Question 1 options:
solve the following equation for x.

enter your answer as an integer or decimal.

4=10x+5
x =

question 2 (1 point)
solve the following equation for x:

s=3w+2x
question 2 options:

x=s2−3w

x=s−3w2

x=s+3w2

x=3w−s2

x=s2+3w
question 3 (1 point)
which equation is an identity?

question 3 options:

8x+9=8x−3

7x−2=8x+4−x

11−(2x+3)=−2x−8

5x+8−x=6x−2(x−4)
question 4 (1 point)
solve the following inequality for x.

enter number as an integer or decimal.

enter the answer as an inequality (ex: x > # or x < #) no spaces.

4x – 5 + x < –10

[1]

question 4 options:
question 5 (1 point)
solve the following inequality for x.

enter number as an integer or decimal.

enter the answer as an inequality (ex: x > # or x < #) no spaces.

30 – 4x > 6x – 10

[1]

question 5 options:
question 6 (1 point)
enter and simplify the expression that is equivalent to 8x + 3y, when y = 4 – 2x

question 6 options:

6x + 1

2x + 12

6x + 4

2x + 4

10x + 12

10x + 4

question 7 (1 point)
question 7 options:
enter and simplify the expression that is equivalent to 3x + 6y, when y = 2x – 5

no spaces.

question 8 (1 point)
question 8 options:
enter and simplify the expression that is equivalent to 2x – 4y, when y = 3x – 6.

no spaces.

question 9 (1 point)
which equation represents this sentence?

"eight increased by the square of a number, is five times the difference of the number and two."

question 9 options:

8+x2=x−2

8+x√=x−2

8+x2=2−x

8+x√=2−x
question 10 (1 point)
question 10 options:
it takes 15 minutes to cook 1 pound of turkey.

if you have a 21 pound turkey, how many hours/minutes will it take to cook the bird?

hour(s), and
minutes

Q1: 4=10x+5

4-5=10x

-1=10x

-1/10=10x/10=-0.1

Q2:s=3w+2x

s-3w=2x

s-3w/2=2x/2.

1) -1/10 2) s-3w/2 3)5x+8−x=6x−2(x−4) 4) x<-1 5)

x<4 6) 2x+12 7) 15x-30 8) 24-10x

9) 8+x² = 5(x - 2) 10) 315minutes

Step-by-step explanation:

1) 4=10x+5

Solving the equation, 10x = 4-5

10x = -1

x= -1/10

2) s=3w+2x

Solving for x is like making x the subject of the formula

s-3w = 2x

Dividing both sides by 2

x = s-3w/2

3) Out of the option, the equation 5x+8−x=6x−2(x−4) is equal

Opening the bracket at the right hand side of the equation, we have,

6x-2x+8

= 4x+8...1

Similarity left hand side gives

5x-x+8

=4x+8.. 2

Which shows that eqn 1 and 2 are identity.

4)4x – 5 + x < –10

Solving this inequality

5x-5<-10

5x<-10+5

5x<-5

x<-1

5) 30 – 4x > 6x – 10

Solving this

-4x-6x>-10-30

-10x>-40

Multiplying both sides by minus will change the sign to have

10x<40

x<4

6) if 8x + 3y...(1), and y = 4 – 2x

Substituting y=4-2x into (1), we have

8x + 3(4-2x)

=8x + 12 - 6x

= 2x+12

7) If 3x + 6y, when y = 2x – 5

We have 3x + 6(2x-5)

3x + 12x - 30

= 15x-30

8) If 2x – 4y, when y = 3x – 6

Equivalent expression will be

2x - 4(3x-6)

= 2x - 12x +24

-10x + 24

= 24-10x

9) Eight increased by the square of a number, is five times the difference of the number and two."

This statement is represented by

Let the unknown number be 'x'

The square of the number is x²

If eight is increased by x², it become 8+x²...(1)

.The difference between the unknown number and two gives x - 2...(2)

Therefore, eight increased by the square of a number, is five times the difference of the number and two." becomes 8+x² = 5(x - 2)

10) If it takes 15minutes to cook 1pound of turkey, it will take (21×15) minutes to cook 21pounds of the same turkey i.e 315minutes

question

what is the value of the third quartile of the data set represented by this box plot? a. 19 b. 21 c. 26 d. 29

answer

c