Download Math 7 - Chapter 1 Test Review

Math 7 - Chapter 1 Test Review
Short Answer
Write each power as a product of the same factor.
1.
2.
Write each product in exponential form.
3. 
4. 
Evaluate each expression.
5.
6. (25 – 10) 9
7. 30  6  3  2
8.
9.
10. 6b – x if b = 5 and x = 7
11.
Use the Distributive Property to write each expression as an equivalent expression. Then evaluate the
expression.
12. 8(6 + 2)
13. (5 – 1)7
Name the property shown by each statement.
14. 6  (4  3) = (6  4)  3
15. p(q + r) = pq + pr
16. 6 + 4 = 4 + 6
17. 6  (4 + 5) = 6  4 + 6  5
18. 20  1 = 20
19. 4  (3 + c) = 4  3 + 4  c
Describe the pattern in each sequence and identify the sequence as arithmetic, geometric, or neither.
20. 3, 15, 75, 375, ...
21. 2, 3, 5, 8, ...
Write the next three terms of each sequence.
22. 7, 13, 19, 25, ...
23. 6.6, 10.4, 14.2, 18, ...
Complete.
24. 230 mm = ____ m
25. 1.26 m = ____ cm
26. 374 L = ____ kL
27. 1.827 kL = ____ L
28. 833 g = ____ kg
29. 2.045 kg = ____ g
Write each number in scientific notation.
30. 360
31. 7,410,000
Write each number in standard form.
32. 1.87  103
33. 4.65  103
Math 7 - Chapter 1 Test Review
Answer Section
SHORT ANSWER
1. ANS:

Use the base as a factor in multiplication the number of times indicated by the exponent.
PTS: 1
DIF: Basic
OBJ: 1-2.1 Write powers as a product of factors.
STA: NSO.1
TOP: Write powers as a product of powers.
KEY: Powers | Exponents
MSC: 1999 Lesson 1-4
2. ANS:

Use the base as a factor in multiplication the number of times indicated by the exponent.
PTS: 1
DIF: Basic
OBJ: 1-2.1 Write powers as a product of factors.
STA: NSO.1
TOP: Write powers as a product of powers.
KEY: Powers | Exponents
MSC: 1999 Lesson 1-4
3. ANS:
The common factor is the base. The exponent is the number of times the common factor is used as a factor.
PTS: 1
DIF: Basic
STA: NSO.1 | NSO.2
KEY: Powers | Exponents
4. ANS:
OBJ: 1-2.3 Write products in exponential form.
TOP: Write products in exponential form.
MSC: 1999 Lesson 1-4
The common factor is the base. The exponent is the number of times the common factor is used as a factor.
PTS: 1
DIF: Basic
OBJ: 1-2.3 Write products in exponential form.
STA: NSO.1 | NSO.2
TOP: Write products in exponential form.
KEY: Powers | Exponents
MSC: 1999 Lesson 1-4
5. ANS:
100
Use the base as a factor the number of times indicated by the exponent. Perform the multiplication.
PTS: 1
DIF: Average
OBJ: 1-2.2 Evaluate expressions with exponents.
STA: NSO.1 | NSO.2
TOP: Evaluate expressions with exponents.
KEY: Powers | Exponents
MSC: 1999 Lesson 1-4
6. ANS:
135
1. Do all operations within grouping symbols first.
2. Multiply and divide in order from left to right.
3. Add and subtract in order from left to right.
PTS: 1
STA: NSO.4
DIF: Basic
OBJ: 1-3.1 Evaluate expressions using the order of operations.
TOP: Evaluate expressions using the order of operations.
KEY: Order of operations | Evaluating expressionsMSC:
7. ANS:
11
1. Do all operations within grouping symbols first.
2. Multiply and divide in order from left to right.
3. Add and subtract in order from left to right.
1999 Lesson 1-2
PTS: 1
DIF: Average
OBJ: 1-3.1 Evaluate expressions using the order of operations.
STA: NSO.4
TOP: Evaluate expressions using the order of operations.
KEY: Order of operations | Evaluating expressionsMSC:
1999 Lesson 1-2
8. ANS:
58
1. Do all operations within grouping symbols first.
2. Do all powers before other operations.
3. Multiply and divide in order from left to right.
4. Add and subtract in order from left to right.
PTS: 1
DIF: Average
OBJ: 1-3.2 Evaluate expressions with exponents using the order of operations.
STA: NSO.1 | NSO.2 | NSO.4
TOP: Evaluate expressions with exponents using the order of operations.
KEY: Exponents | Order of operations
MSC: 1999 Lesson 1-2
9. ANS:
140,000
1. Do all operations within grouping symbols first.
2. Do all powers before other operations.
3. Multiply and divide in order from left to right.
4. Add and subtract in order from left to right.
PTS: 1
DIF: Average
OBJ: 1-3.2 Evaluate expressions with exponents using the order of operations.
STA: NSO.1 | NSO.2 | NSO.4
TOP: Evaluate expressions with exponents using the order of operations.
KEY: Exponents | Order of operations
MSC: 1999 Lesson 1-2
10. ANS:
23
You can evaluate an algebraic expression by replacing the variables with numbers and then finding the value
of the numerical expression.
PTS: 1
DIF: Average
OBJ: 1-4.1 Evaluate simple algebraic expressions.
STA: PFA.1 | PFA.7 | NSO.6
TOP: Evaluate simple algebraic expressions.
KEY: Evaluating expressions | Algebraic expressions
MSC: 1999 Lesson 1-3
11. ANS:
109
You can evaluate an algebraic expression by replacing the variables with numbers and then finding the value
of the numerical expression.
PTS: 1
DIF: Average
OBJ: 1-4.1 Evaluate simple algebraic expressions.
STA: PFA.1 | PFA.7 | NSO.6
TOP: Evaluate simple algebraic expressions.
KEY: Evaluating expressions | Algebraic expressions
MSC: 1999 Lesson 1-3
12. ANS:
8  6 + 8  2 = 64
The sum of two addends multiplied by a number is the sum of the product of each addend and the number.
PTS: 1
DIF: Average
OBJ: 1-6.1 Use the Distributive Property to solve problems.
STA: NSO.4
TOP: Use the Distributive Property to solve problems.
KEY: Distributive property | Solve problems
MSC: 1999 Lesson 7-8
13. ANS:
7  5 – 7  1 = 28
The sum of two addends multiplied by a number is the sum of the product of each addend and the number.
PTS: 1
DIF: Average
OBJ: 1-6.1 Use the Distributive Property to solve problems.
STA: NSO.4
TOP: Use the Distributive Property to solve problems.
KEY: Distributive property | Solve problems
MSC: 1999 Lesson 7-8
14. ANS:
Associative Property of Multiplication
Associative Property: (a  b)  c = a  (b  c)
PTS: 1
DIF: Average
OBJ: 1-6.2 Name properties of addition and multiplication shown in statements.
STA: NSO.4
TOP: Name properties of addition and multiplication shown in statements.
KEY: Addition properties | Multiplication properties
MSC: 1999 Lesson 7-8
15. ANS:
Distributive Property
Distributive Property: a  (b + c) = a  b + a  c
PTS: 1
DIF: Average
OBJ: 1-6.2 Name properties of addition and multiplication shown in statements.
STA: NSO.4
TOP: Name properties of addition and multiplication shown in statements.
KEY: Addition properties | Multiplication properties
MSC: 1999 Lesson 7-8
16. ANS:
Commutative Property of Addition
Commutative Property: a + b = b + a
PTS: 1
DIF: Average
OBJ: 1-6.2 Name properties of addition and multiplication shown in statements.
STA: NSO.4
TOP: Name properties of addition and multiplication shown in statements.
KEY: Addition properties | Multiplication properties
MSC: 1999 Lesson 7-8
17. ANS:
Distributive Property
Distributive Property: a  (b + c) = a  b + a  c
PTS: 1
DIF: Average
OBJ: 1-6.2 Name properties of addition and multiplication shown in statements.
STA: NSO.4
TOP: Name properties of addition and multiplication shown in statements.
KEY: Addition properties | Multiplication properties
MSC: 1999 Lesson 7-8
18. ANS:
Identity Property of Multiplication
Identity Property: a  1 = a
PTS: 1
DIF: Average
OBJ: 1-6.2 Name properties of addition and multiplication shown in statements.
STA: NSO.4
TOP: Name properties of addition and multiplication shown in statements.
KEY: Addition properties | Multiplication properties
MSC: 1999 Lesson 7-8
19. ANS:
Distributive Property
Distributive Property: a  (b + c) = a  b + a  c
PTS: 1
DIF: Average
OBJ: 1-6.2 Name properties of addition and multiplication shown in statements.
STA: NSO.4
TOP: Name properties of addition and multiplication shown in statements.
KEY: Addition properties | Multiplication properties
MSC: 1999 Lesson 7-8
20. ANS:
multiply by 5; geometric
If you can always find the next term in the sequence by multiplying the previous term by the same number,
the sequence is called a geometric sequence.
PTS: 1
DIF: Average
OBJ: 1-7.1 Recognize patterns for sequences.
STA: PFA.1 | PFA.2
TOP: Recognize patterns for sequences.
KEY: Patterns | Sequences
MSC: 1999 Lesson 4-3
21. ANS:
add 1, 2, 3...; neither
If you can always find the next term in the sequence by adding the same number to the previous term, the
sequence is an arithmetic sequence. There are many sequences that are neither arithmetic or geometric.
PTS: 1
DIF: Average
OBJ: 1-7.1 Recognize patterns for sequences.
STA: PFA.1 | PFA.2
TOP: Recognize patterns for sequences.
KEY: Patterns | Sequences
MSC: 1999 Lesson 4-3
22. ANS:
31; 37; 43
If you can always find the next term in the sequence by adding the same number to the previous term, the
sequence is an arithmetic sequence.
