Intermediate Algebra Review Questions for Department ...
Intermediate Algebra Review Questions for Computer Enhanced Exam
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Decide whether the relation defines a function.
1) [pic]
A) Not a function B) Function
Find the domain and range.
2) [pic]
A) domain = {-4,8,1,3}; range = {-4,-2,-1} B) domain = {-4,-2,-1,2}; range = {-4,8,1,3}
C) domain = {-4,-2,-1}; range = {4,8,1,3} D) domain = {-4,-2,-1,-12}; range = {-4,8,1,3}
Given the function, find the indicated value.
3) Find f(-2) when f(x) = 2x2+4x+4.
A) 20 B) 0 C) -4 D) 4
Solve the system by graphing.
4) y – 4x = 2
5y = 20x + 10
[pic]
The x-value of the solution is:
A) -1.5 B) 1 C) Infinite # of solutions D) No solution
Solve the system.
5) 2x + 3y = -5
3x – 5y = 21
The y-value of the solution is:
A) 2 B) 7 C) -3 D) No solution
Simplify the expression.
6) [pic]
A) [pic] B) [pic] C) [pic] D) [pic]
Simplify the expression. Write the answer with positive exponents.
7) [pic]
A) [pic] B) [pic] C) [pic] D) [pic]
Simplify. Use positive exponents to write the answer.
8) [pic][pic]
A) [pic] B) [pic] C) [pic] D) [pic]
Find the degree of the polynomial and indicate whether the polynomial is a monomial, binomial, trinomial, or none of these.
9) [pic]
A) degree 5; trinomial B) degree 5; none C) degree 13; trinomial D) degree 14; binomial
Perform the indicated operations.
10) [pic]
A) [pic] B) [pic]
C) [pic] D) [pic]
Multiply.
11) (-5x + 3y) (2x – 12y + 1)
A) [pic] B) [pic]
C) [pic] D) [pic]
12) (-6 + x) (4x – 8)
A) [pic] B) [pic] C) [pic] D) [pic]
13) [pic]
A) [pic] B) [pic] C) [pic] D) [pic]
14) [pic]
A) [pic] B) [pic] C) [pic] D) [pic]
Factor the trinomial.
15) [pic]
A) [pic] B) [pic] C) [pic] D) [pic]
Factor the polynomial.
16) [pic]
A) [pic] B) [pic]
C) prime polynomial D) [pic]
17) [pic]
A) [pic] B) [pic] C) prime polynomial D) [pic]
18) [pic]
A) [pic] B) [pic] C) [pic] D) prime polynomial
Solve the equation by factoring.
19) [pic]
A) [pic] B) [pic] C) [pic] D) [pic]
Divide. Simplify the answer.
20) [pic]
A) [pic] B) [pic] C) [pic] D) [pic]
Perform the indicated operations. Simplify the answer.
21) [pic]
A) [pic] B) [pic] C) 1 D) [pic]
Perform the indicated operations. Simplify the answer.
22) [pic]
A) [pic] B) [pic] C) [pic] D) [pic]
Simplify the complex fraction.
23) [pic]
A) [pic] B) 12 C) [pic] D) 1
Solve the equation.
24) [pic]
A) [pic] B) 0 C) -7 D) 4
Find the cube root. Round to the nearest thousandth, if necessary.
25) [pic]
A) [pic] B) [pic] C) [pic] D) [pic]
Use radical notation to write the expression. Simplify if possible.
26) [pic]
A) [pic] B) [pic] C) [pic] D) [pic]
Write with positive exponents. Simplify if possible.
27) [pic]
A) -125 B) 125 C) [pic] D) [pic]
28) [pic]
A) [pic] B) 16 C) [pic] D) not a real number
Use the properties of exponents to simplify the expression. Write with positive exponents.
29) [pic]
A) [pic] B) [pic] C) [pic] D) [pic]
Use the product rule to multiply. Assume all variables represent positive real numbers.
30) [pic]
A) [pic] B) [pic] C) [pic] D) [pic]
Simplify the expression. Assume all variables represent positive real numbers.
31) [pic]
A) [pic] B) [pic] C) [pic] D) [pic]
Add or subtract. Assume all variables represent positive real numbers.
32) [pic]
A) [pic] B) [pic] C) [pic] D) [pic]
Multiply, and then simplify if possible. Assume all variables represent positive real numbers.
33) [pic]
A) [pic] B) [pic] C) [pic] D) [pic]
Rationalize the denominator. Assume all variables represent positive real numbers.
34) [pic]
A) [pic] B) [pic] C) [pic] D) [pic]
35) [pic]
A) [pic] B) [pic] C) [pic] D) [pic]
Solve.
36) [pic]
A) 8 B) 4096 C) -4096 D) [pic]
37) Find the length of the unknown side of the triangle.
[pic]
A) 18 km B) 25 km C) 20 km D) 24 km
Perform the indicated operation. Write the result in the form a + bi.
38) [pic]
A) [pic] B) [pic] C) [pic] D) [pic]
Simplify.
39) [pic]
A) [pic] B) [pic] C) [pic] D) [pic]
Use the square root property to solve the equation. Round to the nearest tenth, if necessary.
40) [pic]
A) [pic] B) [pic] C) [pic] D) [pic]
Use the quadratic formula to solve the equation.
41) [pic]
A) [pic] B) [pic]
C) [pic] D) [pic]
Intermediate Algebra Review Questions for Computer Enhanced Exam
Answer Key
1. A 22. C
2. C 23. A
3. D 24. A
4. C 25. B
5. C 26. C
6. D 27. C
7. D 28. C
8. C 29. B
9. B 30. D
10. C 31. A
11. C 32. D
12. D 33. D
13. C 34. A
14. B 35. A
15. D 36. D
16. D 37. C
17. C 38. C
18. A 39. A
19. D 40. D
20. C 41. B
21. D
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15 km
25 km
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