Expand/Factor the form
This is the expanded form of 5(x + 3).
What is 5x + 15?
In the equation 3(x + 4) = 21, the first step is to divide both sides by this number.
What is 3?
This property lets you change the order of addition, as in a + b = b + a.
What is the commutative property?
Expressing 8x + 12 as 4(2x + 3) by taking out the common factor is an example of this process.
What is factoring?
The coefficient in 7x + 9 is this number.
7
Expanding 6(x + 4) results in which expression?
6x + 24
To begin solving -4x + 5 = 13, subtract this number from both sides.
What is 5?
The distributive property shows that a(b + c) equals which expression?
What is ab + ac?
Applying the distributive property to 2(x + 7) means you should...
What is multiplying 2 with each term inside the parentheses?
In the expression 8x + 2, the number 2 is known as this term.
What is a constant?
Factor the following expression 6a-24
What is 6(a-4)
When expanding 4(x - 2), the first operation applied is this.
What is multiplication?
When solving equations, following the reverse order of operations means undoing actions in the reverse order of what standard math rule?
What is the order of operations?
To undo addition in an equation, which operation is used?
What is Subtraction?
In the expression -5x + 15, which number is the constant term?
What is 15?
Expanding -2(x - 4) results in which expression?
The equation 2x + 7 = 19 reminds us to remove this constant to isolate x.
What is subtracting 7?
Adding the same number to both sides of an equation to keep it balanced is an example of which property?
What is the addition property of equality?
The inverse of multiplying both sides of an equation by a number is which operation?
What is dividing by that number?
Changing the grouping of numbers in an addition problem without changing the sum demonstrates which property?
Associative property
Factoring 6x + 12 gives which equivalent expression?
What is 6(x + 2)?
For an equation in the form p(x + q) = r, the operation to undo the multiplication is to...
What is to divide by p?
Applying the distributive property to 2(x + 7) means you should...
What is multiplying 2 with each term inside the parentheses?
Combining 3x and 4x into 7x is an example of which process?
What is combining like terms?
In the equation p(x + q) = r, what is the role of p?
Multiplier