Priorities and Calculations : 7th grade math worksheets frere PDF.

7th grade math worksheets

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Worksheets with answers on operations and priorities in 7th grade to practice in seventh grade.

Exercise 1 – Calculate the expressions.

Calculate the following expressions by writing the intermediate steps:

a) $7\,+\,4\,\times \,8$ b) $3\,\times \,11\,-\,7\,\times \,4$ c) $37-6\,\times \,5$

d) $9\,-4\,:\,4$ e) $32\,:\,4-2\,+\,7\,\times \,3$ f) $9\,\times \,4\,:\,2\,-\,5\,\times \,2$

Exercise 2 – perform the calculations.

Calculate the following expressions by writing the intermediate steps:

$A\,=6\,\times \,(3\,+\,7)$ $B\,=23\,-\,4\,\times \,5$ $C\,=(3\,+\,5)\,\times \,(9\,-\,7)$

$D\,=(13\,-\,7)\,:\,2$ $E\,=5\,-\,%5B4\,-\,(2\,+\,1)%5D$ $F\,=(3\,+\,5\,\times \,7)\,:\,2\,+1$

Exercise 3 – Jam jar problem.

Aurélie buys 5 jars of jams at 9 € each and 12 baguettes at 6,50 € each.

Write a calculation to find the total price she has to pay.

Exercise 4 – placing brackets.

Copy the following expressions on your paper, adding parentheses to make the equality true:

$8\,+\,2\,\times \,5\,=50$ ; $9\,-\,3\,\times \,2\,+\,5\,=42$ ; $8\,+\,4\,\times \,3\,:\,2\,=18$

Exercise 5 – expressions and calculations.

Calculate the following expressions:

$A=24-\,5\,-1$ $B\,=14\,\times \,3\,-\,5\,\times \,2$ $C\,=10\,:\,%5B\,6\,-2\,\times \,(1\,-0,5)\,%5D\,\times \,5$

$D\,=8\,:\,4\,-\,0,25\,\times \,2$ $E\,=3\,\times \,(7\,-\,2)\,-\,4$ $F\,=72\,:\,9\,\times \,8\,:\,2\,-\,9\,\times \,3$

Exercise 6 – getting results.

Using the numbers 3; 7; 10 and

as many times as you want the signs + – x : ( ) try to obtain the following results :

20 ; 14 ; 31 ; 67 ; 40 ; 1.

Exercise 7 – Placing brackets.

Put the brackets and square brackets so that the equality is true:

$5\,\times \,4\,-\,1\,+\,2\,\times \,2\,=\,34$

Exercise 8 – Football problem.

The coach of a soccer team must buy 16 pieces of equipment for his players.

Each equipment is composed of a jersey for 24€, shorts for 11€ and a pair of socks for 4,50€.

Write the expression to calculate the amount of his purchases.

Exercise 9 – Boxer problem.

A boxer weighs 86.2 kg one week before a fight.

He goes on a diet that allows him to lose 0.6 kg for 7 days.

Write the expression that calculates the boxer’s weight on the day of the fight.

Exercise 10 – calculating expressions.

Calculate the following expressions:

A = 125 – 7 x4 + 11 B = (125 – 7) x4 + 11 C = 125 – 7 x(4 + 11)

D = 125 – (7 x4) + 11 E = [(125 – 7) x4] + 11 F = 125 – [7 x(4 + 11)]

Exercise 11 – Priorities of operations.

Calculates with respect to priorities:

1) 12,7 + 3,1×2 2) 12,7 – 3,1×2 3) 12.7 x3 + 3.1×7

4) 12.7 x3 – 3.1×8 5) (5 – 3) x(9.1 – 7.8) 6) (5 + 3) x(9.1 + 7.8)

Exercise 12 – Calculations and intermediate steps.

Writing the intermediate steps, calculate the following expressions:

A = = – 4 + 15 + ( 9 – 4) – 2 + (-4 + 1 )

B = – 35 + [12 + ( 75 – 55) – (15 – 8 ) ] + 7

C = 4 – (7 – 3 ) – [ 11 – ( 8 – 5)]

Exercise 13 – Exact or false equalities.

For each equality, indicate if it is correct or correct by placing the necessary brackets.

a) 6 + 5 x5 – 3 =28 b) 6 + 5 x5 – 3 =52

c) 6 + 5 x5 – 3 =16 d) 6 + 5 x5 – 3 =22

Exercise 14 – Priorities of operations.

