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

john earns $14.00 for two hours of work.