Solve one step equations. You can add the same amount to both sides of an equation and the statement...
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![Page 1: Solve one step equations. You can add the same amount to both sides of an equation and the statement will remain true. 2 + 3 = 5 + 4 2 + 7 = 9 x = y +](https://reader038.fdocuments.us/reader038/viewer/2022110403/56649e6c5503460f94b6a9fc/html5/thumbnails/1.jpg)
Solve one step equations
![Page 2: Solve one step equations. You can add the same amount to both sides of an equation and the statement will remain true. 2 + 3 = 5 + 4 2 + 7 = 9 x = y +](https://reader038.fdocuments.us/reader038/viewer/2022110403/56649e6c5503460f94b6a9fc/html5/thumbnails/2.jpg)
You can add the same amount to both sides of an equation and the statement will remain true.
2 + 3 = 5+ 4 + 4
2 + 7 = 9
x = y+ z = + z
x + z = y+ z
Addition Property of Equality
Subtraction Property of Equality
4 + 7 = 11 –3 – 3
4 + 4 = 8
You can subtract the same amount to both sides of an equation and the statement will remain true.
x = y– z = – z
x – z = y – z
![Page 3: Solve one step equations. You can add the same amount to both sides of an equation and the statement will remain true. 2 + 3 = 5 + 4 2 + 7 = 9 x = y +](https://reader038.fdocuments.us/reader038/viewer/2022110403/56649e6c5503460f94b6a9fc/html5/thumbnails/3.jpg)
Use inverse operations when isolating a variable. Addition and subtraction are inverse operations, which means that they “undo” each other.
![Page 4: Solve one step equations. You can add the same amount to both sides of an equation and the statement will remain true. 2 + 3 = 5 + 4 2 + 7 = 9 x = y +](https://reader038.fdocuments.us/reader038/viewer/2022110403/56649e6c5503460f94b6a9fc/html5/thumbnails/4.jpg)
EX 1) b – 7 = 2.4. Check your answer.
b – 7 = 2.4+ 7 +7
b = 9.4
Check
b – 7 = 24
9.4 – 7 = 2.4?
2.4 = 2.4?
EX2) -0.3 + y = 21 Check your answer.
-0.3 + y = 21+ 0.3 + 0.3
y = 21.3
Check– 0.3 + y = 21
-0.3 + 21.3 = 21?
21 = 21?
![Page 5: Solve one step equations. You can add the same amount to both sides of an equation and the statement will remain true. 2 + 3 = 5 + 4 2 + 7 = 9 x = y +](https://reader038.fdocuments.us/reader038/viewer/2022110403/56649e6c5503460f94b6a9fc/html5/thumbnails/5.jpg)
You can multiply the same amount to both sides of an equation and the statement will remain true.
2 + 3 = 5 4 ( ) (4)20 = 20
x = y z zx (z) = y(z)
Multiplication Property of Equality
Division Property of Equality
5 + 7 = 12 3 3
4 = 4
You can divide the same amount to both sides of an equation and the statement will remain true.
x = y z = z
x ÷ z = y ÷ z
![Page 6: Solve one step equations. You can add the same amount to both sides of an equation and the statement will remain true. 2 + 3 = 5 + 4 2 + 7 = 9 x = y +](https://reader038.fdocuments.us/reader038/viewer/2022110403/56649e6c5503460f94b6a9fc/html5/thumbnails/6.jpg)
Like addition and subtraction, multiplication and division are inverse operations. They “undo” each other.
•
÷
![Page 7: Solve one step equations. You can add the same amount to both sides of an equation and the statement will remain true. 2 + 3 = 5 + 4 2 + 7 = 9 x = y +](https://reader038.fdocuments.us/reader038/viewer/2022110403/56649e6c5503460f94b6a9fc/html5/thumbnails/7.jpg)
EX3) 51 = 17x. Check your answer.
17 17
-3 = x
Check-51 = 17x-51 = 17(-3)
?
-51 = -51?
7.6 = 19y19 19
0.4 = y
Check7.6 = 19y7.6 = 19(0.4)
?
7.6 = 7.6?
7.6 = 19y. Check your answer.
-51 = 17x
EX4)
![Page 8: Solve one step equations. You can add the same amount to both sides of an equation and the statement will remain true. 2 + 3 = 5 + 4 2 + 7 = 9 x = y +](https://reader038.fdocuments.us/reader038/viewer/2022110403/56649e6c5503460f94b6a9fc/html5/thumbnails/8.jpg)
EX5) = 13 Check your answer. h2
h2 = 13(2)
h = 26
Checkh2 = 13
13 = 13
262
?= 13
= 30 Check your answer.
X 1.5 = 30(1.5)
x = 45
Check
x1.5 = 30
30 = 30?
