Algebra help

pictures are below: 50 algebra questions including radicals, matrices, and extraneous solutions

1.
Divide and simplify 12xy
V3x
2×4 FT
a.
b.
C.
AXA Jy
44² Fy
2×3 Jy
d.
2.
Multiply and simplify 324 • 33.
$72
972
a.
b.
C.
2359
d.
श
3.
A combination lock has 40 numbers on it. How many ways different 3-digit lock combinations are possible if
no digit can be repeated?
a.
b.
9880 ways
19,760 ways
59,280 ways
2,988,000 ways
C.
d.
4.
Expand this binomial (x – 3).
a. x3-9×2
b. X² – 27
x3 – 9×2 + 27x-27
d. x3 + 9×2 + 27x + 27
C.
5.
a.
Simplify this expression 75 +2 +48 -5.13.
8.15
3.18
1813
b.
C.
d.
8.3
–
6.
Solve this equation and check for extraneous solutions
(1+ 8x)2 – 2 = x.
a.
b.
x = 1,3
x= -1, -3
x=-1,3
x = 1, -3
C.
d.
7. Simplify this radical & 4096×42.
a.
64x?
64836
b.
C.
4×36
d.
4×7
8.
Let f(x) = x3 and g(x) = 3x – 1. Evaluate (fog)(5).
2744
b. 1750
896
d. 374
C.
9.
a.
Divide (x3 + 12x + 11) by (x + 2).
x2 + 4x -8, R 13
b. x2 – 2x + 16, R 43
x2 – 2x + 16 R-21
d. x² – 8,
R12
C.
10. State the number of roots for this function 4×6 – X5 – 24 = 0.
3
b. 4
5
do o o
6
11. Find the domain of this function y=-1 – 4x + 20
a.
b.
all real numbers
ys-1
x 2-5
XS-1
C.
d.
a.
12. Margery got a total of 249 points on three tests. The combined scores on the first two tests were 95 more
than the score on the third test. The score on the second test was 6 points more than the score on the first
test. Write a matrix equation for this situation.
11 1 171x [2497
1 1 1 y = 95
1 1 1 2
6
b. 11 1 х 6
1 1 -1 y = 95
-1 1 0 ]LZ
249
11 1 17 x T2497
1 1 0 y = 95
1 1 0]
6
11 1
2497
1 1 -1 | y1= 95
-1 1 0 ]Z] [6
C.
d.
1
I
13. Find f-1 if f(x) = x2 – 2.
a. f-1 = + (x+2
b. f-1 = x+2;X2-2
f-1 = 2 – x
d. f- = X-2
C.