Solve Linear equations in one variable

Contributed by:

Cherry Ann De Guzman Thu, Jun 16, 2022 02:41 AM UTC

solve linear equations in one variable, including those
for which the application of the distributive property is
necessary and for which variables are included on both
sides

2. A.5A Pt. 2
solve linear equations in one variable, including those
for which the application of the distributive property is
necessary and for which variables are included on both
sides

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5. Warm-Up: Solve for x

6. Warm-Up: Solve for x
1) 3.5
2) 3.2
3) 2.5

7. Distributive Property
The distributive property tells us how to solve
expressions in the form of a(b + c).
Ex: a(b+c) = (a x b) + (a x c)
You distribute the number outside the parentheses
to those inside.
Make sure to apply the outside number to all of the
terms inside the parentheses

8. Combining Like Terms
What are we distributing to the parentheses?
So, let’s rewrite it
There are three terms we can combine
6,-5, & 7

9. Combining Like Terms
1)Distribute
-5(x + 3) + 2x 2)Combine like terms

10. Solve for x
1) 4(8+x)=40
x=
2) 5(x+2)=55
x=
3) 2(2x+6)=24
x=

11. Solve for x
1) 4(8+x)=40
x=2
2) 5(x+2)=55
x=9
3) 2(2x+6)=24
x=3

12. I do
4 = 4(2x + 8) + 6x
Plug in answer
4 = 8x + 32 + 6x
4 = 4(2(-2) + 8) + 6(-2)
4= 14x + 32
4 = 4(-4 + 8) -12
-28 = 14x
4= -16+32-12
-2 = x
4 = 16 – 12
4=4

13. I do
15 = -3(4x + 5) + 13x Plug in answer
15 = -12x-15+13x 15 = -3(4(30) + 5) + 13(30)
15 = x-15 15 = -3(120+5) + 390
30 = x 15 = -3(125) +390
15 = -375 + 390
15 = 15

14. We do #1
What is the solution to 8x-3(2x-4) = 3(x-6)?
D.No solution

15. We do #1
What is the solution to 8x-3(2x-4) = 3(x-6)?
D.No solution

16. We do #2
-2(3x + 4) + 7x = -10

17. We do #2
-2(3x + 4) + 7x = -10
Answer: -2

18. We do #3
What is the solution to 4(y − 3) + 19 = 8(2y + 3) + 7?

19. We do #3
What is the solution to 4(y − 3) + 19 = 8(2y + 3) + 7?
Answer: -2

20. You do #1
What value of x makes the equation
-5x - (-7 - 4x) = -2(3x - 4) true?

21. You do #1
What value of x makes the equation -5x - (-7 - 4x) = -2(3x - 4) true?

22. You do #2
What is the solution to 0.3(12x - 16) = 0.4(12 - 3x)?
A. -2
B. 4
C. 2
D. -4

23. You do #2
What is the solution to 0.3(12x 16) = 0.4(12 3x)?
A. -2
B. 4
C. 2
D. -4

24. Distributive Property
The distributive property tells us how to solve
expressions in the form of a(b + c).
Ex: a(b+c) = (a x b) + (a x c)
You distribute the number outside the parentheses
to those inside.
Make sure to apply the outside number to all of the
terms inside the parentheses

25. If Time Allows #1
5x + 6 = 54 - 3x

26. If Time Allows
5x + 6 = 54 - 3x
Answer: 6

27. If Time Allows #2
11x + 5 = 31 - 2x

28. If Time Allows
11x + 5 = 31 - 2x
Answer: 2

29.

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