Download 9 3 −−− 2. Simplify: 25 4392 3. Simplify: 6(2x + 1) – 5(x – 5) –12 –2

Test 1
MAT 1111
Winter 2010
Name ____________________________
Simplify all answers and show your work!
1. Simplify: − 3 − − 9
2. Simplify:
–12
2 − 9 ÷3• 4
3. Simplify: 6(2x + 1) – 5(x – 5)
25
–2
4. Solve for x: –2(x – 4) + 6x = 3(2x – 7)
x=
29
2
6. Solve for a: A =
4
ab
3
7x + 31
5. Solve for x:
x 2x
−
=3
4 5
x = –20
7. a) Solve the inequality and graph the solution on a number line.
4(2x – 7) ≥ 5(x + 2) – 6
 32 
 3 ,∞


a=
3A
4b
8. Solve the inequality and graph
the solution on a number line.
–5 < 3 – 2x < 7
Given sets A = {2, 4, 5, 8, 9} and B = {3, 4, 5, 6}, find:
9. A ∪ B
10. A ∩ B
{2, 3, 4, 5, 6, 8, 9}
–2 < x < 4
11. Solve for x: 3x + 4 = 10
 14 
− , 2 
 3 
12. Solve the inequality: 2 x − 1 > 3
x > 2 or x < –1
{4, 5}
13. Find the slope of the following lines:
a) 5x – 7y = 29
b) y = 4 –
5
7
−
3
x
5
c) Passing through (2, –5) and (–4, 3).
3
5
−
4
3
14. Find the equation of the line having the following properties:
7
2
a) m = , (0, –3)
b) m = , (4, –2)
9
3
y=
7
x – 3 or 7x – 9y = 27
9
y=
c) Through (2, 5) and (4, 10)
y=
5
x
2
or
or
2x – 3y = 14
d) Parallel to 2x + 3y = 4 and passing through (2, –6)
5x – 2y = 0
15. Graph the equation of the line: y = −
2
14
x–
3
3
y= −
2
x+2
3
2
14
x–
3
3
or
2x + 3y = –14
16. Graph the equation of the line: – 4x + 5y = 20