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Exam 5 Review Sheet Ch 4 and 7.1,7.2 Math0308

Name___________________________________

Follow the given direction for each problem. GOOD LUCK!

Determine whether the ordered pair is a solution of the system of linear equations.1) (-6, -2);

3x = -19 - yx - 4y = 2

1)

Objective: (4.1) Determine if an ordered pair is a solution of a system of equations in two variables.

Solve the system of equations by graphing.

2) 3x + y = 72x + y = 4

2)

Objective: (4.1) Solve a system of linear equations by graphing.

3) 2x + y = 4x = 3

3)


1

4)x +

14

y = -5

x = -44)


5) x + 3y = -102x - 3y = 7

5)


Solve the system of equations by the substitution method.

6) 3x + 4y = -114x = 5y

6)

Objective: (4.2) Use the substitution method to solve a system of linear equations.

Solve the system of equations by the addition method.

7) x + y = -9x - y = -9

7)

Objective: (4.3) Use the addition method to solve a system of linear equations.

8) x + 7y = 69-5x + 6y = 24

8)


9) 8x + 5y = 60-2x - 5y = -90

9)


2

10)

x4

+y4

= 1

x5

-y5

=125

10)


11) 0.02x - 0.08y = -0.360.2x + 0.6y = 2

11)


Solve the system of equations by either the addition method or the substitution method.

12)

x + 33

=y + 15

6x4

=2y + 8

812)

Objective: (4.3) Solve a system of linear equations by either the addition or the substitution method.

Solve.13) The sum of two numbers is 4. Five times the first number equals 3 times the second

number. Find the two numbers.13)

Objective: (4.4) Use a system of equations to solve problems.

14) Devon purchased tickets to an air show for 8 adults and 2 children. The total cost was $146.The cost of a child's ticket was $7 less than the cost of an adult's ticket. Find the price of anadult's ticket and a child's ticket.

14)


15) Jamil always throws loose change into a pencil holder on his desk and takes it out everytwo weeks. This time it is all nickels and dimes. There are 6 times as many dimes asnickels, and the value of the dimes is $4.40 more than the value of the nickels. How manynickels and dimes does Jamil have?

15)


16) Doreen and Irena plan to leave their houses at the same time, roller blade towards eachother, and meet for lunch after 4 hours on the road. Doreen can maintain a speed of 8miles per hour, which is 80% of Irena's speed. If they meet exactly as planned, what is thedistance between their houses?

16)


17) The three angles in a triangle always add up to 180°. If one angle in a triangle is 48° and thesecond is 3 times the third, what are the three angles?

17)


Find any numbers for which the rational expression is undefined.

18) 3x - 3 18)

Objective: (7.1) Identify values for which a rational expression is undefined.

3

19) 4y - 5y2 - 36

19)

Objective: (7.1) Identify values for which a rational expression is undefined.

Simplify the expression.

20) 364m - 12 20)

Objective: (7.1) Simplify or write rational expressions in lowest terms.

21) 9 - mm - 9 21)


22) 5x - 25x2 - 25

22)


23) 3x - 3y3y - 3x 23)


24) y2 + 6y + 8y2 + 12y + 32

24)


25) 8x2 - 21x + 10x - 2

25)


Find the product and simplify.

26) 2z33

·6z2 26)

Objective: (7.2) Multiply rational expressions.

27) 3y6y + 3

·14y + 7

5 27)


28) (r - y)2r + y

·r

r2 - ry28)


4

29) x2 + 9x + 18x2 + 12x + 27

·x2 + 9x

x2 + 2x - 2429)


Find the quotient and simplify.

30) 4x9

9x2÷

16x36x5 30)

Objective: (7.2) Divide rational expressions.

31) (x + 1)(x + 7)2x

÷5x + 510x3 31)


32) x2 - 20x + 1004x - 40

÷11x - 110

4432)


5

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