Standard Review

Algebraic Expressions

MAFS.EE.1.2

Objective

• Write, read, and evaluate variable expressions

• Apply the order of operations on expression with variables, including those with exponents

• Translate an expression from it’s to an algebraic expression and vice versa 

• Identify parts of expressions using appropriate mathematical vocabulary.

Vocabulary

• Coefficient: the known number that is a factor of a variable term.

• Constant: a term that is a known number without variables.

• Variable: a letter that stands for an unknown number

• Term: a known number, a variable, or the product of a known number and variables

• Variable term: a term that includes variables

Multiple Choice

What is a variable?

• a term that includes a variable

• a letter that stands for an unknown number

• a term that is a known number without variables

Multiple Choice

What does the letter x stand for?

• a letter

• an unknown number

Multiple Choice

Which operation is represented by 2x?

• addition

• subtraction

• multiplication

• division

Multiple Choice

What do you call the result of multiplication?

• sum

• difference

• product

• quotient

Open Ended

Describe the expression 2x+5.

Open Ended

Claire says the expression  $$8x^3$$  has three terms: 8,x, and 3. Is she correct? Explain. 

Fill in the Blank

Write an expression with the same meaning as "subtract a number times 4 from 10." (Use x as a variable if needed)

Multiple Choice

How many terms are in 10-4x?

• 1

• 2

• 3

• 4

Fill in the Blank

What is the coefficient in the expression 10-4x?

Fill in the Blank

What is the constant in the expression 10-4x?

Multiple Choice

Write an expression with the same meaning as "the result of multiplying $$\frac{1}{2}$$  by a number, then subtracting 9."

• $$\left(\frac{1}{2}\cdot9\right)-x$$  

• $$\frac{1}{2}x-9$$  

• $$\frac{1}{2}-9x$$  

• $$\frac{1}{2}x+9$$  

Multiple Choice

Write an expression with the same meaning as "7 less than the square of a number."

• $$7-x^3$$

• $$x^3-7$$

• $$x^2-7$$

• $$7-x^2$$

Multiple Choice

Write an expression to represent "the sum of 3 and the quotient of a number divided by 6."

• $$3\div6$$

• $$\left(3+x\right)\div6$$

• $$3\div x\ +6$$

• $$3+\left(x\div6\right)$$

Multiple Choice

Martina is 3 inches less than twice as tall as her little brother. Write an expression for Martina's height.

• 3x-28

• 3-2x

• 2x-3

• 3x-2

Fill in the Blank

Martina is 3 inches less than twice as tall as her little brother. How tall is Martina if her little brother is 28 inches tall?

Algebraic Expressions

MAFS.EE.1.2

Objective

• Write, read, and evaluate variable expressions

• Apply the order of operations on expression with variables, including those with exponents

• Translate an expression from it’s to an algebraic expression and vice versa 

• Identify parts of expressions using appropriate mathematical vocabulary.

Vocabulary

• Coefficient: the known number that is a factor of a variable term.

• Constant: a term that is a known number without variables.

• Variable: a letter that stands for an unknown number

• Term: a known number, a variable, or the product of a known number and variables

• Variable term: a term that includes variables

Multiple Choice

What is a variable?

• a term that includes a variable

• a letter that stands for an unknown number

• a term that is a known number without variables

Multiple Choice

What does the letter x stand for?

• a letter

• an unknown number

Multiple Choice

Which operation is represented by 2x?

• addition

• subtraction

• multiplication

• division

Multiple Choice

What do you call the result of multiplication?

• sum

• difference

• product

• quotient

Open Ended

Describe the expression 2x+5.

Open Ended

Claire says the expression  $$8x^3$$  has three terms: 8,x, and 3. Is she correct? Explain. 

Fill in the Blank

Write an expression with the same meaning as "subtract a number times 4 from 10." (Use x as a variable if needed)

Multiple Choice

How many terms are in 10-4x?

• 1

• 2

• 3

• 4

Fill in the Blank

What is the coefficient in the expression 10-4x?

Fill in the Blank

What is the constant in the expression 10-4x?

