Welcome to the Intermediate Algebra

Final Exam Review Study Session

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Question 1Write the equation of a line connecting the given points. )4,5(),3,8(

Question 2Find an equation of the line satisfying the conditions.Through ; parallel to )7,6( 373 yx

Question 3Find an equation of the line satisfying the conditions.Through ; perpendicular to )8,3( 2343 yx

Question 4Decide whether the relationship is a function.

)}3,7(),3,3(),3,1(),8,8(),2,8{(

Question 5Solve the problem. Find if

41f .685 2 xxxf

Question 6Solve the system by substitution. Show graph below.

82

yxyx

Question 7Solve the system by substitution.

06767

yx

xy

Question 8Solve the system by addition.

12232447

yxyx

Question 9Find the domain of the rational function.

35123)( 2

xx

xh

Question 10Simplify the complex fraction.

81

4

24

xx

Question 11Perform the indicated operation and express in lowest terms.

24218

242263

22

xx

xxx

x

Question 12Solve the rational equation.

47

231 x

Question 13Find the domain of the radical function. xxf 23)(

Question 14Express the radical in simplified form.

8798 qk

Question 15Solve the radical equation. 07106 x

Question 16-18Solve by factoring.

08022 xx 0472 2 kk

0644 2 k

Question 19Use the square root property to solve the equation. 04487 2 z

Question 20Solve the problem using Galileo’s formula, . (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?

216td

Question 21Use the quadratic formula to solve the equation.

65

23

2

zz

Question 22Find the vertex of the parabola. 25183)( 2 xxxf

Question 23Solve the problem.

John owns a hot dog stand. His profit, in dollars, is given by the function , where x is the number of hot dogs sold. What is the most he can

earn? 3310)( 2 xxxP

Question 24Match the graph to the function listed whose graph most resembles the one given.

A) Absolute value functionB) Linear functionC) Reciprocal functionD) Square function

Question 25Match the graph to the function listed whose graph most resembles the one given.

A) Square root functionB) Cube functionC) Cube root functionD) Square function