Forms of Linear Equations
Slope & Intercepts
Linear Inequalities (1 Variable)
Graphing & Systems of Inequalities
Word Problems & Applications
100
What is the name of the linear equation form written as y = mx + b ?
What is Slope-Intercept Form?
100
What is the formula for calculating the slope m between two points (x1, y1)and (x2, y2)?
100
Solve the inequality: x + 7 > 10
What is x > 3?
100
When graphing an inequality with < or >, what type of boundary line do you draw?
What is a dashed (or dotted) line?
100
A gym charges a $50 joining fee plus $15 per month (m). Write an equation for the total cost (y).
What is y = 15m + 50?
200
What is the name of the linear equation form written as Ax + By = C ?
What is Standard Form?
200
What is the slope of a horizontal line? What is the slope of a vertical line?
What is zero 0 for horizontal, and undefined for vertical?
200
Solve the inequality: 3x - 5 ≤ 16
What is x ≤ 7?
200
When graphing an inequality with ≤ or ≥, what type of boundary line do you draw?
What is a solid (or connected) line?
200
Tickets to a school play cost $8 each. You have a budget of at most $40. Write an inequality for the number of tickets (t) you can buy.
What is 8t ≤ 40 (or (t ≤5))
300
What is the name of the linear equation form written as y - y1 = m(x - x1)?
What is Point-Slope Form?
300
Identify the slope and y-intercept of the equation y = -3/5x + 4
What is slope m = -3/5 and y-intercept (0, 4)?
300
What golden rule must you remember when multiplying or dividing both sides of an inequality by a negative number?
What is flip the inequality sign?
300
How do you test which side of a linear inequality line to shade?
What is plugging in a test point (like (0,0)) to see if it makes the inequality true?
300
Salesperson A charges 50 + $5/hr; Salesperson B charges $15/hr. At how many hours do they cost the same?
What is 5 hours?
50 + 5h = 15h
50 = 10h
h = 5
400
Convert the equation \(y - 4 = 2(x - 3)\) into slope-intercept form.
What is y = 2x - 2 ?
400
Find the slope of the line passing through the points (1, 2) and (4, 8).
What is 2?
400
Solve the inequality: -2x + 4 < 10
What is x > -3?
400
Is the ordered pair (2, 1) a solution to the inequality 3x + y ≥ 4? Show why.
Yes. (3(2) + 1 = 7), and 7 ≥4 is true
400
A phone plan costs $30 a month plus $0.15 per text message (x). If your bill is $45, how many texts did you send?
What is 100 texts?
0.15x + 30 = 45
0.15x = 15
x = 100
500
Find the standard form equation of a line passing through (2, 3) with a slope of 4.
What is (-4x + y = -5) or (4x - y = 5)?
500
What is the \(x\)-intercept of the linear equation 3x - 4y = 12
What is (4, 0)?
500
Solve and graph/describe the solution set for: 7x + 2 ≥9x - 8
What is x ≤5?
500
Describe the graph of the system: y < -x + 5 and x ≥-2
What is a dashed line for y < -x + 5 shaded below, and a solid vertical line at x =-2 shaded to the right, intersecting in a shaded region?
500
You need to earn at least $200 selling cookies (c) at 2 dollars each and brownies (b) at 3 dollars each. Write a linear inequality for this scenario.
What is 2c + 3b ≥ 200