Coordinate Algebra
Unit 1 Review
Name: ________________________
Date: _________________________
Name the terms, coefficients and constants for each expression.
1. 8x2 –5x – 2
2. - 5x3 –2x2 –8x3 +5x – 6 + 4x2
Terms: __________________
Terms: ____________________
Coefficients: _____________
Coefficients: _______________
Constant: ________________
Constant: __________________
Write an algebraic expression for each verbal expression.
3. 56 increased by twice a number _________________________________
4. the product of x and 7 plus one half of y _____________________________
5. twice the difference of 4 and x __________________________________________
6. 8 less than a number squared ________________________________________
For problems 7 - 10 , define the variable, create an algebraic equation, solve the equation, make sure your
answer is reasonable and write your final answer as a complete sentence.
7). A number decreased by 8 is -57. Find the number.
8). The quotient of twenty five and a number is -50. What is the number?
9). The sum of three even consecutive numbers is -60. What are the three numbers?
10). Eight minus two times a number is equal to the number plus 17. Find the number.
Write each as a verbal expression.
11. 4x – 2 _________________________________________________________
12. x2 + 8 __________________________________________________________
Change each percent to a decimal.
13. 24.5%
14.
4%
Find the answer.
16. 2% of 25
17. 13% of 86
15. 118%
18. 108% of 95
Convert. Be sure to show all work in the solution process.
19. How many inches are in 568 centimeters? (1 inch = 2.54 cm)
20. How many minutes are in 3 days?
21. If you are traveling 65 miles per hour, how many feet per second are you traveling?
22. How many ounces are in 6 tons?
Simplify completely.
3(4x –5) + 9x + 8
23.
24.
4x – 2y+8x – 4y – 16x
25) Max and three friends went to dinner at McDonalds and they decided to split the bill evenly. If each person paid
$6.54, what was the total bill?
26) You have $32 to spend on supplies for your science fair project. If you buy two plants for experiments, you will have
$18 left for other supplies. How much is each plant?
For each problem below, select the best answer and place your answer in the space provided.
_______ 27). Erica wants to have an average of an 85 on her quizzes. If she took three quizzes and earned a
94, 75, and 82, what is the lowest score she has to earn on her fourth quiz?
A.
88
B. 84
C. 89
D. 98
_______ 28). If -2x + 9 = -11, then what is -6x?
A.
60
B. -60
C. -10
D. 10
_______ 29). What is the algebraic translation of: “four times the sum of eight and a number”?
A. 4(8 + x)
B. 4 + 8x
C. (4 + x)8
D. 4*8 + x
_______ 30). What is the algebraic translation of: “The square of the sum of a number and 11”?
A. x2 + 11
B. (x + 11)2
C. x + 112
D. x + 11
________31). What is 15% of 95?
A. 1425
Simplify.
32.
64
B. 1.425
33.
36 x 4 y 6
34.
72
C. 14.25
D. 0.1425
35.
36.
24 x 5 y 4
2 3 57 3 2
38.
39.
3 27  7 3  12
40.
5 6  3 24  150
41.
(5 6 )  (3 24 )
2 3  7 12
Simplify.
42. (x2 – 3x + 7) + (2x2 – 5)
43. (4m3 – 6m2 + 11) – (2m2 + 4m -13)
44. 16p2 + 11p – (12p + 6 p2 - 5)
45. (33r2 + 12r ) + (16r – 18r2 + 7)
46. (-16m2n3 )(4mn5)
47. (3xy)(-8xy7)
48. (2m + 3) (3m – 1)
49. 2m3(3m2 + 5m -11)
50. (3x2 + 5x)(-2x + 11)
51. (4a – 1)2
52. (3r – 2)(4r2 – 3r – 5)
53. 2. In the segment below, XZ  9 x  7 and YZ  3x  1 . Write an expression to represent the length of XY .
Y
X
Z
53. XY =
54. In the segment below, AM  4 x  7 and MB  3x  5 . Write an expression to represent the length of AB .
A
M
B
54. AB =