ALGEBRA 1
REVIEW FOR FALL EXAM
Name:________________________
1. What is your favorite part of Algebra so far?
Simplify.
2. –9a + b – 5a + 2b
3. 3(2r + p) – 3(r – 2p)
4. 4(x – 2) + 6x
5. 7 – 2(3 + 2b)
Evaluate.
6. –z – 6 + y for y=8 and z=5
7. 6y – 2xy for x=3 and y=4
8. –a – b + y for a= –3, b= –2, y=5
9.
cb
for a= –1, b=5, c= –2
abc
Translate each statement into an equation.
10. Six less than twice a number x is ten._________________________________
11. Six times the quantity two less than a number x is ten.____________________
12. Twelve more than four times a number x is ten._____________________________
13. Two less than two thirds times a number x is ten.________________________
14. Six times the difference between two and a number x is ten.________________
Solve the equations.
15. y – 9 = 17
16. 8 = –x + 18
18. –12a = –36
19.
x
= –7
5
20.
21. 5x + 9 = –16
22.
2
x–7=5
3
23. –8m + 3m = 35
24. 2y – y + 4y – 6 = 0
25. 8(w + 1) – 6 = 26
27. 8 = 10 – (5 – w)
28. 5 –
a
=3
2
17. 3t = 27
2
x = 12
3
26. 3(a – 2) + 8(a – 3) = –8
29. 4(y – 3) = 7y
Word problems
30. Four more than three times a number is 175.
Find the number.
31. Seven less than two thirds of a number is 5.
Find the number.
32. The perimeter of a rectangle is 24m and the length is 8m. Find the dimensions of the rectangle.
33. The length of a rectangle is 5 more than the width. If the perimeter is 42 ft, what are the dimensions of the
rectangle?
34. The sides of a triangle have lengths of x, x + 2, and 2x – 40. The perimeter is 70 cm. Find the length of
each side of the triangle.
35. Emily is buying some graduation pictures. She pays $25 for the sitting and $15 for each sheet of pictures
she buys.
a. Write an equation representing the total cost, y, as a function of the number of sheets, x, Emily buys.
b. How much does she pay for 5 sheets of pictures?
c. How many sheets can she buy for $145?
36. A taxi driver charges $2.50 for the first two miles and $.95 for each mile after two. If the taxi ride costs
$16.75, how many miles did the taxi travel?
Proportions
37.
38.
39.
40. Five out of every six of Mrs. Jones’ students passes the Fall exam in Algebra I. If 70 students passed the
test, how many students does Mrs. Jones have?
41. Adam has a monthly income of $2000. He
wants to buy a used car for $250 a month. What
percent of his monthly income would his car
payment be?
43. An electronic store has a sale on televisions.
The regular price of a television is $576. The sales
price of the television is $432. What is the discount
rate?
42. Sadie works at a car dealership and receives a
3.5% commission for each car she sells. She
received $930.30 in commission for selling a car.
What was the price of the car?
44. Laura makes 10.5% commission on each of her
sales. How much does she make when she sells a
house of $85,000?
Domain and Range
45. Tell whether each relation is a function.
a. (4,2), (6,–2), ( 2,4), (6,–3)
46. Find the domain and range of the function
{(2, 3), (4, 7), (1, 7), (5, 9)}
b. (8,1), (10,–3), ( 5,–6), (–6,4)
c. (1,3), (–5,3), ( 7,3), (–2,3)
d. (2,6), (2,–8), ( 2,19), (2,–12)
47. Find the range of the function f(x) = x2 + 2x + 1 when the domain is {–7, –5, 2}.
48. Find the domain and range of the function.
D: ___________________
R: ___________________
49. Find the domain and range of the function.
D: ___________________
R: ___________________
Equations of lines
50. Find the slope and y–intercept of
x – 3y = 18.
51. What is the slope of the line through
(–2, 7) and (–5, –7)?
Find the equation of the lines below.
52.
53.
54.




Solve for the indicated variable:
55. px + by = z solve for b
56. C = 2πr solve for r
57. Graph the line 8x + 4y = 12 on the grid.
58. Graph the line 3x – 2y = 14 on the grid.
Write the equation of each line described below. Use graph paper for assistance.
1
59. Slope –3, y –intercept 4
60. Slope , passes through (4, –1)
2
61. Passes through (–1, –2) and (0, 3)
62. Horizontal line through (–2, –1)
63. Parallel to
y–intercept of –3.
64. Parallel to
the point (–2, 7).
but has a
but passes through
65. For g(x) = {(4, –3) (2, 1) (–1, 5) (–3, –6)}
66. Given f(x) = 3 – 5x
g(–1) =
g(4) =___________________
f(1) =
f(–2) =____________
67. When f(x) = 3x – 6 if f(x) = 12 then solve for x.
68. Use the data below to estimate of the weight of an Algebra book if it contains 200 pages.
35
Weight
(lbs)
25
15
5

25




75
125
175
# of pages
69.
x
2
3
4
6
7
f(x)
5
7
9
Complete the table
(a) Rate (slope):______________________
(b) Rule (equation):__________________
70. What is the linear parent function? And
what does it look like on the coordinate plane?
225