Vocabulary
Word Problems
Distributive Property
Solving Equations
Inequalities
100

Number in front of a variable

Coefficient

100

A student has less than 20 pencils in their backpack

Let x = the number of pencils

x < 20

100

2(x+3)

2x+6

100

2x+3=11

Find x

x=4

100

2x+1>7

x>3

200

A letter representing a number

Variable

200

A movie ticket costs $8 each, and a student can spend no more than $40

Let x = number of tickets

 x<=5 

200

3(x+4)

3x+12
200

3x-4=11

Find x

x=5

200

3x-5<=10

x<=5

300

A number alone (No variable)

Constant

300

Each notebook costs $3, and a student has at least $15 to spend.

Let x = number of notebooks

x>=5

300

5(x+2)

5x+10

300

2x+5=x+9

x=4

300

2x+4 > x+9

x>5

400

A number that gets "flipped" 

Reciprocal 

400

A teacher is making groups of 4 students, and there are at most 28 students 

Let x = number of groups

x<=7

400

2(x+3)+4

2x+10

400

4(x+2)=20

x=3

400

3(x+1)<=12

x<=3

500

What mathematical property is represented here

Distributive Property

500

To participate in the annual sports day, Mr. Adams would like to have nine students in each group. But fewer than 54 students are in class today, so Mr. Adams is unable to make as many full groups as he wants. How many full groups can Mr. Adams make? Write the inequality that describes the situation. 

Let x = number of groups

x<6


500

3(2x+5)-3

6x+12

500

3(x+2)-4=2x+5

x=3

500

2(x+3)-4 > x+6

x>4