Topic 6-1 to 6-4 Review

6-1: Understand Equations & Solutions

100

c - 8 = 25

is c = 33 a solution of the equation?

33 - 8 = 25 ✅

c = 33 is a solution

200

f - 13 = 28

is f = 38 a solution of the equation?

38 - 13 = 28 ❌

f = 38 is NOT a solution

300

2y = 30

y = 10, 12, 15, 18

Which value of the variable, if any, is a solution of the equation?

2 * 10 = 30 ❌

2 * 12 = 30 ❌

2 * 15 = 30 ✅

2 * 18 = 30 ❌

y = 15 is a solution

400

f - 13 = 28

f = 38, 42, 45, 51

Which value of the variable, if any, is a solution of the equation?

38 - 13 = 28 ❌

42 - 13 = 28 ❌

45 - 13 = 28 ❌

51 - 13 = 28 ❌

No solution is given

500

150 ➗ h + h = 53

h = 2, 3, 4, 5

Which value of the variable, if any, is a solution of the equation?

150 ➗ 2 + 2 = 53 ❌

150 ➗ 3 + 3 = 53 ✅

150 ➗ 4 + 4 = 53 ❌

150 ➗ 5 + 5 = 53 ❌

h = 3 is a solution

6-2: Apply Properties of Equality

100

When you are applying a Property of Equality (Addition, Subtraction, Multiplication, or Division) to an equation, you do the ____ operation on both sides of the equation.

When you are applying a Property of Equality (Addition, Subtraction, Multiplication, or Division) to an equation, you do the SAME operation on both sides of the equation.

200

If 6 + 2 = 8,

Is 6 + 2 + 3 = 8 + 3?

Why or why not?

Yes, because 3 was added to both sides

300

6x = 24

6x * 4 = 24 * 4

What Property of Equality is displayed?

The Multiplication Property of Equality. 

4 is multiplied on both sides of the equation.

400

If 10a + 6 = 26,

Is (10a + 6) ➗ 2 = 26 ➗ 13?

No

Both sides are not divided by the same number

500

When we want to un-do a certain Property of Equality, we can use the Property of Equality with the _______ operation.

When we want to un-do a certain Property of Equality, we can use the Property of Equality with the INVERSE/OPPOSITE operation.

6-3: Write & Solve Addition and Subtraction Equations

100

What is the inverse operation of addition?

subtraction

addition and subtraction are INVERSE OPERATIONS, or oppossites

200

x + 2 = -11

You can ISOLATE (GET BY ITSELF) the variable by using the ___________ Property of Equality and ___________ 2 from both sides of the equation.

x + 2 = -11

You can ISOLATE (GET BY ITSELF) the variable by using the SUBTRACTION Property of Equality and SUBTRACTING 2 from both sides of the equation.

300

c + 2 = -11

Solve for c

c + 2 = -11

c + 2 - 2 = -11 - 2

c = -13

400

x - 236 = 450

Solve for x

x - 236 = 450

x - 236 + 236 = 450 + 236

x = 686

500

x +21.9 = 27.1

Solve for x

x + 21.9 = 27.1

x + 21.9 - 21.9 = 27.1 - 21.9

x = 5.2

6-4: Write & Solve Multiplication and Division Equations

100

What is the inverse operation of division?

multiplication

multiplication and division are INVERSE OPERATIONS, or opposites

200

2a = -22

You can ISOLATE (GET BY ITSELF) the variable by using the ___________ Property of Equality and ___________ 2 from both sides of the equation.

2a = -22

You can ISOLATE (GET BY ITSELF) the variable by using the DIVISION Property of Equality and DIVIDING BY 2 on both sides of the equation.

300

2y = -22

Solve for y

2y = -22

2y ➗ 2 = -22 ➗ 2

y = -11

400

-7x = 77

Solve for x

-7x = 77

(-7x) ➗ -7 = 77 ➗ -7

x = -11

500

x ➗ 20 = 120

Solve for x

x ➗ 20 = 120

(x ➗ 20) 20 = (120) 20

x = 2,400