Multiple Choice

Write an expression with the same meaning as "the result of multiplying $$\frac{1}{2}$$  by a number, then subtracting 9."

• $$\left(\frac{1}{2}\cdot9\right)-x$$  

• $$\frac{1}{2}x-9$$  

• $$\frac{1}{2}-9x$$  

• $$\frac{1}{2}x+9$$  

Multiple Choice

Write an expression with the same meaning as "7 less than the square of a number."

• $$7-x^3$$

• $$x^3-7$$

• $$x^2-7$$

• $$7-x^2$$

Multiple Choice

Write an expression to represent "the sum of 3 and the quotient of a number divided by 6."

• $$3\div6$$

• $$\left(3+x\right)\div6$$

• $$3\div x\ +6$$

• $$3+\left(x\div6\right)$$

Multiple Choice

Martina is 3 inches less than twice as tall as her little brother. Write an expression for Martina's height.

• 3x-28

• 3-2x

• 2x-3

• 3x-2

Fill in the Blank

Martina is 3 inches less than twice as tall as her little brother. How tall is Martina if her little brother is 28 inches tall?

Multiple Choice

In the expression 3p + 4, what is the word for the number 3?

• term

• coefficient

• product

• sum

Multiple Choice

Which expression represents $$s$$   students split evenly into 5 groups?

• $$\frac{s}{5}$$

• $$5s$$  

• $$s+5$$  

• $$s-5$$  

Multiple Choice

Which phrase describes this expression?

6y + 4

• 6 times the sum of y and 4

• The product of 6 and 4 times y

• 4 more than the sum of 6 and y

• The product of 6 and y plus 4

Multiple Choice

How many terms does this expression have?

6a + 4b - 7

• 1

• 2

• 3

• 4

Multiple Select

Select ALL the phrases that represent 4m

• The product of 4 and m

• The quotient of 4 and m

• 4 times m

• 4 divided by m

• 4 groups of a quantity m

Multiple Choice

The answer to an addition problem

• product

• quotient

• sum

• difference

Multiple Choice

The answer to a subtraction problem

• product

• quotient

• sum

• difference

Multiple Choice

The answer to a multiplication problem

• product

• quotient

• sum

• difference

Multiple Choice

The answer to a division problem

• product

• quotient

• sum

• difference

Multiple Choice

In an algebraic expression, what is the word that describes the letter that stands for an unknown number?

• term

• coefficient

• variable

• product

Multiple Choice

Which of the following is NOT a correct way to write the product of 3 and 2?

• $$3\left(2\right)$$

• $$3\cdot2$$

• $$3^2$$

• $$3\times2$$

Multiple Choice

In the expression 3p + 4, what is the word for the letter p?

• term

• coefficient

• product

• variable

Multiple Choice

In the expression 3p + 4, what parts of the expression are 3p and 4?

• terms

• coefficient

• product

• sum

Multiple Choice

Solve 14 - cd when c = 2 and d = 7

• 0

• 28

• 16

• 23

Multiple Choice

$$Evaluate\ 4y\ if\ \ \ y=3$$  

• 7

• 12

Multiple Choice

5 times d and then increased by 8

• 5d + 8

• 5 + 8d

• 5 + 8 + d

• 5d-8

Multiple Choice

Which words could be used to describe the following expression? 6h

• addition

• subtraction

• multiplication

• division

Multiple Choice

The sum of n and 6

• n/6

• n X 6

• n + 6

• n - 6

Multiple Choice

5p + 4h - 2
Which are the variables? 

