SAT Math : Order of Operations
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Example Questions
Example Question #31 : Arithmetic
There is multiplication and addition present. Remember PEMDAS. Multiplication comes first followed by addition.
Example Question #32 : Arithmetic
When evaluating the expression
what is the third operation that should be performed?
Addition
Multiplication
Division
Cubing
Subtraction
Multiplication
The order of operations is:
Exponents
Multiplication and division (left to right)
Addition and subtraction (left to right)
The first operation to be performed is the exponent (the cubing). The next two operations to be performed are the multiplication and the division; since the division is first when read left to right, this is performed second, and the multiplication is performed third.
Example Question #33 : Arithmetic
Consider the expression:
Suppose you know the value of each of the four variables. In which order do you work the operations in the expression?
Multiply, square, add, divide
Square, multiply, divide, add
Multiply, square, divide, add
Multiply, divide, square, add
Square, multiply, add, divide
Square, multiply, divide, add
The order of operations is as follows:
Exponents
Multiplication and division (left to right)
Addition and subtraction (left to right)
The expression has an exponentiation - a squaring - so this is done first. It also has a multiplication and a division - the multiplication is to the left, so it is done next, followed by the division. This leaves the addition for last.
Example Question #31 : How To Find Order Of Operations
Consider the expression:
Suppose you know the value of each of the four variables. In which order do you work the operations in the expression?
Multiply, square, add, divide
Square, add, multiply, divide
Add, multiply, square, divide
Add, square, multiply, divide
Multiply, add, square, divide
Add, square, multiply, divide
Any operation within parentheses is always done first - here, this is the addition.
Outside of this, the order of operations is as follows:
Exponents
Multiplication and division (left to right)
Addition and subtraction (left to right)
The expression has an exponentiation - a squaring - so this is done second. It also has a multiplication and a division - the multiplication is to the left, so it is done third, followed, finally, by the division.
Example Question #35 : Arithmetic
Consider the expression:
Suppose you know the value of each of the four variables. In which order do you work the operations in the expression?
Multiply, divide, add, square
Add, divide, square, multiply
Multiply, add, divide, square
Square, divide, multiply, add
Divide, add, square, multiply
Divide, add, square, multiply
Any operation within parentheses is always done first. However, here, there are two operations within the parentheses, addition and division.
The order of operations is:
Exponents
Multiplication and division (left to right)
Addition and subtraction (left to right)
Therefore, the division is worked first, then the addition.
This leaves the exponentiation - here, a squaring - and a multiplication. By the above order, the squaring is worked third, then, finally, the multiplication.
Example Question #36 : Arithmetic
When evaluating the expression
what is the last operation that should be performed?
Cubing
Addition
Multiplication
Division
Subtraction
Addition
The order of operations is:
Exponents
Multiplication and division (left to right)
Addition and subtraction (left to right)
Since there are no grouping symbols, and one of each operation, the addition and the subtraction will be the last two operations performed. When read left to right, the subtraction comes first, so the addition will be the last operation performed.
Example Question #37 : Arithmetic
When evaluating the expression
what is the third operation that should be performed?
Multiplication
Division
Addition
Subtraction
Cubing
Cubing
The order of operations states that the expressions in the parentheses must be evaluated first. the first two operations performed will be the division and the addition. This leaves the cubing - an exponentiation - the subtraction, and the multiplication.
After grouping symbols, the order of operations is:
Exponents
Multiplication and division (left to right)
Addition and subtraction (left to right)
The cubing will be performed next - and third overall.
Example Question #38 : Arithmetic
Solve:
To evaluate this expression, first simplify the quantity inside the parentheses and the exponent by order of operations.
Rewrite the expression.
Simplify the double negative. It will turn into a positive sign.
The answer is:
Example Question #38 : Order Of Operations
Solve:
Following the order of operations, we can simplify this expression.
Recall the order of operations:
PEMDAS
Parentheses, Exponents, Multiplication/Division, Addition/Subtraction. Perform these operations from left to right.
Example Question #921 : Sat Mathematics
Evaluate the expression and solve for x:
In order to find the solutions for x, you first need to simplify the equation and properly use the order of operations. The order of operations is PEMDAS- Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.
In this equation:
you have to do 
Secondly,
You are left with 
After you have simplified the equation, you can factor the equation.
Therefore the solutions are 
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