ALGEBRA HELP PLEASE!!!?

Question

15) A line has a slope of 1/2 and passes through the point (0,5). What is the equation of the line? 
A) y = 1/2 x + 5 
B) y = 1/2 x - 5 
C) y = 5x + 1/2 
D) y = -5x + 1/2 

16) What is the value of x, when 10(x + 2) = 5(x + 8)? 

17) Solve the proportion. 
2x + 7/3 = 4x + 5/2 
A) x = 8 
B) x = -1 
C) x = 1/8 
D) x = -1/8 

18) Two sisters, Allie and Bonnie are saving money for a trip to Europe. Allie has $1500 and adds $500 each month to this amount. Bonnie has $2300 and adds $400 each month to this amount. How many months must Allie save to exceed the amount of money that Bonnie has saved? 

19) Which value satisfies the inequality -2x + 8 + 5x > 2x + 1? 
A) -15 
B) -10 
C) -7 
D) -5 
20)

 

 

Answer 1

(15)

The slope-intercept form of the line Equation is y = mx + b where m is the slope.

Slope of the line is 1/2 and passes through (0, 5)

y = (1/2)x + b

The point (0, 5) passes through the line

5 = 0 + b

b = 5

Therefore the line Equation is y = (1/2)x + 5.

Option (a) is the correct answers.

Answer 2

(16)

The Expression is 10(x + 2) = 5(x + 8)

Using distributive property: a (b +c) = ab + ac

10x + 20 = 5x + 40

10 - 5x = 40 - 20

5x = 20

x = 4.

Therefore the value of x is 4.

Answer 3

(17)

The Expression is 2x + 7/3 = 4x + 5/2

4x + 5/2 = 2x + 7/3

Multiply with 2 on both sides.

8x + 5 = 4x + 14/3

Multiply with 3 on both sides.

24x + 15 = 12x + 14

24x - 12x = 14 - 15

12x = -1

x = -1/12

Therefore the value of x is -1/12.

Answer 4

 (18)

Let x be the month.

Allie has $1500 with her.

She adds $500 each month to the amount.

Then Total amount saved by Allie is 1500 + 500x

Bonnie has $2300 with her.

She adds $400 each month to her amount.

Then Total amount saved by Bonnie is 2300 + 400x

Amount saved by Allie should be greater than Amount saved by Bonnie.

1500 + 500x > 2300 + 400x

500x - 400x > 2300 - 1500

100x > 800

x > 8

Therefore Allie must save at least 9 months to exceed her amount of Bonnie save.

Answer 5

(19)

The Inequality is -2x + 8 + 5x > 2x + 1.

3x + 8 > 2x + 1

Rewrite the Inequality such that alike terms are on one side.

3x - 2x > 1 - 8

x > -7

Therefore the value of x is greater than -7.

Option (c) is correct.