Using the given key, state how many oranges are represented in the following diagrams using algebra:
Let m be the number of matchsticks in a full box. Write down an expression to represent the number of matchsticks there are if we have five full boxes and eight loose matchsticks.
Write an algebraic expression for each of the following phrases:
The sum of u and 11
15 less than a
n plus one
m is increased by two
Three times a number n
The product of 9 and the variable m
7 multiplied by x
8 more than 5 x
3 less than 8 y
Four times y take away 9
The product of 9 u and 8
The sum of 14 multiplied by v and 20
15 times the result of v reduced by 6
The quotient of b and 18
The quotient of 8 u and 9
8 more than the quotient of 9 and x
The difference of a and b, divided by 6
Write an equation for each of the following sentences:
y is equal to six.
y is 2 more than x.
y is 4 less than x.
y is 18 times k.
y is 20 times x plus 14.
y is 9 times x minus 2.
y is x divided by 3 minus 3.
y is x divided by 3 plus 12.
y equals five times the sum of x and ten.
y is the sum of x and 2, divided by 5.
Write an equation for each of the following sentences:
c is \dfrac{1}{10}th of d.
n minus nine equals four.
The sum of a and two is equal to three.
a is the difference of b and 7, divided by 2.
f is 5 less than the quotient of g and 4 .
Five times m is equal to double the difference of b and 10.
x is equal to 3 groups of the sum of a and b.
q is added to p, and the result is one less than triple r.
m is equal to 7 groups of the difference between n and 8, then increased by 4.
The product of a and b is the same as 11 more than the quotient of a and b.
Let the variable q represent the unknown number. Write an equation for the phrase below:
"The sum of one third of a number and eight is equal to four less than the number."
If y represents the population of a country, write the expression that represents 4.5 times this population.
The other day Tina bought k chart-topping albums from Empire Records for \$52. Write an expression for the average cost of each album.
Kate, a sandwich maker, produces 10 sandwiches on average per hour. How many sandwiches will she produce in v hours?
Yvonne earns \$90 per week delivering newspapers.
Write an expression for how much she will earn in u weeks.
How much will she earn in 3 weeks?
Two angles are supplementary if they sum to 180 \degree. If one angle is y \degree, write an expression for the supplementary angle.
The number of students majoring in physics at a particular university is 2200 fewer than the number of students majoring in computer science. If the number of students majoring in computer science is m, write an expression for the number of students are majoring in physics.
One foot is equal to 0.305 metres. If Jack's height in metres is a, write an expression for his height in feet.
Roxanne has been out picking flowers, and has 40 in total. When she returns, she puts them in 5 different vases. If she puts p flowers in each vase, rewrite the following sentence using algebra:
"There are 5 groups of p flowers, which make 40 in total."
Consider the shape in the diagram shown:
If A represents the total area of the shape, rewrite the following sentence as an equation:
"The total area of the shape is equal to the product of a and b, added to the product of b and c".
