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MidTerm Review: Chapters 1 - 3

Total questions: 70

Worksheet time: 1hrs 29mins

Name
Class
Date
1.

Bob packed twenty grapes and a pear in his lunch. He ate thirteen grapes and the pear. What fraction of the grapes did Bob eat?

a)

1320\frac{13}{20}

b)

1420\frac{14}{20}

c)

14.21

d)

720\frac{7}{20}

2.

Maria and Darcy are in the same math class. Maria has completed 2/3 of her math homework. Darcy has completed 5/6 of her math homework. Which girl has completed more of her math homework?

(a)  

3.

If Cafe Mocha charges $1.34 per cup of coffee, what did they earn in the month of March? Enter your answer without the $ sign

4.

How many more cups of coffee did Cafe Mocha sell in January than in March?

5.

Simplify the expression  3x2+6x29x10+2x3x^2+6x^2-9x-10+2x  

a)

 8x-8x  

b)

 9x219x+29x^2-19x+2  

c)

 104x-10-4x  

d)

 9x27x109x^2-7x-10  

6.

Bob started with a certain amount of money. First, he donated $40 to charity. Then, his money doubled. Finally, a third of his money was stolen. Now, he has $30. How much money did he begin with? (hint: write an equation)

a)

$65

b)

$75

c)

$85

d)

$95

7.

Write a numerical expression for the total money spent:

Sarah bought 4 masks, each was 5 dollars.

a)

4 + 5

b)

20

c)

4×54\times5

d)

9

8.

When a letter represents a number it is called what?

a)

Algebra

b)

a variable

c)

A numerical expression

d)

An algebraic expression

9.

If a = 20 and b = 4, evaluate 5a

10.

Evaluate

36  126  2\frac{36\ -\ 12}{6\ -\ 2}  

11.

Evaluate

18+(62)×218+\left(6-2\right)\times2  

12.

Evaluate and Solve

7(4+1)7×27\cdot\left(4+1\right)-7\times2  

a)

22

b)

24

c)

56

d)

21

13.
5 times a number, minus 8  
a)


5m85m-8

b)

5(m  8)5\left(m\ -\ 8\right)

c)

85m8-5m

d)

(m8)5\left(m-8\right)5

14.

 270=027\cdot0=0  

a)

Multiplicative Identity Property

b)

Multiplicative Property of Zero

c)

Multiplicative Inverse Property

d)

Multiplicative Substitution Property

15.

 (8+9)+10=8+(9+10)\left(8+9\right)+10=8+\left(9+10\right)  

a)

Associative Property of Multiplication

b)

Commutative Property of Multiplication

c)

Commutative Property of Addition

d)

Associative Property of Addition

16.

 16+0=1616+0=16  

a)

Association Property of Addition

b)

Additive Identity Property

c)

Additive Inverse Property

d)

Substitution Property

17.
A set of two real numbers that locate a point on a plane is called __________________.
a)
Origin
b)
Coordinate Plane
c)
Ordered Pair
d)
Graph
18.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
19.
What is the domain of the following graph?
a)
D: {-5, -1,  0 , 1, 5}
b)
D: {-4, -2, 0, 3, 6}
20.

What is the range of the following graph?

a)

R: {-5, -1, 0 , 1, 5}

b)

R: {-4, -2, 0, 3, 6}

21.
In which quadrant is the following point?
(-3, 12)
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
22.

Evaluate: 242-4

23.

Evauate:
5(3)-5-\left(-3\right)

24.

Evaluate:
18 + (6)-18\ +\ \left(-6\right)

25.

Evaluate:
(4)(5)\left(-4\right)\left(-5\right)

26.

Evaluate:
3(8)3-\left(-8\right)

27.

Simplify:

328-\frac{32}{8}  

28.
The temperature changed from 3 degrees below zero at midnight to 7 degrees below zero at 2 a.m. How much did the temperature decrease?
a)
5 degrees
b)
4 degrees
c)
10 degrees
d)
it stayed the same
29.
The high temperature Monday was 4 degrees. The low temperature was -7 degrees. What is the difference between the high and low temperatures?
a)
3 degrees
b)
12 degrees
c)
11 degrees
d)
10 degrees
30.
Which set of integers is written in order from GREATEST to LEAST?
a)
-3, -9, -6
b)
-3, 2, 5
c)
2, -1, -3
d)
4, 10, 12
31.
Compare the two numbers by selecting the correct symbol
-19 __ -9
a)
<
b)
>
c)
=
32.
Choose the inequality symbol that makes the sentence true.
| -3 | ____ | 8 |
a)
<
b)
>
c)
=
33.
Which is the least integer?
a)
1
b)
-1
c)
-2
d)
-8
34.
Which answer has the integers in order from least to greatest?
a)
− 9,   -5,  -3, 0,  4,  3
b)
− 9,   -5,  -3, 0,  3,  4
c)
− 5,   -9,  -3, 0,  4,  3
d)
 3, 4, 0, -3, -5, -9
35.

