Deck 5: Exponents and Polynomials

Question 1

Choose the one alternative that best completes the statement or answers the question.

Decide whether or not the ordered pair is a solution of the system.

-( 1, 4)
X + y = 5
X - y = -3

Answer 1

True

Question 2

Choose the one alternative that best completes the statement or answers the question.

Decide whether or not the ordered pair is a solution of the system.

-( -3, 6)
X + y = 9
X - y = -3

Answer 2

False

Question 3

Choose the one alternative that best completes the statement or answers the question.

Decide whether or not the ordered pair is a solution of the system.

-( 1, -6)
4x + y = -2
3x + 4y = -21

Answer 3

True

Question 4

Choose the one alternative that best completes the statement or answers the question.

Decide whether or not the ordered pair is a solution of the system.

-( -3, 2)
4x + y = -14
3x + 4y = -17

Question 5

Choose the one alternative that best completes the statement or answers the question.

Decide whether or not the ordered pair is a solution of the system.

-( 1, -5)
4x = -1 - y
2x = -18 - 4y

Question 6

Choose the one alternative that best completes the statement or answers the question.

Decide whether or not the ordered pair is a solution of the system.

-( 3, -2)
4x = -14 - y
3x = -17 - 4y

Question 7

Solve the system by graphing.

-3x + y = 12
X + 2y = 14

A) {( 2, 6)}
B) {( 2, 1)}
C) {( 6, -6)}
D) {( -2, 6)}

Question 8

Solve the system by graphing.

-3x - 2y = 25
2x + 3y = 21

A) {( 1, 9)}
B) {( 3, 15)}
C) {( 9, 1)}
D)

Question 9

Solve the system by graphing.

-9x + y = 26
9x + y = 89

A) {(0, 0)}
B) {( 9, 8)}
C) {(x, y)| 9x + y = 26}
D)

Question 10

Solve the system by graphing.

-4x + y = 16
16x + 4y = 64

A) {(5, -4)}
B) {(0, 16)}
C) {(x, y)| 4x + y = 16}
D)

Question 11

Solve the system by graphing.

-x - y = 4
X + y = 10

A) {( 6, 14)}
B) {( 7, 3)}
C) {( 3, 7)}
D) {( 14, 6)}

Question 12

Solve the system by graphing.

-x + 8y = 8
5x - 3y = -3

A) {(0, 0)}
B) {(1, 1)}
C) {(1, 0)}
D) {(0, 1)}

Question 13

Solve the system by graphing.

-2x + y = 0
Y = 3x + 5

A) {( -2, -1)}
B) {( 2, -4)}
C) {( -1, 2)}
D) {( 2, -1)}

Question 14

Without graphing, tell if the system is inconsistent, the equations are dependent, or neither.

-x + 4y = 24
6x - 3y = 9

A) Inconsistent
B) Dependent
C) Neither

Question 15

Without graphing, tell if the system is inconsistent, the equations are dependent, or neither.

-x + 5y = 20
2x + 10y = 40

A) Neither
B) Inconsistent
C) Dependent

Question 16

Without graphing, tell if the system is inconsistent, the equations are dependent, or neither.

-x + y = -6
X - y = 10

A) Dependent
B) Neither
C) Inconsistent

Question 17

Without graphing, tell if the system is inconsistent, the equations are dependent, or neither.

-x + y = -5
2x - 2y = -5

A) Inconsistent
B) Dependent
C) Neither

Question 18

Without graphing, tell if the system is inconsistent, the equations are dependent, or neither.

-12x + 4y = 20
3x + y = -5

A) Dependent
B) Neither
C) Inconsistent

Question 19

Decide if the graph of the system is a pair of parallel lines, intersecting lines, or one line.

-x + 5y = 28
6x - 4y = -2

A) One Line
B) Parallel
C) Intersecting

Question 20

Decide if the graph of the system is a pair of parallel lines, intersecting lines, or one line.

-x + 3y = 11
2x + 6y = 22

A) Parallel
B) One Line
C) Intersecting

Question 21

Decide if the graph of the system is a pair of parallel lines, intersecting lines, or one line.

