Identify the important parts of the slope-intercept equation
m=
b=
y= mx+b
m is slope
b is y-intercept
Find the x-intercept of the following equation
4y - x = 2
x-intercept: (-2, 0)
Inequalities with a < or > sign have a _______________ line.
dotted line
Write the inequality you see on the graph
y >= -2x + 5
Solve the following system of equations
y = 5x - 7
-3x - 2y = -12
(2,3)
You are selling drinks at the carnival to raise money for your club. You sell lemonade for $2.50 per cup and orange drinks for $3.50 per cup. Your sales totaled $350. Let x be the number of cups of lemonade and y be the number of orange drinks.
2.50x + 3.50y = 350
Identify the slope and y-intercept of this equation
y = 3x - 4
slope: 3
y-intercept: -4
Find the y-intercept of the following equation
4y - x = 2
y-intercept: (0, 1/2)
Inequalities with a <= or
>=
sign have a _____________ line.
solid line
Write the inequality you see on the graph
y<4x+4
Solve the following system of equations
8x + 14y = 4
-6x - 7y = -10
(4, -2)
You are in charge of buying food for your family reunion. You spend $90 on shrimp and chicken. You pay $4 for each pound of shrimp and $2.50 for each pound of chicken. Let x be the number of pounds of shrimp and y be the number of pounds of chicken.
4x+2.5y=90
Rewrite this equation in slope intercept form
4x + 3y = -12
y = -4/3x-4
Find the x-intercept of the following equation
3x - 7y = 21
x-intercept: (7,0)
True or False: If the coordinate is on the solid line then it is a solution to the inequality.
True
Name one solution to this system of inequalities
Answers vary -- any coordinate in the overlap shaded region (dark red shaded).
ex: (-5, -2), (-10, 0), or (-8, 1)
How many solutions does this system of equations have?
3x-4y = 13
y = -3x - 7
1 solution
Write equations for the word problem below.
Carlos purchased 6 t-shirts and 6 pairs of pants for $45.00. Later in the summer, he purchased 3 additional t-shirts and 2 pairs of pants for $19.00. Use x for the number of t-shirts and y for the number of pants.
6x + 6y = 45
3x + 2y = 19
Rewrite this inequality in slope-intercept form
3x - 2y > -6
y < 3/2x+3
Find the y-intercept of the following equation
3x - 7y = 21
y-intercept: (0, -3)
True or false: If a coordinate is in the shaded region of a graph it is not a solution to the inequality
False, it is a solution
Write the inequality you see on the graph
y<=-x + 4
How many solutions does this system of equations have?
3x-3y = 3
x-y=1
infinite solutions
Write equations for the word problem below.
One week Valerie bought 2 pairs of socks and 4 pairs of shoes for $50.00. Some of the shoes didn’t fit her so the next week Valerie returned 3 pairs of shoes and bought 2 more pairs of socks. After being refunded, Valerie only had to pay $8.00 for her purchase. Use x for the number of socks and y for the number of shoes.
2x + 4y = 50
2x - 3y = 8
Identify the slope and y-intercept of this equation
-3x + 12y = 4
Slope: 3/12 or 1/4
y-intercept: 4/12 or 1/3
Name one solution to this system of inequalities
Answers vary -- any coordinate in the overlap shaded region (purple shaded).
ex: (4, -2), (5,0), or (6, 3)
True or false: If the coordinate is on the dashed line then it is a solution to the inequality.
False, it is not a solution
Solve the following system of equations
y=-3x + 4
y= 3x - 2
(1,1)
How many solutions does this system of equations have?
7x - y = 30
7x - y = -30
no solutions
Write equations for the word problem below.
One week Rylie bought 3 big bags of jolly ranchers and 4 frozen pizzas for $43.00. The next week she bought 3 big bags of jolly ranchers and 6 frozen pizzas for $54.00. Use x for the number of bags of jolly ranchers and y for the number of frozen pizzas.
3x + 4y = 43.00
3x + 6y = 54.00