Math 55

11/22/2020 Mid-Chapter 3 Review-Natalie Banks

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1.

Student: Natalie Banks Date: 11/22/20

Instructor: Sam Pearsall Course: Math 55, Oct-Dec F20 Assignment: Mid-Chapter 3 Review

Solve the system of functions by graphing. Then classify the system.

f(x) x= − 1 g(x) x= − 4 + 9

Use the graphing tool to graph the system.

What is the solution of the system? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The solution is . (Type an ordered pair.)

B. There are infinitely many solutions. C. There is no solution.

Is the system consistent or inconsistent?

Consistent Inconsistent Are the equations dependent or independent?

Independent Dependent

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y

11/22/2020 Mid-Chapter 3 Review-Natalie Banks

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2. Solve the system of equations by graphing. Then classify the system.

x y+ = 8 x y− = − 2

Use the graphing tool to graph the system.

What is the solution of the system? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The solution is . (Type an ordered pair.)

B. There are infinitely many solutions. C. There is no solution.

Is the system consistent or inconsistent?

consistent inconsistent

Are the equations dependent or independent?

independent dependent

-10 -8 -6 -4 -2 2 4 6 8 10

-10 -8 -6 -4 -2

2 4 6 8

10

x

y

YOU ANSWERED:

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y

11/22/2020 Mid-Chapter 3 Review-Natalie Banks

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3. Solve the system of equations by graphing. Then classify the system.

x y5 − 5 = 30 y x5 − 5 = − 30

What is the solution of the system? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The solution is . (Type an ordered pair.)

B. There are infinitely many solutions. C. There is no solution.

Is the system consistent or inconsistent?

Inconsistent

Consistent

Are the equations dependent or independent?

Dependent

Independent

Choose the correct graph below.

A.

-10 10

-10

10

x

y

B.

-10 10

-10

10

x

y

C.

-10 10

-10

10

x

y

D.

-10 10

-10

10

x

y

YOU ANSWERED: D.

Independent

11/22/2020 Mid-Chapter 3 Review-Natalie Banks

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4. Solve the system of equations graphically. Then classify the system as consistent or inconsistent and the equations as dependent or independent.

x y2 − 6 = 18 x y3 − 9 = − 9

Use the graphing tool to graph the system.

What is the solution of the system? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The solution is . (Type an ordered pair.)

B. There are infinitely many solutions. C. There is no solution.

Is the system consistent or inconsistent?

inconsistent

consistent

Are the equations dependent or independent?

independent

dependent

-10 -8 -6 -4 -2 2 4 6 8 10

-10 -8 -6 -4 -2

2 4 6 8

10

x

y

YOU ANSWERED:

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y

11/22/2020 Mid-Chapter 3 Review-Natalie Banks

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5.

6.

7.

8.

Solve the following system of equations by using the substitution method.

4x − 5y = − 35 6x + 59 y=

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The solution is .( − 10, − 1) (Type an ordered pair, using integers or fractions.)

B. There are infinitely many solutions. C. There is no solution.

YOU ANSWERED: B.

Solve using the substitution method.

   x  y− 9 + = 53 x y2 + 14 = 102

Select the correct choice below and fill in any answer boxes in your choice.

A. The solution is .( − 5,8) (Simplify your answer. Use integers or fractions for any numbers in the expression. Type an ordered pair.)

B. There are infinitely many solutions. C. There is no solution.

Solve by the elimination method.

x + y3 = 7 x− + y9 = 5

What is the solution of the system? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The solution is .(4,1) (Simplify your answer. Type an ordered pair. Use integers or fractions for any numbers in the expression.)

B. There are infinitely many solutions. C. There is no solution.

Solve by the elimination method.

x y3 + 8 = 17 x y8 − 8 = − 72

What is the solution of the system? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The solution is .( − 5,4) (Simplify your answer. Type an ordered pair. Use integers or fractions for any numbers in the expression.)

B. There are infinitely many solutions. C. There is no solution.

11/22/2020 Mid-Chapter 3 Review-Natalie Banks

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9.

10.

11.

12.

Solve the following system of equations by the elimination method.

a4 + b = 20 a + b4 = − 10

What is the solution of the system? Select the correct choice below, and fill in the answer box if necessary.

A. The solution is .(6, − 4) (Type an ordered pair. Use integers or fractions for any numbers in the expression.)

B. There are infinitely many solutions. C. There is no solution.

YOU ANSWERED: A.: ( − 4,4)

Solve the following system of equations by the elimination method.

x5 + y4 = 62 x4 + y5 = 64

What is the solution of the system? Select the correct choice below, and fill in the answer box if necessary.

A. The solution is . (Type an ordered pair. Use integers or fractions for any numbers in the expression.)

B. There are infinitely many solutions. C. There is no solution.

Solve by the elimination method.

x y3 − 6 = 2 x y 3 − 6 = 3

What is the solution of the system? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The solution is . (Simplify your answer. Type an ordered pair. Use integers or fractions for any numbers in the expression.)

B. There are infinitely many solutions. C. There is no solution.

Solve by the elimination method.

x y3 + 4 = 3 x y6 + 8 = 6

What is the solution of the system? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The solution is . (Simplify your answer. Type an ordered pair. Use integers or fractions for any numbers in the expression.)

B. There are infinitely many solutions. C. There is no solution.

11/22/2020 Mid-Chapter 3 Review-Natalie Banks

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13.

14.

15.

16.

17.

Solve the following system of equations by the elimination method.

x 1 3

+ y 1 2

= 7

x 2 3

− y 5 2

= − 14

What is the solution of the system? Select the correct choice below, and fill in the answer box if necessary.

A. The solution is .(9,8) (Type an ordered pair. Use integers or fractions for any numbers in the expression.)

B. There are infinitely many solutions. C. There is no solution.

YOU ANSWERED: C.

Solve by the elimination method.

x y0.06 + 0.03 = − 0.15   x y0.5 − 0.8 = 6.1

Determine the solution of the system. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The solution is . (Type an ordered pair.)

(1, − 7)

B. There are infinitely many solutions. C. There is no solution.

YOU ANSWERED: B.

The remains of an ancient ball court include a rectangular playing alley with a perimeter of about m. The length of the alley is times the width. Find the length and the width of the playing alley.

60 five

The width is m and the length is m.5 25

$ is invested, part of it at % and part of it at %. For a certain year, the total yield is $ . How much was invested at each rate? 5400 11 7 498.00

$ was invested at %.11

$ was invested at %.7

is % ; is % . How many of each should be mixed together in order to get - that is % ?

Soybean meal 18 protein cornmeal 9 protein pounds 360 lb mixture 16 protein

of the should be in the mixture.80 pounds cornmeal

of the should be in the mixture.280 pounds soybean meal

11/22/2020 Mid-Chapter 3 Review-Natalie Banks

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18. Alvin paddled for hours with a -km/h current to reach a campsite. The return trip against the same current took hours. Find the speed of the boat in still water.

4 5 9

The speed of the boat in still water was km/h.

13

YOU ANSWERED: 5