Accelerated 8, January 25, 2021

Accelerated 8

January 25, 2021

Nina purchased apples and strawberries. She purchased a total of 9 pounds of fruit and spent a total of $16.35. Strawberries cost $1.60 per pound and apples cost $1.99 per pound. How many pounds of each type of fruit did she buy?

• This requires two equations.

• First, an equation that represents the amount of fruit she purchased.

• Second, an equation that represents the cost of the fruit.

Jay is selling tickets to a football game. He sold 21 tickets for a total of $486. A first section ticket costs $30, while a second section ticket costs $18. How many of each type ticket did he sell?

• This requires two equations.

• First, an equation that represents the number of tickets sold.

• Second, an equation that represents the cost of the tickets.

A local high school collected $1,590 from 321 people who attended a football game. The price of each adult admission is $6. People between the ages of 4-17 paid a child admission of $4. How many adult tickets and child tickets were sold that day?

• This requires two equations.

• First, an equation that represents the number of people attending the football game.

• Second, an equation that represents the cost of the tickets.

A camera company sells two types of point and shoot cameras. Model A costs $150 and Model B costs $225. If the company sold 22 cameras for a total of $3,900. How many of each model were sold?

• This requires two equations.

• First, an equation that talks about the number of cameras sold.

• Second, an equation that talks about the amount of money made.

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Your grandmother makes quilts for everyone in the family. A large quilt requires 8 yards of fabric while the small quilt requires 3 yards. How many of each size quilt did she make if used a total of 90 yards of fabric to make 15 quilts?

(large, small)

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New York City is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 6 vans and 2 buses with 94 students. High School B rented and filled 5 vans and 5 buses with 165 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.

(van, bus)

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Find the measure of angle A.

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Write the slope intercept form of the equation of each line. (y=mx+b)

 $7x+6y=-48$  

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Solve the equation for x. If x equals a number, write the number, if not:
I = infinite
NS = no solution

 $5\left(4x-3\right)+10=-5\left(1-4x\right)$  

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One line passes through the points  $\left(1,6\right)$  and  $\left(3,0\right)$  . A second line passes through the points  $\left(4,4\right)$  and   $\left(2,8\right)$  . At what point do the lines intersect?

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 $\frac{\left(2m^2n^3\times m^0\right)^2}{m^{-4}n^{-3}}$  

Simplify. Your answer should only contain positive exponents. Use ^ for exponents. Write answers in alphabetical order.

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Two plumbing companies charge a flat fee, plus an additional cost per hour of service. Martin's plumbing uses the equation   $y=40x+85$  to determine the total cost of providing x hours of service to a customer. The table shows the total cost to use Alex's plumbing for different number of hours of service. What is the difference in the cost per hour charged by the two companies?

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The combined weight of a puppy and its mother is 47 pounds. The mother weighs 8 pounds less than 4 times the weight of the puppy. How much does the puppy weigh?

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Paige and Cindy have been saving money. Paige started with $350 in her savings and deposits $25 into her savings each week. Cindy’s savings is represented by the equation T = 190 + 40w, where T is total savings and w is the number of weeks. In how many weeks will Cindy have more money in her savings than Paige?