Basic Conceptsegory
What is the first step to isolate the variable in the equation (3x + 5 = 20)?
Subtract 5 from both sides.
Solve the equation (x + 7 = 12).
(x = 5).
If a shirt costs $20 and is on sale for (x), with a discount of $5, what equation would represent this?
(x = 20 - 5).
Solve for (x) in the equation (6x + 2 = 26)
(x = 4).
Define a multi-step equation
An equation that requires more than one operation to solve for the variable.
What is the solution to (5x - 3 = 12)?
(x = 3).
A movie ticket costs $12. If you buy (x) tickets and spend $60, what equation would you use to find (x)?
(12x = 60).
What is the solution to the equation (4(x + 5) = 32)?
(x = 3).
What is the solution to the equation (2(x + 3) = 14)?
(x=4)
If (2x + 4 = 16), what is the value of (x)?
(x = 6).
Solve for (x) in the equation reflecting savings: (100 = 20 + 5x).
(x = 16).
Solve for (x) in (2x - 7 = 3x + 5).
(x = -12).
Which property allows you to subtract the same number from both sides of an equation?
The Subtraction Property of Equality.
How would you solve the equation (3(x - 5) = 6)?
(x = 7)
If you earn $15 an hour and work (x) hours, how would you express the total earnings of $120?
(15x = 120).
In the equation (x/3 + 4 = 10), what is the value of (x)?
(x = 18).
In the equation (4(x - 2) = 20), what step should be performed first?
Divide both sides by 4.
What is the result of the equation (10 = 2y + 6)?
(y = 2)
A recipe requires (3x + 2) cups of flour for (x) servings. If there are 14 cups of flour available, what equation would you use?
(3x + 2 = 14).
Solve the equation (2(x - 4) + 6 = 2x).
Any real number (identity), since the equation simplifies to (0 = 0).