System of Equations
When a System of Equations has two parallel lines, how many solutions does it have?
What is 'no solution'?
Find the roots of the following Quadratic Equation using the "Completing the Square" method:
y = x2 + 6x + 8
What is 'x = 4, x = 2'?
Factor: x2 + 4x - 6 = 26
What is '(x + 8) (x - 4)'?
Find the roots of the following Quadratic Equation using the Quadratic Formula:
y = 2x2 + 8x - 10
What is 'x = 1 and x = -5'?
What type of special product is (x - 3) (x + 3)?
What is 'Difference of Squares'?
Find The Solution To This System:
y + x = 12x + 5(2)
y - x = 20
What is 'point (1, 21)'?
Find the roots of the following Quadratic Equation using the "Completing the Square" method:
4x2 + 16x + 16
Factor: 8x2 + 16x - 64 (Hint: First Take Out the GCF, then Factor)
What is '(x - 2) (x + 4)'?
Find the roots of the following Quadratic Equation using the Quadratic Formula:
4x2 + 9x - 18 (Round to the Nearest Tenth)
What is 'x = 1.3, x = -3.5'?
Is (4x + 9) (4x + 9) a perfect square?
What is 'Yes, because both binomials have the same terms'?
When a Solution of Equations has an infinite number of solutions, what is it called?
What is 'dependent'?
Find the roots of the following Quadratic Equation using the "Completing the Square" method:
3x2 + 9x - 16 = 0 (Round to the Nearest Tenth)
What is 'x = 1.3, x = -4.3'?
Factor: 24w2g3y5 + 3w2 + 6w2y3
What is '3w2(8g3y5 + 1 + 2y3)'?
When a quadratic equation has no solution, this is negative.
What is 'the discriminant (b2 - 4ac)'?
Foil: (9x + 4) (10x + 5)
What is '90x2 + 85x + 20'?
The slope of one line is the negative inverse of the slope of the second line.
What are 'perpendicular lines'?
Find the roots of the following Quadratic Equation using the "Completing the Square" method:
2x2 + 4x + 15 = 0
What is 'no solution'?
Factor: 3x2 + 8x + 12
What is 'prime'?
Find the roots of the following Quadratic Equation using the Quadratic Formula:
10x2 - 5x - 4 = 0 (Round to the Nearest Tenth)
What is 'x = 0.9, x = -0.4'?
Foil: (20x + 9)2
What is '400x2 + 360x + 81'?
A new bowling club opened in the neighborhood. There are two payment options. Option 1 - You'll have to pay $6 per visit. Option 2 - You can buy an annual pass for $80 and pay $2 per visit. When will the customer pay the same amount for both options? (Hint: x represents the number of visits, and y represents the cost).
What is '40 visits'?
Use the Completing the Square Method to Solve this Word Problem:
A square frame has a length of 'x + 2' inches. The variable x represents the length/width of the photo. If the area of the square frame is equal to 100 square inches. What should be the dimensions of the picture that is inside the square frame?
What is '8 by 8 inches'?
Keira throws a rock in the air with an initial velocity of 16 feet per second. The height of the rock after t seconds is modeled by this equation: h = -16t2 + 16t + 12. The variable t is the time (in seconds) after Keira throws the rock. Solve the equation to find when the rock hits the ground. (Hint: Substitute 0 for h).
What is '1.5 seconds'?
Use the Quadratic Formula to Solve this Word Problem:
A rectangle's width is 6 ft more than its length. The area of the shape is 16 ft. What are the dimensions of this rectangle? (Hint: Use x to represent the length).
What is '2 ft by 8 ft'?
If the height of a triangle is '3x + 5', and the base of the triangle is '2x + 6'. What is the area of the triangle?
What is '3x2 + 14x + 15'?