Download Algebra Review 1

Algebra Review 1
Name _________________________________________
Translate from verbal to equation; use ‘x’ as the unknown number and solve.
1. A number increased by 73 is 157.
2. The product of 5 and a number is 35.
3. 9 less than a number equals 1.
4. One-ninth of a number is 9.
5. 7 more than 2 times a number is 13
6. The sum of 10 and the product of 4 and a number is 22
7. a number minus 9 is –7.
8. Six times a number, less 11 is 49.
Solve.
9. 716.1 = 9.3a
10. 1876 = 67a
11. 41 + 59 = 65 + y
12. x – 72 = 12
13. 15 = a – 80
14. x + 88 = 132
15. x – 43 = 54
16. 98.8 + y = 141.64
17. 4544 = 71a
18. n  23 = 3
19. –3b = -33
20. b/10 = 6
21. j – 8 = 24
22. 55 – h = 18
23. 25 – k = 9
24. b + 5  6 = 54
25. g  4 = 40
26. b – 12 = 77
27. h  6  12 = 36
28. 24  16  a = 9216
Algebra Review 2
Name __________________________________
Multi-step Equations
Solve each equation.
1. 6 = 1 – 2n + 5
2. a + 5 = -5a + 5
3. p – 1 + 5p + 3p – 8
4. p – 4 = -9 + p
5. 12 = -4(-6x – 3)
6. –(7 – 4x) = 9
7. 5n + 34 = -2(1 – 7n)
8. 3n – 5 = -8(6 + 5n)
9. –18 – 6k = 6(1 + 3k)
10. 2(4x – 3) –8 = 4 + 2x
11. –3(4x + 3) + 4(6x + 1) = 43
12. –5(1 – 5x) + 5(-8x –2) = -4x –8x
Multiplying Polynomials.
Find each product.
13. 6v(2v + 3)
14. 7(-5v – 8)
15. 2x(-2x – 3)
16. –4(v + 1)
17. (2n + 2)(6n + 1)
18. (4n + 1)(2n + 6)
19. (x – 3)(6x –2)
20. (2a –1)(8a – 5)
21. (5n + 6)(5n – 5)
Factor completely.
22. x2 –14x + 45
23. x2 + 17x + 60
24. x2 –18x + 80
25. x2 –10x + 16
26. x2 –6x + 9
27. x2 –7x + 6
28. x2 + 20x + 99
29. x2 + 3x – 18
30. x2 –3x – 88
31. x2 + 11x + 30
32. x2 + x – 30
33. x2 – 3x – 70
34. –4x – 2y = -12
4x + 8y = -24
35. 4x + 8y = 20
-4x + 2y = -30
36. x – y = 11
2x + y = 19
37. –6x + 5y = 1
6x + 4y = -10
38. –2x –9y = -25
-4x –9y = -23
39. 8x + y = -16
-3x + y = -5
40. –6x + 6y = 6
-6x + 3y = -12
41. 7x + 2y = 24
8x + 2y = 30
42. –4x + 9y = 9
x – 3y = -6
Solve each system of equations.
43. –7x + y = -19
-2x + 3y = -19
Algebra Review 3
Name __________________________________________
Write the slope-intercept form of the equation.
1. 3x – 2y = 12
2. x + y = 7
3. –13 + 6y = x
4. –2y = 24 + 6x
5. 49x – y + 558
6. 3x + 14y + -56
7. –1/6y – 1/6 = x
8. 10x – 3y = 56
9. –13/6 = -1/6y + 1x
10. –14x = 1322 + 48y
11. 9x + 16y = 528
12. 18x = 636 + 38y
13. 2x + 15y = -402
14. X = 4 – 5/4y
15. 8x + 3y = 1
16. 7x – 2y = -39
17. 7/3y – 7 = x
18. 9x –50y = 167
Algebra Review 4
Name ____________________________________________
Find the slope and the y-intercept of the line.
1. y = 2x + 8
2. Y = -4x + 8
3. Y = -35/44 x + 629/44
4. y = 82/31 x + 203/31
5. Y = 7/3x – 25/3
6. Y = -2/13x + 51/13
7. 4x – 3y = 28
8. 5x – 3y = 19
9. 9x + 7y = 51
10. 13x – 8y = -711
11. 6x + 7y = -84
12. 37x – 23y = 478
13. x = 9/2 + ½ y
14. –x = 12 + 4y
15. –3x = -648 + 27y
16. 4y = 20
17. 31y = -978 + 8x
18. 11x - 6y
6
= -6
Algebra Review 5
Name ____________________________________________
Graph each line.
1. y = -1/5x –2
2. y = -5x –1
3. y = -5/2x
4. y = -7x + 3
5. y = 2x –5
6. y = -6x + 1
7. y = 3x + 6
8. y = -x – 1
9. y = -x – ½
10. y = 4
11. 3y = -24
12. 5y = 8
Algebra Review 6
Name ____________________________________________
Given each graph, find the slope (m) and y-intercept (b) , then write the equation of the line
in slope intercept form. (For #2 and #4, find the slope only.)
1. m = ____________
b= __________
equation _________________________
b= __________
equation _________________________
5. m = ____________
b= __________
equation _________________________
6. m = ____________
b= __________
equation _________________________
7. m = ____________
b= __________
equation _________________________
8. m = ____________
b= __________
equation _________________________
9. m = ____________
b= __________
equation _________________________
2. m = ____________
3. m = ____________
4. m = ____________
Graph each line.
10. 2x + 4y = -8
11. x + y = -7
12. 2x + y = -1
13. –4x = 5 + y
14. y = x
15. x = 5