Algebra 1-2 Chapter 7

Front 1

Show your work to determine if the ordered pair is a solution of the system of linear equations.
(-2 , 4)
4x + y = -4
-x - y = 1

Back 1

4(-2) + 4 = -4 yes
-(-2) - (4) = 1 no

No it is not a solution

Front 2

Graph and check to solve the linear system. Show graph and clearly state your answer.
y = -2x - 4
x + 2y = -2

Back 2

Solution = (-2,0)

Front 3

You bought 12-1 gallon bottles of apple and orange juice for a school dance. The apple juice was on sale for $1.00/ bottle. The orange juice was on sale for $1.50/bottle. You spent $15.00. 1) Label variables 2) write algebraic model 3) solve - clearly identify how much of each type of juice you purchased.

Back 3

1) x = gallons of apple juice; y = gallons of orange juice
2) x + y = 12; 1.00x + 1.50y = 15.00
3) 6 apple juice bottles and 6 orange juice bottles

Front 4

Solve for y (i.e., y = ) : -2x + 4y = 8

Back 4

y = 1/2x + 4

Front 5

Show how to use the substitution method to solve the linear system: x - y = 10 and 5x - y = -6

Back 5

x = y + 10
5(y+10) - y = -6
4y + 50 = -6
4y = -56
x = -4; y = -14

Front 6

Remember units

Back 6

x = 3 cm
y = 11 cm

Front 7

Show how to use the linear combination method to solve the system of linear equations. 5x = 4y - 30 and 2x + 3y = -12

Back 7

5x - 4y = -30 and 2x + 3y = -12
10x - 8y = -60
-10x - 15y = 60
y = 0, x = -6

Front 8

How much of a 7% acid solution should be mixed with how much of a 15% acid solution so that you obtain 20 gallons of a 12% acid solution? Remember to clearly identify your solution or define your variables.

Back 8

7.5 gallons of the 7% acid solution
12.5 gallons of the 15% acid solution

Front 9

How many solutions does this system of equations appear to have?

Back 9

zero solutions

Front 10

How many solutions does this system of equations appear to have?

Back 10

one solution

Front 11

How many solutions does this system of equations appear to have?

Back 11

infinite solutions

Front 12

No calculator. Solve the linear system and tell how many solutions the system has. -8x + 8y = -6 and 3x - 3y = 8

Back 12

No Solutions

Front 13

No calculator. Solve the linear system and tell how many solutions the system has. 6x - 4y = -6 and 3x + 2y = 1

Back 13

one solution (-1/3, 1)

Front 14

No calculator. Solve the linear system and tell how many solutions the system has. 3x - 2y = -5 and 6y = 9x + 15

Back 14

Infinite solutions

Front 15

Graph the system of linear inequalities. 2x + y < 4, -3x + y < 3 and y > 4

Back 15

Front 16

Write the linear inequalities for the system.

Back 16

y > -x + 1 (solid line should have dash under inequality)
y < 1/4x + 3