.

Simplify 23.54+1-23.5--4+1  .

(a)  

3.

Simplify 220+(150)220+\left(-150\right)  .

(a)  

4.

Simplify ab+(a)a-b+\left(-a\right)  .

(a)  

5.

Simplify 18+538-\frac{1}{8}+5\frac{3}{8}  .

(a)  

6.

Simplify a17b17+c17\frac{a}{17}-\frac{b}{17}+\frac{c}{17}  .

(a)  

7.

Simplify 503b+313b\frac{50}{3b}+-\frac{31}{3b}  .

(a)  

8.

Simplify 0.531.79+0.2030.53-1.79+-0.203  .

(a)  

9.

Calculate 162\left|-162\right|  

(a)  

10.

Calculate 4+7+4+7\left|4+-7\right|+\left|-4\right|+\left|7\right|  

(a)  

11.

Calculate 1+0+52\left|-1\right|+\left|0\right|+\left|\frac{5}{2}\right|  

(a)  

12.

Calculate 1120-\left|-11-20\right|  

(a)  

13.

Simplify 12+1613\frac{1}{2}+\frac{1}{6}-\frac{1}{3}  .

(a)  

14.

Calculate 2a+aa\left|2-a\right|+\left|a-a\right|  when a=5a=5  .

(a)  

15.

Calculate xy\left|x-y\right|  when x=99x=99  and y=99y=-99  .

(a)  

16.

Solve b+4.2=6.1b+4.2=6.1  .

(a)  

17.

Solve 45+e=2\frac{4}{5}+e=-2   .

(a)  

18.

Solve 11(j)=5.8-11-\left(-j\right)=-5.8   .

(a)  

19.

Solve 2+(a9)=02+\left(a-9\right)=0   .

(a)  

20.

Solve 156=m+161\frac{5}{6}=m+\frac{1}{6}   .

(a)  

21.

Solve q+51.9=8.1q+51.9=\left|-8.1\right|   .

(a)  

22.

Solve 9>x+1513-9>x+15\frac{1}{3}  .

Make sure to give all the possible solutions as your answer.

(a)  

23.

Solve x+(44)>71x+-\left(-44\right)>71  .

Make sure to give all the possible solutions as your answer.

(a)  

24.

Solve 187+p>177\frac{18}{7}+p>\frac{17}{7}  .

Make sure to give all the possible solutions as your answer.

(a)  

25.

Draw a triangle with side lengths of 4.5 cm, 3.8 cm, and 2.9 cm.

26.

Draw a triangle with two side lengths of 2.25 inches.

27.

Simplify 81+3+0-81+3+0  .

(a)  

28.

Simplify q+(q)+(q)q+\left(-q\right)+-\left(-q\right)  .

(a)  

29.

Simplify (0+49)-\left(0+-\frac{4}{9}\right)  .

(a)  

30.

Simplify 1((24))1-\left(-\left(-24\right)\right)  .

(a)  

31.

Simplify 990(901)99-0-\left(90-1\right)  .

(a)  

32.

Simplify tu+7+ut-u+7+u  .

(a)  

33.

Simplify (55+20)+(55+20)\left(55+-20\right)+\left(-55+20\right)  .

(a)  

34.

When d=20.1d=-20.1 , find the value of d+35-d+35 .

(a)  

35.

When w=1129w=\frac{11}{29} , find the value of w+w-w+w .

(a)  

36.

What property of addition is being used in the following equation?

99.61+523.45=523.45+99.6199.61+523.45=523.45+99.61  

a)

Commutative Property of Addition

b)

Associative Property of Addition

c)

Addition Property of Equality

37.

What property of addition is being used in the following statement?

If a+8>12a+8>12 , then 8+a>128+a>12 .

a)

Commutative Property of Addition

b)

Associative Property of Addition

c)

Addition Property of Equality

38.

What property of addition is being used in the following equation?

