Algebra I
Name _______________________
Study Guide 3: Equations
Test / Due date:
Solving Equations
Word Bank
both
constants
itself
Like
negative
no solution
denominator
many solutions
opposite
Distributive
dividing
positive
negative
Plug It In
solve
We’ve learned how to solve various types of equations and our goal is always to _______________ for the
variable, or, get it by _________________. Simplify ____________ sides of the equation by doing some, or all,
of these things:
 Use the _______________________ Property
 Combine _______________ Terms (CLT) [Remember: they must have the exact same variable part]
 “HULA” – get variables to one side and ___________________ (numbers) to the other.

Remember: do the __________________ of the sign of the term:
ADD if it is ______________________
SUBTRACT if it is ____________________
 Clear the number being multiplied by the variable by _____________________ it out.

Remember: if that number is ____________________, include the negative, too.
Curve balls!
Fractions? No problem, multiply both sides by the _________________________.
The sides do not equal eachother? Remember, sometimes there is ________ _________________________
The sides are exactly the same? Remember, sometimes there are ____________ ________________________
How do I know I’m right?
Check your solution: _____________ ____ ______!
Practice makes better!
Algebra I
Study Guide 3: Equations
Solve each equation, if possible.
Show a check of your solutions for the first and last problems:
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Algebra I
Study Guide 3: Equations
These geometry problems require algebra … good test questions (hint, hint):
Hint: a square has equal sides!
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Algebra I
Study Guide 3: Equations
Rates, Ratio & Proportion
Word Bank
comparison
key
cross – multiply
one
division
products
simplify
equal
Proportions
units
fraction
rate
ratio
word
1. What is the difference between a ________________ and a ____________?
•
A ratio is a _________________________ of two numbers by division, also called a
________________________!
•
A rate is a ratio, but it compares quantities measured in different ________________.
2. Unit Rates have a denominator of ____________, such as Miles per Hour or Dollars per Pound.
3. ______________________ are two fractions that are set __________________ to eachother.
They can be very useful for solving equations that involve ___________________, or fractions because you
simply _________________ - ___________________ and the answers, or cross __________________ equal
each other.
4. Proportions are also very useful for solving ____________ problems that compare different units.

Make a “_____” to be sure you put the right numbers in the same place in each fraction.

__________________ your final fraction so the numbers make sense for comparing.
Remember, small pizzas to large pizzas?
Try a few …
Key?
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Algebra I
Study Guide 3: Equations
Solve the proportion.
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Algebra I
Study Guide 3: Equations
Solving Percent Problems
Word Bank
denominator
dividing
fraction
like
multiply
Any _____________ can be turned in to a percent by simply ____________________ the numerator by the
_____________________. But, you have to remember to ___________________ by 100. Or, you can use
proportions: just remember to keep __________ units in the same place, either “on top” or “on bottom.”
a
b
=
p
100
Or, the way you guys know it:
=
Which is pretty cool!
Show me your skills!
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Algebra I
Study Guide 3: Equations
Transforming Formulas
Word Bank
multiplication
nothing
PROCESS
subtraction
variables
What is the difference between a formula and an equation? __________________! Remember, even
though there are multiple ______________________, the ____________________ is no different than
solving an equation for a variable. Simply divide if trying to undo _______________________, or add when
reversing _______________________, and vice versa. You’ve got this!
Solve for L:
Solve for h:
V = LWH
V =  r 2h
Solve for b:
Solve for y:
1
A = bh
2
4x+2y=8
You may use the back for notes or other problems you would like to have as a resource.
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