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Chapter 1 and 2 Review

Total questions: 133

Worksheet time: 4hrs 51mins

Name
Class
Date
1.

changing the grouping does not change the sum

a)

Associative Property of Addition

b)

Associative Property of Multiplication

c)

Commutative Property of Addition

d)

Commutative Property of Multiplication

2.

changing the order does not change the product

a)

Commutative Property of Addition

b)

Associative Property of Multiplication

c)

Commutative Property of Multiplication

d)

Associative Property of Addition

3.

changing the grouping does not change the product

a)

Associative Property of Multiplication

b)

Commutative Property of Multiplication

c)

Commutative Property of Addition

d)

Associative Property of Addition

4.

sum of zero and any number is that number

a)

Identity Property of Multiplication

b)

Commutative Property of Multiplication

c)

Commutative Property of Addition

d)

Identity Property of Addition

5.

changing the order does not change the sum

a)

Associative Property of Addition

b)

Commutative Property of Addition

c)

Identity Property of Multiplication

d)

Commutative Property of Multiplication

6.

product of one and any number is that number

a)

Commutative Property of Addition

b)

Identity Property of Addition

c)

Commutative Property of Addition

d)

Identity Property of Multiplication

7.
Name the property showed by the following statement.
(3 x 3)5 = 5(3 x 3)
a)
Commutative Property
b)
Associative Property
c)
Distributive Property
d)
Multiplication Property of One (Identity)
8.
Name the property showed by the following statement.
4 x 5 = 5 x 4
a)
Commutative Property
b)
Associative Property
c)
Distributive Property
d)
Addition Property of Zero (Identity)
9.
Which property is this example?
5 x 6 = 6 x 5
a)
Commutative property of multiplication
b)
Associative Property of multiplication
c)
Distributive property of multiplication
d)
Identity property of multiplication
10.
Which property is this example?
100 + 0 = 100
a)
Commutative property of addition
b)
Associative Property of addition
c)
Distributive property of multiplication
d)
Identity property of addition
11.

Which property is this example?
9(8x7) = (9x8)7

a)

Commutative property of multiplication

b)

Associative Property of multiplication

c)

Distributive property of multiplication

d)

Identity property of multiplication

12.
Which property is this example?
10+4 = 4+10
a)
Commutative property of addition
b)
Associative Property of addition
c)
Distributive property of multiplication
d)
Identity property of addition
13.
Which property is this example?
(1+2)+3=1+(2+3)
a)
Commutative property of addition
b)
Associative Property of addition
c)
Distributive property of multiplication
d)
Identity property of addition
14.
Which property is this example?
12 x 1 = 12
a)
Commutative property of multiplication
b)
Associative Property of multiplication
c)
Distributive property of multiplication
d)
Identity property of multiplication
15.
Which property is this example?
56  x 1 = 56
a)
Commutative property of multiplication
b)
Associative Property of multiplication
c)
Distributive property of multiplication
d)
Identity property of multiplication
16.
Which is an example of the commutative property?
a)
3 + (4 + 5) = 12
b)
3 + 5 = 5 + 3
c)
3 + (4 + 5) = (3 + 4) + 5
d)
3 + 0 = 3
17.
Which is an example of the multiplicative identity?
a)
4+0=4
b)
4 x 2 = 2 x 4
c)
4 x 1 = 4
d)
4(3 + 5) = 4(3) + 4(5)
18.
True or False:
You MUST LINE UP DECIMALS when MULTIPLYING!
a)
True
b)
False
19.
Find the product of 0.96 and 0.12
a)
1.08
b)
0.84
c)
0.1152
d)
8
20.
True or False: 
The dividend is the number OUTSIDE of the house
a)
True
b)
False
21.
True or False:
You MUST LINE UP DECIMALS when ADDING and SUBTRACTING
a)
True
b)
False
22.
Find the product of 1.47 x 8
a)
1.176
b)
11.76
c)
117.6
d)
1176
23.
Find the difference: 3.4 - 0.972
a)
6.32
b)
4.372
c)
2.572
d)
2.428
24.
Find the sum of 9.27 and 15.006
a)
10.7706
b)
15.933
c)
24.276
d)
25.276
25.
Round to the nearest whole:
12.3428
a)
10
b)
12
c)
12.3
d)
12.34
26.
Round to the nearest hundredth:
142.4857
a)
100
b)
142.48
c)
142.49
d)
142.485
27.
Write in expanded form:
509.0305
a)
509.0305
b)
(5x100) + (9x1) + (3x0.01) + (5x0.0001)
c)
five hundred nine and three hundred five ten thousandths
28.
What is the following in word form?
6.007
a)
six and seven tenths
b)
six and seven hundredths
c)
six and seven thousandths
d)
six and seven ten thousandths
29.
Which place is the 2 in?
364.029
a)
ones
b)
tenths
c)
hundredths
d)
thousandths
30.
Use order of operations to simplify (solve)
(1 + 2) × (15 - 4)
a)
41
b)
33
c)
27
d)
22
31.
What come first according to order of operations?
8 ÷ 4 x 6 + (7 - 5)
a)
8 ÷ 4
b)
4 x 6
c)
6 + 7
d)
7 - 5
32.
True or False: 
The dividend is the number OUTSIDE of the house
a)
True
b)
False
33.
True or False:
Always turn the divisor into a whole number when dividing decimals.
a)
True
b)
False
34.
Find the quotient: 364.2 ÷ 12
a)
376.2
b)
352.2
c)
303.5
d)
30.35
35.
Find the quotient of 0.8 ÷ 1.6
a)
2
b)
0.5
c)
5
d)
0.05
36.
Find the quotient 2.25 ÷ 0.5
a)
45
b)
4.5
c)
0.45
d)
0.045
37.

