Solving Linear Equations
2x-6=-10
x=-2
If Miss Crellin invests $3,000 into an account with a 3.5% rate for 4 years. How much interest will she make?
$420
Hypotenus = 7
other side = 5
fine remaining side
4.90
Eric buys a ticket for the movie and a popcorn, which costs $6. He spends $16.50 in all. How much was
the movie ticket?
$10.50
(x+1)/2=3
x=3
If Miss Crellin invests $6,820 into an account with a 0.5% rate. How much will be in her back account after 5 years?
$6990.50
Miss Crellin show road sign question
72.75cm
Mr. Shipley is in charge of a school trip. 324 students will go on the trip. The school has seven buses and
one van. If the van can haul nine students, how many students will ride on each bus?
45 students
10x=9x+12
x=12
An investor wishes to earn $240 000 interest over a five-year period from an account that earns 12.5% simple interest per annum. How much does the investor have to deposit in the account?
$384 000
A flagpole, 12 m high, is supported by three wires attached from the top of the pole to the ground. Each wire is pegged into the ground 5 m from the pole. Determine how much wire, in total, is needed to support the pole, correct to the nearest metre.
39m
Janey bought 3 granola bars. Later, she bought 4 more. If her total payments were $17.50, how much is
a granola bar?
$2.50
(x/3)+2=5
x=9
If the simple interest earned on a $5000 investment is $47.82 after 3 years, what is the annual interest rate (correct to three decimal places)?
0.319%
Sarah goes canoeing in a large lake. She paddles 2.1 km to the north, then 3.8 km to the west. Use the diagram to determine how far she must then paddle to get back to her starting point in the shortest possible way. Give your answer correct to 2 decimal places.
4.34km
The sum of the ages of the Diallo sisters is 51. Their ages can be represented as three consecutive odd
integers. What is the age of the middle sister?
17 years old
3(2x+4)+2(3x-2)=20
x=20
An investor has a total of $10 000 to deposit into two simple interest accounts. On one account, the annual simple interest is 6.5%. On the second account it is 8%. How much should be invested in each account so that the total annual interest earned is $695? Show your calculations.
In one account, $7000 was invested at 6.5%, and in the second account, $3000 was invested at 8%.
A rectangular envelope has a length of 24 cm and a diagonal measuring 40 cm. Calculate the width.
32cm