course 2 nine weeks (1) review

Course 2 Nine Weeks (1) Review

SOLs 7.3, 7.1, 7.16, 7.2, 7.13

SOL 7.3The student will

a) model addition, subtraction, multiplication and division of integers; andb) add, subtract, multiply, and divide integers.

• The set of integers is the set of whole numbers and their opposites (e.g., … –3, –2, –1, 0, 1, 2, 3, …).

• Integers are used in practical situations, such as temperature changes (above/below zero), balance in a checking account (deposits/withdrawals), and changes in altitude (above/below sea level).

• The sums, differences, products and quotients of integers are either positive, zero, or negative.

SOL 7.3 Question 1

Jasmine’s bank account was in the red $15. She deposited $28. Then, she wrote a check for $6. What is the balance of Jasmine’s bank account?

Jasmine’s account balance is in the red $9; so, -9.

Jasmine’s account balance is $7; so, 7.

Jasmine’s account balance is $19; so 19.

Jasmine’s account is in the red $7; so, -7.

CorrectWOW!

You’re a Math Star!

SOL 7.3 Question 2

11

-3

3

-11

- --- - - -

+ + +++

=

CorrectWOW!


SOL 7.3 Question 3

-7 – (-9) =2

-2

-16

16

CorrectWOW!


SOL 7.3 Question 4

Over the past week, the temperature dropped a total of 28 degrees. Write an integer to represent the average

drop in temperature per day.

4

28

-4

7

CorrectWOW!

You’re a Math Star!I think you’re ready to move on!

SOL 7.1

The student will

a) investigate and describe the concept of negative exponents for powers of ten;

b) determine scientific notation for numbers greater than zero;

c) compare and order fractions, decimals, percents and numbers written in

scientific notation;

d) determine square roots; and

e) identify and describe absolute value for rational numbers.

SOL 7.1 Question 5

Which is the equivalent of .

-0.0001

-40

0.0001

0.4

CorrectWOW!


SOL 7.1 Question 6

Which is the equivalent of .

10− 2

10− 1

102

101

CorrectWOW!


SOL 7.1 Question 7

Over a lifetime, the average corporate CEO grosses $205,000,000. Write this number in scientific notation.

2.5×108

2.05×106

2.05×108

2.5×106

CorrectWOW!


SOL 7.1 Question 8

Which selection below is placed in descending order?

2.5×101 , 15 , 44% ,0.043

15,0.043 ,2.5×10

1

,44%

0.043 , 15 ,44% ,2.5×101

2.5×101 , 44% , 15 ,0.043

CorrectWOW!


SOL 7.1 Question 9

Place the following in order from least to greatest.

A, B,C, D

D, C, B, A

B, A, D, C

A, C, D, B

Letter Scientific NotationABCD

CorrectWOW!


SOL 7.1 Question 10What is ?

12.5

5

625

50

CorrectWOW!


SOL 7.1 Question 10

What is the value of ?

-19

9.5

119

19

CorrectWOW!


SOL 7.16The student will apply the following properties of operations with real numbers:a) the commutative and associative properties for addition and multiplication;b) the distributive property;c) the additive and multiplicative identity properties;d) the additive and multiplicative inverse properties; ande) the multiplicative property of zero.• Subtraction and division are neither commutative nor associative.

• Identity elements are numbers that combine with other numbers without changing the

other numbers.

• Inverses are numbers that combine with other numbers and result in identity elements

[e.g., 5 + (–5) = 0; ]

• Zero has no multiplicative inverse.

• Division by zero is not a possible arithmetic operation. Division by zero is undefined.

SOL 7.16 Question 11

If the distributive property is applied to 5(7+3) , which is the result?

5(3+7)

5 + 7 + 3

5(3) + 5(7)

5 + 3 + 5 + 7

CorrectWOW!



What property is displayed shown?5 + (8 + 4)= 5 + (4 + 8)

Associative

Commutative

Distributive

Additive Inverse

CorrectWOW!



If 5 • a = 1, then a must be…

One

Multiplicative Identity

Zero

Multiplicative Inverse

CorrectWOW!


SOL 7.2The student will describe and represent arithmetic

and geometric sequences using variable expressions.

• In the numeric pattern of an arithmetic sequence, students must determine the

difference, called the common difference.

• In geometric sequences, students must determine what each number is multiplied by

in order to obtain the next number in the geometric sequence, called the common

ratio.

• A variable expression can be written to express the relationship between two

consecutive terms of a sequence.

SOL 7.2 Question 14

Which variable expression was used to find the common difference in the sequence below?