-x + y = -1
X - y = 7

A) One Line
B) Parallel
C) Intersecting

Question 22

Decide if the graph of the system is a pair of parallel lines, intersecting lines, or one line.

-x + 5y = 36
2x + 10y = 78

A) Intersecting
B) One Line
C) Parallel

Question 23

Decide if the graph of the system is a pair of parallel lines, intersecting lines, or one line.

-x = 33
2x - 6y = -30

A) Parallel
B) One Line
C) Intersecting

Question 24

Does the system have one solution, no solution, or an infinite number of solutions?

-x + y = 8
X + y = 2

A) One
B) Infinite number
C) No Solution

Question 25

Does the system have one solution, no solution, or an infinite number of solutions?

-5x - 25y = 20
Y = x -

A) One
B) No Solution
C) Infinite number

Question 26

Does the system have one solution, no solution, or an infinite number of solutions?

-5x - y = 6
X + 4y = 18

A) One
B) No Solution
C) Infinite number

Question 27

Does the system have one solution, no solution, or an infinite number of solutions?

-x - 8 = y
Y + 9 = x

A) One
B) Infinite number
C) No Solution

Question 28

Does the system have one solution, no solution, or an infinite number of solutions?

-2x - y = 5
-4x + 2y = -18

A) One
B) No Solution
C) Infinite number

Question 29

Does the system have one solution, no solution, or an infinite number of solutions?

-x - 2y = 5
2x - 4y = 18

A) No Solution
B) One
C) Infinite number

Question 30

Does the system have one solution, no solution, or an infinite number of solutions?

-3x = y + 3
6x - 2y = 3

A) One
B) Infinite number
C) No Solution

Question 31

Does the system have one solution, no solution, or an infinite number of solutions?

-x + 2y = 0
Y = - x

A) Infinite number
B) No Solution
C) One

Question 32

Does the system have one solution, no solution, or an infinite number of solutions?

-2x + 3y = 6
4x + 6y = 12

A) No Solution
B) Infinite number
C) One

Question 33

Does the system have one solution, no solution, or an infinite number of solutions?

-x - 3y = 6
3y + 1 = x

A) One
B) Infinite number
C) No Solution

Question 34

Solve the problem.

-Deepak doesn't trust banks, so his savings are hidden under his mattress. Alla has her savings in an investment at simple interest. In approximately what year did they have the same amount?

A) 1986
B) 1989
C) 1988
D) 1996

Question 35

Solve the problem.

-The graphs below represent the supply and demand for a product at various prices per unit. At what price does supply equal demand?

A) $177
B) $650
C) $900
D) $400

Question 36

Solve the problem.

-The graphs below represent the supply and demand for a product at various prices per unit. How many units should be produced so that supply equals demand?

A) 2255 units
B) 2250 units
C) 28.6 units
D) 42,900 units

Question 37

Solve the problem.

-A company manufactures three products. The graph shows the production from 1986 to 1996. In what year did the production of B equal the production of C?

A) 1990
B) 1996
C) 850,000
D) 800,000

Question 38

Solve the problem.

-A company manufactures three products. The graph shows the production from 1986 to 1996. What was the level of production when the production of C equaled the production of A?

A) 800,000
B) 500,000
C) 600,000
D) 400,000

Question 39

Find the equations of the system shown on the graphing calculator screen.

-

A) x + y = 1x - 3y = -9
B) 3x - y = 95x + y = 7
C) x - 3y = 9x + 2y = -1
D) 5x + y = 7x + 2y = -1

Question 40

Find the equations of the system shown on the graphing calculator screen.

-

A) 5x + y = 7x + 2y = -1
B) 3x - y = 95x + y = 7
C) x + y = 1x - 3y = -9
D) 4x - y = -163x + y = -5

Question 41

Find the equations of the system shown on the graphing calculator screen.

-

A) y = 2x + 1y = -0.3x - 5.9
B) 3x - y = 95x + y = 7
C) y = 0.4x - 4.6y = 2x - 11
D) x + y = 1x - 3y = -9

Question 42

Find the equations of the system shown on the graphing calculator screen.

