Graphing😝
What is the slope and the y-intercept of this equation?
y>-1/2x+5
What is slope equals -1/2 and the y-intercept is 5
Solve the following equation using substitution for 'y'
4x-2y=6
What is y=2x-3
What is the additive inverse of -8y?
What is 8y
Solve the following word problem
Harvey spent $24.75 to buy 12 flowers for his girlfriend Addison. The bouquet contained roses and daisies. Roses cost $2.50 each while daisies are only $1.75. How many of each type of flower did Harvey buy?
What is 5 roses and 7 daisies
Solve for 'x' and 'y' using elimination
{ 8x+2y=410
{ x+y=100
What is x=35 and y=65
What is a set of solutions to these equations? Write it in (x,y) form and use a graph to solve.
{ 4y<3x+8
{ y<1
What is any point in the shaded region
Ex: (0,0)
Solve the following equation using substitution for 'x'
-5x-10y=20
What is x=-2y-4
Solve the following equation using elimination to find a point
{ x+y=12
{x-y=2
What is (7,5).
The Foster family and the Doran family are planning a BBQ. The Foster family is responsible for bringing hot-dog and hamburger buns. Hamburger buns cost $2.00 per package and the hot-dog buns cost $1.50 per package. In total they bought 12 packages of buns and spent $20. How many of each type of bun did they buy?
What is 4 hamburger buns and 8 hot-dog buns
Solve for 'x' and 'y' using substitution.
{ 4x-5y=22
{ y=2x-8
Would the point (3,6) be a solution to these equations:
{3x-y>2
{x-y>-1
Use a graph to solve.
The point (3,6) is NOT a solution because it is not in the shaded region of the graph.
Solve the following equation using substitution for 'x' and 'y'
{ y=2x+1
{ y=x+3
What is x=2 and y=5
Solve the following equation using elimination to find a point
{5x+6y=54
{3x-3y=17
What is (8,7/3).
What are the 5 steps to solving a systems of linear equations word problem?
What is
Step 1 - define the variables
Step 2 - one equation - ask how much
Step 3 - the other equation - ask how many
Step 4 - solve
Step 5 - check your solution to make sure it makes sense
Solve the equation
8x-15=10-4(12-2x)
What is -15=-38 which is no solution/parralel lines
Which is a solution: (6,-2) or (1,4) when the equations are
{y<x-5
{y<3
Use a graph to solve.
(6,-2) is a solution.
Solve the following equation using substitution for 'x' and 'y'
{ 4y=-12-x
{ x+4y=8
What is 0=-20 which is no solution/parralel lines
Solve the following equation using elimination to find a point.
{3x+4y=6
{-6x+y=6
What is (-2/3,2).
In Brody's hot pink sparkly purse, he has 21 coins in nickels and dimes. The total value is $1.65. How many coins of each kind are in Brody's hot pink sparkly purse?
What is 9 nickels and 12 dimes
Ms. Nguyen rented a moving truck. The total rental cost included a one-time fee of $40.00 and $0.75 for each mile driven. Write an equation that represents t, the total cost in dollars of renting a truck that was driven n miles.
What is t=40+0.75n
Is the point (5,7) a solution to these equations
{y<x+2
{y>-1/2x+5
Use a graph to solve
The point (5,7) is NOT a solution because it is on a dotted line
Solve the following equation using substitution for 'x' and 'y'
{ 2x-4=-y
{ -4x-2y=-8
What is 0=0 which is the same line
Solve the following equation using elimination to find a point
{x+4y=1
{3x+12y=3
What is same line/infinitely many solutions.
On Friday nights, Cormac Crowell works at the basketball games collecting tickets and money. This past Friday night, three hundred and fifty-eight tickets were sold. Student tickets cost $1.50 and nonstudent tickets cost $3.25. The school made $752.25. How many tickets of each kind were sold?
What is 235 student tickets and 123 nonstudent tickets
Lorenzo spends $94 to buy packages of cleaning supplies for a camp. He buys t packages of towels; each package is $6 and contains 8 towels. He also buys s packages of soap; each package is $4 and contains 10 bars of soap. Lorenzo buys 20 packages of cleaning supplies all together. Explain why it would NOT be possible for Lorenzo to buy exactly 16 bars of soap.
What is; soap comes in packs of 10 so he could not buy exactly 16 bars of soap. He could buy 2 and get 20 bars but not 16 exactly