82 58+(61+(7+2.031))=(82 58+61)+(7+2.031)82\ \frac{5}{8}+\left(61+\left(7+2.031\right)\right)=\left(82\ \frac{5}{8}+61\right)+\left(7+2.031\right)  

a)

Commutative Property of Addition

b)

Associative Property of Addition

c)

Addition Property of Equality

39.

What property of addition is being used in the following statement?

Since 45%=92045\%=\frac{9}{20}  , it is also true that 45%+12=920+1245\%+\frac{1}{2}=\frac{9}{20}+\frac{1}{2}

a)

Commutative Property of Addition

b)

Associative Property of Addition

c)

Addition Property of Equality

40.

What property of addition is being used in the following equation?

(k+3)+4=k+(3+4)\left(k+3\right)+-4=k+\left(3+-4\right)  

a)

Commutative Property of Addition

b)

Associative Property of Addition

c)

Addition Property of Equality

41.

What property of addition is being used in the following statement?

If v=83v=83 and c is an integer, then v+c=83+cv+c=83+c .  

a)

Commutative Property of Addition

b)

Associative Property of Addition

c)

Addition Property of Equality

42.

Percy ate 5 pretzels at lunch, 3 for an afternoon snack, and 1 more before dinner. Altogether, he ate p pretzels. What equation relates these quantities?

(a)  

43.

Frank rode his bicycle x miles to work, while Sheila rode her bicycle y miles to the store. Together they rode 13 miles. What equation relates these distances?

(a)  

44.

Nikki spent c dollars on chips, s dollars on salsa, and L dollars on lemonade. In total, she spent d dollars. What equation relates c, s, l, and d?

(a)  

45.

A hot-air balloon rose 250 feet into the air and then came down 40 feet. What addition problem gives the toatl change in the balloon's position?

(a)  

46.

A hot-air balloon rose 250 feet into the air and then came down 40 feet. What is the total change in the balloon's position?

(a)  

47.

The temperature was T degrees. It fell 13.5 degrees. What addition problem gives the new temperature?

(a)  

48.

The temperature was T degrees. It fell 13.5 degrees. What subtraction problem gives the new temperature?

(a)  

49.

Peggy's piggy bank had 119 pennies in it. After she took out p pennies, there were 82 left. What is p?

(a)  

50.

Sandy bought 5 tickets in a raffle, Clara bought 4 tickets, and Ben bought 7 tickets. In all, 60 raffle tickets were sold. If one ticket will be drawn randomly for the grand prize, what is the probability that one of these three people will win the drawing? Give your answer as a fraction in lowest terms.

(a)  

51.

Based on experience, Len estimates that there is a 14\frac{1}{4}  chance that his bus will be between 5 and 10 minutes late, and a 110\frac{1}{10}  chance that his bus will be more than 10 minutes late. What is the probability that his bus will be at least 5 minutes late? Give your answer as a fraction in lowest terms.

(a)  

52.

According to the newspaper, there is a 20% chance it will rain on Thursday. Let E be the event that it rains on Thursday.

Describe the event that is the complement of E.

(a)  

53.

According to the newspaper, there is a 20% chance it will rain on Thursday. Let E be the event that it rains on Thursday.

Find the probability that the complement of the event E occurs.

(a)  

54.

A bag of 136 letter tiles contains 12 A's, 15 E's, 9 I's, 9 O's, and 6 U's. What is the probability of drawing a consonant. Give your answer as a fraction in lowest terms.

(a)  

55.

Suppose a fair, 6-sided die is tossed once. What is the probability that the result is 2 or less? Give your answer as a fraction in lowest terms.

(a)  

56.

Suppose a fair, 6-sided die is tossed once. What is the probability that the result is 3 or greater? Give your answer as a fraction in lowest terms.

(a)  

57.

The temperature was -4 degrees Celsius at 6 a.m. and -6 degrees Celsius at 8 p.m. the same day. What was the change in temperature from 6 a.m. to 8 p.m.

