EXPRESSIONS TEST REVIEW

Numeric Expressions with Exponents

​

Multiple Choice

Which best describes the 1st step in evaluating the expression

 $4\cdot\frac{53+1}{\left(8-5\right)^3}$  

• simplify  $5^3$  

• multiply 4 x 53

• subtract 8-5

• add 53+1

Objective

• Write numerical expressions involving whole-number exponents

• Evaluate numerical expressions involving whole-number exponents

Vocabulary

• Base: the number that

• 
  

Vocabulary

Base: the number that is multiplied by itself when raised to a certain power

Exponent: a number that dhows how many time a base is used as a factor

Exponential expression: expressions written with exponents

Fill in the Blank

What is the Base in this example?

 $5^3$  

Fill in the Blank

What is the exponent in the example?

 $4^2$  

Multiple Choice

Which expression is equivalents to

 $6^3$  ?

• 6x3

• 6x6x6

• 3x3x3x3x3x3

• 18

Multiple Choice

How would you write

 $4^5$ as a multiplication problem? 

• 4x4x4x4x4

• 5x5x5x5

• 5x4

• 4x5

Open Ended

Is  $2^7$ equivalent to 2x7? Why or why not?  

Multiple Choice

Which student wrote "6 plus 4 cubed" correctly?

• Michael

• Morgan

• Keegan

• No answers are correct

Multiple Choice

What's the first step to evaluating Michael's answer? $(6+4)^3$  

• 6+4

•  $4^3$  

Multiple Choice

Evaluate Michael's answer $\left(6+4\right)^3$  

• 30

• 100

• 1000

• 70

Multiple Choice

Evaluate Morgan's answer $6^3+4^3$  

• 280

• 30

• 1000

• 16

Multiple Choice

Evaluate Keegan's answer  $6+4^3$  

• 18

• 70

• 1000

• 643

Multiple Choice

Where any of their answers equivalent?

• Yes

• No

Multiple Choice

Which best describes the first step to solving the expression?

 $4\cdot\frac{53+1}{\left(8-5\right)^3}$  

• simplify  $5^3$  

• multiply  $4\cdot53$  

• subtract 8 - 5

• add 53 + 1

Multiple Choice

Evaluate $3+5^2\cdot4$  

• 43

• 103

• 64

• 102

Multiple Choice

What is the value of

 $6\div3\times2^3$  

•  $\frac{2}{8}$  

•  $\frac{3}{8}$  

• 16

• 64

Multiple Choice

What is the value of

 $\left(\frac{1}{4}\right)^3$  

•  $\frac{3}{4}$  

•  $\frac{1}{12}$  

•  $\frac{3}{12}$  

•  $\frac{1}{64}$  

Fill in the Blank

Evaluate $\frac{6^2}{3}$  

Multiple Choice

Sum

• Result of adding two or more numbers.

• Result of subtracting two numbers.

• Result of multiplying two or more numbers.

• Result of dividing two or more numbers.

Multiple Choice

Difference

• Result of adding two or more numbers.

• Result of subtracting two numbers.

• Result of multiplying two or more numbers.

• Result of dividing two or more numbers.

Multiple Choice

Product

• Result of adding two or more numbers.

• Result of subtracting two numbers.

• Result of multiplying two or more numbers.

• Result of dividing two or more numbers.

Multiple Choice

Quotient

• Result of adding two or more numbers.

• Result of subtracting two numbers.

• Result of multiplying two or more numbers.

• Result of dividing two or more numbers.

Multiple Choice

Factors

• Each number multiplied to calculate a product.

• An expression that consists of numbers and operations.

• A letter that is used to represent one or more numbers.

• An expression that consists of numbers, variables, and operations.

Multiple Choice

Numerical Expression

• Each number multiplied to calculate a product.

• An expression that consists of numbers and operations.

• A letter that is used to represent one or more numbers.

• An expression that consists of numbers, variables, and operations.

Multiple Choice

Variable

• Each number multiplied to calculate a product.

• An expression that consists of numbers and operations.

• A letter that is used to represent one or more numbers.

• An expression that consists of numbers, variables, and operations.

Multiple Choice

Variable Expression

• Each number multiplied to calculate a product.

• An expression that consists of numbers and operations.

• A letter that is used to represent one or more numbers.

• An expression that consists of numbers, variables, and operations.

Multiple Choice

Evaluate

• To find the value of an expression by substituting a number for each variable.

• An expression that describes a problem using words as labels and using math symbols to relate to the words.

Multiple Choice

Verbal Model

• To find the value of an expression by substituting a number for each variable.

• An expression that describes a problem using words as labels and using math symbols to relate to the words.

