how do you solve for x in the following equation?
DESCRIPTION
How do you solve for x in the following equation?. ax + 2 = 5. In this lesson you will learn how to solve equations where some of the coefficients are represented by letters by using additive and multiplicative inverses. constants. variable. 3x + 2 = 8. -2 -2. 1. 1. 3. 3. - PowerPoint PPT PresentationTRANSCRIPT
How do you solve for x in the following equation?
ax + 2 = 5
In this lesson you will learn how to solve equations where some of the coefficients are
represented by letters by using additive and multiplicative
inverses.
Let’s Review
3x + 2 = 8
variable
-2 -2
3x = 6
x = 2
13
13
x x
constants
Core Lesson
y = mx + b
variables
parameters
Core Lesson
ax + 3 = 7
variable
parameter
constants
-3 -3
ax = 4
+ 3 = 7 a x
1a
1a
x x
x = 4a
A Common Mistake
Mistaking your variables for your constants. Make sure you know which
letters represent variables.
In this lesson you have learned how to solve equations that have parameters by using additive and multiplicative
inverses.
Guided Practice
Solve the following equation for x:
3x + b = 4
Extension Activities
Solve the following equations for x by using inverse operations. What does your answer mean? Why did you get that answer? What situations will provide an answer like that? a(2x + 4) = 2a(x + 2) 3(2ax + 1) = 6(ax + 4)
Quick Quiz
Solve the following equation for x:
4 - ax = 12
Solve the following equation for x:
3x + 8 = b