Solve one step equations. You can add the same amount to both sides of an equation and the statement...

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Solve one step equations

Transcript of Solve one step equations. You can add the same amount to both sides of an equation and the statement...

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 +

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 +

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 +

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 +

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 +

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 +

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 +

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 +

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 +

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 +

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 +

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 +

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 +

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 +

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 +

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 +

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 +

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 +

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 +

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.