Vocabulary and Other Important Facts
Writing the Expression
Equation Word Problems
Inequalities
Inequality Word Problems
100

Angles that are across from each other and have the measure 

Vertical Angles

100
Two times a number 
2x
100

c=20d

The variable d represents the duration of the visit in hours, and the variable c represents the cost. What is the duration, in hours, of a plumber's visit that costs $20?

1 hour
100
5x<55
x<11
100

The school is having a fundraiser. They are running a carnival. Tickets sell for $0.50 each. They are planning on buying supplies for the carnival that cost $50. How many tickets must they sell to raise at least $200? 

500 ≤ t

200
the letter that represents an unknown quantity
Variable
200
four less than 5 times a number
5x-4
200

 ∠R and ∠W are adjacent. ∠R is 30° larger

than ∠W. Their sum is 70°. Find the angle

measures.

Angle R: 50

Angle W: 20

200
-2x<16

x>16

200

Mrs. Brown is ordering pictures of her new baby. There is a $20 sitting fee and each 5x7 portrait she orders is $4. She also has a coupon for $10 off. If she wants to spend less than $50, how many 5x7 portraits can she order?

p < 10

300
Angles that add up to 180 degrees
Supplementary Angles 
300
six less than half the number 
(x/2) -6
300

The senior class has 412 students. They are assigned to different homerooms. There are 28 students in the smallest homeroom and the remaining 12 homerooms have the same number of students. How many students are in each of the remaining 12 homerooms?

32 Students
300

6>10+ (x/4)

x< -16
300

Kimberly took her 6 nieces and nephews to a hockey game. She wants to buy them snacks. How much can she spend on snacks for each child if Kimberly wants to spend less than $33 in total?

m < 5.50

400
Angles that add up to 90 degrees
Complementary Angles
400

Clara had 40 books. Then she went to a book sale and bought b more books

b +40
400

The sum of two numbers is 52. One number is three less than quadruple the other number. What are the two numbers?

11 and 41
400
10+ (b/5)<10
b<0
400

The Community Swimming Pool charges a flat rate of $50 for a birthday party plus $2.50 for each person. Deborah can’t spend more than $100. How many friends can she invite?

f ≤ 20, she can invite 20 friends

500
Number without a variable
Constant
500

Collin has 73 trading cards. Pancho has t more trading cards than Collin.

73+t
500

Mrs. Smith rode the bus 720 miles in 3 days. On the first day, she traveled 3 times as far as she did on the second day. On the third day, she traveled 2 times as far as she did on the second day. How far did she travel each day? 

120 miles on the second day, 240 on the third and 360 on the first
500

-6v+6>-84

v<15
500

The technology department is having a fundraiser. They want to make at least $1000 by selling hoodies for $25. Each hoodie costs them $15. How many will they need to sell to reach their goal? 

100 ≤ ℎ