order of operations
What is the first step in evaluating the expression 7+3×27+3×2
First step is to perform multiplication:
Write an expression for the sum of a number xx and 5.
The expression is x+5x+5.
What is the solution to the equation x+4=10x+4=10?
The solution is x=6x=6.
Evaluate the expression 5×(2+3)5×(2+3).
5×(2+3)=5×5=255×(2+3)=5×5=25.
How would you represent the product of 3 and a number yy?
The expression is 3y3y.
The value of yy is 44.
What does the acronym PEMDAS stand for?
Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Write an algebraic expression for the difference between 10 and a number zz.
The expression is 10−z10−z.
Solve for xx: 2x−3=72x−3=7.
Solve for xx: 2x−3=72x−3=7 gives 2x=102x=10 so x=5x=5.
Solve the expression 8+2×(3+1)8+2×(3+1).
8+2×(3+1)=8+2×4=8+8=16.
If you add 2.5 to 4 times a number nn, what is the expression?
The expression is 4n+2.54n+2.5.
What does it mean for an equation to be balanced?
An equation is balanced when both sides have the same value.
Evaluate: 12−2×(4+1)12−2×(4+1).
12−2×(4+1)=12−2×5=12−10=212−2×(4+1)=12−2×5=12−10=2.
Create an expression for the total of 8 and half of a number mm.
The expression is 8+12m8+21m.
If you have the equation 5+x=155+x=15, what is the value of xx?
The value of xx is 10 10.