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Order of Operations
Word Problems
100
Write the following algebraic expression as 2 word phrases. n + 12
a number plus 12, 12 more than a number, the sum of a number and 12
100
Translate the following word phrase into an algebraic expression. the sum of a number and three
3 + n
100
Evaluate the expression for n = 16 48 + n
64
100
What is the first step in evaluating the expression 2 + (3 x 5) - 4 - 1
100
Write an expression for the following problem, then solve. Allison collected 15 skipping stones along the shore of a lake. Carolina also collected some skipping stones. When they put their stones together, Allison and Carolina had 71 skipping stones. How many stones did Carolina collect?
71 - 15 = s s + 15 = 71 Carolina collected 56 stones.
200
Write the following algebraic expression as 2 word phrases. 3h
three times a number the product of three and a number a number multiplied by three
200
Translate the following word phrase into an algebraic expression. the product of eight and a number
8x
200
Evaluate the expression for r = 8 272/r
34
200
Evaluate the expression 25 / 5 - 4
1
200
Write an expression for the following problem, then solve. When Nada divided her bead collection into 18 jars, there were 4 beads in each jar. How many beads did she have altogether?
b/18 = 4 4 x 18 = b Nada's collection contained 72 beads.
300
Write the following algebraic expression as 2 word phrases. t - 9
a number minus 9, 9 less than a number, the difference of a number and 9 9 subtracted from t
300
Translate the following word phrase into an algebraic expression. 36 less than a number
n - 36
300
Evaluate the expression for x = 25 and y = 14 5x + y
139
300
Evaluate the expression (22 x 7 - 50) / 2
52
300
Write an expression for the following problem, then solve. Amy finds a pair of shoe she likes that cost $97.00. They cost twice the amount of money she has. How much money does Amy have?
$97 / 2 = m m x 2 = $97 Amy has $48.50.
400
Write the following algebraic expression as 2 word phrases. n \ 12
a number divided by 12 the quotient of n and 12 12 equal parts of a number
400
the quotient of a number and 2
x/2
400
Evaluate the expression for m = 4 8 + 2m - 3
13
400
Evaluate the expression 20 - (2 x 6) + 8 / 4
4
400

Write a numerical expression, then solve the problem.  A pack of 12 pencils costs $3 while the cost of 12 pens is $5.  Write a numerical expression of the total cost of buying 4 packs of pencils and 4 packs of pens.

4*3+4*5

Total: $32

500
Write the following algebraic expression as a word phrases. 5(4+x)
5 times the sum of 4 and a number the product of five and the sum of 4 and a number
500
Translate the following word phrase into an algebraic expression. a number added to 19 then multiplied by 4
(19 + n) x 4
500
Evaluate the expression for b = 82 and c = 9 (87 + b) - (c x 8)
97
500

Insert parentheses to make this expression true 1 + 2 * 2 - 5 = 0

1 + (2 * 2) - 5 = 0

500

Solve the problem, then explain how you got your answer. Nancy runs a dog obedience school. There are a total of 58 dogs enrolled in the school. There are 22 dogs in obedience class. Out of the remaining dogs, there are equal amounts of dogs in competition as there are in the fancy tricks class. How many dogs are in each class?

22 in obedience, 18 in competition, 18 in fancy tricks.