Understanding Equations and Solutions
Is there a solution to this equation? d + 9 =35
d = 16 d = 22 d = 26 d = 36
d = 26
If 23 + 37 = 60 does 23 + 37 + 9 = 60 + 9
yes
Solve the equation
y - 12 = 89
y = 101
solve
d ÷ 2 = 108
d= 216
Solve
9=3/8y
y=24
Is this equation true or false if n = 8
n = 54 - 36
false
Which property of equality was used?
5m+ 4 -3 = 19 - 3
Subtraction Property of Equality
80 + r = 160
r = 80
solve
3x = 99
x = 33
Solve
13.27= t -24.45
t = 37.72
What is the solution to this equation? 49 = 7r
r = 3 r = 6 r = 7 r = 9
r = 7
Which property of Equality is used here?
3t = 20
3t ÷ 2 = 20 ÷ 2
Division Property of Equality
Solve the equation
z - 313 = 176
z = 489
In 12 weeks Joe earns $4500 doing yard work. He earns the same amount each week. Let m stand for the amount earned each week. How much does Joe make in one week? Write equation and solve.
12m= $4500 or 4,500 ÷ 12 = m
m = 375
Solve
1.8x = 40.14
x= 22.3
What is the solution to this equation?
2 4÷ h = 6
h = 1 h = 3 h = 6 h = 8
no solution given
no solution given
If r + 9 = 42, does r + 9 - 9 = 42 + 9
Explain your answer.
No, whatever you do to one side, you have to do the same thing to the other side.
solve the equation
150 = e + 42
e = 108
solve
x ÷ 3 = 294
x = 882
Solve
17.3 + v = 22.32
v = 5.02
When is an equation true?
When both sides are equal.
You start with the equation 8x = 24. Your friend changes the equation to 8x = 24 ÷ 4. How can you make your friends equation equivalent to the original equation?
divide 8x by 4
Is w = 8 the solution to the equation 5 + w =58?
Explain
No because 5 + 8 =13
solve
7s = 245
s = 35
Solve
r ÷ 5.5 = 18.2
r = 100.1