Uploaded by MARY RICO

One and Two Step Equations

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Unit
1
Algebra 1
Solve One and
Two Step
Equations
Lesson 1
Tutorial Video on YouTube at
Mandy’s Math World
Notes • Assignment
Tutorial Video
2
m
Name:____________________________________________ Date:________________Period:_________
What About this…
Two Step Equations
One Step Equations
Notes: Solve One & Two Step
Equations
1. 𝑥 + 15 = −3
2. 𝑦 + −16 = 9
3. −3𝑚 = −9
4.
Use INVERSE
OPERATIONS to solve!
𝑥
=7
5
For Fractions, multiply
by the RECIPROCAL
5.
1
𝑥 = −1.5
3
3
4
6. − 𝑥 = 9
𝑥
2
7. 2𝑥 + 9 = −7
8. − − 10 = 1
9. 12 = 4 − 𝑛
10. −5 + = −2
PEMDAS
1.
Undo ADDITION
& SUBTRACTION
first!
2.
Then undo
MULTIPLICATION
& DIVISION next!
There are assumed
parentheses in the
numerator.
You must “get rid” of
what is in the
denominator first.
In this case, undo the
division first, then treat
the numerator as a one
or two-step equation.
𝑥
3
11.
1
𝑥 + 6 = −3
3
12. 12 = 15 − 𝑥
13.
𝑥+7
= −3
5
14.
𝑦−3
=4
2
15.
𝑚+ −2
−3
16.
−7 =
= −2
3
4
5+𝑎
4
© mandy’s math world 2020-2021
Name:____________________________________________ Date:________________Period:_________
What About this…
Two Step Equations
One Step Equations
Notes: Solve One & Two Step
Equations
1. 𝑥 + 15 = −3
2. 𝑦 + −16 = 9
3. −3𝑚 = −9
4.
Use INVERSE
OPERATIONS to solve!
𝑥
=7
5
For Fractions, multiply
by the RECIPROCAL
5.
1
𝑥 = −1.5
3
3
4
6. − 𝑥 = 9
𝑥
2
7. 2𝑥 + 9 = −7
8. − − 10 = 1
9. 12 = 4 − 𝑛
10. −5 + = −2
PEMDAS
1.
Undo ADDITION
& SUBTRACTION
first!
2.
Then undo
MULTIPLICATION
& DIVISION next!
There are assumed
parentheses in the
numerator.
You must “get rid” of
what is in the
denominator first.
In this case, undo the
division first, then treat
the numerator as a one
or two-step equation.
𝑥
3
11.
1
𝑥 + 6 = −3
3
12. 12 = 15 − 𝑥
13.
𝑥+7
= −3
5
14.
𝑦−3
=4
2
15.
𝑚+ −2
−3
16.
−7 =
= −2
3
4
5+𝑎
4
© mandy’s math world 2020-2021
Name:____________________________________________ Date:________________Period:_________
A.__ Solve One & Two Step Equations
Solve each equation for the value of the variable. Show all work.
1. 𝑥 + 4 = 7
2. 𝑎 + −5 = −9
3. 16 + 𝑥 = −34
4. −8 + 𝑦 = 14
5. 𝑚 − −10 = −20
6.
𝑥
= 1.2
−5
𝑛
2
9.
1
𝑧 = −5
3
11. −4 = 𝑥
2
3
12. 3𝑏 =
14. −5 + 6𝑎 = 19
15. 25 = 9𝑥 − 2
17.
2
𝑦 + 12 = 15
7
18. −3 − 𝑥 = 9
19. 25 = −5 + 𝑚
20.
7
𝑥+
3
21. 5 = −3 − 𝑥
𝑚+7
= −5
3
23.
𝑥+3
5
=
2
2
7.
𝑥
= −2.5
4
1
4
10. − 𝑥 =
8. −22 =
5
2
13. 2𝑥 + 3 = −7
16.
1
𝑥 − 4 = −10
4
2
3
22.
−3 = 4
2
3
1
4
1
9
24. 6 =
−5+𝑦
−7
Name:____________________________________________ Date:________________Period:_________
What About this…
Two Step Equations
One Step Equations
Notes: Solve One & Two Step
Equations
1. 𝑥 + 15 = −3
2. 𝑦 + −16 = 9
3. −3𝑚 = −9
4.
Use INVERSE
OPERATIONS to solve!
𝑥
=7
5
For Fractions, multiply
by the RECIPROCAL
5.
1
𝑥 = −1.5
3
3
4
6. − 𝑥 = 9
𝑥
2
7. 2𝑥 + 9 = −7
8. − − 10 = 1
9. 12 = 4 − 𝑛
10. −5 + = −2
PEMDAS
1.
Undo ADDITION
& SUBTRACTION
first!
2.
Then undo
MULTIPLICATION
& DIVISION next!
There are assumed
parentheses in the
numerator.
You must “get rid” of
what is in the
denominator first.
In this case, undo the
division first, then treat
the numerator as a one
or two-step equation.
𝑥
3
11.
1
𝑥 + 6 = −3
3
12. 12 = 15 − 𝑥
13.
𝑥+7
= −3
5
14.
𝑦−3
=4
2
15.
𝑚+ −2
−3
16.
−7 =
= −2
3
4
5+𝑎
4
© mandy’s math world 2020-2021
Name:____________________________________________ Date:________________Period:_________
A.__ Solve One & Two Step Equations
Solve each equation for the value of the variable. Show all work.
1. 𝑥 + 4 = 7
2. 𝑎 + −5 = −9
3. 16 + 𝑥 = −34
4. −8 + 𝑦 = 14
5. 𝑚 − −10 = −20
6.
𝑥
= 1.2
−5
𝑛
2
9.
1
𝑧 = −5
3
11. −4 = 𝑥
2
3
12. 3𝑏 =
14. −5 + 6𝑎 = 19
15. 25 = 9𝑥 − 2
17.
2
𝑦 + 12 = 15
7
18. −3 − 𝑥 = 9
19. 25 = −5 + 𝑚
20.
7
𝑥+
3
21. 5 = −3 − 𝑥
𝑚+7
= −5
3
23.
𝑥+3
5
=
2
2
7.
𝑥
= −2.5
4
1
4
10. − 𝑥 =
8. −22 =
5
2
13. 2𝑥 + 3 = −7
16.
1
𝑥 − 4 = −10
4
2
3
22.
−3 = 4
2
3
1
4
1
9
24. 6 =
−5+𝑦
−7
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