Picky Pumpkins
Falling Leaves
Candy Corn
Soft Sweaters
Corn Maze
100
Identify the number of terms, coefficients, and constants in this expression:
7x-4x+9
Terms: 3
Coefficients: 7 and -4
Constants: 9
100
Solve and classify the solution:
6x+4=2x+20
x=4; one solution
100
Write an inequality:
A movie theater charges $9 for admission and $3 for a snack. Maya has no more than $36 to spend.
Let (x) represent the number of snacks.
3x + 9 ≤36
100
A gym charges $15 per month plus a $4 registration fee. The total cost for (m) months is:
C=15m+4
What does the 15 represent? (answer should be a statement)
The cost per month.
100
-6x+5≤41
Solve.
Open or closed circle?
Arrow pointing left or right?
x≥-6
Closed
Right
200
What does an AND inequality look like? Give me the characteristics of a graph and/or how to solve an AND inequality.
Answers may vary...
200
Line 1:3(x+4)+2=25
Line 2: 3x+12+2=25
Line 3: 3x+10=25
Line 4: 3x=15
Line 5: x=5
Which line was the mistake made? Tell me what they did wrong?
Line 3...
200
Find the slope:
Point 1: (2,5)
Point 2: (8,17)
2
200
What is the slope?
4
200
Write down all three different forms of slope...
300
Proportional or Nonproportional?
Non proportional!
300
A video game store charges a one-time membership fee and then charges the same amount for every game rented.
After renting 2 games, the total cost is $18.
After renting 5 games, the total cost is $30.
How much does each game cost?
$4
300
A school club pays $200 to have shirts printed. The club then earns $15 for every shirt sold.
The club's profit is modeled by:
P(s) = 15s − 200
where s represents the number of shirts sold.
What does the x-intercept represent?
The break-even point.
300
Solve:
5(2x − 3) − 4x = 6x − 15
Then determine whether the equation has:
- one solution,
- no solution, or
- infinitely many solutions.
- infinitely many solutions
300
A line passes through:
(−4, 7) and (8, −1)
a. Find the slope.
b. Write the equation in slope-intercept form.
c. Write the equation in point-slope form using (−4, 7).
d. Explain why your two equations represent the same line.
m = −2/3
y = −2/3x + 13/3
y − 7 = −2/3(x + 4)
They are equivalent because they represent the same line. Point-slope form can be simplified to slope-intercept form.
400
Use the points (4,0) and (0,-6) to find the:
1. Slope intercept form
2. Point-Slope Form
Slope-intercept: y=1.5x-6
Point-Slope: y=1.5(x-4)
400
A line has an x-intercept of 6 and a slope of 2.
Without graphing, determine the y-intercept.
y-intercept= -12
400
A student is solving:
3(x + 5) = 24
Their work is:
3x + 15 = 24
3x = 9
x = 3
Identify the property or operation used in each step.
a. 3(x + 5) → 3x + 15
b. 3x + 15 → 3x = 9
c. 3x = 9 → x = 3
a. Distributive Property
b. Subtraction Property of Equality
c. Division Property of Equality
400
Consider the sequence:
7, 12, 17, 22, ...
a. What is the common difference?
b. Write a rule for the sequence.
c. Find the 25th term.
Common difference = 5
aₙ = 7 + 5(n − 1)
or
aₙ = 5n + 2
a₂₅ = 127
400
A business's profit is modeled by:
P(x) = 28x − 560
where x represents the number of products sold.
Find the profit after selling 75 products.
How many products must be sold to make at least $1,000 profit?
P(75) = $1,540
x ≥ 55.714...
Since products must be whole:
56 products