Parallel and Perpendicular Lines
3 Forms of Linear Equations
Linear Inequalities
BONUS:
Factoring Polynomials
Factoring Polynomials
BONUS:
Solving Quadratics by Factoring
Solving Quadratics by Factoring
100
Determine the slope of a line that is parallel to the line whose equation is y = −3x + 4.
What is m = -3?
100
Write the equation of a line in slope-intercept form that has a slope of −8 and a y-intercept of (0, 3).
What is y = −8x + 3?
100
Where would you shade the solutions for 4+y > 15x on a coordinate plane? What type of line would it have?
What is above, along the y-axis, and dotted?
100
Factor 2x-14 completely.
What is 2(x-7)?
100
What are the solutions to the quadratic in intercept form (x-3)(x+4)=y?
What is x=3, -4?
200
Horizontal lines are described by equations of the form y = number. For example, the equation of the x-axis is y = 0, because all points on the x-axis have y-coordinate 0. Explain why any two horizontal lines are parallel.
What is they both have the same slope?
200
Find the slope and the y-intercept of the line whose equation is −5x + 3y − 8 = 0.
What is m=5/3 and b=8/3?
200
There are at most 30 students in Mr. Moreno's co-ed history class. Write an inequality that represents the number of boys and girls in the class.
What is b + g ≤ 30?
200
What is the GCF of all terms in the polynomial 4x2 - 16x3-2x?
What is 2x?
200
What are the factors of a quadratic with solutions x= -3/2, 5?
What is (x-5) and (2x+3)?
300
What is the equation of the line that is perpendicular to 2x + 4y = 1 and that passes through the point (6, 8)?
What is y = 2x − 4 or y-8=2(x-6)?
300
What is the equation in point-slope form of the line that passes through (−9, 12) with a slope of 5/6?
What is y-12=5/6(x+9)?
300
Apple juice costs $2 per bottle, and cranberry juice costs $3 per bottle. Tamiko has at most $18 with which to buy drinks for a club picnic. She lets x represent the number of bottles of apple juice and lets y represent the number of bottles of cranberry juice. Write an inequality to represent the situation.
What is 2x + 3y ≤ 18?
300
Factor 
completely.
What is 
?
300
Put the quadratic into factored form. x2 + x − 6
(x-2)(x+3)=y
400
What is the slope of a line perpendicular to a line whose equation is −4x − 2y + 18 = 0?
What is m = 1/2?
400
David is ordering tea from an online store. Black tea costs $0.80 per ounce and green tea costs $1.20 per ounce. He plans to spend a total of $12 on the two types of tea. What is the equation in standard form?
What is 0.8x + 1.2y = 12?
400
Tickets for the school play cost $3 for students and $6 for adults. The drama club hopes to bring in at least $450 in sales. The auditorium has 120 seats. Let a represent the number of adult tickets and s represent the number of student tickets. Write an inequality for the following situation.
What is 3s + 6a ≥ 450?
400
Factor 6x3-36x completely.
What is 6x(x2-6)?
400
What are solutions for = −x2 − 4x + 32?
What is x= 4,-8?
500
What is the equation of a line parallel to a line whose equation is 3x + y = 12 that passes through (1,2)?
What is y=-3x - 2/3 or y-2=-3(x-1)?
500
Write the equation of a line in standard form that has an x-intercept of (3, 0) and a y-intercept of (0, 5).
What is 5x + 3y = 15?
500
Describe how you would graph x < 7 on a coordinate plane?
What is dotted line, and shade left along the x-axis?
500
Factor 18x4y3-27x2y2-81y
What is 9y(2x4y2-3x2y-9)?
500
Write a quadratic function in standard form whose zeros are 2 and 9.
What is y = x2 − 11x + 18