(a)  

58.

If the area of the rectangle at the right is J and the area of each circle is Q, write an expression for the area of the non-shaded region within the rectangle.

(a)  

59.

On Tuesday, 14,539 people attended a hockey game. On Thursday, H people attended. How much larger was Tuesday's crowd?

(a)  

60.

A stock opened the day valued at $35.89 per share. This value fell $1.56 during the day and rose $0.31 the next day. What price resulted?

(a)  

61.

True or False? A triangle exists with side lengths 5 m, 4 m, and 1 m.

a)

True

b)

False

62.

If a triangle has 2 sides of length a, then its third side must be...

a)

Exactly a

b)

Less than a

c)

Greater than a

d)

Greater than 0 and less than 2a

63.

If Marisa lives 2.3 from Ceci and 18.5 miles from Steve, give a range for the possible distance that Ceci lives from Steve.

Use d as the variable in your answer and use double inequality signs (like <<) if you need to use a greater than equal to OR less than equal to sign.

(a)  

64.

When out on an adventure race, Justin and Molly ran 5 km from the starting point to a checkpoint in the same direction. They then biked 7.2 km in different directions. How far from the starting point could Justin and Molly be after their bike rides?

Use d as the variable in your answer and use double inequality signs (like <<) if you need to use a greater than equal to OR less than equal to sign.

(a)  

65.

Can the following lengths, 16 316, 14 916, 1 71616\ \frac{3}{16},\ 14\ \frac{9}{16},\ 1\ \frac{7}{16}  , be the side lengths of a triangle?

a)

Yes

b)

No

66.

Can 2.3 cm, 8.8 cm, and 6.7 cm be the side lengths of a triangle?

a)

Yes

b)

No

67.

Write one fact from the fact triangle.

For your test, you should be able to write 3-4 facts from a single fact triangle.

(a)  

68.

Draw a fact triangle for 3, 4, and 7.

69.

Draw a fact triangle for 0, j, and -j.

70.

Draw a fact triangle for -7, -11, and -4.

71.

Draw a fact triangle for -8, 25, and 17

72.

In the picture, all small angles at C have the same measure. Consider turns around point C.

What is the magnitude of the counterclockwise rotation from G to A?

(a)  

73.

In the picture, all small angles at C have the same measure. Consider turns around point C.

What is the magnitude of the counterclockwise rotation from H to B?

(a)  

74.

In the picture, all small angles at C have the same measure. Consider turns around point C.

Suppose you are at C facing I. You turn 235 degrees clockwise and then turn 10 degrees counterclockwise. What point will you then be facing?

(a)  

75.

In the picture, all small angles at C have the same measure. Consider turns around point C.

Suppose you are at C facing I. You turn 235 degrees clockwise and then turn 10 degrees counterclockwise. What is the resulting magnitude of your turns?

(a)  

76.

If you turn 40 degrees clockwise and then turn 70 degrees counterclockwise, what is the result?

(a)  

77.

Graph the addition -10+3 on the number line and give the sum.

78.

Graph the addition -9/4 + 21/4 on the number line and give the sum.

79.

Graph the subtraction 5.5-3.6 on the number line and give the difference.

80.

Graph the subtraction 48-(-52) on the number line and give the difference.

81.

Graph x+y=8.

82.

Graph x-y=1.

83.

Graph x+y=-6.

84.

Graph x-y=-3.5.

85.

Which equation is graphed in the picture?

a)

x+y=2

b)

x-y=10

c)

y=x

d)

y=-x-7

86.

Which equation is graphed in the picture?

a)

x+y=2

b)

x-y=10

c)

y=x

d)

y=-x-7

87.

Which equation is graphed in the picture?

a)

x+y=2

b)

x-y=10

c)

y=x

d)

y=-x-7

88.

Which equation is graphed in the picture?

a)

x+y=2

b)

x-y=10

c)

y=x

d)

y=-x-7