# Solution to Algebra problems and inequality graphs

1.

Find the domain of the function.

8

G(x)= _____

4 - 3X

Choose the correct domain below.

(a) {x | x does no equal 43}

(b) (b) {x | x does not equal 8}

(c) {x | x does not equal 0}

(d) {x | x >_ 4/3}

(>-_) means grater than or equal to

****************

2. The total net yardage is___ yards.

3. 80% of what number is 20?

The answer is ____

4. One of three consecutive passes, a football team gains 9 yards, loses 27 yards, and gains 49 yards.

What number represents the total net yards?

The total yards is__ yards.

5. Use the distributive property to help you solve the equation.

6(w - 3) = 18

W = __

6. Decide whether the pair of lines is parallel, or neither.

4x + 3y = 5

4x + 3y = 8

The lines are

(a) neither

(b) parallel

(c) perpendicular.

7. Find the domain of the function.

P(x) = 2 -2x + 8

What is the domain of p?

8. AMY PAID $61.13 FOR A PAIR OF RUNNING SHOES DURING A 35% OFF SALE. WHAT WAS THE REGULAR PRICE?

The regular price was $___.

(Round to the nearest cent, if necessary.)

_____________________________________________________________________________________

9. Solve.

0.3x + 2 _< 1.1x -3

The solution is {x | x __ __} -

(Simplify your answer. Type an inequality symbol; then type an integer or a decimal.)

10. Multiply

-9/5, {-6/7

-9/5, { - 6/7} =____ (Type an integer or a simplified fraction)

11. Solve by the elimination method.

5x + 6y = 2

10 x + 12y = 4

What is the solution of system?

(Type an ordered pair. Type an integer or a fraction. Type N if there is no solution. Type (i) if there are infinitely many solutions.)

12. Translate to an algebraic expression. The product of 38% and some number

The translation is____-

(Type the percentage as a decimal. Use b to represent some numbers.)

13. Use < or > to make the statement true.

=13__-8

14. (0, - 5) on the coordinate axes.

Please graph (0,- 5).

15. Graph the line containing the given pair of points and find the slope.

(1,3), (-3, -5) Please graph, Make sure to use the two given points when graphing the line.

Find the slope of the line. m = ___

( Simplify your answer. Type an integer or a fraction. Type N if the slop is undefined.)

_____________________________________________________________________________________

16. Media Service charges $30 for a phone and $20/month for its economy plan. The equation c= 20t + 30 describes the total cost, c, of operating a Media Services phone for t months.

Choose the correct graph of the equation. Please graph c = 20t + 30

The total cost for 2 months of service is $__-

If a customer has only $80 available, how many months of service can she receive? (a) 3 (b) 2 _ (c) 2 (d) 2 1/3

17. Simplify

7[ - 16 - (2 - 81)]

7[ - 16 - (2 - 81)] =

18. Solve

5 > -3x + 4 or 7 _< -4x +2

19. Solve using the multiplication principle.

Don't forget to perform a check.

11x = -88

The solution is x =

20. Graph on a number line, where x is a real number.

-1 < x _< 3

Graph of -1 < x _< 3.

Please graph.

https://brainmass.com/math/basic-algebra/solution-to-algebra-problems-and-inequality-graphs-191259

#### Solution Preview

Following is the text part of the solution. Please see the attached file for complete solution. Equations, diagrams, graphs and special characters will not appear correctly here. Thank you for using Brainmass.

===============================================================================

1.

Find the domain of the function.

8

G(x)= _____

4 - 3X

x can not have values such that 4-3x = 0 è x = 4/3

Choose the correct domain below.

(a) {x | x does no equal 43}

(b) {x | x does not equal 8}

(c) {x | x does not equal 0}

(d) {x | x >_ 4/3} (>_) means grater than or equal to

3. 80% of what number is 20?

0.80 x = 20 è x = 20/0.8 = 25

The answer is 25

4. One of three consecutive passes, a football team gains 9 yards, loses 27 yards, and gains 49 yards.

What number represents the total net yards? 9 - 27 + 49 = 31

The total yards is 31 yards.

5. Use the distributive property to help you solve the equation.

6(w - 3) = ...

#### Solution Summary

I have provided solution to 20 questions in a variety of topics in algebra. Some questions require plotting of graphs for equations and inequalities.