Multiple Choice

Power

• The result of repeated multiplication of the same factor.

• The number or expression that is used as a factor in repeated multiplication.

• A number or expression that shows how many times a base is used a factor in repeated multiplication

• A set of rules for evaluating an expressions involving more than one operation.

Multiple Choice

Base

• The result of repeated multiplication of the same factor.

• The number or expression that is used as a factor in repeated multiplication.

• A number or expression that shows how many times a base is used a factor in repeated multiplication

• A set of rules for evaluating an expressions involving more than one operation.

Multiple Choice

Exponent

• The result of repeated multiplication of the same factor.

• The number or expression that is used as a factor in repeated multiplication.

• A number or expression that shows how many times a base is used a factor in repeated multiplication

• A set of rules for evaluating an expressions involving more than one operation.

Multiple Choice

Order of Operations

• The result of repeated multiplication of the same factor.

• The number or expression that is used as a factor in repeated multiplication.

• A number or expression that shows how many times a base is used a factor in repeated multiplication

• A set of rules for evaluating an expressions involving more than one operation.

Multiple Choice

The first step in Order of Operations

• Parenthesis

• Exponents

• Multiplication or Division

• Addition or Subtraction

Multiple Choice

The second step in Order of Operations

• Parenthesis

• Exponents

• Multiplication or Division

• Addition or Subtraction

Multiple Choice

The third step in Order of Operations

• Parenthesis

• Exponents

• Multiplication or Division

• Addition or Subtraction

Multiple Choice

The fourth step in Order of Operations

• Parenthesis

• Exponents

• Multiplication or Division

• Addition or Subtraction

Multiple Choice

True or False: You ALWAYS perform multiplication before division.

• True

• False

Multiple Choice

True or False: You ALWAYS perform addition before subtraction.

• True

• False

Multiple Choice

Integer

• positive (+) and negative (-) whole numbers (including 0)

• negative (-) whole number

• positive (+) whole number

• positive (+) and negative (-) whole numbers (not including 0)

Multiple Choice

Absolute Value | |

• distance from 0 on the number line; SOMEYIMES negative (-) and positive (+) answer

• distance from 0 on the number line; ALWAYS positive (+) answer

• distance from 0 on the number line; ALWAYS negative (-) answer

• positive (+) and negative (-) whole numbers (not including 0)

Multiple Choice

Opposites -( )

• numbers with same absolute value but different sign (positive + or negative -)

• numbers with different absolute value but same sign (positive + or negative -)

Multiple Choice

18 − 4 × 2

• 28
• 16
• 10
• 12

Multiple Choice

18 + (6 – 2) × 2

• 26
• 29
• 44
• 40

Multiple Choice

Which expression equals 9.

• (4 - 1) x (2 + 1)
• (3 x 4) - 1
• 12 - 9 x 3
• 7 x 2 - 6

Multiple Choice

Solve.
7 x [32 - (3 x 4)]

• 884
• 812
• 212
• 140

Multiple Choice

Which numeric expression matches this written expression?
two times the sum of eight and seven

• 2 x 87
• 2 + (8 + 7)
• 2 x 8 + 7
• 2 x (8 + 7)

Multiple Choice

Which numeric expression matches this written expression?
fifteen less than the product of eight and four

• 15 - 8 x 4
• 15 - (8 x 4)
• (8 x 4) -15
• 8 x (4 - 15)

Multiple Choice

What would be my first step? 3 + 4 x 6 - 4 =

• addition
• multiplication
• subtraction
• exponents

Multiple Choice

(10 + 33 - 3) ÷ 8

• 13
• 3
• 5
• 11

Multiple Choice

What does the ( E )in PEMDAS mean?

• experience
• exponents
• examples
• evidence

Multiple Choice

What are the steps to solve the following expression?
50 − 16 ÷ 2 ∗ (12 + 4)

• parentheses
  multiplication
  subtraction
  division
• parentheses
  multiplication
  division
  subtraction
• parentheses
  division
  multiplication
  subtraction
• parentheses
  subtraction
  multiplication
  division

Multiple Choice

Mr. Gollow bought triple as many pencils as Ms. Boggs.  If Ms. Boggs purchased p pencils, then how many pencils did Mr. Gollow purchase?

• p/3
• p + 3
• p - 3
• 3p

Multiple Choice

Mr. O'Neal has 165 comic books in his collection.  Every month, m, he acquires 8 new comics from his monthly subscriptions.  The total number of comic books in his collection is represented by the expression 165 + 8m.
What is the total number of comic books Mr. O'Neal will have after 3 months?

