Download Int Math CDAS Sem I Final Review

Integrated Math Semester 1 Final Review 1. Simplify the expression
2. Solve
. Check your answer.
3. Solve
4. Solve
.
.
.
5. Solve the inequality
.
6. Solve the inequality a + 4  3 and graph the solutions.
7. Solve and graph the solutions of
. Write the solutions as a compound inequality.
8. Solve the inequality.
9. Evaluate
for
10. Simplify
.
and
.
11. The planet Mercury has an average distance from the sun of about 36,000,000 miles. Write this number in
scientific notation.
12. Simplify
13. Simplify
.
and write the answer in scientific notation.
Integrated Math Semester 1 Final Review 14. Simplify
.
15. Simplify
.
16. Simplify the expression
.
17. Find the slope of the line that contains
and
.
18. Find the slope of the line described by 2x – y = –8.
19. Write the equation that describes the line in slope-intercept form.
slope = –3, point (1, 4) is on the line
20. Write an equation in slope-intercept form for the line that passes through (1, 7) and (3, 6).
21. The equations of four lines are given. Identify which lines are parallel.
Line 1:
y = 6x – 3
Line 2:
y – 2 =  5 (x – 6)
Line 3:
y = 5x – 3
Line 4:
x–
1
1
6
y = –1
22. Identify the lines that are perpendicular:
;
23. Subtract.
;
;
Integrated Math Semester 1 Final Review 24. Multiply.
25. Multiply.
26. Multiply.
27. Divide.
28. Factor the polynomial
.
29. Factor x2 + 81x + 80.
30. Factor the trinomial
31. Factor
.
.
32. Determine whether
33. Factor
is a perfect square. If so, factor it. If not, explain why.
completely.
34. Find the axis of symmetry of the graph of
35. Find the vertex of the parabola
.
36. Graph y = –2x2 – 2x + 1.
37. Find the roots of
.
.
Integrated Math Semester 1 Final Review 38. Solve the quadratic equation
by factoring.
39. Solve the quadratic equation
by factoring.
40. Solve 144x2 – 121 = 0 by using square roots.
41. Solve
42. Solve
by completing the square.
by using the Quadratic Formula.
43. Simplify the rational expression
. Identify any excluded values.
44. Multiply. Simplify your answer.
45. Divide. Simplify your answer.
46. Subtract. Simplify your answer.
47. Divide.
48. Solve
49. Solve
. Check your answer.
. Check your answer.
Integrated Math Semester 1 Final Review 50. Solve
. Check for extraneous solutions.
Integrated Math Semester 1 Final Review Int Math Sem 1 Final Review
Answer Section
SHORT ANSWER
1. 20
2. x = 5
3.
= –5
4.
5. no solutions
6. a  –1
–10 –8
–6
–4
–2
0
2
4
6
8
–24 –22 –20 –18 –16 –14 –12 –10 –8
–6
10
7. x < – 9 OR x > 21
–4
8. The solution set is all real numbers.
9. 1
10.
11. 3.6  10 7
12.
13.
14.
15.
81
16
16. 13
17.
2
5
18. 2
–2
0
2
4
6
8
10
12
14
16
18
20
22
24
Integrated Math Semester 1 Final Review 19. y = –3x + 7
20. y =  2 x +
1
15
2
21. Lines 1 and 4 are parallel.
22.
and
are perpendicular;
and
23.
24.
25.
26.
27.
28.
29. (x + 1)(x + 80)
30.
31.
32. Yes,
is a perfect square.
33.
34.
35. (–2.5, 4.5)
36.
y
10
8
6
4
2
–10 –8
–6
–4
–2
–2
–4
–6
–8
–10
37. The only root is 2.
38. –5 and 3
2
4
6
8
x
are perpendicular.
Integrated Math Semester 1 Final Review 39. –1
11
40. ± 12
41. 14 and –2
42. x = 6 or x = 3
43. 4y; y
2 or 0
44.
45.
46.
47.
48. q =  13
4
49. x = 4
50. x = 3