**Q1: **

A mobile service provider charges $11.00 plus $4.00 per minute for long distance calls, whereas another provider charges $26.00 plus $1.50 per minute. Write an equation that represents the number of minutes for which the two providers would charge the same amount, and then solve it.

- A ,
- B ,
- C ,
- D ,
- E ,

**Q3: **

One telephone service provider charges $1 plus an additional $0.50 per minute for international calls, whereas another provider charges $4 plus an additional $0.25 per minute. Write and solve an equation to find the call length for which the two telephone service providers would charge the same amount.

- A minutes
- B minutes
- C minutes
- D minutes
- E minutes

**Q5: **

Michael and Elizabeth are competing on a quiz app. Michael has 40 points already and is winning 20 points per minute; Elizabeth has 20 points already and is winning 25 points per minute.

Write an equation that can be used to find , the number of minutes until Elizabeth overtakes Michael.

- A
- B
- C
- D
- E

**Q11: **

Amelia is making brooches to sell at a craft fair. It takes her 5 minutes to make a star brooch and 7 minutes to make a bow brooch.

On Saturday, she spent hours making brooches. She made 3 fewer star brooches than bow brooches.

Write an equation that can be used to find , the number of star brooches that Amelia made.

- A
- B
- C
- D
- E

**Q12: **

Charlotte has $18 in her piggy bank and Isabella has $11. Each week, Charlotte adds 50 cents to her piggy bank, while Isabella adds $1. How many weeks will it take for both girls to have the same amount of money in their respective piggy banks? What will that amount be?

- A 29 weeks, $40
- B 7 weeks, $18
- C 14 weeks, $18
- D 14 weeks, $25
- E 7 weeks, $25

**Q13: **

To roast a chicken, it should be cooked in the oven at for 20 minutes per pound plus an additional 20 minutes.

If a chicken takes hours to roast at , write an equation that you could use to find , the weight of the chicken.

- A
- B
- C
- D
- E

**Q14: **

For journeys between 9 pm and 7 am, a cab company charges a fixed fare of 4.50 dollars plus 40 cents per fifth of a mile.

If a passenger takes a cab at midnight and the fare was $12.10, how far did they travel?

**Q15: **

Matthew was collecting small change for charity. He collected cents, nickels, and dimes. He collected one and a half times as many cents as nickels and thirty-eight more dimes than nickels. There are three hundred and eighty-eight coins in his collection box.

How much money did he collect?

**Q16: **

One way to cook beef is to roast it in the oven at for 15 minutes per pound plus an additional 30 minutes.

A joint of beef takes hours to roast at .

What is the weight of the joint?

**Q18: **

Natalie likes to do puzzles. It takes her a quarter of an hour longer to solve a hanjie than a sudoku.

Over one weekend, she spent hours solving puzzles. She solved 3 sudokus and 6 hanjies.

Write an equation that can be used to find , the amount of time it takes her to solve a hanjie puzzle.

- A
- B
- C
- D
- E

Solve your equation to find how long it takes Natalie to do a hanjie puzzle.

**Q19: **

Elizabeth and Olivia are saving their allowances. Elizabeth has $100 in her account and saves $10 per month; Olivia has $50 in her account and saves $15 per month.

Write an equation that can be used to find , the number of months until their accounts have the same balance.

- A
- B
- C
- D
- E

Solve your equation to find .

**Q20: **

The sum of a number and nineteen divided by two is five more than three times the number.

Write an equation to represent the statement above. Let represent the number.

- A
- B
- C
- D
- E

**Q21: **

Let represent an unknown number. Write an equation that represents the statement βForty less than three times an unknown number is twenty.β

- A
- B
- C
- D
- E

**Q22: **

Emma has saved dollars, dimes, and nickels in her money box. She has four more dollars than dimes and half as many nickels as she has dollars. She has saved $10.85 in total.

How many coins are there in her money box?

**Q23: **

Jennifer volunteered to bring potato chips to a school picnic. There are 6 bags of chips in a multipack, and she bought multipacks. She keeps 5 bags of chips for her packed lunches and takes the remaining 37 bags to the party.

How many multipacks did she buy?

**Q24: **

The ages of four siblings are consecutive multiples of 3, and the sum of their ages is 78. Write an equation that can be used to find , the age of the oldest sibling.

- A
- B
- C
- D
- E

**Q25: **

William and Michael were playing a video game. Michael scored 58β959 more points than William. If their combined score was 86β905, write and solve an equation to determine Williamβs score.

- A , 145β864 points
- B , 72β932 points
- C , 27β946 points
- D , 13β973 points
- E , 72β932 points