Creating Expressions
x+98
A company rents bicycles for a fee of $10 plus $4 per hour of use. Write an algebraic expression for the total cost in dollars for renting a bicycle for h hours.
4h+10
2p+4
4 more than the product of 2 and p.
2 multiplied by p plus 4.
The product of 2 and p with the sum of 4.
Is there an error or is this correct?
The sum of Triple x and 45.
3x / 45
No, sum is the key word for addition.
3x+45
What is a Variable? Write the definition and give an example.
A variable is a letter in an expression or equation where that number is the unknown.
a,b,c,d,e,f...z
Eight times a number increased by seventy
8x+70
George earned 80 points in the subjects. Bruno earned b fewer points than George. Write an expression that shows how many extra points Bruno earned.
80-b
3x-9
9 minus the product of 3 and x.
9 less than 3 multiplied by x.
9 fewer than 3 of x.
Is there an error or is this correct?
9 divided by k.
9/k
Yes this is correct.
What is a coefficient? Give a definition and an example.
A coefficient is a number next to a variable.
3x, 4x, 5x...
9 less than any number.
x-9
Maria has three more than twice as many crayons as Elizabeth. Write an algebraic expression to represent the number of crayons that Maria has.
2c+3
16/p-9
9 less than the quotient of 16 and p.
9 minus 16 divided by p.
9 take 16 spilt up p.
Is there an error or is it correct?
9 less than r.
9-r
It is wrong, the 9 will be less than r making r the number in front and 9 in the back.
r-9
What is a constant? Give a definition and an example.
A number which is by itself in a expression or equation.
3,4,5,6 (not going there)
Seventy more than five thirds of a number
5/3x+70
A technician charges $50 for a visit plus $30 per hour.
50+30h
2/5x-7
7 less than the product of 2/5.
7 minus 2/5 multiplied by any number.
Is there an error or is this correct?
The product of 2/5 and k.
2/5·k
There is an error, you don't put an operation for multiplication between the coefficient and variable.
2/5k
What is a term?
3x + 4
Twice of x.
2x
A sweater originally costing P dollars is on sale for 20% off.
0.20p
1.2q+123
123 more than 1.2 multiplied by q.
The product of 1.2 and q and 123 more.
123 added to 1.2 times q.
Is there an error or is this correct?
327 less than the product of 3 and any number.
327 - 3q
3q-327
What is an equation AND an expression? Give the definition of BOTH and an example of BOTH.
Equation = a problem which has an equal sign in it.
x+5=7
Expression = a problem which the is NO equal sign.
x+5