Evaluate Expressions
Describe the correct order of operations for the expression below.
14 ÷ 2 + 3 x 7
1). Divide
2). Multiply
3). Add
Is the value of the expression correct? If not, explain why.
3 + 6 x 4 = 36
No, the value of the expression is not correct. You should multiply first then add to get 27.
Choose the equivalent expression for the word phrase below:
The sum of 8 and 2 times 3
a). 8 x 2 + 3
b). 8 + 2 x 3
c). (8 + 2) x 3
d). 3 + 8 x 2
c). (8+2) x 3
Write a numerical expression for the word expression.
Tom had 4 cookies. Jim gave him 4 more.
4 + 4
or
4 x 2
Use parentheses to rewrite the expression so that its value is 70.
3 + 7 x 7
(3+7) x 7
10 x 7
70
6 × 4 + 9 ÷ 3
6 × 4 + 9 ÷ 3
24 + 9 ÷ 3
24 + 3
27
Is the value of the expression correct? If not, explain why.
8 ÷ 2 − 3 + 7 = 8
Yes
Write the numerical expressions in words.
The difference between 12 and 10 times 3
(12 – 10) x 3
Write a numerical expression for the word expression.
Jamie bought 15 cheeseburgers and divided them equally with 3 friends. He then went to McDonalds and bought 4 more.
(15 ÷ 3) + 4
Use parentheses to rewrite the expression so that its value is 6.
2 x 4 + 5 ÷ 3
2 x (4+5) ÷ 3
2 x 9 ÷ 3
18 ÷ 3
6
3×(10 − 4 ÷ 2)
3×(10 − 4 ÷ 2)
3×(10 − 2)
3× 8
24
(7 x 2) − (10 ÷ 5) = 12
Yes
Write the numerical expression. Then, solve.
Add 3 and 4, then by multiply 5.
(3 + 4) x 5
7 x 5
35
Sarah has 2 easter baskets. She decorated 20 eggs and her mother decorated 8 eggs to place in each basket. Which expression represents the number of eggs that will be placed in each basket?
a). 20 ÷ (2 + 8)
b). 20 + 8 + 2
c). (8 +20)÷ 2
c). (8 +20)÷ 2
Use parentheses to rewrite the expression so that its value is 20.
9 – 5 + 4 x 4
(9 – 5)+ 4 x 4
4 + 4 x 4
4 + 16
20
2 × (10 + 2 × 5)
2 × (10 + 2 × 5)
2 × (10 + 10)
2 × 20
40
Is the value of the expression correct? If not, explain why.
16 ÷ 4 x 4 = 1
No, the value of the expression is not correct. You should divide first then multiply to get 16.
Write the numerical expression words. Then, solve.
The sum of 2 tens and 3 fives
(2 x 10) + (3 x 5)
20 + 15
35
Lionel purchased 8 tickets to a Falcons game online. Each ticket cost $25. There was a one time fee of $6 for ordering online.
Write an expression to determine the total cost of the tickets.
25 x 8 + 6
or
(25 x 8) + 6
Use parentheses to rewrite the expression so that its value is 6.
15 ÷ 3 + 2 x 2
15 ÷ (3 + 2) x 2
15 ÷ 5 x 2
3 x 2
6
{15+[3(5+6)]}
{15+[3(5+6)]}
{15+[3(11)]}
{15+33}
48
Arichi says that each of the following expressions have the same value. Is he correct? Explain your answer.
3 x (11 – 2) and 4 x 9 + 4
No, the values of the expressions are not the same. The value of the first expression is 27 and the value of the second expression is 40.
Amy translated a phrase in the numerical expression shown below.
3 x (60 + 12)
Which phrase could he have translated. Choose two.
a). the sum of 60 and 12 times 3
b). 3 times 60 plus 12.
c). add 60 and 12, then multiply by 3.
a). the sum of 60 and 12 times 3
c). add 60 and 12, then multiply by 3
There are 18 football players going to practice. Each player has 3 red practice jerseys and 2 white practice jerseys. Write an expression to determine the total number of jerseys.
(3+2) x 18
or
(3x18) + (2x18)
Use parentheses to rewrite the expression so that its value is 20.
8 + 12 ÷ 4 – 3
8 + 12 ÷ (4 – 3)
8 + 12 ÷ 1
8 + 12
20