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Some Algebra Problems...!!!

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Problem #1.
Telephoto lens. Please Use this formula:
1/f = 1/o + 1/i

Problem # 2.
Upstream, downstream. Junior's boat will go 15 miles per
hour in still water. If he can go 12 miles downstream in the
same amount of time as it takes to go 9 miles upstream,
then what is the speed of the current?

Problem #3.
Big plane. A six-passenger plane cruises at 180 mph in
calm air. If the plane flies 7 miles with the wind in the
same amount of time as it flies 5 miles against the wind,
then what is the wind speed?

Problem # 4.
Filling a tank. A water tank has an inlet pipe and a drain
pipe. A full tank can be emptied in 30 minutes if the drain
is opened and an empty tank can be filled in 45 minutes
with the inlet pipe opened. If both pipes are accidentally
opened when the tank is full, then how long will it take to
empty the tank?

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https://brainmass.com/math/basic-algebra/some-algebra-problems-256171

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Graphs, Equations, inequalities and Algebraic operations. Twenty problems in all.

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.

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