Vocabulary
Creating Expressions
Order of Operations
Evaluating Expressions
Extras
100
Vinculum
a symbol of inclusion such as a dividing line or a set of parentheses
100
Create an expression for the statement
I had 5 prayer cards, and I found 3 more
5 + 3
100
What are the mathematical operations?
add, subtract, multiply, divide
100
Solve
3 x 5 + 4
19
100
Write an expression for the statement
3 oranges, each one costs $1.25
3 x 1.25
200
Solution
a substitute for a value that makes an equation true
200
Create an expression for the statement
I had 27 grapes and I ate 11 of them
27 - 11
200
What does each letter in PEMDAS stand for?
Parenthesis, exponents, multiplication, division, addition, subtraction
200
Solve
10 x (4 + 3)
70
200
What is the order of the steps to evaluate the equation
15 - (37 + 8) ÷ 3
Parenthesis "37 plus 8"
Division "45 divided by 3"
Subtraction "15 minus 15"
300
Expression
An expression is a collection of numbers, operation signs, and symbols that stand for a specific number
a part of an equation
300
Create and expression for the statement
I had 12 cases of water with 24 bottles each, then I drank 5 bottles
12 x 24 - 5
or (12 x 24) - 5
300
What is the rule for evaluating expressions with multiple instances of addition and subtraction only? In what order to we solve?
for example 5 + 6 - 2 + 3
Left to right
(5) + (6) + (-2) + (3)
300
Solve
10 ÷ 2 x 5
25
300
Find the perimeter AND the area for the shape below:
Perimeter = 3 + 3 + 5 + 5
Perimeter = 19 cm
Area = 3 (5)
Area = 15 cm2
400
Contrast terms and factors
terms: numbers added or subtracted
factors: numbers multiplied
400
Create an expression for the statement
John, Jimmy, James and I all split 12 apples between us (equally), then I ate 2 of mine.
12 ÷ 4 - 2
or (12 ÷ 4) - 2
400
Which operation should be carried out FIRST?
(6 + 32)2
FIRST square the 3 to get 9
(then add the 6 and nine in the parentheses, then square the sum of 6 and nine).
400
Solve
23 + 5 x (4+3)
58
400
Write an expression for the perimeter of the shape below:
70 + 60 + 100 + 70 + x
or
300 + x
500
Define Transform
AND Give an example of an equation whose solution can be found by transforming.
AND Transform it to find the solution.
to perform the same operation on both sides of an equation.
3x = 15
divide both sides by three to find the solution (the value of x).
500
Create an expression for Cece's dog walking wages if:
Rosemarie makes $2 per dog.
Cece makes $13 more per dog than Rosemarie because Cece drives them to the house, attaches/unattaches the leashes, fills the food and water bowls, knows what to do if there's a dogmergency, and disarms/arms the alarm system.
Rosemarie wages: 2d
Cece wages: (2+13)d
500
Find an EXPRESSION for the difference between:
the product of factors 5 and 3
and
the sum of 4 and the quotient of the dividend ten and divisor 5
What is the expression equal to?
(5 x 3) - (4 + (10/5))
Subtract {4 + (10/5)} from (5 x 3)
Subtract (4 + 2) from (15)
15 - 6
The expression is equal to 9
500
Solve
78 + 6 x (4 + 32)
156
500
What is 32 as a power of 2?
2 x 2 x 2 x 2 x 2 = 32
25 = 32