Compare:

(8)-\left(-8\right) ____ 33

a)

<

b)

>

36.

Compare:

39-\left|39\right| ____ 1-\left|-1\right|

a)

<

b)

>

37.

What is the opposite of -9?

a)

9

b)

19\frac{1}{9}

c)

0

d)

-9

38.

Find the Absolute Value of -18

39.

Evaluate the expression.

|–5| + 8

(a)  

40.

Evaluate the expression:


5|–1 + 4|

a)

25

b)

15

c)

–15

d)

–25

41.

Evaluate the expression.

|–5 + 1|

(a)  

42.

Evaluate the expression.

|-2| + |-5|

(a)  

43.
Which of the following is the LEAST?
a)
|-2|
b)
|-4|
c)
|3|
d)
|-5|
44.
Which of the following is the GREATEST?
a)
|-2|
b)
|-4|
c)
|3|
d)
|-5|
45.

A combination of numbers and operations such as addition, subtraction, multiplication and division; does NOT contain an equals sign.

a)

Evaluate

b)

Algebra

c)

Numerical Expression

d)

Equation

46.

A letter or symbol used to represent an unknown value

a)

Algebra

b)

Variable

c)

Simplify

d)

Evaluate

47.

An expression that contains at least one variable and at least one mathematical operation.

a)

Algebra

b)

Algebraic Expression

c)

Numerical Expression

d)

Evaluate

48.

Organizing information in an understandable way

a)

Make a table

b)

Look for a pattern

c)

Work backwards

d)

Common sense

49.

A number less than zero

a)

Integer

b)

Positive Number

c)

Opposites

d)

Negative Number

50.

The distance a number is from zero on the number line.

a)

Opposites

b)

Absolute Value

c)

Mean

d)

Quadrants

51.

The sum of data divided by the number of items in teh data set, also called the average.

a)

Algebra

b)

Mean

c)

Absolute Value

d)

Integers

52.

Find the mean of the numbers below:


4, 9, 7, 10, 5

53.

Find the mean of the numbers below:


1, 8, 7, 5, 6, 4, 7, 6

a)

5

b)

5.5

c)

6

d)

6.5

54.

The mean of four numbers is 10.

Three of the numbers are 9, 11 and 7.

Work out the fourth number.

a)

9

b)

13

c)

11

d)

15

55.

What is the approximate mean of the data? 45, 55, 60, 48, 57, 52, 49

a)

50

b)

55

c)

52.3

d)

there is no such thing as a decimal.

56.

Write 310\frac{3}{10} as a decimal.

57.

Write 56-\frac{5}{6} as a decimal

a)

0.56-0.56

b)

0.83-0.83

c)

0.83-0.8\overline{3}

d)

0.830.8\overline{3}

58.

Compare:

4.374.\overline{37} ____ 419504\frac{19}{50}

a)

<

b)

>

c)

=

59.

Write 0.45-0.45 as a fraction in simplest form.

60.

Write 0.10.\overline{1} as a fraction in lowest terms

61.

Identify ALL the sets to which the number -3 belongs.

Mark all that apply.

a)

Real

b)

Rational

c)

Irrational

d)

Integer

e)

Whole

62.

Identify all the sets to which the number 2\sqrt[]{2} belongs

a)

Real

b)

Rational

c)

Irrational

d)

Integer

e)

Whole

63.

Evaluate and write in simplest form:

1534\frac{1}{5}\cdot\frac{3}{4}

64.

Evaluate and write in simplest form:

312(515)-3\frac{1}{2}\cdot\left(-5\frac{1}{5}\right)

65.

Find the quotient. Type your answer in simplest form as a mixed number:

79÷(415)\frac{7}{9}\div\left(-\frac{4}{15}\right)

66.

Simplify:

3ab2÷7b10\frac{3ab}{2}\div\frac{7b}{10}

67.

Add. Type your answer in simplest form:

37(27)\frac{3}{7}-\left(-\frac{2}{7}\right)

68.

Add. Write your answer in simplest form:

47+(113)\frac{4}{7}+\left(-1\frac{1}{3}\right)

69.

Solve. Type your answer in simplest form.

59323-\frac{5}{9}-3\frac{2}{3}

70.

Dane and his family drove 357.9 miles in one day. If their trip is a total of 52434524\frac{3}{4} miles, how much farther do they have to drive?

a)

1661720166\frac{17}{20}

b)

166810166\frac{8}{10}

c)

4101320410\frac{13}{20}

d)

41035410\frac{3}{5}