Symbol used to show a group of something
Parenthesis
Two parts:
What is the value for x in Tape Diagram A?
What is the value for x in Tape Diagram B?
Solve for x:
2x + 1 = 5
x = 2
Lin made goody bags for their 5 friends. Each bag had x amount of dollars. Lin added 3 more dollars to each bag. Lin had a total of 45$.
Write an equation to represent the story.
5(x + 3) = 45
Jada jogged at a constant speed. After 2 hours, she ran 3 miles. How many miles did Jada run in 1 hour?
1.5 miles
This type of math problem has an equal sign.
Equation
Two parts:
Draw a tape diagram or write an equation and then solve:
Wendy went to the store. She bought 3 boxes of cereal each weighing the same. If she spent $12 in total, how much was each box of cereal?
3x=12
x = 4
Solve for x:
3x + 2 = 11
x = 3
The skating rink charges each student $5 to enter plus a fee for skates. Today, $127 was collected for the 9 attendees. Write an equation that represents the story.
9(x+5)= 127
What is 50% of 130?
65
Letters used in expressions and equations that represent an unknown value
Variable
Two parts:
Draw a tape diagram or equation and then solve:
Charlie went on a hike. The total trail was 12 miles long. If he stopped to take a break after 5 miles, how many miles (m) does he have left?
12 = m + 5
m = 7
Solve for x.
2(x + 5) = 30
x = 10
Maya had 70 flyers to hang up around the school. She gave 7 flyers to each of four volunteers. Then she took the remaining flyers and divided them up equally between the four volunteers.
4(x+7) = 70
A bake sell sold 1 1/2 dozens cookies in 1/3 hours. How many dozens of cookies did they sell in 1 full hour?
4.5
The property used to describe the process used to go from 3(x + 5) to 3x + 15.
Distributive property
Two parts:
Write an equation and solve.
2 + x + 16 = 50
x = 32
Solve for y.
3(y + 2) = 24
y = 6
A school ordered 3 large boxes of board markers. After giving 15 markers to each of 3 teachers, there were 90 markers left. The diagram represents the situation. Write an equation.
3(x-15) = 90
What is 3/4 of 12?
9
What type of math uses numbers and symbols to formulate expressions and equations?
Algebra
Four parts:
Write an equation for each tape diagram and then solve each.
Solve for x.
60 = 10x - 10
x = 7
Ms. Prado gave a quiz in class today. Each student received the same amount of questions. To be petty she gave two students 2 extra questions each. In total she gave out 54 questions amongst 10 students. Write an equation that represents the story.
10x + 4 = 54
Molly went to the Nike store and saw they were having a 20% off sale! She picked up some shoes she liked very much. The original price was $90. How much would she pay after the sale?
$72