-

A) y = 2x + 1y = -0.3x - 5.9
B) x - 5y = -16x + 3y = 8
C) 5x - y = 202x + y = 1
D) x + y = 1x - 3y = -9

Question 43

Find the equations of the system shown on the graphing calculator screen.

-

A) 5x + y = 202x - y = 1
B) x + y = 1x - 3y = -9
C) y = 2x + 1y = -0.3x - 5.9
D) 2x + y = 15x - y = 20

Question 44

Find the equations of the system shown on the graphing calculator screen.

-

A) x + y = 1x - 3y = -9
B) y = 0.2x + 5.4y = 3x + 11
C) y = 0.4x - 4.6y = -0.3x - 5.9
D) y = 2x + 1y = -0.3x - 5.9

Question 45

Find the equations of the system shown on the graphing calculator screen.

-

A) 5x + y = 202x - y = 1
B) y = 2x + 1y = -0.3x - 5.9
C) x + 4y = 22x - 2y = -8
D) x + y = 1x - 3y = -9

Question 46

Find the equations of the system shown on the graphing calculator screen.

-

A) 5x + y = 7x + 2y = -1
B) x + y = 1x - 3y = -9
C) 3x + y = 95x - y = 7
D) 3x - y = 95x + y = 7

Question 47

Find the equations of the system shown on the graphing calculator screen.

-

A) x + y = 1x - 3y = -9
B) y = 2x - 1y = 0.3x - 5.9
C) y = 2x + 1y = -0.3x - 5.9
D) y = 0.4x - 4.6y = -0.3x - 5.9

Question 48

Find the equations of the system shown on the graphing calculator screen.

-

A) 5x + y = 202x - y = 1
B) x + y = -1x + 3y = -9
C) y = 2x + 1y = -0.3x - 5.9
D) x + y = 1x - 3y = -9

Question 49

Use a graphing calculator to solve the system.

-3x - y = 16
4x + y = 26

A) {( 2, 6)}
B) {( 6, 3)}
C) {( 6, 2)}
D)

Question 50

Use a graphing calculator to solve the system.

-2x + y = 0
X + 5y = -9

A) {( 1, 0)}
B) {( -1, -2)}
C) {( -1, 2)}
D) {( 1, -2)}

Question 51

Use a graphing calculator to solve the system.

-5x + 5y = 0
2x - 2y = 10

A) {( 2.5, -3.5)}
B) {( -2.5, 3.5)}
C) {( -1.5, 2.5)}
D) {( 2.5, -2.5)}

Question 52

Provide an appropriate response.

-When two linear equations are solved for y and the slopes are equal and the y-intercepts are the same, the lines are _________ ?

A) Intersecting
B) Parallel
C) One Graph

Question 53

Provide an appropriate response.

-When two linear equations are solved for y and the slopes are different and the y-intercepts are different, the lines

A) Intersecting
B) One Graph
C) Parallel

Question 54

Provide an appropriate response.

-If the y term is missing in only one of two linear equations, the lines are_________ ?

A) Parallel
B) Intersecting
C) One Graph
D) Parallel or One Graph

Question 55

Provide an appropriate response.

-Decide if the system has one solution, no solution, or an infinite number of solutions.
X + y = 5
X + y = 4

A) No solution
B) One
C) Infinite number

Question 56

Provide an appropriate response.

-Decide if the system has one solution, no solution, or an infinite number of solutions.
2x - 4y = 2
Y = x -

A) Infinite number
B) No solution
C) One

Question 57

Provide an appropriate response.

-Decide if the system has one solution, no solution, or an infinite number of solutions. 6x - y = 22
X + 5y = 14

A) One
B) No solution
C) Infinite number

Question 58

Write the word or phrase that best completes each statement or answers the question.
- Why could ( -5, -7) not be a solution of the system that is graphed?

Question 59

Choose the one alternative that best completes the statement or answers the question.
Solve by the substitution method.

-x + 7y = -22
2x + 6y = -12

A) {( 6, -4)}
B) {( -6, -3)}
C) {( 5, -3)}
D)

Question 60

Choose the one alternative that best completes the statement or answers the question.
Solve by the substitution method.

-x - 3y = 9
-2x - 2y = 6

A) {( 1, -4)}
B) {( 3, 0)}
C) {( 0, -3)}
D)

Question 61

Choose the one alternative that best completes the statement or answers the question.
Solve by the substitution method.

