See the attached file for questioins
Thehonest
1.doc1. Solve the expression: 5(B – 4) = 10
2. Solve the following equation for the variable L : p = 2L + 2w
3. Complete the following table for the equation y = x – 3
4. Find the slope-intercept equation of the line passing through (1,2) with a slope of m = 3?
5. Draw the graph of the following linear function and give the domain and range: f(x) = - ½x+5
6. Solve the following equation: | x | = 3
7. Give the inequality whose graph is shown below.
8. Evaluate the following expression when x = 3 and y = 2: 2xy – x² y
9. Completely factor the following expression: 16x^4 – 81y^4
10. Perform the following division: (y² + 10y + 21) ÷ (y + 7)
11. Solve the inequality below and write the solutions in interval notation: |2m + 3| < 13
12. Write the numeral 0.0685 in scientific notation
13. Given f(x) = -6x – 1, find f(2)
14. Write the equation of the line with a slope of 2 and passing through the point (-5, 3)
15. Simplify the following expression completely:
ab−3
3a−2b2 ⎛ ⎝⎜
⎞ ⎠⎟
2
ab
-3
3a
-2
b
2
æ
è
ç
ö
ø
÷
2
16. Solve the system of equations given below :
17. Do the following lines intersect? Yes or no, together with the point of intersection, if any exists.
18. Compute the determinant :
4 0 −1 3 6 −2 −2 5 1
= 4 6 −2 5 1
− 0 3 −2 −2 1
+ −1( ) 3 6 −2 5
= 4 6 1( )− 5 −2( )⎡⎣ ⎤⎦ − 0+ −1( ) 3 5( )− −2( ) 6( )⎡⎣ ⎤⎦
= 4 6+10[ ]− 15+12[ ]
= 4 16( )− 27
= 64 − 27
= 37
40-1
36-2
-251
=4
6-2
51
-0
3-2
-21
+-1
()
36
-25
=461
()
-5-2
()
é
ë
ù
û
-0+-1
()
35
()
--2
()
6
()
é
ë
ù
û
=46+10
[]
-15+12
[]
=416
()
-27
=64-27
=37
19. Compute the distance between the two points (1 – √2 , -1) and (2 + √2, 4)
20. Rationalize the denominator of
2 7 x + 7
27
x+7
21. At what x values does the parabola y= x² – 5x +4 intersect at the x axis?
22. The surface area (A) of a sphere with radius (R) is given by A = 4 ∏r². Solve this formula for R.