When solving order operations what is the correct order

a)

PEDMSA

b)

PEMDAS

c)

PEMDSA

d)

PEDMAS

38.

When completing multiplication or division using order of operations

a)

solve left to right

b)

solve right to left

c)

multiply first

d)

divide first

39.

When completing addition or subtraction using order of operations

a)

solve right to left

b)

add first

c)

solve left to right

d)

subtract first

40.

the way of spelling out a number using words

a)

standard form

b)

expanded form

c)

written form

d)

word form

41.

regular way of writing a number

a)

standard form

b)

expanded form

c)

written form

d)

word form

42.

the way of writing a number as the sum of the product of a number and its value

a)

standard form

b)

expanded form

c)

written form

d)

word form

43.

When rounding, when the number to the right is 5 or more

a)

round up

b)

round down

c)

stay the same

d)

make it zero

44.

When rounding, when the number to the right is 4 or less

a)

round up

b)

add zero

c)

subtract 1

d)

keep the number the same

45.

When multiplying decimals use ________ in your product

a)

the sum of the decimals

b)

the first decimal

c)

the second decimal

d)

no decimal

46.

when dividing a decimal by a whole number

a)

divide as is

b)

bring up the decimal

c)

move the decimal

d)

drop the decimal

47.

when dividing a decimal by a decimal, you need to move _____

a)

the divisors decimal

b)

the dividends decimal

c)

both decimals the same amount

d)

nothing

48.

  231 ÷42231\ \div42  

a)

55

b)

55.5

c)

5.5

d)

5.738

49.

436.96 +4.736 =436.96\ +4.736\ =  

a)

440.696

b)

441.696

c)

.48432

d)

48.432

50.

3.64 × 2.8 =3.64\ \times\ 2.8\ =  

a)

.392

b)

9.162

c)

101.92

d)

10.192

51.

2.01 × .43 =2.01\ \times\ .43\ =  

a)

.8643

b)

.1443

c)

203

d)

.1407

52.

26 + 14.081 =26\ +\ 14.081\ =  

a)

14.107

b)

11.919

c)

40.081

d)

30.081

53.

8.006 6.38 =8.006\ -6.38\ =  

a)

1.726

b)

7.368

c)

14.386

d)

1.626

54.

