5.03 Translating expressions and equations
Write the following algebraic expressions in words:
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.
Consider the phrase "145 added to 326".
Rewrite the phrase using mathematical symbols and numbers.
Now, find the value of the sum.
Kate, a sandwich maker, produces 10 sandwiches on average per hour. How many sandwiches will she produce in h hours?
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 that are majoring in physics.
Yvonne earns \$90 per week delivering newspapers.
Write an expression for how much she will earn in y weeks.
How much will she earn in 3 weeks?
Tina bought x chart-topping albums from Entertainment R Us for \$52. Write an expression for the average cost of each album.
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 x divided by 3 minus 3.
y is x divided by 3 plus 12.
y is the sum of x and 2, divided by 5.
Write an equation for each of the following sentences:
c is one tenth 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.
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.
Roxanne has been out picking 40 flowers to put in 5 different vases. If she puts p flowers in each vase, write an equation involving p.