1
Write linear equations for the following statement, using x to represent the unknown, without solving the equation.
Subtracting 3 from 5 times a certain number gives a result of −7.
5x-3=-7
Write linear equations for the following statement, using x to represent the unknown, without solving the equation.
When a certain number is subtracted from 14 and the result is then multiplied by 2, the final result is −3.
(14-x)2=-3
Write linear equations for the following statement, using x to represent the unknown, without solving the equation.
When 5 is added to 3 times a certain number, the answer is 8.
5+3x=8
Write linear equations for the following statement, using x to represent the unknown, without solving the equation.
The sum of 3 times a certain number and 4 is divided by 2. This gives a result of 5.
(3x+4)/2=5
Write linear equations for the following statement, using x to represent the unknown, without solving the equation.
When 12 is subtracted from 2 times a certain number, the result is 15.
2x-12=15
When a certain number is added to 3 and the result is multiplied by 4, the answer is the same as when that same number is added to 4 and the result is multiplied by 3. Determine the number.
0
John is three times as old as his son Jack. The sum of their ages is 48. Calculate how old John is.
36
In one afternoon’s shopping Seedevi spent half as much money as Georgia, but $6 more than Amy. If the three of them spent a total of $258, calculate how much Seedevi spent.
$66
The cost of producing an album on CD is quoted as $1200 plus $0.95 per CD. If Maya has a budget of $2100 for her debut album, determine the number of CDs she can make.
947
A square pool is surrounded by a paved area that is 2 metres wide. If the area of the paving is 72 m^2, determine the length of the pool.
7m
Maria is paid $11.50 per hour plus $7 for each jacket that she sews. If she earned $176 for a particular eight-hour shift, determine the number of jackets she sewed during that shift.
12
Mai hired a car for a fee of $120 plus $30 per day. Casey’s rate for his car hire was $180 plus $26 per day. If their final cost and rental period is the same for both Mai and Casey, determine the rental period.
15 days
A certain number is multiplied by 8 and then 16 is subtracted. The result is the same as 4 times the original number minus 8. Evaluate the number.
2
Joseph wants to have some flyers for his grocery business delivered. Post Quick quotes a price of $200 plus 50 cents per flyer, and Fast Box quotes $100 plus 80 cents per flyer.
Determine the number of flyers that Joseph need to get delivered for the cost to be the same for either distributor.
The cost is nearly the same for 333 flyers ($366.50 and $366.40).