Inequalities
System of Linear Equations
Expanding Polynomials
Factoring and Solving Polynomials
100
Solve the following inequality.
9x + 7 ≤ 2
9x + 7 ≤ 2
What is
9x + 7 ≤ 2
9x ≤ -5
x ≤ -\(\frac{5}{9}\)
9x + 7 ≤ 2
9x ≤ -5
x ≤ -\(\frac{5}{9}\)
100
The restaurant Tacos y Salsas sells carne asada tacos for $2.00 each. They also sell carne asada tortas for $4.00 each. At the end of the day, the restaurant sold 290 carne asada dishes and collected $1,000. How many carne asada tacos were sold? How many carne asada tortas were sold?
Write a system of linear equations to solve this problem.
What is
a = number of tacos
b = number of tortas
a + b = 290
2a + 4b = 1,000?
a = number of tacos
b = number of tortas
a + b = 290
2a + 4b = 1,000?
100
(x + 2)2
What is
x2 + 4x + 4?
x2 + 4x + 4?
100
Factor the following polynomial.
2x2 + 3x
2x2 + 3x
What is
x(2x + 3)?
x(2x + 3)?
200
Solve the following inequality.
\(\frac{1}{3}\)(1 - 2x) > 7
\(\frac{1}{3}\)(1 - 2x) > 7
What is
\(\frac{1}{3}\)(1 - 2x) > 7
1 - 2x > 21
-2x > -22
x < 11
\(\frac{1}{3}\)(1 - 2x) > 7
1 - 2x > 21
-2x > -22
x < 11
200
The restaurant Tacos y Salsas sells carne asada tacos for $2.00 each. They also sell carne asada tortas for $4.00 each. At the end of the day, the restaurant sold 290 carne asada dishes and collected $1,000. How many carne asada tacos were sold? How many carne asada tortas were sold?
Solve the system of linear equations.
a + b = 290
2a + 4b = 1,000
What is
a = 80
b = 210
80 tacos and 210 tortas were sold.
a = 80
b = 210
80 tacos and 210 tortas were sold.
200
(3x+ 2)(x + 4)
What is
3x2 + 14x + 14?
3x2 + 14x + 14?
200
Factor the following polynomial.
3x2 + 40x + 13?
3x2 + 40x + 13?
What is
(3x + 1)(x + 13)?
(3x + 1)(x + 13)?
300
Graph the following inequality.
2x + y < - 4
2x + y < - 4
What is
y < -2x - 4
y < -2x - 4
300
A Math Fellows group and their coordinator visited Casa Bonita. Two fellows and 5 students in one van paid $77 for the Ultimate Divers Show. Two fellows and 7 students in the second van paid $95 for the same show.
Write a system of linear equations to solve this problem.
Write a system of linear equations to solve this problem.
What is
f = number of fellows
s = number of students
2f + 5s = 77
2f + 7s = 95?
f = number of fellows
s = number of students
2f + 5s = 77
2f + 7s = 95?
300
x(2x + 3)
What is
2x2 + 3x?
2x2 + 3x?
300
Use the quadratic formula to solve following polynomial.
-2x2 - 7x - 3 = 0
-2x2 - 7x - 3 = 0
What is
x = -½, -3
x = -½, -3
400
Graph the following inequality.
-\(\frac{3}{2}\)x - 3y ≥ -12
-\(\frac{3}{2}\)x - 3y ≥ -12
What is
y ≤ -\(\frac{1}{2}\)x + 4
y ≤ -\(\frac{1}{2}\)x + 4
400
A Math Fellows group and their coordinator visited Casa Bonita. Two fellows and 5 students in one van paid $77 for the Ultimate Divers Show. Two fellows and 7 students in the second van paid $95 for the same show. Find the adult price and the student price of the show.
2f + 5s = 77
2f + 7s = 95?
2f + 5s = 77
2f + 7s = 95?
What is
s = $9
f = $16
The price for an adult is $16, and the price for a student is $9.
s = $9
f = $16
The price for an adult is $16, and the price for a student is $9.
400
(a + b)2
What is
a2 + 2ab + b2?
a2 + 2ab + b2?
400
Use the quadratic formula (recommended) to solve the following polynomial.
2x2 - 5x + 1 = 0
2x2 - 5x + 1 = 0
What is
\(\frac{5 ± \sqrt{17}}{2}\) ≈ 19.04
\(\frac{5 ± \sqrt{17}}{2}\) ≈ 19.04