-x - 3y = -6
7x - 2y = -42

A) {( 6, -1)}
B) {( -6, 0)}
C) {(x, y)|x - 3y = -6}
D)

Question 62

Choose the one alternative that best completes the statement or answers the question.
Solve by the substitution method.

-8x + 4y = -12
-5x - 2y = 9

A) {( -3, 3)}
B) {( -3, 4)}
C) {( -4, 4)}
D)

Question 63

Choose the one alternative that best completes the statement or answers the question.
Solve by the substitution method.

-6x + 6y = 6
-3x - 3y = -3

A) {( 0, 2)}
B) {( 0, 1)}
C) {( -1, 2)}
D)

Question 64

Choose the one alternative that best completes the statement or answers the question.
Solve by the substitution method.

-9x - 7y = 9
7x + 2y = 7

A) {( 1, 0)}
B) {( 0, 1)}
C) {(x, y)| 9x - 7y = 9}
D)

Question 65

Choose the one alternative that best completes the statement or answers the question.
Solve by the substitution method.

--7x + 99 = 6y
3x - 2y = 15

A) {( 9, 6)}
B) {( 8, 7)}
C) {(x, y)| 3x - 2y = 15}
D)

Question 66

Choose the one alternative that best completes the statement or answers the question.
Solve by the substitution method.

-x + y = -6
X + y = 1

A) {(0, -5)}
B) {( -6, 1)}
C) {(x, y)|x + y = -6}
D)

Question 67

Choose the one alternative that best completes the statement or answers the question.
Solve by the substitution method.

-x + y = 3
9x + 9y = 27

A) {(0, 0)}
B) {( 7, -4)}
C) {(x, y)| x + y = 3}
D)

Question 68

Choose the one alternative that best completes the statement or answers the question.
Solve by the substitution method.

- = 5
9x = 10 + 9y

A)
B)
C) {(x, y)| = 5}
D)

Question 69

Clear fractions then solve by substitution.

- x + y= 5
X - y = 6

A) {( 7, 3)}
B) {( 8, 2)}
C) {( -8, 3)}
D)

Question 70

Clear fractions then solve by substitution.

- x + y = 1
x - y = -

A) {( -6, 8)}
B) {( 6, 9)}
C) {( -7, 9)}
D)

Question 71

Clear fractions then solve by substitution.

- - =
+ =

A)
B)
C)
D)

Question 72

Clear fractions then solve by substitution.

- - = -18
+ = -9

A) {(-12, 0)}
B) {(12, 0)}
C) {(x, y)| 3x - y = -108}
D)

Question 73

Clear fractions then solve by substitution.

- + = 4
- 2y = 21

A) {(6, -8)}
B) {(-6, 8)}
C) {(x, y)| 7x + 5y = 48}
D)

Question 74

Clear fractions then solve by substitution.

- - = -
=

A)
B)
C)
D)

Question 75

Clear fractions then solve by substitution.

-3x - = 10
- =

A)
B)
C)
D)

Question 76

Clear fractions then solve by substitution.

-x + y = y - 3
x - y = 5x - y

A) {(0, 4)}
B) {(1, 4)}
C) {( 5, 0)}
D)

Question 77

Solve by the substitution method.

-0.6x + 0.4y = 1.2
0)7x - 0.1y = 3.1

A) {( 4, -3)}
B) {(x, y)| 0.6x + 0.4y = 1.2}
C)
D) {( -3, 4)}

Question 78

Solve by the substitution method.

-0.9x + 0.7y = -2.9
X - 0.2y = -4.2

A) {( -0.4, 0.1)}
B) {( -4, 1)}
C) {( 1, -4)}
D)

Question 79

Solve by the substitution method.

--0.5x - 0.5y = -0.5
0)3x - 0.2y = -0.7

A) {( 2.3, 6.5)}
B) {( -1.6, 4.3)}
C)
D) {( -1, 2)}

Question 80

The graphing calculator screens show a system and the point of intersection. Choose the screen which best represents the given system.

-Y = -x + 5
Y = x

A)
B)
C)
D)