Deck 4: Solving Systems of Linear Equations

Question 1

Without graphing, decide:
(a) Are the graphs of the equations are identical lines, parallel lines, or lines intersecting at a single point?
(b) How many solutions does the system have?

Answer 1

C

Question 2

Without graphing, decide:
(a) Are the graphs of the equations are identical lines, parallel lines, or lines intersecting at a single point?
(b) How many solutions does the system have?

Answer 2

C

Question 3

Without graphing, decide:
(a) Are the graphs of the equations are identical lines, parallel lines, or lines intersecting at a single point?
(b) How many solutions does the system have?

Answer 3

A

Question 4

Determine whether the ordered pair is a solution of the system of linear equations.

Question 5

Determine whether the ordered pair is a solution of the system of linear equations.

Question 6

Determine whether the ordered pair is a solution of the system of linear equations.

Question 7

Determine whether the ordered pair is a solution of the system of linear equations.

Question 8

Without graphing, decide:
(a) Are the graphs of the equations are identical lines, parallel lines, or lines intersecting at a single point?
(b) How many solutions does the system have?

Question 9

Solve the system of equations by graphing.

A) no solution
B) (-2, -1)
C) (-1, -2)
D) (-1, 2)

Question 10

Solve the system of equations by graphing.

A) (3, 6)
B) (-3, -6)
C) (-6, -3)
D) no solution

Question 11

Solve the system of equations by graphing.

A) (-5, 3)
B) no solution
C) (-5, 2)
D) (-3, 1)

Question 12

Determine whether the ordered pair is a solution of the system of linear equations.

Question 13

Solve the system of equations by graphing.

A) no solution
B) (1, -2)
C) (-2, 1)
D) (2, -1)

Question 14

Determine whether the ordered pair is a solution of the system of linear equations.

Question 15

Solve the system of equations by graphing.

A) (-2, -4)
B) (2, -4)
C) (-2, 4)
D) no solution

Question 16

Solve the system of equations by graphing.

A) (2, -1)
B) no solution
C) (-1, 2)
D) (-1, -2)

Question 17

Solve the system of equations by graphing.

A) (-3, -2)
B) no solution
C) (-3, 2)
D) (-2, -3)

Question 18

Determine whether the ordered pair is a solution of the system of linear equations.

Question 19

Solve the system of equations by graphing.

A) (3, -1)
B) (-3, 1)
C) no solution
D) (1, -3)

Question 20

Determine whether the ordered pair is a solution of the system of linear equations.

Question 21

Without graphing, decide:
(a) Are the graphs of the equations are identical lines, parallel lines, or lines intersecting at a single point?
(b) How many solutions does the system have?

Question 22

The double line graph below shows the number of Acme Superstores vs. the number of General Superstores.
Approximately how many more stores did General have than Acme in 2011?

A) approximately 200
B) approximately 250
C) approximately 750
D) approximately 500

Question 23

Solve the system of equations by the substitution method.

Question 24

Solve the system of equations by the substitution method.

Question 25

Solve the system of equations by the substitution method.

Question 26

The double line graph below shows the number of Acme Superstores vs. the number of General Superstores.
In what year was the number of Acme stores approximately equal to the number of General stores?

A) 2008
B) 2009
C) 2010
D) 2012

Question 27

Solve the system of equations by the substitution method.

Question 28

Solve the system of equations by the substitution method.

Question 29

Solve the system of equations by the substitution method.

Question 30

Solve the system of equations by the substitution method.

Question 31

Solve the system of equations by the substitution method.

Question 32

Solve the system of equations by the substitution method.

Question 33

Solve the system of equations by the substitution method.

Question 34

The double line graph below shows the number of Acme Superstores vs. the number of General Superstores.
In what years was the number of General stores less than the number of Acme stores?

A) 2002 through 2008
B) 2002 through 2010
C) 2009 through 2012
D) 2002 through 2009

Question 35

Without graphing, decide:
(a) Are the graphs of the equations are identical lines, parallel lines, or lines intersecting at a single point?
(b) How many solutions does the system have?

Question 36

Without graphing, decide:
(a) Are the graphs of the equations are identical lines, parallel lines, or lines intersecting at a single point?
(b) How many solutions does the system have?

Question 37

Solve the system of equations by the substitution method.

Question 38

Without graphing, decide:
(a) Are the graphs of the equations are identical lines, parallel lines, or lines intersecting at a single point?
(b) How many solutions does the system have?

Question 39

Solve the system of equations by the substitution method.

Question 40

Solve the system of equations by the substitution method.

Question 41

Solve the system of equations by the addition method.

Question 42

Solve the system of equations by the addition method.

Question 43

Solve the system of equations by the addition method.

Question 44

Solve the system of equations by the addition method.

Question 45

Solve the system.

Question 46

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

Question 47

Solve the system of equations by the addition method.

Question 48

Solve the system of equations by the addition method.

Question 49

Solve the system of equations by the addition method.

Question 50

Solve the system of equations by the addition method.

Question 51

Solve the system of equations by the addition method.

Question 52

Solve the system of equations by the addition method.

Question 53

Solve the system of equations by the addition method.

Question 54

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

Question 55

Solve the system of equations by the addition method.

Question 56

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

Question 57

Solve the system of equations by the addition method.

Question 58

Solve the system of equations by the addition method.

Question 59

Solve the system of equations by the addition method.

Question 60

Solve the system of equations by the addition method.

Question 61

Solve the system.

Question 62

Without actually solving the problem, choose the correct solution by deciding which choice satisfies the given conditions.

Question 63

Solve the system.

Question 64

Solve the system.

Question 65

Write a system of equations in x and y describing the situation. Do not solve the system.

Question 66

Write a system of equations in x and y describing the situation. Do not solve the system.

Question 67

Solve.

Question 68

Solve the system.

Question 69

Solve the system.

Question 70

Solve the system.

Question 71

Solve the system.

Question 72

Solve the system.

Question 73

Solve the system.

Question 74

Without actually solving the problem, choose the correct solution by deciding which choice satisfies the given conditions.

Question 75

Solve the system.

Question 76

Without actually solving the problem, choose the correct solution by deciding which choice satisfies the given conditions.

Question 77

Solve the system.

Question 78

Solve the system.

Question 79

Solve the system.

Question 80

Write a system of equations in x and y describing the situation. Do not solve the system.