Multi-Step Equations
Solve: 2x-7=9
8
Caleb is selling tickets for the girl's volleyball game. The cost of an adult ticket is $3.00 and the cost of a student ticket is $1.50.
Write an equation that represents the total amount of money collected at the door from ticket sales, where the number of adult tickets sold is represented by a, student tickets sold is represented by s, and the total is represented by T.
T = 3a + 1.5s
Simplify: 20/4
5
Simplify: 1/2times2/4
1/4
Solve: -6+4
-2
Simplify: 2x+5-x+11
x+16
Solve: 2(x+3)=10
2
TyQuan wants to catch up to Melvin in ‘One Piece’. Melvin is on episode 952 and watches 1 episode each week. TyQuan is on episode 748 and watches 7 episodes each week. Write the functions for their watch speeds in terms of w. How many weeks w will it take TyQuan to catch up to Melvin? What episode will they be at?
Melvin: F(w) = 952 + w;
TyQuan: F(w) = 748 + 7w
34 weeks
Episode 986
Simplify: 2/3+7/3
3
Simplify: 7/9divide4/3
7/12
Solve: -13+17-4
0
Simplify: 2x^2-5x+11+3x
2x^2-2x+11
Solve: x/11+13=15
22
Sakia and Patricia are starting a snack business. They are selling fruity and chocolate pebble crispy treats. They charge $2 for the fruity pebble treats and $3 for the chocolate pebble treats. In their first week, they make $33. That week, they end up selling 14 treats total.
How many of each treat did they sell that week?
Which flavor was more popular?
x = 9 chocolate treats; y = 5 fruity treats. The chocolate treats were more popular.
Simplify: -7/10-8/10
-3/2
Simplify: 6/5times6/3
12/5
Solve: -23+15-8
-16
Simplify: 3x^2+2x^3-15x^2+4x
2x^3-12x^2+4x
Solve: 2x^2-3=6+x^2
-3, 3
Kayden pays a monthly fee for a music streaming app. The total cost C (in dollars) is given by the function C(m) = 5 + 7m where m is the number of months.
What does the 5 represent in this situation?
What does the 7 represent in this situation?
How much will Kayden pay in total after 4 months?
Is this relationship linear? Explain why.
The 5 is the starting cost before any months pass. The 5 represents a one-time sign-up or activation fee of 5 dollars.
The 7 is multiplied by m, the number of months.
This is the cost per month. Therefore the 7 represents 7 dollars per month for the subscription.
Substitute m=4 into the function: C(4) = 5 + 7(4) then C(4) = 5 + 28 = 33; Kayden will pay 33 dollars after 4 months.
Yes, it is linear because the cost increases by the same amount (7 dollars) each month. A linear relationship has a constant rate of change.
Simplify: 2/3+1/4-2
-13/12
Simplify: 4(1/7times3/2)
(Hint: PEMDAS)
6/7
Solve: -2(4)+7+20-1
18
Simplify: x^2+2x^3-5x^2+11+27x-8x^3+6-x
-6x^3-4x^2+26x+17
Solve: 8x-6(2x-7)= -5(3x+7)
-7
Tamaya throws a ball off the roof of a building. The function h(x) = −32x^2 + 128 models the height, h(x), in feet, of the object above the ground x seconds after it is dropped.
What kind of function is used to model the ball's height?
What is the best description of the meaning of h(2) = 0 in terms of the context?
Quadratic function
Object is on the ground/is no longer falling after 2 seconds
Simplify: (1/4)^2+7/16-11/32
5/32
Simplify: 12(1/3divide1/2)^2
(Hint: PEMDAS)
16/3
Tired of making questions...
Simplify: -17+4x-3(x^2+4x^4-5)+13x^2
-12x^4+10x^2+4x-2