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Unit 3 Equations ~ Study Guide ** Use Calculator**
Evaluating Equations
1) Substitute the value of the number for
the variable.
2) Solve.
One Step Addition Equations and Check
1) Write the equation
2) Isolate the variable (get the variable so it
is on one side of the equal sign)
3) Solve
4) Check by replacing the variable with the
number (your answer) to be sure you are
correct.
One Step Subtraction Equations and Check
1) Write the equation
2) Isolate the variable (get the variable so it
is on one side of the equal sign)
3) Solve
4) Check by replacing the variable with the
number (your answer) to be sure you are
correct.
Addition/ Subtraction Equations with Decimals
1) Follow steps above for one step equations for
addition and subtraction
2) Process with decimals – use CALCULATOR!
Solving Multiplication Equations
1. Write the equation
2. Use inverse operation (division)
3. Solve for the value of the variable
4. Check using substitution
Which of the following numbers make the equation true?
15 + m = 75 { 5, 25, 60}
Solve
W + 27 = 81
Check
Solve
X – 27 = 42
Check
Solve
Z – 31.3 = 17.6
Solve
8b = 136
Solving Division Equations
1. Write the equation
2. Use inverse operation (multiplication)
3. Solve for the value of the variable
4. Check using substitution
Check
Solve
X = 12
9
Check
Solve
1.6y = 9.6
Check
Check
Problem Solving Strategies
(add/subtract/multiply/divide)
1) Read the problem (3x)
2) Identify the question
3) Find facts needed to create an equation
4) Write an equation
5) Solve and check- be sure your answer is
reasonable and makes sense
Eddie had 76 CDs until he won (w) more in a contest.
He now has 98 CDs in his collection. How many CDs did
Eddie win in the contest? Write, solve and check the
equation using inverse operations.
Bar Diagram – a bar diagram is a visual strategy
to help you write an equation
_______Total__________ (Total on top)
Drew sold lemonade and apples at the school fair. She
sold a total of $64. If she sold $21 in lemonade, how
many dollars worth of apples did she sell? Write an
equation, solve and check
Steven bicycled 126 miles in a month. He bicycled
17 miles less than Jessica. Write and solve an
equation to find how far Jessica went.
The Tech Club pools their money to buy robot parts.
They divide the parts among the 13 members. Each
gets 24 parts. Write an equation to find the total
number of parts. Then solve and check your equation.
Davis saves $15 each week that he earns baby
sitting. After 8 weeks, how much money will he
have saved? Write an equation, then solve and
check
Millie buys groceries each month totaling $524 each
month. What is the average amount she spends each
week?
Mrs. Strom jumped 6.5 meters. Mrs. Spatola
jumped 8.4 meters. About how much farther did
Mrs. Spatola jump than Mrs. Strom?
Write an expression to represent five times as
much money than Sue.