**Q6: **

Daniel drove 231 miles in 3.8 hours. Which of the following equations can you use to find the rate at which he was traveling?

- A
- B
- C
- D

**Q7: **

Express the following sentence in algebraic form: The price increased by $6 is $35.

- A
- B
- C
- D
- E

**Q8: **

An animal shelter relies on donations to look after the cats and dogs. It costs to care for a cat and to care for a dog.

Let the number of cats at the shelter be and the number of dogs be .

Write an equation for the total daily cost in dollars, , of looking after the cats and dogs.

- A
- B
- C
- D
- E

**Q9: **

Which of the following means βThe difference between and five times is 19β?

- A
- B
- C
- D
- E

**Q10: **

Amelia says that there is no number whose additive inverse is the same as its multiplicative inverse. Write down the equation that such a value of would have to satisfy.

(*Hint*: we may suppose that . Why?)

- A
- B
- C
- D

**Q11: **

The sum of two numbers, and , is 17. What is the mathematical relation between and ?

- A
- B
- C
- D

**Q12: **

Suppose a vehicle is traveling at miles per hour. Which equation describes the total distance traveled by the vehicle, in miles, after a period of 9 hours?

- A
- B
- C
- D
- E

**Q13: **

Express the following phrase as an algebraic equation: The product of and is 48.

- A
- B
- C
- D
- E

**Q14: **

Express the following phrase as an algebraic equation: The product of and 4 is 32.

- A
- B
- C
- D
- E

**Q15: **

A car rental company charges per hour. Write an equation to represent this scenario using for the number of hours and for the total cost.

- A
- B
- C
- D
- E

**Q16: **

William spent a total of 93 minutes this week working out. Which of the following equations represents the number of William spent doing sit-ups?

Exercise | Push-ups | Sit-ups |
---|---|---|

Time (min) | 79 | ? |

- A
- B
- C
- D
- E

**Q17: **

The table shows the results of a survey which asked a group of students to pick their favorite music genre. If 288 students were surveyed, which equation can be used to find the number of students who chose Jazz?

Genre | Pop | Jazz | Rap |
---|---|---|---|

Fraction of Students |

- A
- B
- C
- D
- E

**Q18: **

Hannah bought 3 magazines for $28, $11 and $14 with a tax of $2. If she received $5 back as change, write a subtraction equation to determine how much money Hannah gave the cashier, and then solve it.

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

**Q19: **

Michael can drive 65 miles in 5 hours. Write an equation to find the number of miles, , Michael can drive in hours.

- A
- B
- C
- D
- E

**Q20: **

A store is having a sale. The table shows the regular price and the sale price of various items. Which of the following can be used to calculate the sale price?

Item | Regular Price | Sale Price |
---|---|---|

A | $17.00 | $9.35 |

B | $19.00 | $10.45 |

C | $13.00 | $7.15 |

D | $20.00 | $11.00 |

- A
- B
- C
- D
- E

**Q21: **

A group of 8 friends want to buy a new couch for $492 with a tax of $44. Write a multiplication equation to determine the amount of money each person should pay if the amount is divided equally, and then solve it.

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

**Q22: **

If is 14 more than three times, which of the following must be true?

- A
- B
- C
- D
- E