Transcript Lesson 3.1 and 3.2

*
*Collect the like terms
1.2a + 4 + 3 = 2a + 7
2.8x -2x + 9 = 6x + 9
3.7z – 8 + 2 – 5z = 2z - 6
*
*Get the variable alone on one side of
the equation.
*Remember: What you do to one side
of the equals sign you must do to the
other to keep it balanced.
*
*If a number is added to the term containing x,
you subtract that number from both sides of
the equation.
*If a number is subtracted from the term
containing the variable, you add.
*If a number multiplies the variable, you divide.
*If a number divides the variable, you multiply.
*
y + 9 = 15
-9
y=6
-9
*
-4 = z + 3
-3
-7 = z
-3
*
a – 7 = -3
+ 7 +7
a=
4
*
1 −3
𝑧+ =
2
2
z
1
2
−4
=
2
1
2
= −2
*
*Solve for x
x + 5 = -7
x = -12
*Solve for x
x – 5.4 = 2.3
x = 7.7
*
*Two expressions are reciprocals if their
products are 1
*Flip the fraction
3
5
*Ex. The reciprocal of 5 is 3 .
*Ex. The reciprocal of 2 is
1
.
2
*
5x = 30
5
5
x=6
*
-6z = 42
-6
-6
z = -7
*
3
2
𝑣=
5
7
5 3
2 5
∙ 𝑣= ∙
3 5
7 3
10
𝑣=
21
*
𝑤
= −2
13
𝑤
13∙ = −2 ∙ 13
13
𝑤 = −26
*
*Solve for z
4z = 12
z=3
*Solve for t
𝑡
= 12
4
t = 48