Download Review Page Fall Semester Final Exam Review MMA 2016 – 2017

Name: _____________________ Date: _________________ Period: _____ Review Page
Fall Semester Final Exam Review
MMA 2016 – 2017
For questions 1 -20 choose the word that best fits the given definition or situation.
1.
What does UPSC stand for?
U__________________ P_______ S__________ C___________
2.
What is a polynomial with two terms? ________________________.
3.
What is a polynomial with one term? ___________________.
4.
What is a polynomial with three terms? __________________________.
5.
What are terms that have the same variables and corresponding powers and/or roots?
_______________________
6.
What are numerical quantities placed before and it’s multiplying with the variable in an
algebraic expression? ________________________.
7.
What is a term or expression with no variables? _______________________
8.
What is a symbol, usually a letter, used to represent a number? ____________________
9.
What is a set of ordered pairs? __________________________
10. What is it called when you multiply each outside term with the terms inside the
parentheses? ________________________________________
11. What is the test used to determine whether or not a graph is a function?
___________________
12. What is the set of all possible values of the y-coordinates for a relation? _______________
13. What is the set of all possible values of the x-coordinates for a relation? _______________
14. What is a mathematical term meaning to multiply? ____________________
15. What are the three words that describe an x-value?
____________________
_____________________
_____________________
16. What are the three words that describe a y-value?
____________________
______________________
____________________
17. What is a mathematical term meaning to divide? ____________________________
18.
What is an equation that makes a straight line when it is graphed? __________________
19. What is the point at which a parabola makes its sharpest turn also called the turning point?
_________________________
20. What are the other three words used to represent a term for x-intercept of a Parabola?
____________________ ______________________
____________________
For questions 21 - 50, answer with the given information.
21. Bob sold 35 movie tickets and received $145. Adult tickets cost $5.00 each and children’s
tickets cost $3.50 each. Write a system of equations that could be used to find the number
of adult tickets, a, and children’s tickets, c, sold?
22. Susie has 40 coins with the sum of money amounting to $6.70 consisting of dimes and
quarters. Write a system of equations that could be used to find the number of dimes, d,
and quarters, q, that Melissa had?
23. The sum of two mystery numbers is 29. The larger number is seven more than the smaller
number. If x represents the larger number and y represents the smaller number then write
a system of equations to represents the mystery numbers.
24.
Solve the following system of equations with any method to find the y-value.
2𝑥𝑥 + 𝑦𝑦 = 4
−2𝑥𝑥 + 3𝑦𝑦 = −12
25. Solve the following system of equations with any method.
𝑦𝑦 = 2𝑥𝑥 + 9
3𝑥𝑥 + 2𝑦𝑦 = 4
26. Simplify by combining like terms: (𝑎𝑎2 − 4𝑎𝑎 − 6) − (−𝑎𝑎2 − 7𝑎𝑎 + 6)
27. The length of a painting can be represented by the expression 2𝑥𝑥 + 18. Its width can be
represented by the expression 6𝑥𝑥 − 5. What is the simplified expression for the perimeter of
the painting?
28. The length of a painting can be represented by the expression 7𝑥𝑥 + 4. Its width can be
represented by the expression 2𝑥𝑥 − 9. What is the simplified expression for the area of the
painting?
29. Simplify by factoring the trinomial: 𝑥𝑥 2 − 7𝑥𝑥 + 10.
30.
Simplify by factoring the trinomial: 𝑥𝑥 2 + 𝑥𝑥 − 42.
31. Simplify by factoring the difference of squares: 9𝑥𝑥 2 − 196.
32. Simplify by factoring the GCF: 𝑎𝑎7 𝑥𝑥 − 18𝑎𝑎𝑥𝑥 5
33. Consider the equation 8𝑥𝑥 + 2𝑦𝑦 = 14 , find the slope and y-intercept.
34. A salesman is paid a monthly salary of $2,300 plus 7% commission on his monthly sales,
which equation represents the situation?
A. 𝑦𝑦 = 2300 + 7𝑥𝑥
B. 𝑦𝑦 = 2300 + .07𝑥𝑥
C. 𝑦𝑦 = 2300 + 0.7𝑥𝑥
D. 𝑦𝑦 = 2300𝑥𝑥 + .07
35. Write the equation of the line in the graph below.
36. Using the graph to the right determine the domain of the graph.
37. Using the graph to the right determine the range of the graph.
38. Using the same graph to the right, determine whether the
graph is a function or not.
39. Determine whether or not the relation is a function.
X
-3
Y
5
-3
0
1
5
40. Find the value of 𝑓𝑓(𝑥𝑥) when 𝑓𝑓(𝑥𝑥) = 6𝑥𝑥 2 + 3𝑥𝑥 − 10 and 𝑥𝑥 = −3.
41. Find the value of 𝑥𝑥 when 𝑓𝑓(𝑥𝑥) = 12 − 3𝑥𝑥 and 𝑓𝑓(𝑥𝑥) = 5.
42. Solve for x: (𝑥𝑥 − 5)(𝑥𝑥 − 8) = 0
43. Find the axis of symmetry for (𝑥𝑥) = 𝑥𝑥 2 + 6𝑥𝑥 + 5 .
44. Find the vertex of 𝑓𝑓(𝑥𝑥) = 𝑥𝑥 2 + 6𝑥𝑥 + 5
45. How many solutions does the quadratic function have?
46. What are the solutions to the quadratic function graphed below?
47. A cannonball is shot into the air with a velocity of 60ft/sec. At what time will the cannonball
first reach a height of 56 feet, using the equation below?
𝒉𝒉 = −𝟏𝟏𝟏𝟏𝒕𝒕𝟐𝟐 + 𝟔𝟔𝟔𝟔𝟔𝟔
48. About 4 out of 10 people entering a community college need to take a refresher
mathematics course. If there are 960 entering students, how many will probably need a
refresher mathematics course?
49.
Solve the equation for the missing variable: −7(1 − 7𝑥𝑥) + 4(−3𝑥𝑥 − 5) = −13𝑥𝑥 − 4𝑥𝑥
50.
Evaluate the formula 𝑉𝑉 = 𝑙𝑙𝑙𝑙ℎ by getting 𝑙𝑙 isolated.