Calculates by indicating the intermediate steps:

A = 25 – 7 x(8 – 5) B = (7 – 4) x3 + 4 – (7 x2 – 8)

C = 8 x3 – (12 : 3 + 2) x3 D = [10 + 5 x(6 – 4)]: 4

Exercise 15 – Calculating expressions
Calculate the following expressions by writing the intermediate steps:

A = 7 + 4 x8 B = 3 x11- 7×4 C = 37 – 6 x5

D = 9 – 4 : 4 E = 32 ÷ 4 – 2 + 7 ‘3 F = 9 x 4:2 – 5 x2

Exercise 16 – Numerical calculations

Calculate the following expressions by writing the intermediate steps:

x = 132 – 11×10 + 4 x2.5 y = 12.5 – 2 – 5.1 + 15 – 1.2

z = 120 – 4×5 – 7x’8 + 54 : 9 t = 22 + 3×1.5 – 1.5

Exercise 17 – Arrange in ascending order

Calculate and arrange the five results below in ascending order:

X = 2.9 + 0.8 x5 T = 4 x0.5 + 3 x1.36 C = 12.8 – 0.7 x 9

A = 10 – 9.9 : 3 E = 0.23 x 5 + 99.18 : 17.1

Exercise 18 – Calculating numerical expressions

Calculate the following expressions by writing the intermediate steps:

M = (6 + 2) x 7 N = 17 x (15 – 11) O = (3.5 + 6.5)x(14 – 9.5) P = (18 – 11) x(5 + 9)

Exercise 19 – Expressions to calculate

Calculate the following expressions:

A =6 x (3 + 7) B =23 – 4 x 5 C =(3 + 5)x (9 – 7)

D =(13 – 7) : 2 E =5 – [4 – (2 + 1)] F =(3 + 5x 7) : 2 +1

Exercise 20 – Linking expression and result

Link each calculation to its result with an arrow:

(5 + 5) x(5 + 5) . . 6

5 x(5 + 5 + 5) . . 10

5 + (5 + 5) x5 . . 55

(5 + 5) x(5 : 5) . . 75

(5 + (5 x5)) :5 . . 100

Exercise 21 – Writing a numerical expression

By using once the numbers 3 ; 7 ; 10 and as many times as you want the signs + – : and ( ) try to obtain the following results : 20 ; 14 ; 31 ; 67 ; 40 ; 1.

Exercise 22 – Placing parentheses correctly

Put brackets and square brackets so that the equality is true:

5 x4 – 1 + 2×2 = 34

Exercise 23 – Calculations with parentheses.

Perform the following calculations, detailing the various steps:

$\,A=8\times \,(26-14)$
$\,B=(7,5-2,5):(7,5+2,5)$
$\,C=(0,5+15+35+8,5+1,75)\times \,(55+45))$
$\,D=(1,2+3,8)\times \,(5,5-4)-(7,5-6)$

Exercise 24 – Calculations with nested parentheses.

Calculate the expressions by detailing the calculations:

$\,A=7\times \,%5B16-(2+9)%5D$
$\,B=%5B9-(9-8)%5D\times \,%5B(2+7):3%5D$
$\,C=4\times \,%5B39,2-(2,4+4,8)+3%5D$
$\,D=120:\,%5B(66-(25+8-7)):2+3%5D$

Exercise 25 – Find the calculations.

Translate into a numerical expression :

a. The sum of 7.5 and the product of 3 by 1.5 ;
b. The product of 7.5 and the sum of 3 and 1.5 ;
c. The quotient of the sum of 12 and 8 by 100 ;
d. The sum of the product of 3 by 6 and the result of subtracting 7 from 15.

Exercise 26 – Sequence of operations.

Calculate the following numerical expressions:

$A\,=\,12\,+\,8\,\times \,5\,-\,4\,+\,16\,: \,2\,\\B\,=\,17\,-(3\,+\,8\,-\,5)\,\\C\,=\,18\,+\,4\,\times \,(7\,\times \,2\,-\,6)\,\\D\,=\,75\,-\,(6\,+\,3\,\times \,10)\,: \,9\,\\E\,=\,3\,200\,\times \,0,01\,\times \,100\,-\,100\,\\F\,=\,(5,6\,+\,1,4)\,\times \,(3,4\,-\,1,4)\,\\G\,=\,48\,+\,2\,\times \,(7\,+\,3\,\times \,5\,-\,2\,\times \,10)\,\\H\,=\,5\,+\,3\,\times \,6\,-\,8\,: \,2\,\\I\,=\,24,1\,-\,%5B9\,-\,(2\,+\,5)%5D\,\\J\,=\,15,1\,-\,%5B17\,-\,(30-\,20)%5D\,\\K\,=\,128\,-\,4\,\times \,(6\,+\,1)\,+\,218\,-\,3\,\times \,(7\,-\,1)$

Exercise 27 – Numerical calculation and parentheses.

Calculate the following numerical expressions:

$A\,=\,12\,+\,%5B3\,\times \,%5B5\,+\,(4\,\times \,7)\,+\,2%5D%5D\,+\,(8\,\times \,3)$

$B\,=\,25\,-\,%5B12\,-\,(3\,+\,4)%5D$

$C\,=\,81\,+\,%5B(7\,+\,21)\,-\,13%5D\,-\,(17\,-\,9)$

$D\,=\,%5B(7,8\,-\,4,5)\,+\,11%5D\times \,(4\,+\,3)$

$E\,=\,6\,+\,%5B(7\,\times \,2)\,-\,(1,1\,\times \,2)%5D$

Exercise 28 – Bookseller’s problem.

