1. name the algebraic property demonstrated in the example below: (1 point) if x = 3 and 3 = y, then x = y. commutative property of addition associative property of addition transitive property symmetric property 2. name the algebraic property demonstrated in the example below: 3 ⋅ (x ⋅ y) = (3 ⋅ x) ⋅ y distributive property transitive property associative property of multiplication commutative property of multiplication 3. which of the following describes the correct process for solving the equation 2x − 6 = 22 and arrives at the correct solution? divide both sides by −6 and then add 2. the solution is x = 8. subtract 6 from both sides of the equation and then divide by 2. the solution is x = 7. add 6 to both sides of the equation and then divide by 2. the solution is x = 14. add 6 to both sides of the equation and then divide by 22. the solution is x = −14. 4. solve 5c + 4 = −26. 6 −6 −4.4 3 5. solve 3x − x + 2 = 12. −5 4 7 5 6. solve 3(x + 1) + 6 = 33. 10 8 8.7 −8 7. solve y over negative 2 + 5 = 13. −16 16 −36 36 8. solve for x: the quantity of x plus 4 all over 2 = 7. x = 3 x = 5 x = 6 x = 10 9. solve for x: 1 over 4 (2x − 14) = 4. 15 15 over 2 9 11 10. a water park charges $5 for entry into the park and an additional $2 for each of the big water slides. steven spent $17 on his visit to the water park. which equation can be used to find the number of big water slides, x, that steven went on? 5 + 2x = 17 5x + 2 = 17 5x + 2x = 17 5 + 2 = 17x

1)Transitive Property:

This property suggests that if we have three numbers say a,b and c, such that, a=b and b=c then a=c.

Here x=3 and 3=y. Thus x=y by transitive property.

2) Associative Property of Multiplication:

This property suggests that if we have three numbers, say, a,b and c, then the multiplication of these three numbers with each other will yield the same result, irrespective of their order of multiplication.

Thus, a.(b.c)=(a.b).c

For example: 2.(3.4) = (2.3).4

So, here we have, 3.(x.y) = (3.x).y

3) 2x-6=22

⇒2x-6+6=22+6

⇒2x=28

⇒x=28÷2

⇒x=14

Hence, First add 6 both the sides of the equation and then divide by 2. The answer is 14.

4)

⇒

⇒

⇒

⇒c=-6

5) 3x-x+2=12

⇒2x+2=12

⇒2x=12-2

⇒2x=10

⇒x=10÷2

⇒x=5

6) 3(x + 1) + 6 = 33

⇒3x+3+6=33

⇒3x+9=33

⇒3x=33-9

⇒3x=24

⇒x=24÷3

⇒x=8

7) y over negative 2 +5=13

⇒

⇒

⇒y =8 ×(-2)

⇒y = -16

8)

⇒

⇒

x=10.

9) 1 over 4 (2x − 14) = 4

⇒

⇒

⇒

⇒

⇒

⇒

10) Fixed amount paid as entry fee by Stephen = $5

Let the number of big water slides taken by Stephen be x.

Charge for each big water slide = $2

Thus, charge for 'x' big water slides = $2 × x = $ 2x

So, total amount paid by Stephen = 5 + 2x

Given, Stephen pays $ 17

Thus, 5+2x=17.

This equation can be used to find out the number of big water slides taken by Stephen.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

europa2433

europa2433

step-by-step explanation: