Equations and Expressions
Simplify: (4x+8)/4 + 2(x-1)
3x
A rectangle is 3 times as long as it is wide, and its perimeter is 210 in. longer than its width. Find its width and length.
Width = 30 in, Length = 90 in.
Write an expression for the number of cents in the total value of 3n nickels and 2n dimes
35n cents
Evaluate: 13% of 36 + 12% of 36
9
Solve and check: 3(x+2)+4(2x-1)=24
x=2
Theta = 63 years old; Delta = 57 years old
A collection of money consists of pennies, nickels, and dimes. There are 5 more dimes than pennies and 6 more nickels than dimes. The total value of the collection is $4.25. How many coins of each kind are there?
20 pennies, 25 dimes, 31 nickels
If 15% of a number is 24, find the number.
160
The sum of two numbers is 60. If one number is 5 more than the other number, find the two numbers.
27.5 and 32.5
Dan is three times as old as Josh. Three years ago the sum of their ages 22 years. How old is each now?
Dan = 21 years old; Josh = 7 years old
A boy has a sum of money made up of dimes and quarters. The total value of the money is $4.30, and he has 8 more dimes than quarters. How many quarters does he have?
10 quarters
Two numbers are in the ratio 3:5 and their sum is 96, find the two numbers
36 and 60
Solve: 0.5(x+4)=8
x=12
The length of a rectangle is 4 ft more than twice the width. If the perimeter is 68 ft, find the dimensions of the rectangle.
Length = 24 ft, Width = 10 ft
A sum of money is invested at 3% and a sum which is $5000 larger is invested at 5%. If the total annual income from the investments is $570, what sum is invested at 3%?
$4000
If the area of a rectangle is decreased by 12%, the remaining area is 132 square inches. What was the original area?
150 square inches