4.834 ÷ .2 =4.834\ \div\ .2\ =  

a)

241.7

b)

.2417

c)

24.17

d)

2.417

55.

19.6  4.821 =19.6\ -\ 4.821\ =  

a)

14.779

b)

14.789

c)

14.821

d)

24.421

56.
Holli’s cheerleading uniform cost $89.23. There are 16 cheerleaders on the squad. How much will it cost for all of the uniforms? 
a)
$105.23
b)
$624.68
c)
$1427.68
d)
$1516.91
57.
Mrs. Rozzio is making several trays of her famous lasagna. She finds the mozzarella cheese on sale for $4.89 per pound at her local grocery store. How much will she pay for four pounds of cheese?
a)
$8.89
b)
$9.33
c)
$16.26
d)
$19.56
58.
The Morningside Soccer Team has uniforms on sale for $21.99. There are 22 soccer players on Louis’s team, including Louis. Every player on the team buys a uniform. How much did they pay in all?
a)
$439.80
b)
$460.68
c)
$483.78
d)
$505.77
59.
Marco has $75 to spend on new clothes for a job interview. He buys a shirt for $18.28, pants for $42.39, and a tie for $12.97. How much money will Marco have left after he buys these clothes?
a)
$1.36
b)
$14.33
c)
$19.64
d)
$43.75
60.
Jessica and two friends spent $36.93 on dinner. They left a $6.00 tip. How much did each person spend if they split the bill and tip equally?
a)
$12.31
b)
$14.31
c)
$18.47
d)
$21.47
61.
What is the value of the 4 in the number 549,632
a)
hundred thousands
b)
ten thousands
c)
40,000
d)
400,000
62.
What place value is the 7 in in the number:  4,521,735?
a)
thousands
b)
tens
c)
hundreds
d)
hundred thousands
63.
Which number below has a 9 in the hundred thousands place?
a)
123,456,789
b)
987,654,321
c)
999,888,777
d)
768,921,543
64.
Which digit is in the tenths place in the number 473.521?
a)
2
b)
5
c)
1
d)
7
65.
Which digit is in the thousandths place in the number 473.521?
a)
4
b)
5
c)
2
d)
1
66.
What is the standard form of Thirty-eight and seventy-two hundredths?
a)
38.72
b)
308.720
c)
3872
d)
308.27
67.
Which digit shows the tenths place value in 520.345?
a)
5
b)
4
c)
3
d)
2
68.
What place is the seven in?
456.007
a)
thousandths
b)
tenths
c)
thousands
d)
hundredths
69.
What is the place value name of the digit 6 in the number below?
247.167
a)
tenths
b)
tens
c)
hundredths
d)
hundreds
70.
What is the STANDARD FORM of
 Two and one hundred eight thousandths?
a)
2.108
b)
2108
c)
2.18
d)
2.80
71.
What is the coefficient of x?
8 + 5x - y
a)
8
b)
0
c)
5
d)
-5
72.
What is the coefficient of x?
3x + 8x2
a)
3
b)
11
c)
-11
d)
8
73.
What is the constant?
-3x + 2
a)
2
b)
-3x
c)
-3
d)
3
74.
How many terms are in the expression?
-4 + 6y + 10x + 3a
a)
4
b)
3
c)
5
d)
2
75.
Identify the terms, coefficients, and constants of the expression. 6q+1
a)
Terms: 6q, 1   Coefficient: 6 Constant: 1
b)
Terms: 6   Coefficient: 1     Constant: q
c)
Terms: 6q      Coefficients: 6, 1     Constant: 1
d)
Terms: 1     Coefficient: 6     Constant: 1, q
76.
A symbol for a number we don't know yet. This is usually a letter.
a)
coefficient
b)
sum
c)
variable
d)
term
77.
The number you see before a variable (Example: 6z, the 6 is the ________)
a)
coefficient
b)
variable
c)
term
d)
product
78.
A number on its own that has a fixed value.
a)
constant
b)
coefficient
c)
term
d)
variable
79.
An __________________  includes a combination of TERMS separated by at least 1 operator, Examples:  2x+7,       y–3, 7w+3,       8ab+9, 
a)
Constant
b)
Coefficient
c)
Term
d)
Expression
80.
Evaluate the expression: x + 2 when x = 6
a)
8
b)
4
c)
12
d)
10
81.
Evaluate the expression: 12 - x when x = 5
a)
17
b)
8
c)
7
d)
9
82.
3x + 8   if x = 2
a)
13
b)
14
c)
15
d)
16
83.
Evaluate x ÷ 4 for x=48
a)
12
b)
44
c)
52
d)
192
84.
Evaluate 2r + 1      if   r = 3
a)
6
b)
5
c)
7
d)
8
85.
Evaluate 4y  if       y = 3
a)
7
b)
12
86.