• 173
• 189
• 200
• 157

Multiple Choice

Write an algebraic expression for the following: 8 more than f

• 8 - f
• 8 = f
• f + 8
• 8f

Multiple Choice

Which of the following is the value of
 5 + 4x when x = 10?

• 19
• 54
• 45
• 35

Multiple Choice

When h = 6, what is the value of the following expression?
16+(h-2)

• 14
• 20
• 18
• 22

Multiple Choice

At the beginning of the school year, Mrs. Johnson gives each student in her class 2 pencils as a welcome gift. She has N number of students.  She can buy pencils in packs of 8.  Which expression represents how many packs of pencils Mrs. Johnson will need to purchase?

• 2N + 8
• 2N ÷ 8
• 2N x 8
• 2N - 8

Multiple Choice

What is the sum of 14 and x?

• x - 14
• 14(x)
• 14 + x
• 14/x

Multiple Choice

What is 5 less than the product of 6 and s?

• 6s - 5
• 5 - 6s
• 5 + 6 - s
• 6 - s -5

Multiple Choice

Write the phrase as an expression.
twice a number x plus 8

• 2 + 8x
• 2x + 8
• 2(x+8)
• 8(2+x)

Multiple Choice

Evaluate 2a + 4b 
if a = 10     and    b = 6

• 20
• 24
• 44
• 4

Multiple Choice

Which expression means:
15 miles less than Debbie

• d + 15
• d - 15
• 15 - d
• 15 + d

Multiple Choice

A website charges $1 to download a game and $13 membership fee. Write an expression that gives the total cost in dollars to download "g" games.

• 13g + 1

• 1g+13

• 1 +13

• g+ 13 + 1

Multiple Choice

The expression 5n+2 can be used to find the total cost in dollars of bowling where "n" is the number of games bowled and 2 represents the cost of shoe rental. How much will it cost Vincent to bowl 3 games?

• $17
• $10
• $4
• $5

Multiple Choice

There are t tables in the auditorium. If each table seats 10 people, write an algebraic expression for the total number of people who can sit in the auditorium.

• 10 + t

• 10 - t

• 10t

• 10/t

Multiple Choice

twice the sum of y and 5

• 2 + y + 5

• 2y + 5

• 2(y + 5)

• 2 - y + 5

Multiple Choice

b² + 4
when b = 3

• 10
• 12
• 13
• 11

Multiple Choice

Evaluate the expression when x = 3. 
2x² - 5

• 31
• 12
• 7
• 13

Multiple Choice

I open a saving account with $200 and plan to put $50 per month in the account.
Which expression represents this situation after x number of months?

• 200 + 50x
• 200x + 50
• 200 + x + 50
• 12x(50 + 200)

Multiple Choice

A website charges $0.99 to download a game and $12.49 membership fee. Write an expression that gives the total cost in dollars to download "g" games. 

• 12.49g+0.99
• 0.99g+12.49
• 0.99+12.49
• g+12.49+0.99

Multiple Choice

Daniel is taking a trip with his family and they are staying in a hotel, but cannot decide for how long. The hotel charges an initial reservation fee of $20 and then $80 nightly. Which expression represents the cost of staying at this hotel for x days?

• $20+$80x
• ($20+$80)x
• $20x+$80
• $80x-$20

Multiple Choice

A cable company charges $45 per month plus a $20 activation fee.  What is the best expression to determine how much it will cost?

