Variable Expression and READING Math Problems

Multiple Choice

What is the missing value of the table based on patterns?

• 25
• 50
• 75
• 27

Multiple Choice

Does this table represent a proportional relationship?

• Yes

• No

Multiple Choice

Which statement best describes the relationship between x and y in the table?

• Proportional
• Not Proportional

Multiple Choice

What is the constant of proportionality?

• $3
• $4
• $2
• $9

​Expressions Vocabulary review

Lesson 5-1: Algebraic Expressions

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

Which of the following answer choices is NOT an example of a variable?

• 8
• x
• u
• n

Multiple Choice

Which number is the coefficient?

$$3x-1$$  

• 3

• 3x

• x

• 1

Multiple Choice

Which number is the variable?

$$3x-1$$  

• 3

• 3x

• x

• 1

Draw

Circle all coefficients.

Underline the variables.

Evaluating Expressions

1. ​Substitute

2. ​Simplify using Order of Operations

Multiple Choice

Evaluate the expression if $$c=8\ \&\ d=-5$$  :

$$c-3$$  

• -8

• 5

• 3

• 13

Multiple Choice

Evaluate the expression if $$c=8\ \&\ d=-5$$  :

$$3\left(c+d\right)$$  

• -9

• -33

• 33

• 9

Multiple Choice

Evaluate the expression if $$c=8\ \&\ d=-5$$  :

$$2c-4d$$  

• 36

• -4

• -22

• -42

Multiple Choice

Evaluate the expression if $$c=8\ \&\ d=-5$$  :

$$2d^2+5d$$  

• -75

• -25

• 25

• 75

​Writing Expressions

​Key Concept:

We can use variables to help us write and solve word problems. We will see this in problems about weight, money and change over time as well as many other topics.​

Subject | Subject

Some text here about the topic of discussion

​Example: A tank containing 35 gallons of water is leaking at a rate of 1/4 gallons per minute.

Multiple Choice

Example: A tank containing 35 gallons of water is leaking at a rate of 1/4 gallons per minute.

What does the 35 mean in this situation?

• The 35 represents the rate of leakage.
• The 35 indicates the time until the tank is empty.
• The 35 is the total number of gallons of water in the tank.

• The 35 means the how much time it takes to empty the tank.

Multiple Choice

Example: A tank containing 35 gallons of water is leaking at a rate of 1/4 gallons per minute.

What does the 1/4 mean in this situation?

• The 1/4 means the tank is filling with water at a rate of one quarter of a gallon per minute.

• The 1/4 means the tank is leaking water at a rate of one quarter of a gallon per minute.

Multiple Choice

Example: A tank containing 35 gallons of water is leaking at a rate of 1/4 gallons per minute.

What are the units for 35?

35 _______

• gallons of water

• quarts
• gallons per minute

• liters

Multiple Choice

Example: A tank containing 35 gallons of water is leaking at a rate of 1/4 gallons per minute.

What are the units for 1/4?

1/4 _______

• gallons of water

• quarts
• gallons per minute

• liters

Multiple Choice

Example: A tank containing 35 gallons of water is leaking at a rate of 1/4 (or 0.25) gallons per minute.

If I want to find 35 / 0.25. What would be the units for it?

• gallons of water PER gallons per minute

• gallons per minute PER gallons of water

• liters

​Example: A tree that began at 6 feet and increases by 2 feet per year. Let y represent the number of years.

Multiple Choice

Example: A tree that began at 6 feet and increases by 2 feet per year. Let y represent the number of years.

What is the variable in this situation?

• 6

• 2

• y

• x

Multiple Choice

Example: A tree that began at 6 feet and increases by 2 feet per year. Let y represent the number of years.

What does the 6 represent in this situation?

• The initial height of the tree in feet.
• The number of branches on the tree.
• The amount of water the tree needs annually.
• The age of the tree in years.

Multiple Choice

Example: A tree that began at 6 feet and increases by 2 feet per year. Let y represent the number of years.

What does the 2 represent in this situation?

• The initial height of the tree.
• The age of the tree in years.
• The total height of the tree after 5 years.
• The annual growth rate of the tree.

Multiple Choice

Example: A tree that began at 6 feet and increases by 2 feet per year. Let y represent the number of years.

What are the units for 6?

• yards
• feet
• inches
• meters

Multiple Choice

Example: A tree that began at 6 feet and increases by 2 feet per year. Let y represent the number of years.

What are the units for 2?

• year per feet

• feet per year
• centimeters per year
• inches per year

​Example: The expression -120 + 13m represents a submarine that began at a depth of 120 feet below sea level and ascended at a rate of 13 feet per minute.

