See the attached file for questioins
1.
8 9 − 3 5 =
8
9
-
3
5
=
2. The quotient of two real numbers with different signs is negative.
3. Simplify the following expression:
xy−3
2x−2y2 ⎛ ⎝⎜
⎞ ⎠⎟
2
xy
-3
2x
-2
y
2
æ
è
ç
ö
ø
÷
2
4. Graph the following equation:
y = 2 3 x + 2
y=
2
3
x+2
5. What are the equation and slope of the y-axis?
6. Given f(x) = 2x – 8, find f(3).
7. Solve the following inequality. Give each result in set notation and graph it:
8. Solve the following inequality. Write the solution in interval notation and graph it.
9. Simplify the following product.
−2t3u t0u4 − 4t2u3( )
-2t
3
ut
0
u
4
-4t
2
u
3
()
10. Simplify the following expression fully:
1 a + 1 b
a b − b a
1
a
+
1
b
a
b
-
b
a
11. Solve the equation 7(x + 5) = x – 1
12. Completely factor the following expression: 16m4 – 1.
13. Write the numeral 0.0072 in scientific notation.
14. Perform the indicated operation and simplify completely.
15. Solve the following equation for r: d = rt
16. Solve the system of equations given below.
3x + y = 12
x – y – 2z = 10
2x + 3y + 5z = -7
17. Do the following two lines intersect? Answer yes or no, together with the point of intersection, if any.
18. Compute the determinant:
3 0 −1 6 −1 4 2 −2 −2
30-1
6-14
2-2-2
19.
Compute the distance between the two points
1− 2,−1( )
1-2,-1
()
and
2+ 2,4( )
2+2,4
()
20.
Rationalize the denominator of
5− x 5− y
5-x
5-y
21. The volume (V) of a cylinder with radius (r) and height (h) is given by V = πr2h.
Solve this formula for r.