• 45m - 20
• 45 + 20m
• 45m + 20
• 45 - 20m

Multiple Choice

Expression

• a letter or symbol used to represent an unknown quantity that can change

• a member of the set of whole numbers and their opposites

• a mathematical phrase that contains operations, numbers, and/or variables

• a mathematical sentence that shows that two expressions are equivalent

Multiple Choice

Equation

• a mathematical sentence that shows that two expressions are equivalent​

• a member of the set of whole numbers and their opposites

• a letter or symbol used to represent an unknown quantity that can change

• the number that indicates how many times the base is used as a factor

Multiple Choice

Integer

• a member of the set of whole numbers and their opposites

• a letter or symbol used to represent an unknown quantity that can change

• the number that indicates how many times the base is used as a factor

• a number produced by raising a base to an exponent

Multiple Choice

Variable

• a letter or symbol used to represent an unknown quantity that can change

• the number that indicates how many times the base is used as a factor

• a number produced by raising a base to an exponent

• when a number is raised to a power

Multiple Choice

Exponet

• the number that indicates how many times the base is used as a factor​

• a number produced by raising a base to an exponent

• when a number is raised to a power

• to find the value of a numerical or algebraic expression​

Multiple Choice

Power

• a number produced by raising a base to an exponent

• when a number is raised to a power

• to find the value of a numerical or algebraic expression

• an expression that contains at least one variable

Multiple Choice

Base

• when a number is raised to a power

• to find the value of a numerical or algebraic expression

• an expression that contains at least one variable

• an expression that contains only numbers and operations

Multiple Choice

Evaluate

• to find the value of a numerical or algebraic expression

• an expression that contains at least one variable

• an expression that contains only numbers and operations

• numbers that are multiplied by at least one variable

Multiple Choice

Algebraic expression

• an expression that contains at least one variable

• an expression that contains only numbers and operations

• numbers that are multiplied by at least one variable

• a specific number whose value that does not change

Multiple Choice

Numerical expression

• an expression that contains only numbers and operations

• numbers that are multiplied by at least one variable

• a specific number whose value that does not change

• a mathematical process that involves symbols such as +, -, ÷, and ×

Multiple Choice

Coefficient

• numbers that are multiplied by at least one variable

• a specific number whose value that does not change

• a specific number whose value that does not change

• to replace a variable with a number or another expression in an algebraic expression

Multiple Choice

Constant

• a specific number whose value that does not change

• a mathematical process that involves symbols such as +, -, ÷, and ×

•  to replace a variable with a number or another expression in an algebraic expression

• terms with the same variables raised to the same exponents

Multiple Choice

Operation

• a mathematical process that involves symbols such as +, -, ÷, and ×

• to replace a variable with a number or another expression in an algebraic expression

• terms with the same variables raised to the same exponents​

• parts of an expression that are separated by + or - signs

Multiple Choice

Substitute

• to replace a variable with a number or another expression in an algebraic expression

• terms with the same variables raised to the same exponents

• parts of an expression that are separated by + or - signs

• a rule for evaluating expressions​

Multiple Choice

Like terms

• terms with the same variables raised to the same exponents

• parts of an expression that are separated by + or - signs

• a rule for evaluating expressions​

• a mathematical process that involves symbols such as +, -, ÷, and ×

Multiple Choice

Terms

• parts of an expression that are separated by + or - signs

• a rule for evaluating expressions​

• when a number is raised to a power

• when a number is raised to a power

Multiple Choice

Order of Operation

• a rule for evaluating expressions​

• a mathematical sentence that shows that two expressions are equivalent

• the number that indicates how many times the base is used as a factor

OA.2 Lesson

I can write numerical expressions.

Vocabulary

Numerical Expression: a mathematical sentence involving numbers and operations

Sum: the answer to an addition problem

Difference: the answer to a subtraction problem

Product: the answer to a multiplication problem

Quotient: the answer to a division problem

Multiple Select

Which shows how to find the product of 5 and 4?

• $$5\times4$$

• $$5+4$$

• $$5-4$$

• $$5\div4$$

Multiple Select

Which shows how to find the difference between 18 and 3?

• $$18\times3$$

• $$18+3$$

• $$18-3$$

• $$18\div3$$

Multiple Select

Which shows how to find the sum of 9 and 7?

• $$9\times7$$

• $$9+7$$

• $$9-7$$

• $$9\div7$$

Multiple Select

Which shows how to find the quotient of 20 and 4?

• $$20\times4$$

• $$20+4$$

• $$20-4$$

• $$20\div4$$

More Than One Step

Most numerical expressions involve more than one step. Let's make this a little more challenging!

Multiple Choice

seven less than the product of 12 and 18

• (12 x 18) -7

• 7 - (12 x 18)

• 12 x (18 - 17)

• 7 x (12 - 18)

Multiple Select

subtract 24 from 28 and then divide by 2

• $$\left(24-28\right)\div2$$

• $$2\div\left(28-24\right)$$

• $$\left(24\div2\right)-\left(28\div2\right)$$

• $$\left(28-24\right)\div2$$

Multiple Select

the quotient of 4 and 2 multiplied by 5

• $$\left(4+2\right)\times5$$

• $$\left(4\times2\right)\times5$$

• $$\left(4-2\right)\times5$$

• 
  

  $$\left(4\div2\right)\times5$$
  

Multiple Select

multiply the sum of 150 and 140 by 8

• $$\left(150+140\right)\times8$$

• $$\left(150\times140\right)+8$$

• $$\left(150\times140\right)\times8$$

• $$8\times\left(150-140\right)$$

Word Problems

Some word problems can be written out as numerical expressions to solve. Let's practice. : )

Multiple Select

Jill got 32 pieces of candy for Halloween. She ate 8 pieces and then split the rest evenly into 4 bags. Which numerical expression shows how to find how many pieces went in each bag?