If you can always find the next term in the sequence by multiplying the same number by the previous term,
the sequence is an geometric sequence.
PTS: 1
DIF: Average
OBJ: 1-7.2 Extend patterns for sequences.
STA: PFA.1 | PFA.2 | PFA.3
TOP: Extend patterns for sequences.
KEY: Patterns | Sequences
MSC: 1999 Lesson 4-3
23. ANS:
21.8, 25.6, 29.4
If you can always find the next term in the sequence by adding the same number to the previous term, the
sequence is an arithmetic sequence.
PTS: 1
DIF: Average
STA: PFA.1 | PFA.2 | PFA.3
KEY: Patterns | Sequences
24. ANS:
0.23 m
To change from cm to m, divide by 100.
OBJ: 1-7.2 Extend patterns for sequences.
TOP: Extend patterns for sequences.
MSC: 1999 Lesson 4-3
To change from mm to cm, divide by 10.
To change from mm to m, divide by 1000.
PTS: 1
DIF: Basic
OBJ: 1-8.1 Change metric units of length.
STA: MEA.5
TOP: Change metric units of length.
KEY: Measurement | Metric
MSC: 1999 Lesson 2-8
25. ANS:
126 cm
To change from m to cm, multiply by 100.
To change from cm to mm, multiply by 10.
To change from m to mm, multiply by 1000.
PTS: 1
DIF: Average
OBJ: 1-8.1 Change metric units of length.
STA: MEA.5
TOP: Change metric units of length.
KEY: Measurement | Metric
MSC: 1999 Lesson 2-8
26. ANS:
0.374
To change mL to L or L to kL, divide by 1000.
PTS: 1
DIF: Basic
OBJ: 1-8.2 Change metric units of capacity.
STA: MEA.2 | MEA.5
TOP: Change metric units of capacity.
KEY: Measurement | Metric
MSC: 1999 Lesson 2-8
27. ANS:
1,827
To change L to mL or kL to L, multiply by 1000.
PTS: 1
DIF: Basic
OBJ: 1-8.2 Change metric units of capacity.
STA: MEA.2 | MEA.5
TOP: Change metric units of capacity.
KEY: Measurement | Metric
MSC: 1999 Lesson 2-8
28. ANS:
0.833
To change mg to g or g to kg, divide by 1000.
PTS: 1
DIF: Basic
OBJ: 1-8.3 Change metric units of mass.
STA: MEA.2 | MEA.5
TOP: Change metric units of mass.
KEY: Measurement | Metric
MSC: 1999 Lesson 2-8
29. ANS:
2,045
To change g to mg or kg to g, multiply by 1000.
PTS: 1
DIF: Basic
OBJ: 1-8.3 Change metric units of mass.
STA: MEA.2 | MEA.5
TOP: Change metric units of mass.
KEY: Measurement | Metric
MSC: 1999 Lesson 2-8
30. ANS:
3.6  102
To write a number in scientific notation, move the decimal point to the right of the first nonzero digit, and
multiply this number by a power of ten. To find the power of ten, count the number of places you moved the
decimal point. The decimal part of a number written in scientific notation is often rounded to the hundredths
place.
PTS: 1
DIF: Basic
OBJ: 1-9.1 Write numbers greater than 100 in scientific notation.
STA: NSO.1
TOP: Write numbers greater than 100 in scientific notation.
KEY: Scientific notation | Numbers
MSC: 1999 Lesson 2-9
31. ANS:
7.41  106
To write a number in scientific notation, move the decimal point to the right of the first nonzero digit, and
multiply this number by a power of ten. To find the power of ten, count the number of places you moved the
decimal point. The decimal part of a number written in scientific notation is often rounded to the hundredths
place.
PTS: 1
DIF: Average
OBJ: 1-9.1 Write numbers greater than 100 in scientific notation.
STA: NSO.1
TOP: Write numbers greater than 100 in scientific notation.
KEY: Scientific notation | Numbers
MSC: 1999 Lesson 2-9
32. ANS:
1,870
To change a number greater than 100 from scientific notation to a standard number, move the decimal to the
right the number of places indicated by the exponent and drop the multiplication by 10 to the power.
PTS: 1
DIF: Average
OBJ: 1-9.2 Write numbers greater than 100 in standard form.
STA: NSO.1
TOP: Write numbers greater than 100 in standard form.
KEY: Standard form | Numbers
MSC: 1999 Lesson 2-9
33. ANS:
4650
To change a number greater than 100 from scientific notation to a standard number, move the decimal to the
right the number of places indicated by the exponent and drop the multiplication by 10 to the power.
PTS: 1
DIF: Basic
OBJ: 1-9.2 Write numbers greater than 100 in standard form.
STA: NSO.1
TOP: Write numbers greater than 100 in standard form.
KEY: Standard form | Numbers
MSC: 1999 Lesson 2-9