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# 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?

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.

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.

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.

#### Solution Preview

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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