• $$\left(32+8\right)\div4$$

• $$\left(32-8\right)\div4$$

• $$\left(32-8\right)\times4$$

• $$\left(32\times8\right)-4$$

Multiple Select

For her birthday Hannah got $20 from her Nana and $15 from her Papaw. She adds this to the $5 she already has in her piggy bank. Which numerical expression can she use to find how much money she has now?

• $$\left(20-15\right)+5$$

• $$\left(20+15\right)\times5$$

• $$\left(20+15\right)-5$$

• $$\left(20+15\right)+5$$

Multiple Select

Rita has a piece of ribbon that is 20 inches long. She cuts the ribbon into 5 equal pieces. Then, she cuts off 2 more inches. Which numerical expression matches the situation?

• $$\left(20-5\right)-2$$

• $$\left(20\div5\right)-2$$

• $$\left(20\times5\right)-2$$

• $$\left(20\div5\right)+2$$

Multiple Select

Will is at the beach. He collected 20 shells yesterday and 17 today. On his way home today 3 shells fell out of his pocket. Which numerical expression shows how many shells he has altogether?

• $$\left(20+17\right)-3$$

• $$\left(20-17\right)-3$$

• $$\left(20+17\right)\times3$$

• $$\left(20+17\right)\div3$$

Open Ended

What has to be broken before you can use it?

MATH 6 | LESSON 11.7 | DISTRIBUTIVE PROPERTY & ALGEBRAIC EXPRESSIONS

Number
Properties &
Equivalent
Expressions

Unit 11

Distributive Property &
Algebraic Expressions

CCSS: 6.EE.A.3

1

Lesson 7

01.

02.

03.

MATH 6 | LESSON 11.7 | DISTRIBUTIVE PROPERTY & ALGEBRAIC EXPRESSIONS

2

UNIT 11: ESSENTIAL QUESTIONS

How do properties of numbers allow us to produce
equivalent expressions?

Why are equivalent expressions useful?

How can we use expressions in the real-world?

LEARNING
OBJECTIVES

MATH 6 | LESSON 11.7 | DISTRIBUTIVE PROPERTY & ALGEBRAIC EXPRESSIONS

3

Students can identify equivalent expressions.

Students simplify expressions by distributing and
combining like terms.

Draw

draw answers on slide

MATH 6 | LESSON 11.7 | DISTRIBUTIVE PROPERTY & ALGEBRAIC EXPRESSIONS

5

Warm-Up: Review Simplifying

MATH 6 | LESSON 11.7 | DISTRIBUTIVE PROPERTY & ALGEBRAIC EXPRESSIONS

6

I Do: Simplifying Expressions

When we “simplify” expressions, we need to:

1. Distribute to remove all grouping symbols.

2. Combine any like terms.

This Photo by Unknown Author is
licensed under CC BY-SA

MATH 6 | LESSON 11.7 | DISTRIBUTIVE PROPERTY & ALGEBRAIC EXPRESSIONS

7

I Do: Simplifying Expressions

MATH 6 | LESSON 11.7 | DISTRIBUTIVE PROPERTY & ALGEBRAIC EXPRESSIONS

8

I Do: Simplifying Expressions

MATH 6 | LESSON 11.7 | DISTRIBUTIVE PROPERTY & ALGEBRAIC EXPRESSIONS

9

I Do: Simplifying Expressions

MATH 6 | LESSON 11.7 | DISTRIBUTIVE PROPERTY & ALGEBRAIC EXPRESSIONS

10

I Do: Simplifying Expressions

MATH 6 | LESSON 11.7 | DISTRIBUTIVE PROPERTY & ALGEBRAIC EXPRESSIONS

11

I Do: Simplifying Expressions

MATH 6 | LESSON 11.7 | DISTRIBUTIVE PROPERTY & ALGEBRAIC EXPRESSIONS

13

You Do: Simplifying Expressions

Work on the provided
worksheet. Simplify the
expressions.

When you have all 5 done,
check your answers with
another student that is
completed with theirs too!

Order to Simplify:

1.) Distribute.
2.) Combine Like Terms.
3.) Rewrite final expression.

Topic 5 Test Review

Algebraic Expressions

The 4 Properties

• Rewriting Subtraction

• Commutative Property of Addition and Multiplication

• Associative Property of Addition and Multiplication

• Distributive Property

Rewriting Subtraction

• Subtraction is the same as adding the opposite

• Example: 8x - 3 = 8x + (-3)

• Example: 2f - (-6m) = 2f + 6m

• 
  

Commutative Property of Addition and Multiplication

• Changing the ORDER of the numbers does not affect the answer when adding or multiplying

• Example: 11b + 7a = 7a + 11b

• Example: 2 x 12 x 5 = 2 x 5 x 12

Accociative Property of Addition and Multiplication

• Changing the GROUPING of the numbers does not affect the answer when adding or multiplying

• Example: 3 + (7 + 29) = (3 + 7) + 29

Distributive Property

• This property combines addition and subtraction with multiplication. It means "to give out"

• Example: 4(3x + 7) = 12x + 28

Multiple Choice

3(w + 4) = 3w + 12 is an example of...

