Welcome to the
Intermediate Algebra
Final Exam Review Study Session
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Question 1
Write the equation of a line connecting the given points.
( 8 , 3 ), ( 5 , 4 )
Question 2
Find an equation of the line satisfying the conditions.
Through (6,7) ; parallel to 3 x  7 y  3
Question 3
Find an equation of the line satisfying the conditions.
Through (3,8) ; perpendicular to  3 x  4 y 
23
Question 4
Decide whether the relationship is a function.
{( 8 , 2 ), ( 8 , 8 ), (1, 3 ), ( 3, 3 ), ( 7 , 3 )}
Question 5
1
2
f
Solve the problem. Find   if f  x   5 x  8 x  6.
4
Question 6
Solve the system by substitution. Show graph below.
x y 2
x y 8
Question 7
Solve the system by substitution.
7
x
6
7x  6 y  0
y
Question 8
Solve the system by addition.
 7 x  4 y  24
 3 x  2 y  12
Question 9
Find the domain of the rational function. h( x) 
3
x 2  12 x  35
Question 10
Simplify the complex fraction.
2
x
x 1

4 8
4
Question 11
Perform the indicated operation and express in lowest terms.
3 x  26
x  18

x 2  2 x  24 x 2  2 x  24
Question 12
Solve the rational equation. 1 
3 7

2x 4
Question 13
Find the domain of the radical function.
f ( x)  23  x
Question 14
7 8
Express the radical in simplified form.  98k q
Question 15
Solve the radical equation.
6 x  10  7  0
Question 16-18
Solve by factoring.
x 2  2 x  80  0
4k 2  64  0
2k 2  7 k  4  0
Question 19
Use the square root property to solve the equation. 7 z 2  448  0
Question 20
Solve the problem using Galileo’s formula, d  16t 2 . (d is the distance above the ground and t is
the time)
Eric has a tree house 26 ft above the ground. How long would it take a water balloon
dropped from the tree house to fall to the ground?
Question 21
Use the quadratic formula to solve the equation.
z2 z 5
 
3 2 6
Question 22
Find the vertex of the parabola.
f ( x)  3 x 2  18 x  25
Question 23
Solve the problem.
John owns a hot dog stand. His profit, in dollars, is given by the function
P( x)   x 2  10 x  33 , where x is the number of hot dogs sold. What is the most he can
earn?
Question 24
Match the graph to the function listed whose graph most resembles the one given.
A)
B)
C)
D)
Absolute value function
Linear function
Reciprocal function
Square function
Question 25
Match the graph to the function listed whose graph most resembles the one given.
A)
B)
C)
D)
Square root function
Cube function
Cube root function
Square function