Deck 4: Systems of Equations and Inequalities

Question 1

Determine whether each given ordered pair is a solution of each system.

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Answer 1

yes

Question 2

Determine whether each given ordered pair is a solution of each system.
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Answer 2

no

Question 3

Determine whether each given ordered pair is a solution of each system.
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Answer 3

no

Question 4

Solve each system by graphing.
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Question 5

Solve each system by graphing.
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Question 6

Solve each system by graphing.
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Question 7

Solve each system by graphing.
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Question 8

Use the substitution method to solve each system of equations.
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Question 9

Use the substitution method to solve each system of equations.
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Question 10

Use the substitution method to solve each system of equations.
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Question 11

Use the substitution method to solve each system of equations.
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Question 12

Use the substitution method to solve each system of equations.
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Question 13

Use the substitution method to solve each system of equations.
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Question 14

Use the elimination method to solve each system of equations
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Question 15

Use the elimination method to solve each system of equations
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Question 16

Use the elimination method to solve each system of equations
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Question 17

Use the elimination method to solve each system of equations
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Question 18

Use the elimination method to solve each system of equations
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Question 19

Use the elimination method to solve each system of equations
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Question 20

Use the elimination method to solve each system of equations
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Question 21

Solve each system.
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Question 22

Solve each system.
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Question 23

Solve each system.
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Question 24

Solve each system.
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Question 25

Solve each system.
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Question 26

Solve each system.
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Question 27

Solve each system.
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Question 28

Solve each system.
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Question 29

Solve each system.
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Question 30

Solve each system.
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Question 31

Solve each system.
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Question 32

Solve each system.
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Question 33

Solve each system.
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Question 34

Solve each system.
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Question 35

Solve each system.
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Question 36

Solve each system.
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Question 37

Solve each system.
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Question 38

Solve each system.
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Question 39

Solve each system.
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Question 40

Solve each system.
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Question 41

Solve.
-One number is four more than a second number. Twice the second is three more than the first. Find the numbers.

Question 42

Solve.
-Four times one number minus a second is 11, and the sum of the numbers is 14. Find the numbers.

Question 43

Solve.
-An L1011 traveled 645 mph with the wind and 575 mph against the wind. Find the speed of the plane in still air and the speed of the wind.

Question 44

Solve.
-A boat traveled 27.5 mph with the current and 12.5 mph against the current. Find the speed of the boat in still water and the speed of the current.

Question 45

Solve.
-Find how many milliliters of 3% acid solution and 7% acid solution should be mixed to yield 120 ml of 5% acid solution.

Question 46

Solve.
-Find how many pounds of horse fee with 20% oats and horse feed with 5% oats should be mixed to yield 20 pounds of horse feed with 11% oats.

Question 47

Solve.
-A movie theater charges $7.50 for adults and $4.50 for children. The receipts for one showing of a movie were $540. If 80 tickets were sold, find how many tickets of each type were sold.

Question 48

Solve.
-A purchaser for an office supply store got a special deal from a paper manufacturer. He bought 12 reams of printer paper and 8 boxes of writing tablets for $236. Later that day, he bought 9 reams of printer paper and 10 boxes of writing tablets for$205. Find his price for one ream of printer paper and one box of writing tablets.

Question 49

Solve.
-The perimeter of a rectangle is 58 meters. Its length is 5 meters more than its width. Find the length and the width of the rectangle.

Question 50

Solve.
-The measure of the third angle of an isosceles triangle is 30 $^\circ$ less than the measure of the base angles. Find the measure of all three angles.

Question 51

Solve.
-A new salesperson has a choice of two pay arrangements: a weekly salary of $400 plus 10% commission on sales, or a weekly salary of $138 plus 15% commission on sales. Find the amount of sales for which the two arrangements pay the same.

Question 52

Solve.
-A store rents video tapes for $3.50 a day. A club charges $15 a month for membership. Members can rent video tapes for $1 a day. How many video tapes do you need to rent per month for the two options to cost the same and what would your total monthly cost be?

Question 53

Solve.
-Peanuts cost $0.79 a pound, cashews $2.49 a pound, and walnuts $1.89 a pound. A store clerk needs to make 2 pounds of mixed nuts using these three types so the total cost is $2.97. If she wants to use 3 times as much peanuts as cashews, find how much of each type of nut she should use.

Question 54

Solve.
-A community theater group sold 620 tickets to a performance for $3670. Orchestra tickets cost $8.50, balcony tickets cost $2.50, and all others cost $6.50. If they sold twice as many balcony tickets as orchestra tickets, how many did they sell of each type?

Question 55

Solve.
-The sum of the measures of the angles of a quadrilateral is 360 $^\circ$ . The smallest angle in a certain quadrilateral has a measure of 49 $^\circ$ . The measure of the second angle is 30 $^\circ$ more than the measure of the third. The measure of the fourth angle is 10 $^\circ$ less than the measure of the third. Find the measure of all four angles.

Question 56

Solve.
-The perimeter of a triangle is 30 centimeters. One side is one centimeter longer than the second side. The second side is 2 centimeters longer than twice the length of the third side. Find the length of each side.

Question 57

Given the cost function C(x) and the revenue function R(x), find the number of units x that must be sold to break even.
-C(x) = 40x + 12,000
R(x) = 55x

Question 58

Given the cost function C(x) and the revenue function R(x), find the number of units x that must be sold to break even.
-C(x) = 1.1x + 2000
R(x) = 1.9x

Question 59

Given the cost function C(x) and the revenue function R(x), find the number of units x that must be sold to break even.
-C(x) = 15x + 18,000
R(x) = 24x

Question 60

Given the cost function C(x) and the revenue function R(x), find the number of units x that must be sold to break even.
-C(x) = 1.2x + 1665
R(x) = 3x

Question 61

Use matrices to solve each system of linear equations.
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Question 62

Use matrices to solve each system of linear equations.
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Question 63

Use matrices to solve each system of linear equations.
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Question 64

Use matrices to solve each system of linear equations.
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Question 65

Use matrices to solve each system of linear equations.
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Question 66

Use matrices to solve each system of linear equations.
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Question 67

Use matrices to solve each system of linear equations.
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Question 68

Use matrices to solve each system of linear equations.
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Question 69

Use matrices to solve each system of linear equations.
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Question 70

Use matrices to solve each system of linear equations.
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Question 71

Use matrices to solve each system of linear equations.
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Question 72

Use matrices to solve each system of linear equations.
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Question 73

Use matrices to solve each system of linear equations.
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Question 74

Use matrices to solve each system of linear equations.
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Question 75

Use matrices to solve each system of linear equations.
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Question 76

Use matrices to solve each system of linear equations.
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Question 77

Use matrices to solve each system of linear equations.
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Question 78

Use matrices to solve each system of linear equations.
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Question 79

Use matrices to solve each system of linear equations.
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Question 80

Use matrices to solve each system of linear equations.
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