Slope Stars
Equation Impossible
Certified Inequality Moment
Systems Be System-ing
To the Power of Awesome!
100
What is the slope of a horizontal line? Give an example of an equation of a horizontal line.
The slope is zero.
y = 0x + b
so, y = b, example include y=4, y=-4
100
What is the value of a in the equation:
3a + 7 = 17 -2a
Use legal moves to solve for a.
3a + 7 = 17 − 2a
+2a +2a
5a + 7 = 17
−7 −7
5a = 10
a = 2
What is "a=2"
100
Solve the inequality.
5 (5m-2) ≥ 165
5(5m-2)≥165
25m-10≥165
25m≥175
m≥7
100
True or False.
(1,4) is the solution to the system:
y=3x+1
y=2x-2
False. Substitute (1,4) into both equations.
First equation:
4=3(1)+1
4=4 ✓
Second equation:
4=2(1)-2
4=0 ✗
100
Name 2 Exponent Laws, give examples.
- Product Rule
xᵃ·xᵇ=xᵃ⁺ᵇ
Example: x²·x⁵=x⁷ - Quotient Rule
xᵃ/xᵇ=xᵃ⁻ᵇ
Example: x⁸/x³=x⁵ - Power Rule
(xᵃ)ᵇ=xᵃᵇ
Example: (x²)³=x⁶ - Quotient Rule
(a/b)ᵃ=aᵃ/bᵃ
Example: (x/y)²=x²/y² - Zero Exponent Rule
x⁰=1
Example: 5⁰=1 - Negative Exponent Rule
x⁻ᵃ=1/xᵃ
Example: x⁻³=1/x³
200
Calculate the slope of a line that contains the points (1,2) and (2,4).
200
Name all 6 Crystal core values.
- We Celebrate Scholarship
- We Seek Growth Challenges
- We Foster Kindness & Inclusion
- We Strive for Balance
- We Engage with Enthusiasm
- We Lead with Humility
200
Solve the inequality and graph the solution.
-2(x+1)>6
-2(x+1)>6
-2x-2>6
-2x>8
x<-4
200
What is the intersection point of two parallel lines?
The point does not exist. Parallel lines never intersect.
200
Solve.
(3x⁴·2x³)/(6x²)
6x⁷/6x²
x⁵
300
Find the slope of the line: 2x+3y=4
300
What is the solution to: 5(n+3)=-4n-3
5(n+3)=-4n-3
5n+15=-4n-3
9n+15=-3
9n=-18
n=-2
300
Solve and graph the inequality.
4(y-3) ≥ -12
What is "y ≥ 0 "
300
Solve the system of equations:
y=x+7
y=2x+5
y=x+7
y=2x+5
x+7=2x+5
7=x+5
2=x
y=2+7
y=9
Solution:(2,9)
300
Simplify.
(3x⁻²y³)(2x⁴y⁻¹)
(3x⁻²y³)(2x⁴y⁻¹)
=6x²y²
400
What is slope-intercept form? What is standard form? Give the general equation for both, using the correct letters that represent the variables.
y = mx + b
ax + by =c
400
Find the solution.
-8 = -16x + 8 - 4(-4x + 4)
-8 = -16x + 8 - 4(-4x + 4)
-8 = -16x + 8 + 16x - 16
-8 = -8
Answer: infinitely many solutions
400
Mr. Meron is working part-time at a Honda dealership selling cars. He receives a base salary of $1500 and receives $250 for every car he sells. If he wants to earn at least $ 3,000 by the end of the month to pay for a vacation, create a formula to determine how many cars he needs to sell.
1500+250x ≥ 3000
x ≥ 6
400
What are two ways to solve a system of equations? Feel free to name more!
Graphing, Equal Values Method, Substitution, and/or Elimination
400
Simplify. (3x⁻⁴y²)(2x¹y⁻⁵)
(3x⁻⁴y²)(2x¹y⁻⁵)
=6x⁻³y⁻³
=6/x³y³
500
Find the equation of a line that contains the point (1,1) and is parallel to the line y=3x+7
Slope is 3 (parallel lines have the same slope).
Use point (1,1):
y = 3x + b
1 = 3(1) + b
1 = 3 + b
b = −2
Answer: y = 3x − 2
500
Find three consecutive odd integers such that triple the sum of the first and the third integer is three less than the product of the second integer and three.
x is the first number, x+2 is the second, x+4 is the third
Set up the equation and solve:
3(2x+4)=3(x+2)-3
6x+12=3x+6-3
6x+12=3x+3
3x+12=3
3x=-9
x=-3
What is "-3,-1,1"
500
Tom is the deli manager at a grocery store. He needs to schedule employees to staff the deli department for no more than 260 hours per week.
Tom has one part-time employee who works 20 hours per week. Each full-time employee works 40 hours per week.
Write an inequality to determine n, the number of full-time employees Tom may schedule, so that his employees work no more than 260 hours per week.
What is "40n+20 ≤ 260"
500
3x+9y=-6
-4x-12y=8
What is the solution?
3x+9y=-6
3y=-x-2
y=-1/3x-2/3
-4x-12y=8
-12y=4x+8
y=-1/3x-2/3
Both equations are the same line:
y=-1/3x-2/3
Answer:The solution is all points on the line y= -1/3x - 2/3
500
(2x⁻²y³)(3x²y⁻³)
(2x⁻²y³)(3x²y⁻³)
=6x⁰y⁰
=6(1)(1)
=6