2, 4, 6, 8, 10, 12…

2n

n+2

nx2

2 + 2

CorrectWOW!


SOL 7.2 Question 15

Find the 7th term in the sequence below,2, 4, 8, 16,…

32

128

64

112

CorrectWOW!


SOL 7.2 Question 16

3n represents the relationship between two consecutive terms in which sequence?

3, 9, 15, 21…

3, 9, 27, 81…

1, 3, 6, 9…

-3, 0, 3, 6…

CorrectWOW!


SOL 7.13The student willa) write verbal expressions as algebraic expressions and sentences as equations and vice versa; andb) evaluate algebraic expressions for given replacement values of the variables.• An expression is a name for a number.• An expression that contains a variable is a variable expression.• An expression that contains only numbers is a numerical expression.• A verbal expression is a word phrase (e.g., “the sum of two consecutive integers”).• A verbal sentence is a complete word statement (e.g., “The sum of two consecutive

integers is five.”).• An algebraic expression is a variable expression that contains at least one variable

(e.g., 2x – 5).• An algebraic equation is a mathematical statement that says that two expressions are

equal (e.g., 2x + 1 = 5).• To evaluate an algebraic expression, substitute a given replacement value for a

variable and apply the order of operations.

SOL 7.13a Question 17

8 more than the quotient of 42 and r is which expression?

8+ 42𝑟

42𝑟+8

42𝑟 +8

8+42𝑟

CorrectWOW!


SOL 7.13a Question 18

Which phrase best represents the following?

Twice a number less than 8

8 minus half a number

8 less than double a number

Two times 8 minus a number

CorrectWOW!


SOL 7.13b Question 19

Evaluate the following expression , when m = 4.

33

25

60

28

CorrectWOW!


SOL 7.13b Question 20

Evaluate the following expression , when r = 5.

57

31

-77

-57

CorrectWOW, Math Star!I think you’re ready to ace your test!

7.16 Sorry, Wrong Answer!

Click here to go back and try again!

Commutative Property: The ORDER of the numbers changes.Associative Property: The order of the numbers stays the same, but the numbers inside of the PARENTHESES change.Distributive Property: The number on the outside of the parentheses is PASSED OUT to the numbers inside of the parentheses.Identity Properties: An operation (+ 0 or x 1) is performed and NOTHING CHANGED with the original number.Inverse Properties: The OPPOSITE was added or the RECIPROCAL was multiplied to give a sum of zero or a product of one.Zero Property: Any number TIMES ZERO, EQUALS ZERO.


Click here to go back and try again!

• Arithmetic sequence, use the common difference, between to determine what is added to each previous number to obtain the next number.

• Geometric sequences, use the common ratio to determine what each number is multiplied by in order to obtain the next number. This

• A variable expression can be written to express the relationship between two consecutive terms of a sequence- If n represents a number in the sequence 3, 6, 9, 12…, the next term in the sequence can be determined using the variable expression n + 3. If n represents a number in the sequence

• 1, 5, 25, 125…, the next term in the sequence can be determined by using the variable expression 5n.

7.13a Sorry, Wrong Answer!

Click here to go back and

try again!

Remember the rules of

“than”, “from” and “to”.

Read, STOP, Think,

then Answer!

7.13b Sorry, Wrong Answer!

Click here to go back and

try again!

7.1a Sorry, Wrong Answer!

Click here to go back and try

again!

Use the pattern we discovered in class, shown below, and what you know about place value to

help you answer the question!

102103 101 100 10− 1

1 ,000 100 10 1 0.1

10001

1001

101

11

110

7.1b Sorry, Wrong Answer!


again!

1. Place a decimal point after the first natural number (counting numbers).

2. Count the number of spaces you moved the decimal point!

3. Write your “x 10”.

4. Tack on your exponent (step 2).

7.1c Sorry, Wrong Answer!


again!

7.1d Sorry, Wrong Answer!


again!

The square root of a number can be represented geometrically as the

length of a side of the square.

√9=3There are 9 small squares that make the larger square.

The side of the large square is 3 units.

Draw a picture or think about what number times itself will give you the same product as the number under the radical sign to help you figure out the answer!

7.1e Sorry, Wrong Answer!


again!

The absolute value of a number is the distance from 0 on the number line regardless of direction.

Use the number line to help you answer the question!


Use your number line, these rules, or draw counters to

help you solve the problem!


again!

Raise your hand to let me know you are finished!

Nice Job!

course 2 nine weeks (1) review

Documents

b20 sol

jasmines account balance

arithmetic sequence

multiplicative property

variable expressions

student willa

common difference

math star