An expression does not have an equal sign.

a)

True

b)

False

87.
The product of seven and a number increased by five
a)
7+n+5
b)
7/n+5
c)
7n+5
d)
7-n+5
88.
the difference of 100 and a number w 
a)
100 + w 
b)
100 / (6 + w)
c)
100  - w
d)
100 / 6 + w 
89.

Product of 4 and p

a)

4/p

b)

4p

c)

12/4p

d)

12/4x

90.
Write the phrase as an expression. "10 less than a number n"
a)
10-n
b)
n-10
c)
n+10
d)
10-n
91.
A number decreased by 9
a)
9 - x
b)
x + 9
c)
x/9
d)
x - 9
92.
4 less than 5 times a number (g)
a)
4g -5
b)
5g - 4
c)
5-4g
d)
4 - 5g
93.
5 more than the product of (w) and 9
a)
9w + 5
b)
9/w + 5
c)
9w - 5
d)
5w + 9
94.
15 divided by a number (r)
a)
r/15
b)
15/r
c)
15 + r
d)
15 - r
95.
6 less than 7 times a number (b)
a)
6 - 7b
b)
7/b - 6
c)
b/7 -6
d)
7b - 6
96.
Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.
a)
4m + 8
b)
8m - 4
c)
8m + 4
d)
4m - 8
97.

Translate this phrase into an algebraic expression.

The difference of 3 times a number and 7

Use the variable n to represent the unknown number.

a)

3 - 7n

b)

3n - 7

c)

3n + 7

d)

3 / 7n

98.

Translate this phrase into an algebraic expression.

2 times the difference of a number and 11

Use the variable t to represent the unknown number.

a)

2t - 11

b)

2(t - 11)

c)

2(t / 11)

d)

2 x t - 11

99.

What word phrase can you use to represent "5x + 2"?

a)

5 times a number plus 2

b)

2 more than the product of 5 and a number

c)

a number times the sum of 5 and 2

d)

the sum of 5 times a number and 2

100.

Write a verbal expression for:

2a+6

a)

6 more than the product of 2 and a number

b)

6 less than the product of 2 and a number

c)

6 more than the quotient of 2 and a number

d)

twice a number plus 6

101.

Write a word phrase to represent the following algebraic expression:


9n+1

a)

the quotient of 9 and a number plus 1

b)

the product of 9 and a number plus 1

c)

1 more than the quotient of 9 and a number

d)

1 more than the product of 9 and a number

102.

Write a word phrase to represent the following algebraic expression:

z89\frac{z}{8}-9  

a)

the quotient of 8 and a number minus 9

b)

the product of 8 and a number minus 9

c)

the quotient of a number and 8 minus 9

d)

9 less than the quotient of a number and 8

103.

Write a word phrase to represent the following algebraic expression: q+5q+5  

a)

a number plus 5

b)

the difference of 5 and a number

c)

5 more than a number

d)

the difference of a number and 5

104.

Write a word phrase to represent the following algebraic expression:

12x12x  

a)

the product of a number and 12

b)

the product of 12 and a number

c)

12 times a number

d)

a number times 12

105.

When solving an equation that uses addition, such as t + 8 = 20, what inverse operation should you use to solve for t?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

106.