• 5p, 4h, 2
• 2
• p, h
• 5, 4

Multiple Choice

Evaluate 5y + 2 if       y = 3

• 17

• 19

• 55

• 13

Multiple Choice

4 less than x

• 4-x

• x-4

• 4x

• x+4

Multiple Choice

The sum of g and 13

• g+13

• 13-g

• 13 x g

• 13/g

Multiple Choice

w increased by 7

• w-7

• 7-w

• w + 7

• w/7

Multiple Choice

half of a

• a/3

• a/4

• a/2

• 2a

Multiple Choice

The quotient of n and 2

• n/2

• n x 2

• n + 2

• n - 2

Multiple Choice

the difference between m and 3

• mx3

• m+3

• m/3

• m-3

Multiple Choice

product of 35 and z

• 35 x z

• 35/z

• 35-z

• 35+z

Multiple Choice

3 x y

• Sum of 3 and y

• quotient of 3 and y

• Triple y

• Difference of 3 and y

Multiple Choice

a + 4

• product of a and 4

• difference of a and 4

• sum of a and 4

• quotient of a and 4

Multiple Choice

pizza has p slices for 4 student

how many per student

• p x 4

• p/4

• 4/p

• p - 4

Multiple Choice

monkey has 4 bananas and the zookeeper gives him f more

• 4 x f

• 4/f

• 4 - f

• 4 + f

Multiple Choice

A _____________ is a symbol, usually a letter that stands for a number. 

• coefficient
• algebraic expression
• variable
• term

Multiple Choice

A(n) __________________ consists of one or more numbers, variables, and operations. 

• numeric expression
• term
• variable
• algebraic expression

Multiple Choice

Which of the following is an example of an algebraic expression?

• 3(2 + 7) - 10
• 78 - 5 + 3
• 3x + 6y
• 8(3) - 5 + 2

Multiple Choice

Which of the following terms mean "addition"? 

• of
• how many
• total of
• shared

Multiple Choice

Which of the following terms means "subtract"?

• half
• less than
• double
• per

Multiple Choice

A(n) __________________ is a number and/or variable that is separated by addition or subtraction. 

• variable
• term
• coefficient
• expression

Multiple Choice

A ______________ is a number multiplied by a variable. 

• term
• variable
• coefficient
• numerical expression

Multiple Choice

Difference, minus, less than, and decreased by are all words that mean ______________.

• add
• subtract
• multiply
• divide

Multiple Choice

How many terms are in the given expression?
5² + 7n - 2f  

• 6
• 5
• 3
• 2

Multiple Choice

Which verbal expression represents the given expression? 
3(4-x)

• four minus the number x divided by 3
• three times four less than a number x
• three times the quantity x less than four
• four subtracted from x times three

Multiple Choice

Which expression represents: "the product of 3 and x increased by 5"? 

• 5x - 3
• 3 - 5x
• 3x + 5
• 3x(5)

Multiple Choice

Which expression represents "x cubed less than 7"? 

• x³ - 7
• 3x - 7
• 7 - x³
• 7 - 3x

Multiple Choice

What is the coefficient of the following expression? 
7c + 8

• c
• 7
• 8
• 1

Multiple Choice

What is the coefficient in the given expression:  2 - p + 4? 

• 0
• 4
• 2
• 1

Multiple Choice

Which set of words mean "exponent"? 

• cubed, squared, increased, twice
• cubed, twice, squared, double
• cubed, squared, power
• cubed, squared, twice, triple

Multiple Choice

"Twice the quantity of" means you will use ____________ to write the expression. 

• addition
• subtraction
• division
• parenthesis

Multiple Choice

The algebraic expression 6x - 4 can be written as which of the following? 

• x to the sixth power decreased by four
• The product of six and a number x decreased by four
• Six times a number x less than four
• four less than six

Multiple Choice

Kendra’s math teacher assigned math homework, but Kendra decided to do 5 extra problems. Which algebraic expression shows how many problems Kendra completed? 

• 5x
• x-5
• x+5
• x⁵

Multiple Choice

Andy and 4 friends equally shared some pizzas. How much did they each eat?

• 4x
• x / 4
• 5x
• x / 5

Multiple Choice

Carla and her sisters each earned 9 dollars for babysitting. Which expression represents how much Carla and her sister earned altogether?

• 9 + x
• 9x
• 2(9 + x)
• 2x + 9

Multiple Choice

A variable is . . .

• an awesome number

• a number represented by a letter

• an infinite number

• a number multiplied by another number

Multiple Choice

5p + 4h - 2
Which are the variables? 