45 1.5
? = 30
X 1.5
(2)
EX6)
(1.5)
![Page 9: Solve one step equations. You can add the same amount to both sides of an equation and the statement will remain true. 2 + 3 = 5 + 4 2 + 7 = 9 x = y +](https://reader038.fdocuments.us/reader038/viewer/2022110403/56649e6c5503460f94b6a9fc/html5/thumbnails/9.jpg)
ASSIGNMENTPAGE 515
1-6IXL V3
![Page 10: Solve one step equations. You can add the same amount to both sides of an equation and the statement will remain true. 2 + 3 = 5 + 4 2 + 7 = 9 x = y +](https://reader038.fdocuments.us/reader038/viewer/2022110403/56649e6c5503460f94b6a9fc/html5/thumbnails/10.jpg)
Solve one step equations
Date _________________
![Page 11: Solve one step equations. You can add the same amount to both sides of an equation and the statement will remain true. 2 + 3 = 5 + 4 2 + 7 = 9 x = y +](https://reader038.fdocuments.us/reader038/viewer/2022110403/56649e6c5503460f94b6a9fc/html5/thumbnails/11.jpg)
You can ______ the ______ amount to _______ sides of an equation and the statement will remain _____.
2 + 3 = 5x = y
Addition Property of Equality
Subtraction Property of Equality
4 + 7 = 11
You can __________the ______ amount to _______sides of an equation and the statement will remain _________.
x = y
![Page 12: Solve one step equations. You can add the same amount to both sides of an equation and the statement will remain true. 2 + 3 = 5 + 4 2 + 7 = 9 x = y +](https://reader038.fdocuments.us/reader038/viewer/2022110403/56649e6c5503460f94b6a9fc/html5/thumbnails/12.jpg)
Use inverse operations when isolating a variable. Addition and subtraction are inverse operations, which means that they “undo” each other.
![Page 13: Solve one step equations. You can add the same amount to both sides of an equation and the statement will remain true. 2 + 3 = 5 + 4 2 + 7 = 9 x = y +](https://reader038.fdocuments.us/reader038/viewer/2022110403/56649e6c5503460f94b6a9fc/html5/thumbnails/13.jpg)
EX 1) Check your answer.Check
EX2) Check your answer.
Check
![Page 14: Solve one step equations. You can add the same amount to both sides of an equation and the statement will remain true. 2 + 3 = 5 + 4 2 + 7 = 9 x = y +](https://reader038.fdocuments.us/reader038/viewer/2022110403/56649e6c5503460f94b6a9fc/html5/thumbnails/14.jpg)
You can __________ the ______ amount to ______ sides of an equation and the statement will remain ______.
2 + 3 = 5x = y
Multiplication Property of Equality
Division Property of Equality
5 + 7 = 12
You can ________ the ______ amount to ______ sides of an equation and the statement will remain ______.
x = y
![Page 15: Solve one step equations. You can add the same amount to both sides of an equation and the statement will remain true. 2 + 3 = 5 + 4 2 + 7 = 9 x = y +](https://reader038.fdocuments.us/reader038/viewer/2022110403/56649e6c5503460f94b6a9fc/html5/thumbnails/15.jpg)
Like addition and subtraction, multiplication and division are inverse operations. They “undo” each other.
![Page 16: Solve one step equations. You can add the same amount to both sides of an equation and the statement will remain true. 2 + 3 = 5 + 4 2 + 7 = 9 x = y +](https://reader038.fdocuments.us/reader038/viewer/2022110403/56649e6c5503460f94b6a9fc/html5/thumbnails/16.jpg)
EX3) Check your answer.Check
Check
Check your answer.EX4)
![Page 17: Solve one step equations. You can add the same amount to both sides of an equation and the statement will remain true. 2 + 3 = 5 + 4 2 + 7 = 9 x = y +](https://reader038.fdocuments.us/reader038/viewer/2022110403/56649e6c5503460f94b6a9fc/html5/thumbnails/17.jpg)
EX5) Check your answer. Check
Check your answer. EX6)
Check
![Page 18: Solve one step equations. You can add the same amount to both sides of an equation and the statement will remain true. 2 + 3 = 5 + 4 2 + 7 = 9 x = y +](https://reader038.fdocuments.us/reader038/viewer/2022110403/56649e6c5503460f94b6a9fc/html5/thumbnails/18.jpg)
The Giants scored 13 points in a game against Dallas. They scored 7 points for a touchdown and the rest of their points for field goals. How many points did they score on field goals?
Let f represent the field goal points.
7 points + field goal points = points scored 7 + f = 13
7 + f = 13– 7 – 7
f = 6They scored 6 points on field goals.
Subtract 7 from both sides.
![Page 19: Solve one step equations. You can add the same amount to both sides of an equation and the statement will remain true. 2 + 3 = 5 + 4 2 + 7 = 9 x = y +](https://reader038.fdocuments.us/reader038/viewer/2022110403/56649e6c5503460f94b6a9fc/html5/thumbnails/19.jpg)
A basketball player scored 23 points during a game. Of those points, 3 were from 3-point goals and the remainder were 2 point goals. How many points did he score with 2 point goals?
Let x equal the points scored by 2 point goals.
3 point goals + 2 point goals = points scored
9 + x = 239 + x = 23
– 9 – 9x = 14
He scored 14 points from 2 point goals.
Subtract 9 from both sides.