Hotmath Practice Problems

Classify the given expression as a numerical expression or a variable expression. Name the variable, if it is a variable expression.

b + 7

Classify the given expression as a numerical expression or a variable expression. Name the variable, if it is a variable expression.

10 – n

Write the simplest form of the given expression.

1.53 + 11.3

Write the simplest form of the given expression.

0.4 8

Find the value of the given expression when y = 3.

y + 21

Find the value of the given expression when y = 3.

9 y

Find the value of the given expression when m = 6.

4 + 7 + 5 + m

Find the value of the given expression when n = 5.

10(n – 2)

Find the value of the given expression when m = 6.

m m m m

Evaluate the expression when x = 4.

(8 – x + 8) x

Find the value of the expression when x = 6 and y = 2.

x – y

Find the value of the given expression when c = 5.3 and d = 2.

c d

Evaluate the expression when a = 2 and b = 7.

(a + b) (b – 2a)

Find the value of the expression when b = 5 and c = 8.

3bc (c – b)

Find the value of the expression when a = 2.4 and b = 8.4.

6ab(2b + a)

Find the value of the given expression if a = 7, and c = 8.

Find the value of the given expression if a = 7, b = 2 and c = 8.

Transform the given phrase into an algebraic expression.

the quotient of seventy–five and c

Convert the word phrase "7 times a number" to a variable expression.

Convert the sentence " x less than 5 is equal to 10" to a mathematical equation.

Convert the word phrase "a number m increased by 200" to a variable expression.

For the given quantity, write an expression.

the number of months in x years

A helicopter is flying at an altitude of m meters.

For the expression m + 25, write a word phrase.

A helicopter is flying at an altitude of m meters.

For the expression 2m, write a word phrase.

For the given algebraic expression form a verbal phrase.

28 – c

For the given algebraic expression form a verbal phrase.

s 8

For the given algebraic expression form a verbal phrase.

3b + 2

Tom has x mangoes. If Sam has 35 fewer mangoes than Tom, write a variable expression for the number of mangoes Sam has.

In a zoo, there are three times as many tigers as lions.

a) Find the number of tigers if there are x lions.

b) Find the number of lions if there are y tigers.

Ruth and her family went out for a movie. She bought eight adult tickets at $5.75 each and three children's tickets at $3.25 each. Calculate the money she paid at the counter.

If n is an even number, what can you say about ?

What must be true about n for to also be an even number?