### pre algebra part 2

## Question 1 (5 points)

*Solve each equation.*

*y* + 20 = 7

## Question 2 (5 points)

*Solve the equation.*

An electrician charges a service call fee of $60 plus $55 per hour. Another electrician charges a service call fee of $20 plus $65 per hour. Set up and solve an equation to determine the number of hours,

*h*, for which the cost would be the same for hiring both electricians.

## Question 3 (5 points)

*Write the inequality for the graph.*

## Question 4 (5 points)

Melanie is reading a book that has 577 pages. She has already read 187 pages of the book and will read an additional 26 pages per night. Solve 187 + 26*n* = 577 to find how many more nights it will take Melanie to finish the book.

## Question 5 (5 points)

*Solve the inequality. Graph the solution on a number line.*

## Question 6 (5 points)

*Solve the inequality. Graph the solution on a number line.*

## Question 7 (5 points)

*Graph the inequality on a number line.*

## Question 8 (5 points)

*Write the inequality for the graph.*

## Question 9 (5 points)

Terrell is saving to buy a video game system that costs $158.50. He paid a deposit of $48.25 and will save an additional $15.75 per week to pay for the system. Solve 48.25 + 15.75*w* = 158.50 to find the number of weeks Terrell will need to save money for the video game system.

## Question 10 (5 points)

*Solve each problem by writing and solving an equation.*

Kendra hasn’t missed a day of school in 245 days. This is twenty days less than five times the number of days it has been since Brandon has missed a day of school. How many days has it been since Brandon missed a day of school.

## Question 11 (5 points)

*Solve each equation.*

6.97

*a* = 27.88

## Question 12 (5 points)

*Solve each problem by writing and solving an equation.*

Seki and Raina sold a total of 162 candles for their school fund-raiser. If Seki sold three boxes of candles and Raina sold two boxes plus twelve single candles, how many candles come in each box?

## Question 13 (5 points)

*Translate each sentence into an equation. Then find each number.*

The sum of eleven and seven times a number is –17.

## Question 14 (5 points)

*Solve the inequality.*

2

*a* + 6 – 6

*a* > –2

## Question 15 (5 points)

*Translate each sentence into an equation. Then find each number.*

The difference of nine, and a number divided by four is 13.

## Question 16 (5 points)

*Solve each problem by writing and solving an equation.*

Jamey rides his bike the same distance each day while training for a race. He also jogs 3.4 miles per day. During 5 days of training, he bikes and jogs a total of 80 miles. How many miles does Jamey ride his bike each day?

## Question 17 (5 points)

*Solve the inequality. Graph the solution on a number line.*

## Question 18 (5 points)

*Solve each problem by writing and solving an equation.*

A group of 9 friends went bowling. Each person pays the same amount to bowl several games and a $3 fee to rent shoes. The total cost for the friends to bowl and rent shoes is $162. How much does it cost each friend to bowl (not counting the shoe rental fee)?

## Question 19 (5 points)

*Solve each equation.*

–40 = –8(

*x* + 2)

## Question 20 (5 points)

*Solve each problem by writing and solving an equation.*

For his son’s birthday party, Mr. Mori bought four equally-priced pizzas and a $3 bag of potato chips. If he spent $39, find the cost of each pizza.