ALGEBRA II: L11

Use a graph and a table to solve the system. Check your answer. Enter your answer as the following example: (5, -3) {3y + 6x = 3x - y = -7

(-2, 5)

Use a graph and a table to solve the system. Check your answer. Pay attention to the way to express the solution of the system of equations. {2y+6=x4x=3+y

(0, -3)

Create a graph and a table to solve the system. Check your answer. Enter your answer as the following example: (5, -6){x+y=2x - y = 4

(3,-1)

Ravi is comparing the costs of long distance calling cards. To use card A, the cost is $0.50 to connect and then $0.05 per minute. To use card B, it costs $0.20 to connect and then $0.08 per minute. For what number of minutes does it cost the same amount to use each card for a single call? _________ min

10

Jamail and Wanda sell home theater systems. Jamail earns a base salary of $2400 per month, plus $100 for each system he sells. Wanda earns a base salary of $2200 per month, plus $120 for each system she sells. How many systems do Jamail and Wanda have to sell before they earn the same amount of money?

10 system sales

Solve the equation. | 2v + 5 | = 9

2 or -7

Marco is draining his two aquariums. The tanks are the same size. One tank has 7 in. of water in it and is being drained at a rate of 1 in./min. The other tank has 5 in. of water in it and is being drained at a rate of 0.5 in./min. After how many minutes will the tanks contain the same amount of water? ________ min

4

Use substitution to determine if the given ordered pair is an element of the solution set for the system of equations. (-2, 2) {5y−5x=103x+10=2y

Not a solution

a system of equations or inequalities that has at least one solution

consistent system

Classify the system and determine the number of solutions. {7x - y = -113y = 21x + 33

consistent, dependent, infinitely many solutions

a system of equations that has infinitely many solutions

dependent system

a system of equations or inequalities that has no solution

inconsistent system

a system of equations that has exactly one solution

independent system

Classify the system and determine the number of solutions. Check all that apply. {2x - 3y = -153y - 2x = 15

infinitely many solutions, dependent, consistent

a system of equations containing only linear equations

linear system

Does the given ordered pair solve the system of equations? Substitute each value for x and y into the equations. Write yes or no. (2, -1);{3x + y = 3x - y = 5

no

Does the given ordered pair solve the system of equations? Write yes or no. (-3, -7);{-x + 2y = 14x - 3y = 19

no

Use substitution to determine if the given ordered pair is an element of the solution set for the system of equations. Type solution or not a solution. (3, 3);{2x−y=3y+x=6

solution

a set of two or more equations containing two or more variables

system of equations

Does the given ordered pair solve the system of equations? Substitute each value for x and y into the equations. Write yes or no. (4, 5);{x - 6y = -262x + y = 13

yes

Use substitution to determine if the given ordered pair is an element of the solution set for the system of equations. Type yes or no. (4, 3);{x + 2y = 103x - y = 9

yes

Solve. Then graph the solution. | 1 - 2x | > 7

{ x | x < -3 or x > 4}

Solve. Then graph the solution. y−4≤−6,or,2y>8

{y | y <= -2 or y > 4}

Solve the equation. |5b | - 7 = 13

±4