Download Math-80-Practice Final Exam

Math-80-Practice Final Exam
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Instructions: Show all work neatly. Answers without support will receive no credit. Your answers will be evaluated on
the correctness, completeness and use of mathematical concepts we have covered.
Solve.
1) 3x - 6 + 6(x + 1) = 7x + 2
1)
Solve the compound inequality. Graph the solution set.
2) -32 -4c - 4 < -20
2)
Find the equation of a line passing through the pair of points. Write the equation in the slope-intercept form.
3) (10, -35) and (8, -27)
3)
Find the equation of the line satisfying the conditions given. Express the answer in standard form.
4) Through (-6, 3), perpendicular to -5x + 4y = 42
Solve the system by graphing.
5) y - 6x = 5
6y = 36x + 30
4)
5)
Solve the system of equations.
6)
y = 2x + 4
5y - 25x = -10
6)
1
Find the solution to the system by addition (elimination) method.
7) 2x + 12y = 12
7x - 4y = -4
7)
Graph the system of inequalities.
8) 3x - 2y -6
x-1<0
8)
Multiply.
9) (5y + 11)(3y2 - 2y - 2)
9)
Factor out the GCF from the polynomial.
10) 40x9 y8 + 36x6 y6 + 20x3 y2
10)
Solve the equation.
11) x2 + 9x - 22 = 0
11)
Simplify the radical expression. Assume that all variables represent positive real numbers.
12) 125k7 q8
12)
Multiply, and then simplify if possible. Assume all variables represent positive real numbers.
13) ( 6 + 2)( 6 - 2)
13)
Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.
7
14)
14)
9- 3
Solve.
15)
4x + 1 = 4
15)
Use the quadratic formula to solve the equation.
16) 5x2 - 3x - 8 = 0
16)
2
Multiply or divide as indicated. Simplify completely.
5xy5 -15x5 y7
·
17)
3x5 y6 20x7 y11
18)
17)
x2 + 7x + 12
x 2 + 8x
·
x2 + 12x + 32 x2 + 8x + 15
18)
Solve the equation.
1 30
19) 1 + =
x x2
20)
19)
2
4
8
=
x + 3 x - 3 x2 - 9
20)
Write the expression as the sum or difference of single logarithms.
7
16
21) log
5 x2 y
Write as a single logarithm.
22) log5 13 + log5 x + log5 6
22)
Find x.
23) log4 (x - 3) + log4 (x - 9) = 2
23)
24) log5 (5x + 5) = log5 (55)
24)
Solve for x.
25) 5 x = 125
25)
26) 3 2x + 1 = 27
26)
Solve the exponential equation. Leave the answer in exact form. Do not approximate.
27) 4 x + 8 = 5
3
27)
Answer Key
Testname: MATH-80-PRACTICEFINALEXAM-F14
1) x = 1
2) (4, 7]
3)
4)
5)
6)
7)
8)
y = -4x + 5
4x + 5y = -9
infinite number of solutions
(2, 8)
(0, 1)
9) 15y3 + 23y2 - 32y - 22
10) 4x3 y2(10x6 y6 + 9x3 y4 + 5)
11) -11, 2
12) 5k3 q4 5k
13) 4
63 + 7 3
14)
78
15)
15
4
16)
8
, -1
5
17) 18)
5
4x6 y5
x
x+5
19) -6, 5
20) -13
1
log 16 - 2 log x - log y
21)
5
5
5
7
22) log5 78x
23) x = 11
24) x = 10
25) x = 3
26) x = 1
4
Answer Key
Testname: MATH-80-PRACTICEFINALEXAM-F14
27) x =
log 5 - 8 log 4
log 4
5