• Rewriting Subtraction

• Distributive Property

• Commutative Property

• Associative Property

Multiple Choice

Which is an example of the commutative property of addition?

• 2 + 3 = 3 + 2

• 3k - 7 = 3k + (-7)

• 10(5t + 7) = 50t + 70

• (2 + 3) + 4 = 2 + (3 + 4)

Multiple Choice

(5 + 3) + 2 = 5 + (3 + 2)

• Commutative  Addition
• Commutative Multiplication
• Associative Addition
• Associative Multiplication

Multiple Choice

Rewrite the subtraction problem correctly

-5 - 5 =

• -5 + -5

• -5 + 5

• 5 + -5

• 5 + 5

Evaluating Expressions

Expressions have 3 parts (numbers, variables, and operating symbols).

Example: 23 - m

Expressions cannot be solved unless given the value of the variable. When this is done, you can evaluate (solve) the expression.

Example: 23 - m; Let m = 25

23 - 25 = -2

Multiple Choice

Evaluate 4y if y = 3

• 7

• 12

• 43

• 1

Multiple Choice

Evaluate 2a + 4b

if a = 10 and b = 6

• 20

• 24

• 44

• 4

Multiple Choice

Evaluate when a = 15:

2(a - 5) + 2

• 22

• 27

• 14

• 7

Simplifying Expressions

You can simplify expressions by combining like terms. Doing this creates equivalent (equal) expressions.

Examples:

4p + 7 + 3p = 7p + 7

(-5 + 4x) + (-6x + 7) = -2x + 2

(8y - 10) - (-12y + 5) = 20y - 15

Multiple Choice

4a + 9 + a

• 5a + 9

• 14a

• 3a + 9

• 5a - 9

Multiple Choice

(x-1) + (2x+ 3)

• 3x + 2

• 2x² + 4

• 3x + (-2)

• 2x + 2

Multiple Choice

Find the difference:

(8 - u) - (5u + 1)

• 6u + 7

• -4u + 7

• -6u + 7

• 4u - 7

Poll

I feel this review was....

• Very helpful and I'm going to crush the test!

• Pretty helpful and I'm confident I'll do well on the test

• Somewhat helpful and I think I understand the material a little better

• confusing and I need a little more practice

Multiple Choice

Simplify the expression:
4(x - 3) + 12

• 4x - 12
• 4x 
• 4x - 3

Multiple Choice

13 + 4(2x + 5) 

• 13 + 8x
• 8x + 33
• 8x + 20 

Multiple Choice

The property where if the order of addends changes, the sum stays the same. 

• Identity Property
• Commutative Property 
• Associative Property
• Distributive Property

Multiple Choice

5 x (7 + 9) = (5 x 7) + (5 x 9)

• Distributive Property
• Associative Property
• Commutative Property
• Multiplying Property

Multiple Choice

Simplify the expression:
6 + 2(7x - 3) 

• 12 + 7x
• 14x
• 14x + 3
• 9 + 7x

Multiple Choice

A coefficient is __________.

• the variable
• a constant
• an exponent
• the number that comes before the variable

Multiple Choice

Simplify by combining like terms:
5a + 2b - 3a + 4

• 8a + 2b + 4
• 2a + 2b + 4
• 8ab
• 4ab + 4

Multiple Choice

A constant term has ______.

• no exponents
• no variables
• no numbers
• no letters

Multiple Choice

A variable can be _______?

• Any number

• Any letter of the alphabet

• only X

• only 1

Multiple Choice

Simplify: x + 3x + 6x + x

• 9x

• 11x

• 2x + 9x

• Can't be simplified

Multiple Choice

3x²-x+2-5x²+8x-5

• 8x²+9x+7
• -2x²+7x-3
• 2x²+7x-3
• 5x²-3

Multiple Choice

Simplify: $$7y^2\ -5y\ +\ 9y\ -\ 5y^2$$  

• $$6y^{2\ }$$  

• $$2y^{2\ }+\ 4y\$$  

• $$12y^{2\ }+\ 14y$$  

• Can't be simplified

Multiple Choice

–4d⁸ – 3 + 5d⁴– 8d⁸ + 7

• 4 + 5d⁴ - 12d⁸
• 4 + 5d⁴ - 4d⁸
• 4 - 5d⁴ - 12d⁸

Multiple Choice

Which expression is equivalent to
v + v + v + v + v?

