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 + 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

Use inverse operations when isolating a variable. Addition and subtraction are inverse operations, which means that they “undo” each other.

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?

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

Like addition and subtraction, multiplication and division are inverse operations. They “undo” each other.

•

÷

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)

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)

ASSIGNMENTPAGE 515

1-6IXL V3

Solve one step equations

Date _________________

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

Use inverse operations when isolating a variable. Addition and subtraction are inverse operations, which means that they “undo” each other.

EX 1) Check your answer.Check

EX2) Check your answer.

Check

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

Like addition and subtraction, multiplication and division are inverse operations. They “undo” each other.

EX3) Check your answer.Check

Check

Check your answer.EX4)

EX5) Check your answer. Check

Check your answer. EX6)

Check

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.

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.