Solve one step equations
Addition Property of Equality
You can add the same amount to both sides of an equation and
the statement will remain true.
x = y
2+3= 5
+z = +z
+4 +4
x + z = y+ z
2+7= 9
Subtraction Property of Equality
You can subtract the same amount to both sides of an equation and
the statement will remain true.
x = y
–z = –z
x–z=y–z
4 + 7 = 11
–3 – 3
4+4= 8
Use inverse operations when isolating a variable.
Addition and subtraction are inverse operations,
which means that they “undo” each other.
EX 1) b – 7 = 2.4. Check your answer.
Check
b – 7 = 2.4
b – 7 = 24
?
+ 7 +7
9.4 – 7 = 2.4
b = 9.4
?
2.4 = 2.4 
EX2) -0.3 + y = 21
-0.3 + y = 21
+ 0.3
+ 0.3
Check your answer.
Check
– 0.3 + y = 21
?
y = 21.3
-0.3 + 21.3 = 21
?
21 = 21 
Multiplication Property of Equality
You can multiply the same amount to both sides of an equation and
the statement will remain true.
x z = yz
4 (2 + 3)= 5 (4)
x (z) = y(z)
20 = 20
Division Property of Equality
You can divide the same amount to both sides of an equation and
the statement will remain true.
x = y
z = z
x÷z = y÷z
5 + 7 = 12
3
3
4 = 4
Like addition and subtraction, multiplication and division
are inverse operations. They
“undo” each other.
•
÷
EX3) 51 = 17x. Check your answer.
Check
-51 = 17x
-51 = 17x
17 17
?
-51 = 17(-3)
?
-3 = x
-51 = -51 
EX4) 7.6 = 19y. Check your answer.
7.6 = 19y
19
19
0.4 = y
Check
7.6 = 19y
?
7.6 = 19(0.4)
?
7.6 = 7.6 
EX5) h = 13 Check your answer.
2
(2) h2 = 13 (2)
h = 26
EX6)
X
= 30 Check your answer.
1.5
X
(1.5) 1.5 = 30 (1.5)
x = 45
Check
h
2 = 13
26 ?
= 13
2
13 = 13 
Check
x
1.5 = 30
45 ?
= 30
1.5
?
30 = 30 
ASSIGNMENT
PAGE 515
1-6
IXL V3
Date _________________
Solve one step equations
Addition Property of Equality
You can ______ the ______ amount to _______ sides of an
equation and the statement will remain _____.
x = y
2+3= 5
Subtraction Property of Equality
You can __________the ______ amount to _______sides of an
equation and the statement will remain _________.
x = y
4 + 7 = 11
Use inverse operations when isolating a variable.
Addition and subtraction are inverse operations,
which means that they “undo” each other.
EX 1)
EX2)
Check your answer.
Check
Check your answer.
Check
Multiplication Property of Equality
You can __________ the ______ amount to ______ sides of an
equation and the statement will remain ______.
x = y
2+3= 5
Division Property of Equality
You can ________ the ______ amount to ______ sides of an
equation and the statement will remain ______.
x = y
5 + 7 = 12
Like addition and subtraction, multiplication and division
are inverse operations. They
“undo” each other.
EX3)
EX4)
Check your answer.
Check
Check your answer.
Check
EX5)
EX6)
Check your answer.
Check
Check your answer.
Check
The Giants scored 13 points in a game against Dallas. They
scored 7 points for a touchdown and the rest of their points for
field goals. How many points did they score on field goals?
Let f represent the field goal points.
7 points
7
+
+
field goal points =
f
=
points scored
13
7 + f = 13
Subtract 7 from both sides.
–7
–7
f= 6
They scored 6 points on field goals.
A basketball player scored 23 points during a game. Of those points, 3
were from 3-point goals and the remainder were 2 point goals. How
many points did he score with 2 point goals?
Let x equal the points scored by 2 point goals.
3 point goals + 2 point goals =
9
+
x
=
points scored
23
9 + x = 23
Subtract 9 from both sides.
–9
–9
x = 14
He scored 14 points from 2 point goals.