• 5v
• v⁵
• v + 5
• v5

Multiple Choice

Simplify: 4k + 6k - 3k + 3s - s

• 13k + 3s

• 7k + 2s

• 7k + 4s

• Can't be simplified

Fill in the Blank

$$2\cdot\left(45+9\right)=\left(2\cdot45\right)+\left(2\cdot9\right)$$  This is an example of the ___________ property

Fill in the Blank

In the _________ property, the parenthesis can be moved

Multiple Choice

Rewrite using distributive property and GCF.  
24 + 30

• 6(4+5)
• 8(3+4)
• 6(4) + 6(2)
• 6x2+5

Multiple Choice

Factor 6x+20

• 2(x+10)
• 6(x+14)
• 2(x-5)
• 2(3x+10)

Multiple Choice

Simplify the following expression:
-8 (5b + 2) -7 (b - 5)

• -33b + 19
• -47b² +  21
• 33b - 19
• -47b + 19

Multiple Choice

Evaluate the expression

[(12 ÷ 2) - 4] + (8 x 2)

• 20

• 17

• 16

• 18

Multiple Choice

Evaluate the expression: 5a + b for a= 6 and b= 3

• 33

• 36

• 30

• 59

Multiple Choice

Simplify

$$\frac{15-3}{2\left(2\right)}-8$$  

• -5

• 1

• 5

• 11

Multiple Choice

7 more than a number b

• 7-b

• b+7

• b-7

• 7b

Multiple Choice

the quotient of a number n and 15

• $$\frac{n}{15}$$  

• n-15

• 15n

• $$\frac{15}{n}$$   

Multiple Choice

15 less than b

• 15-b

• b-15

• 15b

• $$15^2$$  

Multiple Choice

Identify the term(s) in this expression? 3x + 12 + x

• 3x

• 12

• x

• all of the above

Multiple Choice

Identify the like terms in this expression? 6n - 3n - 3 + n

• 6n, 3n, n

• -3n, -3

• 6n, -3n, n

• 6n, -3n, -3, n

Multiple Choice

Identify the coefficients in this expression. 4 + 3x + 5x

• 3x, 5x

• 4, 3x, 5x

• 3, 5

• x

Multiple Choice

Identify the constants in this expression. 8 - n + 5 - 2n

• 8, 5

• 8, -n, 5, -2n

• -n,-2n

• -2n

Multiple Choice

Simplify a + a + a + a

• a + 4

• 4a

• a to the fourth power

• 4a + 4

Multiple Choice

Simplify x + y + y + x+ y

• 2 + 3

• x + y

• 2x + 3y

• 5xy

Multiple Choice

Simplify 3x - 5x

• 2x

• 8x

• -2x

• 15x²

Multiple Choice

Simplify the expression: 3x + 2x

• 5x
• x
• 6x
• 5

Multiple Choice

Simplify the expression: 2x + 1 + 7x 

• 10x
• 10
• 9x + 1
• 9 + 1x

Multiple Choice

Simplify the expression:

5a + 2b - 3a + 4

• 8a + 2b + 4

• 2a + 2b + 4

• 8ab

• 4ab + 4

Multiple Choice

2 (4X - 7)

• 8x-14

• 8x-7

• 6x+7

• 8x+14

Multiple Choice

-4(-4d - 5)

• -16d+20
• 16+20
• 16d+20
• 16s-20

Multiple Choice

Find (2x + 3) + (x + 4)

• 2x + x
• 12 + 3x
• 2x² + 12
• 3x + 7

Multiple Choice

(3x + 5) + (2x + 3)

• 6x + 15
• 6x + 8
• 5x + 8
• 5x + 15

Expressions Unit Test Review

​

Content

• Identify parts of an algebraic expression

• Apply math properties to generate equivalent expressions

• Translate algebraic expressions

• Simplify algebraic expressions

• Evaluate algebraic expressions

Key Points to Remember

• In algebra, we normally do not write the multiplication sign between a number and a variable. For example, we write 

  4×a as 4𝑎.

• In algebra, we normally do not write down the plus sign in front of the very first term.

• In algebra, we normally do not write down the number 1 if it is the coefficient of a variable.

• When there are constants in an expression, treat them as like terms.

Types of Expressions

• Numerical expression: an expression that contains only numbers and operations.

• Algebraic expression: an expression that contains variables, numbers, and operations

Parts of an Algebraic Expression

-An algebraic expression is a mathematical statement that contains a combination of numbers, symbols, variables and mathematical operators. It does not have an equals sign.

-Terms are always separated by addition and subtraction signs not multiplication and division signs.