Multiple Choice

​Example: The expression -120 + 13m represents a submarine that began at a depth of 120 feet below sea level and ascended at a rate of 13 feet per minute.

What is the variable in this situation?

• 13
• m
• -120
• x

Multiple Choice

​Example: The expression -120 + 13m represents a submarine that began at a depth of 120 feet below sea level and ascended at a rate of 13 feet per minute.

What does -120 represent in this situation?

• -120 represents the initial depth of the submarine, 120 feet below sea level.
• -120 represents the total distance traveled by the submarine.
• -120 represents the speed of the submarine in feet per minute.
• -120 represents the maximum depth the submarine can reach.

Multiple Choice

​Example: The expression -120 + 13m represents a submarine that began at a depth of 120 feet below sea level and ascended at a rate of 13 feet per minute.

What does 13 represent in this situation?

• The total distance traveled by the submarine.
• The depth of the submarine in feet.
• The time taken to reach the surface in minutes.
• The rate of ascent of the submarine in feet per minute.

Multiple Choice

​Example: The expression -120 + 13m represents a submarine that began at a depth of 120 feet below sea level and ascended at a rate of 13 feet per minute.

What are the units for -120?

• meters
• feet per minute

• feet
• depth

Multiple Choice

​Example: The expression -120 + 13m represents a submarine that began at a depth of 120 feet below sea level and ascended at a rate of 13 feet per minute.

What are the units for 13?

• meters
• feet per minute

• feet
• depth

Multiple Choice

Nate has 6 fewer CDs than Emily.  If c represents the number of CDs Emily has, which expression tells how many CDs Nate has?

• 6-c
• 6+c
• c-6
• c+6

Multiple Choice

Jamal helped his grandmother plant her vegetable garden. He planted 3 rows of zucchini seeds and 4 rows of yellow squash seeds. Each row had s seeds. Which expression represents how many seeds Jamal planted in all?

• 3s + 4s

• 3s + 4

• 4s + 3

• 34s

Multiple Choice

If p represents the points Kia scored in a game, which expression shows how she tripled her point total?

• $$3p$$

• $$3\ -\ p$$

• $$3\ +\ p$$

• $$\frac{p}{3}$$

Algebraic Vocabulary

Equations

Expressions

Constants

Variables

Coefficients

Terms

​Expressions Vocabulary review

Equations

=

If it has an equal sign,

it is an equation!

3x + 5 = 17

​Definitions

Expression: Contains variables, numbers, and signs​

Constant: A term that is just a number​

Coefficient: Number beside a variable​​

Variables: A letter that represents an unknown number​

​

Expression

If there is + or - but no equal sign,

it is an expression!

3x + 5

​Definitions Continued

​

Operators: Math Symbols (+, -, •, ÷)

​

Terms: Separated by + or - sign

​

Like-Terms: Terms that have the same variable and/or exponent​

​

​

Constant

A number BY ITSELF

is a constant

23

Open Ended

How many terms are in the following expression?

4x - 2y + 3

Variable

If it is a letter,

then it is a variable

x, y, z

Multiple Choice

What are the variables in the following expression?

4x - 2y + 3

• x

• y

• x and y

• 3

Coefficient

If it is a number next to a letter,

it is a coefficient

3x

Fill in the Blanks

What is the constant term in the following expression?

4x - 2y + 3

Terms

If there is a + or - sign in between,

it is a term

3x + 11 - 7y

Fill in the Blanks

What is the variable in the following expression?

$5x^2\ +\ x\ +\ 7$  

Multiple Choice

In the expression 3x + 8, what is the coefficient?

• 8

• 3

• x

Multiple Choice

What is the 5 in the expressions below called?

$$5x^2\ +\ x\ +\ 7$$  

• coefficient

• contstant

• variable

• exponent

Multiple Choice

In the expression 9x + 4, what is the variable?

• 9

• x

• 4

Multiple Choice

What is the 2 in the expression below called?

$$5x^2\ +\ x\ +\ 7$$  

• coefficient

• contstant

• variable

• exponent

Multiple Choice

How many terms are there?

x - 3y + 88

• 1

• 2

• 3

Multiple Select

A number beside a variable is a coefficient.

• True

• False

Multiple Choice

In the expression

3x + 7 + y + 32,

what are the constants?

• x and y

• 7 and 32

• 3, 7 and 32

Multiple Choice

A number by itself beside a sign is a variable.

• True

• False

Lets try quizziz again!

Multiple Choice

A term is numbers separated by a "+" or "-" sign.

• True

• False

Multiple Choice

Like terms are terms that have different variables and/or exponents

• True

• False

Multiple Choice

An expression contains variables, signs, and numbers.

• True

• False