When solving an equation that uses division, such as n/8 = 7, what inverse operation should you use to solve for n?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

107.
What is the inverse operation needed to solve the following one-step equation?
450 = p - 345
a)
subtraction
b)
addition
c)
multiplication
d)
division
108.
What is the inverse operation needed to solve the following one-step equation?
y - 45 = -67
a)
subtraction
b)
addition
c)
multiplication
d)
division
109.
What is the inverse operation needed to solve the following one-step equation?
300 + y = 200
a)
subtraction
b)
addition
c)
multiplication
d)
division
110.
What is the inverse operation needed to solve the following one-step equation?
-2 + y = -15
a)
subtraction
b)
addition
c)
multiplication
d)
division
111.
What is the inverse operation needed to solve the following one-step equation?
y / 7 = 14
a)
subtraction
b)
addition
c)
multiplication
d)
division
112.
What is the inverse operation needed to solve the following one-step equation?
5y = -15
a)
subtraction
b)
addition
c)
multiplication
d)
division
113.
What is the inverse operation needed to solve the following one-step equation?
100z = 50
a)
subtraction
b)
addition
c)
multiplication
d)
division
114.
What is the inverse operation needed to solve the following one-step equation?
a - 40 = 35
a)
subtraction
b)
addition
c)
multiplication
d)
division
115.
What is the inverse operation needed to solve the following one-step equation?
30m = 15
a)
subtraction
b)
addition
c)
multiplication
d)
division
116.
What is the inverse operation needed to solve the following one-step equation?
n / 4 = 7
a)
subtraction
b)
addition
c)
multiplication
d)
division
117.
What is the inverse operation needed to solve the following one-step equation?
987 + c = 356
a)
subtraction
b)
addition
c)
multiplication
d)
division
118.
What is the inverse operation needed to solve the following one-step equation?
5 + x = 1234
a)
subtraction
b)
addition
c)
multiplication
d)
division
119.
An inverse operation is
a)
reversing the sign in an inequality
b)
using the opposite operation to solve equations
c)
 A number’s distance from zero
120.
One difference between equations and expressions would be...
a)
you solve both of them using inverse operations.
b)
you flip the symbol when you multiply or divide by a negative
c)
equations have an equals because they show two equal expressions. Expresions have terms and operations.
121.
Choose the first step in solving the following equation.
-3y - 12 = 14
a)
add 3 from both sides
b)
add 12 to both sides
c)
subtract 12 from both sides
122.
Solve:
19  +  a  =  –40
a)
–950
b)
–59
c)
–31
d)
2.6
123.
Solve:
x – 8 = –5 
a)
13
b)
–13
c)
3
d)
–3
124.
Solve:
a)
20
b)
7
c)
10
d)
3
125.
Solve:
6b = 30
a)
–24
b)
24
c)
180
d)
5
126.

What are the two basic rules for solving algebraic equations?

a)

Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign

b)

Negative signs can be ignored

c)

Always start on the left side, regardless of where the variable is

d)

Always do the opposite operation

127.
Solve for x
17 = x + 3
a)
x = 20
b)
x = 14
c)
x = 13
d)
x = 19
128.
Using the "opposite operation" to "undo" and isolate the variable when solving an equation is more commonly called...
a)
Inverse operations
b)
math
c)
variable
d)
PEMDAS
129.
Solve the equation
3x = 27. 
a)
x = 24
b)
x = 81
c)
x = 9
130.
r/4 = 13
a)
r = 17
b)
r = 52
c)
r = 27
d)
r = 9
131.
c/16 = 2
a)
c = 1
b)
c = 2
c)
c = 32
d)
c = 18
132.
To solve the equation
x + 5 = 8
 I would ....
a)
subtract 5 from x
b)
subtract 5 from both sides
c)
subtract 5 from one side and add 5 to the other
d)
add 5 to both sides
133.
in 3a =12,
I would....
a)
add 3 to both sides
b)
subtract 3 from both sides
c)
divide both sides by 3
d)
divide just the right by 3