Download Basic

Algebra
Unit Two: Assignment #1
An Introduction to Equation Solving
Basic
Determine if the given value of the variable is or is not a solution to the given equation.
Make sure to justify your answer by showing your work.
1.
3x – 4 = 17; x = 7
2.
4x + 3 = 12; x = 2
3.
7x + 5 = 3x – 4; x = 3
4.
6x + 9 = 2x + 25; x = 4
5.
3x2 + 2 = 30; x = 3
6.
7 = x2 – 9; x = 4
Solve each of the following equations by inspection.
7. x + 3 = 7
10.
2
3
x6
13. d – 7 = -4
16.
3
7
x9
8. n – 4 = 11
11.
x
6
5
9. 4m = -12
12. n + (-5) = -11
x
 -11
4
14. -8m = -32
15.
17. c + 3 = -9
18. k – (-4) = 2
5
x  -6
2
19. -5m = 42
20.
22. y + (-7) = 12
23. –x – 3 = -10
-
21.
x -1

2 6
24. -9w = -117
25.
3
x  -14
8
26.
28.
y–7=2
29. -5.3x = 66.8
30.
31.

32. n + (-1.4) = 9.3
33. d – (-3.5) = -1.6
34.
-4m = -94
x
 -14
2
35.

4
5
x
5
8
x  -12
27. –c + (-5) = 14
36.
-6
x  12
5
-x
 -35
7
Algebra
Unit Two: Assignment #1
An Introduction to Equation Solving
Proficient
Determine if the given value of the variable is or is not a solution to the given equation.
Make sure to justify your answer by showing your work.
37.
2(3x – 4) + 6 = 13; x = 3
38.
-4x + 2(3x -5) = -20; x = -5
39.
6(2x + 4) + 2x = 4x – 2(2x + 9); x = -3
40.
3x2 – 2x + 4 = 20; x = -2
41.
-2x2 + 7x – 1 = 5; x = 5
42.
x2 + 3x – 5 = 2x2 – 9; x = 4
43.
2(3)x = 162; x = 3
44.
4(2)x = 2(3)x; x = 2
Solve each of the following equations by guessing and checking.
45.
x2 – 3x – 10 = 0
46.
5x + 7 = -3x – 9
47.
4(2x – 5) + 3 = 15
48.
3(2)x – 5 = 19
49.
What does it mean to “solve an equation”?
50.
What is a solution to an equation?
51.
What is an inverse operation?