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99
Provide the coordinates of the red point and the quadrant.
(-3,4) in Quadrant 2
99
A large pizza at Papa John's is $16 plus $1.25 per topping. Write an equation for the total amount, a, in terms of t, the number of toppings ordered.
a = 1.25t + 16
99
Your bill is 84.80, and you want to leave a 20% tip. How much do you pay?
20% of 84.80 = $16.96
84.80
+16.96
101.76
99
What are the only values of x below that would make the following relation NOT be a functional relationship?
(2, 5), (3, 12), (7,1), (x, 10)
x can be anything, except for 2, 3, and 7, because a function cannot have the same x mapped to a different y.
Example: If x = 2, then we'd have (2, 5) and (2, 10), which is impossible for functions.
99
Which annoying team knocked the Nuggets out of the NBA playoffs? Hint: The State's nickname is "Land of 10,000 Lakes)
Minnesota Timberwolves
250
Jim sits on his bike at the top of a hill and then starts to pedal down the hill as his speed increases. When he reaches the bottom, he starts up a new hill as his speed lowers.
Which graph matches the scenario?
Graph 3- the incline on the graph is his speed increasing going down the hill. His speed peaks and then goes back down as he begins the climb the next hill.
250
(7x^2y^3)(3x^3y^2)
7*x^2*y^3*3*x^3*y^2
21x^5y^5
250
Three times the difference of a number and five is the same as the number added to five. Write an equation and then find the number.
3(n-5)=n+5
3n-15=n+5
Subtract n from both sides and add 15 on both
2n=20
n=10
250
Solve
4(2-5x)=6-3(1-3x)
Distribute (carefully)
8-20x=6-3+9x
8-20x=3+9x
Add 20x on both sides, then subtract 3 on both sides
5=29x
x=5/29
250
Which live-action popular Disney Movie comes out this summer?
Moana
360
Write the equation of the line that goes through the point (2,6) and is perpendicular to the line 4x + 2y = 8.
First, find the slope of the line 4x+ 2y = 8 by isolating the y.
2y = -4x + 8 (divide by 2) y=-2x + 4
m=-2, so the new line must have a slope of 1/2
Then, use point-slope with the point (2,6) provided.
y-6=1/2(x-2)
That answer is fine, or turn to slope intercept
y-6=1/2x-1
add 6
y=1/2x+5
360
Billy leans a 15-ft ladder against a wall. The base of the ladder is 9 ft from the wall. How high on the wall does the ladder reach?
a^2+9^2=15^2
a^2+81=225
Subtract 81
a^2=144
a=12 ft
360
3 kids and 2 adults pay a total of $120 for baseball tickets. Another group of 5 kids and 1 adult paid $95 for the same baseball game. How much do kids' tickets and adult tickets cost?
3k+2a=150
5k+a=95
Solve the system (elimination or substitution)
a = 95-5k
3k + 2(95-5k) = 120
3k + 190 - 10k = 120
-7k = -70
k = $10
a = 95-5(10) = $45
360
Simplify
1/3x(6x-9)+2(x^2-4)
Distribute
2x^2-3x+2x^2-8
Combine like terms
4x^2-3x-8
360
Who is the current US Secretary of State (hint: Florida is his home State as he used to be one of our Senators)
Marco Rubio
501
3w - 1 + w + 2 + 5 = 2w + w + 2w + w
4w + 6 = 6w
Subtract 4w from both sides
6 = 2w; thus w = 3
The longer side is 2w, so 6
501
4sqrt(75)+2sqrt12
4*sqrt(25)*sqrt(3)+2*sqrt4*sqrt3
4*5*sqrt(3)+2*5*sqrt3
20sqrt(3)+10sqrt3
Which are similar to like terms
30sqrt(3)
501
Factor and solve:
6x^2-19x=7
6x^2-19x-7=0
Factor with Guess & Check or AC/Grouping
(2x-7)(3x+1)=0
2x-7=0 or 3x+1=0
2x=7 3x = -1
x = 7/2 x = -1/3
501
Solve
2/3k-1/3=2/9
Add 1/3 on both sides (with common denominators)
3/9+2/9
2/3k=5/9
Multiply both sides by 3/2
k=5/9*3/2
k=5/6
501
What is the smallest planet in our solar system (not counting our dwarf planet Pluto)?
Mercury