Download REVIEW FOR TEST 4

REVIEW FOR TEST 4
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the system by substitution.
1) x - 4y = 10
x = 5y
4 10
,
A)
9 9
1)
B) {(50, 10)}
C) {(10, 50)}
D) {(-50, -10)}
Solve the system. If the system has infinitely many solutions, write the solution set with x arbitrary.
2) 6x + 5y = 7
12x + 10y = 5
4 6
7 6
A) x , - x
B)
C) {(0, 0)}
D) x, - x
5 5
5 5
Solve the system by elimination.
3) x + 3y = -15
-4x + 4y = -20
A) {(0, -5)}
3)
B) {(1, -6)}
C)
D) {(5, 0)}
Evaluate the logarithm.
1
4) log
3 3
A) 1
Write in logarithmic form.
5) 5 2 = 25
A) log 25 5 = 2
4)
B) -1
C) 3
D) 0
B) log 2 25 = 5
C) log 5 2 = 25
D) log 5 25 = 2
Write an equivalent expression in exponential form.
6) log 1024 = 5
4
A) 5 4 = 1024
B) 10245 = 4
Find the value of the determinant.
9) 8 -1
4 -6
A) -52
5)
6)
C) 4 5 = 1024
Solve the equation and express the solution in exact form.
7) log (x + 9) = 1 - log x
A) {-1}
B) {1}
8) ln(21x + 4) = ln 10
2
A) 7
2)
C) {-10, 1}
2
B)
3
C)
5
21
D) 4 1024 = 5
D) {-1, 10}
2
D)
7
7)
8)
9)
B) 16
C) -44
1
D) 44
Solve the equation. Round to the nearest thousandth.
10) 3 x = 23
A) {2.037}
B) {7.667}
C) {0.350}
D) {2.854}
Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
11) x2 + y2 = 36
x2 - y2 = 36
A) {(0, -6)}
B) {(6, 0), (-6, 0)}
C) {(6, 0)}
C)
B) They cannot be multiplied.
D)
+ 6 2
5 -2
5 1
4 -3
3 6
-7 -24
0 30
14)
B)
C)
-12 20
0 2
Perform the operation or operations when possible.
15) 4 -2 + -7 -2 - 5 -3
-7 -3
-7 6
-4 -6
A)
B)
6 3
2 -7
-18 -3
4 -3
16) -1 1
25
A)
12)
13)
3 -7 0
6 -24 30
Find the indicated matrix.
14) Let A = -3 5 . Find 4A.
02
A)
19
46
11)
D) {(0, 6), (0, -6)}
Find the values of the variables for which the statement is true, if possible.
12) 2 -1 = x -1
3 5
y z
A) x = 3; y = 5; z = 2
B) x = -2; y = -3; z = -5
C) x = -2; y = 5; z = 3
D) x = 2; y = 3; z = 5
Find the matrix product when possible.
0 -2 6
13) -1 3
36
1 -3 2
A)
0 -6 12
3 -18 12
10)
-12 5
02
D)
-12 20
0 8
15)
C)
D)
-8 -1
-10 9
16 -3
-4 -15
16)
B)
C)
18
2
53
73
D)
34
-1 3
Find the dimension of the matrix.
17) -8 -1 8
-9 9 -8
A) 2 × 3
C) -8, -1, 8, -9, 9, -8
17)
B) 6
D) 3 × 2
3
Answer Key
Testname: UNTITLED1
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
11)
12)
13)
14)
15)
16)
17)
B
B
A
B
D
C
B
D
C
D
B
D
C
D
C
C
A
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