Expressions

7th Grade Expressions

Ms. Randolph's Class

Equivalent Expressions

• Equivalent expressions are expressions that have the same value

• Ex. 1: 4m + 6 = 6 + 4m -- Commutative Property

• Ex. 2: 2 + (4m + 6y) = (2 + 4m) + 6y -- Associative Property

• Ex. 3: 5(m + 2) = 5m + 10 -- Distributive Property

• Ex. 4: 6m + 3m = 9m -- Combining like terms

Multiple Select

Which answer choices are equivalent to the following?

Select ALL that apply

4m + 8

• 8 + 4m

• 4 + 8m

• 4(m + 2)

• 4(m + 8)

• 3m + m + 8

Multiple Select

Which answer choices are equivalent to the following? Select ALL that apply

10m + 5(2 + 3m)

• 10m + 10

• 15m + 10

• 25m + 10

• 10 + 25m

• 45m

Multiple Choice

Which answer choice is equivalent to the following?

3(4p + 5) + 2(3p + 7)

• 12p + 15

• 15p + 21

• 18p + 16

• 18p + 29

Multiple Choice

Which answer choice is equivalent to the following?

2(4x + 1) + 3(5x + 8)

• 22x + 25

• 23x + 26

• 49x

• 8x + 2

• 24x + 21

Multiple Choice

Consider the expression shown below. Which answer choice is equivalent to this expression?

-3(4p + 3)

• -12p - 9

• -12p + 9

• -34p + 33

• -15p + 3

• -15p - 3

Multiple Choice

Consider the expression shown below. Which answer choice is equivalent?

-4(2x + 4)

• -8x +16

• -42x + 4

• -8x - 16

• -8x - 8

Multiple Choice

Consider the expression below. Which answer choice is equivalent? (Hint: Factor)

33m + 22

• m(33 + 22)

• 2(11m + 11)

• 11(3m +2)

• 10(3m + 2)

Multiple Choice

Consider the expression below. Which answer choice is equivalent?

 $\frac{1}{4}\left(16\ +\ 8p\right)$  

•  $\frac{1}{16}$  + 2p
  

•  $\frac{1}{2}\ +\ \frac{1}{4}p$  

• 8 + 2p
  

• 4 + 2p
  

Multiple Choice

Consider the expression below. Which answer choice is equivalent?

 $\frac{1}{10}\left(20\ +\ 10p\right)$  

• 2 + p
  

•  $\frac{1}{2}\ +\ \frac{1}{4}p$  

• 20 + 10p
  

• 4 + 2p
  

Parts of an Expression

• A variable is a symbol, usually a letter, used for an unknown value. For example: x, p, or y

• A constant is a number on its own; a fixed number. For example: 2, 100, or -3

• A coefficient is the number that is multiplied by the variable in an algebraic expression. For example: The 2 in 2p, the 5 in 5m, the y in -8y

• An expression is a mathematical phrase containing variables, numbers, and operations. For example: 2y + 5, 2(3p - 4) or 10 + 3p

Multiple Choice

What part of the expression is underlined?

3p + 5

• Expression

• Constant

• Variable

• Coefficient

Multiple Choice

What part of the expression is underlined?

3p + 5

• Expression

• Constant

• Variable

• Coefficient

Multiple Choice

What part of the expression is underlined?

3p + 5

• Expression

• Constant

• Variable

• Coefficient

Multiple Choice

What part of the expression is underlined?

3p + 5

• Expression

• Constant

• Variable

• Coefficient

Multiple Choice

What part of the expression is underlined?

11.1 - 81b

• Expression

• Constant

• Variable

• Coefficient

Multiple Choice

What part of the expression is underlined?

11.1 - 81b

• Expression

• Constant

• Variable

• Coefficient

Multiple Choice

What part of the expression is underlined?

11.1 - 81b

• Expression

• Constant

• Variable

• Coefficient

Multiple Choice

What part of the expression is underlined?

11.1 - 81b

• Expression

• Constant

• Variable

• Coefficient

Expression Clue Words

• Certain words in an expression tell us what math operation to do

• Words that tell us to add: altogether, increase, more, and, plus, sum, total, combine

• Words that tell us to subtract: difference, decrease, less, fewer, reduce, minus

• Words that tell us to multiply: per, times,

  product ,double (2x), triple (3x), quadruple (4x), each

• Words that tell us to divide: quotient, divided by, divided into, per, share, split, each

Multiple Choice

Which math operation would we use?

