Download 4 7 4 −−−+ 2. Simplify: 3. Simplify: 4(2x – 5) – 3(8x + 6) 7 3 –16x – 38

Test 1
MAT 1111
Spring 2010
Name ____________________________
Simplify all answers and show your work!
1. Simplify: 4 + − 7 − − 4
2. Simplify:
7
3 2 + 12 ÷ 6 • 9
3. Simplify: 4(2x – 5) – 3(8x + 6)
2 + 49
3
–16x – 38
4. Solve for x: 4(3x + 4) – 6 = 2(x + 1) + 7x
x= −
5. Solve for x:
8
3
6. Solve for A: V =
5x 2x
−
=8
6
3
x = 48
A+5
I •W
7. a) Solve the inequality and graph the solution on a number line.
3(2x – 9) ≥ –6(x – 7) – 4x
A=V•I•W–5
8. Solve the inequality and graph
the solution on a number line.
–7 < 2 – 8x < 12
−
5
9
<x<
4
8
11. Solve for x: 5 x − 6 = 11
x=
17
, –1
5
x≥
69
16
Given sets A = {1, 2, 3, 4, 5, 6} and B = {1, 4, 7, 9}, find:
9. A ∪ B
10. A ∩ B
{1, 2, 3, 4, 5, 6, 7, 9}
12. Solve the inequality: 4 x − 7 > 5
x>3
or x <
1
2
{1, 4}
13. Find the slope of the following lines:
8
a) 9x – 4y = 14
b) y = 13 – x
3
9
4
−
c) Passing through (1, –2) and (–2, 2)
8
3
−
d) 3x = 5y + 4
4
3
3
5
14. Find the equation of the line having the following properties:
7
4
a) m = , (0, –5)
b) m = − , (–3, –1)
3
5
y=
7
x–5
3
4x + 5y = –17 or
c) Through (1, 2) and (–3, –7)
9x – 4y = 1 or y =
y= −
4
17
x–
5
5
d) Parallel to 4x + 3y = 2 and passing through (1, 4)
9
1
x–
4
4
4x + 3y = 16
or
y= −
4
16
x+
3
3
e) Perpendicular to 5x – 7y = 15 and passing through (2, 3).
7x + 5y = 29 or
y= −
7
29
x+
5
5
15. Graph the equation of the line: y =
3
x −1
4
16. Graph the equation of the line: 3x – 5y = 15