Linear Review
What is the slope of:
y = −3x + 4
-3
A movie ticket costs $9.
Write an expression for cost of x tickets
9x
What is the ordered pair for a point 5 left and 3 down?
(−5, −3)
Evaluate:
18÷3(2+1)
18 ÷ 3(3)
18 ÷ 3 × 3
6 × 3 = 18
This Chicago-born artist and producer founded GOOD Music and is known for albums like The College Dropout.
Kanye West
Find the slope between (−1, 2) and (3, 10).
(10 − 2) / (3 − (−1))
8 / 4 = 2
A gym charges $25 membership fee and $8 per visit.
Write the equation.
y = 8x + 25
What is the y-intercept of:
y = 2x − 8
-8
(10 − 4)²
36
This 2018 Marvel film became a global cultural moment for Black representation in superhero cinema.
Black Panther
Rewrite in slope-intercept form:
3x + y = 9
y = −3x + 9
Two gym memberships are offered:
Plan A: $20 sign-up fee + $15 per month
Plan B: $50 sign-up fee + $10 per month
After how many months will both plans cost the same?
20 + 15x = 50 + 10x
5x = 30
x = 6 months
What does it mean if two lines are parallel?
They have the same slope and will never intersect.
5/6 - 1/4
Common denominator = 12
10/12 − 3/12 = 7/12
This 1990s R&B girl group gave us hits like “Say My Name” and became one of the best-selling girl groups of all time.
destiny's child
Are these lines parallel, perpendicular, or neither?
y = 1/2x − 4
y = −2x + 1
Perpendicular
A car rental company charges $30 per day plus $0.25 per mile.
You have a budget of $150 and plan to rent for 3 days.
Write and solve an inequality to determine the maximum miles you can drive.
30(3) + 0.25x ≤ 150
90 + 0.25x ≤ 150
0.25x ≤ 60
x ≤ 240 miles
What is the domain?
{ (−2, 5), (0, 3), (4, 7), (6, 1) }
{ −2, 0, 4, 6 }
2(3 − 5)2 − 4 ÷ 2
2(−2)^2 − 4 ÷ 2
2(4) − 2
8 − 2 = 6
This athlete became a cultural icon in 2016 when he began kneeling during the national anthem to protest racial injustice.
Colin Kaepernick
Write equation of line with slope 4 passing through (0, −6).
y = 4x − 6
A water tank initially contains 500 gallons.
It drains at a rate of 12 gallons per hour.
a) Write the equation.
b) When will the tank be empty?
Answer:
a) y = −12x + 500
b)
0 = −12x + 500
12x = 500
x ≈ 41.67 hours
If slope is undefined, what does the graph look like?
Answer:
A vertical line
3/5 ÷ 2/3 + (−4)2 − 6
3/5 × 3/2 = 9/10
(−4)^2 = 16
So:
9/10 + 16 − 6
9/10 + 10
= 9/10 + 100/10
= 109/10
= 10 9/10
This 1990s sitcom starred Will Smith and helped redefine portrayals of Black families on mainstream television.
Fresh Prince of Bel-Air