I spent $50 at Target. My friend spent $m. How much did we spend TOTAL?

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

Which math operation would we use?

I had triple the amount of students in my class as Ms. Peoples

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

Which math operation would we use?

There were 500 chairs in the school and they were divided into x classrooms

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

Which math operation would we use?

Mr. Rich had t textbooks. Mr. Weston had 10 fewer textbooks than Mr. Rich.

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

Which expression matches the following situation:

The librarian has 682 books and purchased b more

• 682- b

• 682b

• 682

  $\div$ b

• 682 + b

Multiple Choice

Which expression matches the following situation:

There are w windows on each of 8 buildings

• 8w

• 8 + w

• 8 - w

• 8

Multiple Choice

Which expression matches the following situation:

Mrs. Murphy had 83 rulers to divide between her students

• s + 83

•  $s\ \div\ 83$  

• 83s

• 83 - s

Multiple Choice

Which expression matches the following situation:

Milo earns $13 per hour at his job

• 13

• 13 - h

• 13 + h

• 13h

Multiple Choice

Which expression matches the following situation:

Jason made double the amount of money as Steven. If Steven made x dollars. How much did Jason make?

• 2 + x

• 2 - x

• x - 2

• 2x

Let's practice for the quiz!

Multiple Choice

Which answer pair is equivalent?

• 4m + 6 and 6m + 4

• 2(p - 8) and 2p -8

• 4(m + 5) and 20 + 4m

• 40 + 6m + 2m and 48m

Multiple Choice

Which answer pair is equivalent?

• 8p - 10 and 2(4p - 5)

• 5m + 2m + 6 and 13m

• 4(m + 5) and 4m + 5

• 21p + 3 and 3 + p

Multiple Choice

Which answer choice is equivalent to the following:

5(p + 3) + 2(p + 6)

• 7p + 15

• 7p + 27

• 5p + 15

• 8p + 26

Multiple Choice

Which answer choice is equivalent to the following:

7(2m + 4) + 3(2m - 1)

• 20m + 31

• 14m + 25

• 20m + 25

• 19m + 24

Multiple Choice

Which student factored 10m + 15 correctly?

Michael: 2(m + 12)

Jannice: 5(2m + 5)

Steven: 5(2m + 3)

Jocelyne: 3(3m + 5)

• Michael

• Jannice

• Steven

• Jocelyne

Multiple Choice

Which student factored 24p -18 correctly?

Michael: 6(4p - 3)

Jannice: 6(4p + 3)

Steven: 3(8p - 9)

Jocelyne: 2(12p - 7)

• Michael

• Jannice

• Steven

• Jocelyne

Multiple Choice

Which expression matches the phrase: The sum of a number and 10

• n - 10

• 10n

• n

• n + 10

Multiple Choice

Which expression matches the phrase: The product of a number and 5 plus 8

• 5 - n + 8

• 5n + 8

• 5n

• 5 + n + 8

Multiple Choice

Which answer choice is equivalent to

 $\frac{1}{8}\left(16p\ +\ 24\right)$  

•  $\frac{1}{2}p\ +\ \frac{1}{3}$  

• 2p + 3

• 16p + 24

• 2p + 8

Multiple Choice

Which answer choice is equivalent to

 $\frac{1}{5}\left(25m\ \ -\ \ 20\right)$  

• 5m - 4

•  $\frac{1}{5\ }m\ +\ \frac{1}{20}$  
  

• 8m - 5

• 4m - 5

Multiple Choice

Which answer choice is equivalent to the following: 5(x + 3) + 2 - 4x

• 9x + 17

• 5x + 15

• 3x + 8

• x + 17

Multiple Choice

Which answer choice is equivalent to the following: 2(5r + 5) + 2r - 3

• 12r + 5

• 12r + 7

• 10r + 5

• 12r + 13

Multiple Choice

Which answer choice is equivalent to -3(5m + 2)

• -15m + 6

• -12m + 3

• -15m - 6

• -18m - 3

Multiple Choice

Which answer choice is equivalent to -8(2m - 3)

• 15m + 24

• -12m - 22

• -16m - 24

• -16m + 24

Multiple Choice

We want to buy 8 pizzas for d dollars each plus leave a $12 tip. Which expression represents this?

• 8d -12

• 8 + d + 12

• 8d + 12

• 8 - d +12