Download Summer Math Assignment for Incoming MESA 9 students

Summer Math Assignment for Incoming MESA 9 students
Each student should complete the assignment. Record answers on the Solution sheet at the
end. Your answers are due the first day of class; turn in ONLY the Solution Page.
I
NON-CALCULATOR SECTION
1. True or False: If a and b are non-zero real numbers then
3 3
3
+ =
a b a+b
a+b a b
= +
c+d c d
2. True or False: If c and d are non-zero real numbers then
3. True or False: If c is a non-zero real numbers then
a+b a b
= +
c
c c
4. True or False: If b and c are non-zero real numbers then
5. True or False: If 10u + v and u + v are nonzero, then
a
a a
= +
b+c b c
10t + u t + u
=
10u + v u + v
4 2
=
9 3
7. True or False: If a and b are non-negative real numbers then √ ∙ √a=√
6. True or False:
8. True or False: √16 = ±4
9. True or False: (a + b)2 = a2 + b2
10. True or False: If a and b are non-negative real numbers then √ 11. True or False: If b is a non-zero real numbers then
a
a
=
b
b
12. True or False: If a and b are non-negative real numbers then
13. True or False: -32=9
14. True or False:
1
3
( −6 ) = −23
3
15. True or False: If a + b = 0 then either a = 0 or b = 0
16. True or False: (2x)2 = 2x2
17. True or False: If ac < bc, then a < b.
a+b = a + b
II Calculator Section
3 x + 2 y = 13
1. What is the x coordinate of the solution to the system 
5 x = 2 y + 11
2. Write a system of inequalities for the graph at right.
3. Solve for x: y = mx + b
4. Find the equation of a line parallel to y= ½ x + 3 through the point (-2, -3)
5. Find the equation of a line perpendicular to 3x + 6y = 12 through the point (8, 1)
6. Find the length and midpoint of the segment with endpoints (-5, -2) and (-15, 20)
7.
Find the missing values in each triangle.
a.
8.
Solve the proportion:
9
= 36
x
9.
Solve the proportion:
4
2
=
x + 3 x −1
10. Solve the equation: 6 x 2 − 12 = 42
11. Solve the equation: x 2 − 8 x = −9
b.
Use the graph below to answer questions 8-14.
12. Find the y-intercept of the graph of f?
13. What is the slope of the segment OA ?
14. Write the equation of the line passing through points O and A.
15. Find f(2).
16. For which values of x is f(x) = 2?
17. For which values of x is f(x) positive?
18. For which values of x does f(x) have a positive slope?
19. Solve the inequality -3x – 12 < 18 and graph on a number line.
20. Solve the compound inequality -2 ≤ ½ x + 12 < 18 and graph on a number line.
21. Solve the absolute value equation |2x – 5| + 6 = 18
22. Solve the absolute value inequality |2x – 12| ≥ 16 and graph on a number line.
23. Simplify
24 + 3 54
24. Solve x 2 + 8 x − 4 = 0 using the quadratic formula.
25. Solve 2 x 2 − 6 x − 4 = x − 1
26. Factor completely 8 x 2 − 18 y 2
27. Factor completely 4 x 3 − 16 x 2 + 15 x
NAME:_______________________________
SECTION 1 Solution
1.
10.
2.
11.
3.
12.
4.
13.
5.
14.
6.
15.
7.
16.
8.
17.
9.
SECTION 2 Solutions
1.
2.
3.
4.
5.
6. Length:
8.
9.
Midpoint:
10.
11.
13.
14.
15.
16.
7 A x=
Y=
17.
18.
19.
20.
21.
22.
25.
7 B x=
Y=
12.
23.
24.
26.
27.
Rate the difficulty of this assignment on a scale of 1-10 with 1 being easy
and 10 being difficult: