Vocabulary
Vinculum
a symbol of inclusion such as a dividing line or a set of parentheses
Create an expression for the statement
I had 5 prayer cards, and I found 3 more
5 + 3
What are the mathematical operations?
add, subtract, multiply, divide
Solve
3 x 5 + 4
19
Write an expression for the statement
3 oranges, each one costs $1.25
3 x 1.25
Variable
an unknown value represented by a letter
Create an expression for the statement
I had 27 grapes and I ate 11 of them
27 - 11
What does each letter in PEMDAS stand for?
Parenthesis, exponents, multiplication, division, addition, subtraction
Solve
10 x (4 + 3)
70
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"
Expression
An expression is a collection of numbers, operation signs, and symbols that stand for a specific number
a part of an equation
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
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)
Solve
10 ÷ 2 x 5
25
Solve
(57 + 4) x 4 - 16
228
Steps 1 and 2: (61) x 4 = 244
Step 3: 244 - 16 = 228
Contrast terms and factors
factors: numbers multiplied
Create an expression for the statement
John, Jimmy, James and I all shared 12 apples, then I ate 2 of them
12 ÷ 4 - 2
or (12 ÷ 4) - 2
What is the rule for evaluating expressions with multiple instances of addition and subtraction? What order to we solve each instance
Left to right
Solve
23 + 5 x (4+3)
58
Solve
(17 - 6 ÷ 2) + 4 x 3
26
Steps 1 and 2: (17-3) = 14
Step 3: 14 + 12 = 26
What does it mean to transform an equation
AND
Give an example of an equation whose solution can be found by transforming.
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).
Create an expression for the statement
I have 5 oranges, I peel each one and break them into 8 slices, then give away 5 slices, eat 3 slices, and throw away 2 slices
5 x 8 - (5 + 3 + 2)
or (5 x 8) - (5 + 3 + 2)
or 5 x 8 - 5 + 3 + 2
What is the rule for evaluating expressions with multiple grouped expressions (sets of parentheses)?
for example: (5 + 4 x 8) - (3 x 5 - 2)
Solve the grouped expressions on the inside first, then work your way out
(5 + 32) - (15 - 2)
37 - 13 = 24
Solve
78 + 6 x (4 + 32)
156
What is 32 as a power of 2?
2 x 2 x 2 x 2 x 2 = 32
25 = 32