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-1 1 2 3 4 5 6
- 1 2 3 4 5 6 -1 1 2 3 4 5 6 - 1 2 3 4 5 6 -6 -5 -4 -3 -2 -1 1 - - - - - - 1 -6 -5 -4 -3 -2 -1 1 - 1 2 3 4 5 6
ELEMENTARY ALGEBRA PRACTICE FINAL EXAM
1. Solve: 13 7 2
w
A. 13
w
B. 13
w
C.
w 5
D.
w 1
E. none of these
2. Find the product: x^3 yz 4 x^3 y^2 z
A. 4 x^^9 y^2 z B. 4 x^^6 y^3 z C. 4 x^^6 y^3 z^2 D. 4 x^^6 y^2 z^2 E. none of these
- Factor completely: 5 x^ ^5 y zx zy
A. 5 x z y B. 5 y x z C. 5 x y z x y D. 5 z x y E. none of these
- Subtract and simplify:
x
x
x
x
A.
x x
x
B.
x x
x
C.
x x
x x
D.
x x
x
E. none of these
- Graph the equation: 4 x ^5 y ^20 A. B. C. D. E. none of these
- Simplify (assume all variables are positive numbers): (^) 25 x^6 y^4 A. 5 x^3 y^2 B. 5 x^3 y^2 C. 5 x^3 y^2 D. 5 x^3 y^2 E. none of these
- Simplify:
2 2
x x
x x
A.
3 x B.
x
x
C.
x
x
D.
x
x
E. none of these
- Divide and simplify:
2 2
x
x x
x x
x x
A.
x
B.
2 2
x
x x
C.
x
x 2
D.
x
x x
E. none of these
- If a number is doubled, the result is seven less than three times the number. What is the number?
A. 5 B. 7 C. 5 D. 7 E. none of
these
10. Express 0. 0023 in scientific notation.
A. 2. 3 x 10 ^4 B. 2. 3 x 10 4 C. 0. 23 x 10 ^2 D. 2. 3 x 10 ^3
E. none of these
- Solve for t : A P Pr t A.
Pr
A P
t
B.
P
A P
t
C.
Pr
A P
t
D.
r
A P
t
E.
none of these
- Solve for m : 2
E mv
A.
Ev^2
m B. m 2 Ev^2 C.
2
m Ev D. 2
v
E
m E. none of
these
- Find the slope of the line through 2 , 3 and 2 , 5 .
A. 2 B. 2 C.
D. undefined E. none
of these
- How many gallons of a 10% salt solution must be mixed with 50 gallons of a 50% salt solution to obtain a 20% salt solution? A. 10 gallons B. 20 gallons C. 100 gallons D. 150 gallons E. none of these
- A woman walked to a lake at the rate of 3 mph and returned at the rate of 4 mph. If the return trip took one hour less time, and the round-trip distance was 10 miles, how long did the round-trip take to complete? A. 1 hour B. 2 hours C. 3 hours D.
3 hours E. none of
these
- Write, in standard form, the equation of a line with slope of
and passing through the point 1 , 3 .
-5 -4 -3 -2 -1 1
- 1 2 3 4 5 -5 -4 -3 -2 -1 1 - 1 2 3 4 5 -5 -4 -3 -2 -1 1 - 1 2 3 4 5 -5 -4 -3 -2 -1 1 - 1 2 3 4 5
- A woman has some nickels, dimes and quarters; 25 coins in all. She has 3 more dimes than nickels, and 4 more quarters than dimes. How many nickels does she have? A. 5 nickels B. 8 dimes C. 8 nickels D. 5 dimes E. none of these
25. Graph the inequality: 2 x^ ^3 y > 6
A. B. C. D. E. none of these
- Simplify: 3 5 3 4 3
a b
a b
(Write answer without using parentheses or negative exponents.) A. (^3) 3
a
b
B. 27
18
a
b
C. 3
3
b
a
D. a^27 b^18 E. none of these
- Find the product: (^) x 2 2
A. x^2 4 B. x^2 4 C. x^2 4 x 4 D. x^2 4 x 4 E. none of these
- Graph the solution of: 5 5 x 7 < (^10) A. ] ( B. [ ) C [ ) -8 -5 -8 -5 5 8 D. ] ( E. [ D. None of these. 5 8 -8 -
29. Solve the proportion for y^ :
3 y 2 y
A. 3 B. 4 C.
D.
E. none of these
- Add and simplify:
x x
A.
2 x
B.
x
C.
2 x
D.
7 x 1
E. none of these
31. Factor completely: 10 a^2 16 a 42
A. 10 a 14 a 3 B. 5 a 7 2 a 6 C. 2 5 a 7 a 3 D. 2 5 a 7 a 3 E. none of these
32. Find the product: 2 x 3 3 x 2
A. 5 x^2 5 x 6 B. 5 x^2 13 x 5 C. 6 x^2 5 x 6 D. 6 x^2 5 x 6 E. none of
these
33. Factor completely: a^2 3 ab 2 b^2
A. a 2 b a b B. a 2 b a b C. a 2 b a b D. a b a 2 b E. none of
these
34. If P ( x ) 2 x^2 6 x 1 ,find P (^2 ).
A. 21 B. –3 C. –19 D. 19 E. none of these
35. Factor completely: 4 x^2 25
A. 2 x 5 2 B. 2 x 5 2 C. ^2 x^ ^5 ^2 x ^5 D. does not factor E. none of these
36. Simplify: ( 5 x )^2
A. 25 x^2 B. 2
x
C.
x^2
D. 2
x
E. none of these
- The length of a rectangle is three times its width. The perimeter of the rectangle is 120 feet. Find its area.
A. 225 sq. ft. B. 675 sq. ft. C. 15 ft. D. 45 ft. E. none of
these
- Factor completely: 2 x^2 y^2 z 4 xy^2 z 6 y^2
A. y^2 x^2 z 2 xz 3 B. 2 y x^2 yz 2 xyz 3 y C. 2 x^2 y^2 z 2 xy^2 z 3 y^2 D. 2 y^2 x^2 z 2 xz 3
E. none of these