• 5p, 4h, 2
• 2
• p, h
• 5, 4

Multiple Choice

What is 4x if x=5?

• 20
• 16
• 9
• 45

Multiple Choice

Evaluate 5y + 2 if       y = 3

• 17

• 19

• 55

• 13

Multiple Choice

6a - 3d
when a = 1, d = 2

• 3
• 12
• 1
• 0

Multiple Choice

Evaluate when a = 15:
2(a - 5) + 2

• 22
• 27
• 14
• 7

Multiple Choice

2x + 3 + x²; for x = 4

• 17
• 27
• 19
• 25

Multiple Choice

Evaluate if a = 2 and b = 8
6 + 7b - 3a

• -100
• 100
• -56
• 56

Multiple Choice

a² - b²
Evaluate if a=4 and b =2

• 4
• 20
• -4
• 12

Multiple Choice

Evaluate 7y - 3y for y=2

• 40
• 73
• 8
• 4

Multiple Choice

Evaluate the following expression when x = 4:

x² + 2x + 3

• 17

• 27

• 19

• 25

Multiple Choice

What are the variables in the following expression?

• 3, 4, 1 and 7
• z, x and y
• + and -
• 15

Multiple Choice

s² ÷ 2 when s = 4

• 30

• 16

• 8

• 18

Multiple Choice

6c - 1 + 5c when c = 2

• 31

• 41

• 51

• 21

Multiple Choice

$$Evaluate\ \frac{9x^2}{a}\ for\ a\ =\ 9\ and\ x\ =\ 3\$$  

• 6

• 9

• 81

• 27

Multiple Choice

b² + 4
when b = 3

• 10
• 12
• 13
• 11

Multiple Choice

Evaluate if if w = 6

• 14

• 13

• 10

• 26

Fill in the Blank

Evaluate each expression for the given value of the variable.

$$\frac{16}{g}$$  ; g = 4

Fill in the Blank

Evaluate 7c - 3 when c = 4

Fill in the Blank

$$n^2-6+3$$  when n = 5

Multiple Choice

2f + f

• 3f
• 2f
• f

Multiple Choice

Simplify the expression: 2x + 1 + 7x 

• 10x
• 10
• 9x + 1
• 9 + 1x

Multiple Choice

Simplify the expression: 7v + 2 + 12 + 2v

• 23
• 23v
• 9 + 14v
• 9v + 14

Multiple Choice

5x + 3y + 5 + 4x + 3y + y + 8

• 9x + 7y + 13
• 6x + 2y + 2
• 25x + 2y + 3
• x + 7y + 12

Multiple Choice

2(4 + 9w) 

• 8+9w
• 2+9
• 8+18w
• 2+9w

Multiple Choice

5(2x + 3)

• 10x + 3

• 10x + 15

• 25x

• 7x + 8

Multiple Choice

10( b + 3)

• 10b + 30

• 30b

• 10b + 3

• 10b - 3

Multiple Choice

Collect like terms: 
4y + 8d - 2y + 3d

• 11d + 6y
• 11d + 2y
• 6y + 5d

Multiple Choice

Simplify: 20n + 4 + 5 + 7n

• 36n

• 24n + 2n

• 27n + 9

• 24n + 12

Multiple Choice

y + 5x - 10

• coefficient 
• terms
• variables
• constant

Multiple Choice

3y + 5

• term 
• variable 
• coefficient
• constant

Multiple Choice

2x + 3y + 5x = 75

• coefficeient
• constant
• terms
• variables

Multiple Choice

Identify the property:

6 + (21 + 3) = (6 + 21) + 3

• Commutative Property

• Distributive Property

• Inverse Property

• Associative Property

Open Ended

Combine the Like Terms below

5x + 8 + 2x + 7

Open Ended

Combine the Like Terms below

-6x + 9 - 2x + 3

Open Ended

Simplify the expression by using the Distributive Property

2(x + 8)

Open Ended

Simplify the expression by using the Distributive Property

4(6 + 2x)

Open Ended

Simplify the expression by using the Distributive Property

-3(4x + 1)