Multiple Choice

A ______________ is a term without a variable. It can have a negative value (if it has a minus sign in front of it) or a positive value (if it has a plus sign or no sign in front of it).

• constant

• coefficient

• variable

• term

Multiple Choice

The _______________ is the number (factor) being multiplied by the variable. It can have a negative value (if it has a minus sign in front of it) or a positive value (if it has a plus sign or no sign in front of it).

• coefficient

• constant

• variable

• term

Multiple Choice

A _________ can be a single number (positive or negative), or a variable, or one or more numbers and variables that are being multiplied together.

• variable

• term

• constant

• coefficient

Multiple Choice

A ___________ is a symbol used to represent a number in an expression. It is usually a letter of the alphabet.

• constant

• coefficient

• term

• variable

Multiple Choice

7n - 4b + 2y - 59

How many terms are in this expression?

• 4

• 3

• 8

• 6

Multiple Choice

7n - 4b + 2y - 59

What term is the constant in the expression?

• 7n

• -4b

• 2y

• -59

Multiple Choice

7n - 4b + 2y - 59

How many positive coefficients are in the expression?

• 2

• 3

• 1

• 4

Multiple Choice

7n - 4b + 2y - 59

How many negative coefficients are in the expression?

• 4

• 3

• 2

• 1

Multiple Choice

7n - 4b + 2y - 59

What are the variables in the expressions?

• n, -b, y

• -n, -b, -y

• n, b, y

Equivalent Expressions

-have the same value

-may not contain the same numbers

-are created using math properties

Multiple Select

Which expressions are equivalent to

7x + 9 ?

• 3x + 9 - 4x

• 3x + 9 + 4x

• 6 + 8x - x + 3

• 9x + 4 -2x + 5

Multiple Select

Which expressions are equivalent to 24x -18?

• 6(4x −3)

• 6

• 4(6x – 4)

• 2(12x − 9)

Multiple Select

Which expressions are equivalent to

6y + 2b?

• 2b + 6y

• 3b + b + 6y

• 5b + 3y - 3b + 3y

• 9y + 2b - 4y

Translate words to Algebraic Expressions

Expressions can be translated from words to algebraic expressions by identifying key words that indicate operations and order of the terms.

Multiple Choice

the quotient of a number and thirty-six

•  $\frac{36}{b}$  

•  $\frac{b}{36}$  

•  $36b$  

•  $b36$  

Multiple Choice

the product of a number and twenty-fix

• $a-25$

• $\frac{a}{25}$

• $a\ +\ 25$

• $25a$

Multiple Choice

eight less than a number

• $8-m$

• $8m$

• $m-8$

• $m\ +\ 8$

Multiple Choice

the sum of a number and nine

• $v\ +\ 9$

• $v-\ 9$

• $9v$

• $\frac{v}{9}$

Multiple Choice

three times the sum of a number and fifteen

• $3\left(\ x\ +\ 15\right)$

• $3x\left(\ x\ +\ 15\right)$

• $3\left(\ x\ -\ 15\right)$

• $3x\left(x-15\right)$

Multiple Choice

eight times a number minus four

• $8d\ +\ 4$

• $8\left(x-4\right)$

• $8d\ -\ 4$

• $8\left(x\ +\ 4\right)$

Simplifying Algebraic Expressions

To simplify an expression is to give it in its simplest form. We do this by collecting (combining) like terms using addition or subtraction.

Multiple Choice

Simplify the expression

10x – 8x + 2 + 10

• 18x + 12

• 2x + 12

• 2x + 8

• 30x

Multiple Choice

Simplify the expression

3a + 7 + 2(3 + a)

• 5a + 7

• 4a + 7

• 18a

• 5a + 13

Multiple Choice

Simplify the expression

2s + 10 – 7s – 8 + 3s – 7

• -2s - 5

• 2s - 5

• 37s

• 12s - 25

Evaluate Algebraic Expressions

The process of replacing the variables in an expression with the numerical values and simplifying 

Multiple Choice

Evaluate the expression if x = 5 and y = 2

• 15

• 5

• 57

• -5

Multiple Choice

Evaluate the expression if r = 5 and s = -3

• 14

• 11

• -14

• -11

Multiple Choice

Evaluate the expression if t= -10

• $-10\ \frac{2}{3}$

• -16

• $10\ \frac{2}{3}$

  
  

• 16

Multiple Choice

Evaluate the expression if 

 $z\ =-\frac{1}{2}$  

•  $-\frac{375}{8}$  

•  $47\ \frac{1}{8}$  

•  $-47\ \frac{1}{8}$  

•  $\frac{375}{8}$