How do you solve for x in the following equation?
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Transcript of How do you solve for x in the following equation?
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How do you solve for x in the following equation?
ax + 2 = 5
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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.
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Let’s Review
3x + 2 = 8
variable
-2 -2
3x = 6
x = 2
13
13
x x
constants
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Core Lesson
y = mx + b
variables
parameters
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Core Lesson
ax + 3 = 7
variable
parameter
constants
-3 -3
ax = 4
+ 3 = 7 a x
1a
1a
x x
x = 4a
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A Common Mistake
Mistaking your variables for your constants. Make sure you know which
letters represent variables.
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In this lesson you have learned how to solve equations that have parameters by using additive and multiplicative
inverses.
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Guided Practice
Solve the following equation for x:
3x + b = 4
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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)
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Quick Quiz
Solve the following equation for x:
4 - ax = 12
Solve the following equation for x:
3x + 8 = b