Simplify the following:

(a)

20a + 14 - 8a - 7

(b)

b + 6b - 2b

Find the value of the expression when n is 8.

(a)

150 - 2n²
 

(b)

The average price of 3 shirts is $12.  One of the shirts costs $p and the other costs $10.

(a)

Express the price of the third shirt in terms of p in the simplest form.

(b)

What is the price of the third shirt if p is $13.50?
 

Amy is x years old.  Betty is 4 times as old as Amy.  Carla is 3 years older than Betty.

(a)

Express Carla's age in terms of x.

(b)

If Amy is 2 years old, how old is Carla?
 

Mrs. Wilson bought 4 bags of rice.  She gave the cashier $50 and received $y change.

(a)

Express the the cost of one bag of rice in terms of y.

(b)

If y = 18.60, what is the cost of one bag of rice?
 

6.

 of Andy's money isof Bob's money.

(a)

Express Andy's money as a fraction of Bob's money.

(b)

If Andy has $15 more than Bob, how much money do they have altogether?
 
 

7.

Mrs. Johnson mixed meat with potatoes in the ratio of 5 : 3 to make 4 kg of meat loaf.  How much meat did she use?
 
 
 

8.

The ratio of Zoe's money to Yolanda's is 3 : 7.  Yolanda has $64 more than Zoe.  If Yolanda gives  of her money to Zoe, what will be the new ratio of Zoe's money to Yolanda's?
 
 
 

9.

Mr. Olson had 16 L of paint.  He used 3 L 250 ml to paint one wall and 80% of the remainder to paint another wall.  How much paint did he have left?
 
 

10.

A fuel tank of a car is 80% full.  After traveling some distance, only 30% of the fuel is left.  The tank is then filled to its full capacity by putting in 19 gallons.  What is the full capacity of the tank?
 
 
 

11.

4,860 people visited a fair on Saturday.  This was 20% more than the number of visitors on Friday.  How many visitors were there on Friday?
 
 

12.

30% of the beads in a jar are red.  The rest are blue.  If there are 500 more blue beads than red, how many beads are there altogether?
 
 
 

13.

A cyclist took 3 h to cycle from Town X to Town Y.  His average speed was 12 km/h.  If his average speed was increased by 3 km/h, how much time would he then take for the journey?
 
 
 

14.

A motorist traveled from Town A to Town B.  After travelingof the distance for the journey at an average speed of 45 mi/h, he continued to travel another 480 km to reach Town B.  If his average speed for the entire journey was 54 mi/h, what was his average speed for the lastof the distance?
 
 

15.

A car and a truck were traveling to Town Q at constant average speeds.  The car overtook the truck when they were 420 km from Town Q.  The car arrived at Town Q at 6:30 p.m. while the van was still 120 km away from Town Q.  The van arrived at Town Q at 8:30 p.m.  What was the average speed of the car?