A bookstore received a first package containing 50 Harry Potter books, then a second one containing 80.

He stores them on shelves that can hold 13 books.

How many shelves will it fill?

Exercise 29 – Flea market and price of a DVD.

At a flea market, Marc bought 8 books, 4 DVDs and 2 comics.

Each book cost 1.5 euro and a comic book 4 euros.

He paid a total of 38 euros.

What is the price of a DVD?

Exercise 30 – Operating priorities.

Calculate the following expressions by writing the intermediate steps:

a) 7 + 4x 8

b) 3×11 – 7x 4

c) 37 – 6x 5

d) 9 – 4 : 4

e) 32 ÷ 4 – 2 + 7 x 3

f) 9 x4 : 2 – 5x 2

Exercise 31 – Problem and numerical expression.

Match each problem with the correct expression. Then calculate by detailing the
calculations :
1) A farmer has 102 eggs and collects 18 more. He must ship his eggs in boxes of 12. How many boxes will it ship?

2) The college bursar’s office purchases 102 cartons of white paper and 12 of colored paper. A box costs 18 €.

What is the total price to pay?

3) A department store receives its delivery of fruit juice, 18 boxes of 12 bottles. It remains in reserve 102

bottles. How many bottles of juice are there now in this department store?

Exercise 32 – Bookseller’s problem and operations.

A bookseller received a first package containing 50 Harry Potter books,

then a second one containing 80.
He stores them on shelves that can hold 13 books.
How many shelves will it fill?

Exercise 33 – Priorities and numerical calculation.

Calculate the following numerical expressions:

$A\,=\,15\,+\,60\,: \,5\,\times \,6\,-\,3\,;\,\\\,B\,=\,45\,\times \,8\,-\,20\,: \,4\,\times \,2\,;\,\\\,C\,=\,150\,-\,(45\,-\,8\,-\,3)-\,34\,;\\\,D\,=\,25\,: \,(12\,-4\,-3)\,: \,5\,;\\\,E\,=\,48\,+\,36\,: \,6\,: \,3\,;\\\,M\,=\,40\,: \,4\,\times \,5\,;\,\\\,N\,=\,24\,: \,6\,\times \,2\,;\\\,O\,=\,15\,-\,7\,-\,6\,+\,1.$

Exercise 34 – Place parentheses correctly.

Copy the following expressions by placing parentheses to obtain the given results:

$9\,+\,3\times \,15\,=\,180\,;\\\,2\,+\,3\,\times \,5\,+\,4\,=\,45\,;\\\,8\,+\,9\times \,6\,+\,4\,=\,106\,;\,\\\,9\,\times \,5\,+\,17\,=\,198\,;\\\,1\,+\,2\,\times \,3\,=\,9\,;\,\\\,2\,\times \,3\,+\,5\,\times \,8\,+\,2\,=\,106\,;\\\,7\,\times \,2\,+\,6\,=\,56\,;\,\\\,3\times \,5\,+\,1\,-\,10\,=\,8$

Exercise 35 – Expressions containing parentheses.

Calculate the following numerical expressions:

A =(5 + 7)x 2; B= 5 + 7x 2; C= (12 – 4)x 3; D= 12 – 4 x 3; E= (21 – 18)x (12 – 10) + 1.

F= 18 + [12 – 2x (13 – 9)]; G= (4.8 – (2.5 + 0.3))x (3 + 3.5) ; H =[18 + 2 x(120 – 45)] x1.5 ;

I =700 – [300 – (300 – 80)].

Exercise 36 – Sequence of calculations.

Calculate the following numerical expressions using operating priorities.

$A=\,6\,+\,27\,:\,3\,\\\,B\,=\,24\,:\,3\,+\,16\,:\,8\,-\,2\,\\\,C\,=\,8\times \,6\,-23\,\\\,D\,=\,5\times \,6\,+\,4\,\times \,3\\\,E\,=\,7\,+\,15\,:\,3\,\times \,5\,\\\,F\,=\,3\,+\,4\,\times \,5\,-\,1\,\\\,G\,=\,15\times \,5\,-\,2\,\\\,H\,=\,55\,-\,7\,\times \,6\,+\,1\\\,I\,=\,12\,\times 4\,-\,15\,:3.$

Exercise 37 – Problem of the bd.

At a garage sale stand, Pierre bought 4 Titeuf comics for 2,50 € each and a remote control car for 6 €. He paid with a 20 € bill.

Write the calculation for the change given in a single expression and then perform the calculation.

Exercise 38 – Problem with the oil can.

I bought a can of oil at 12 € and four tires at 45 € each.

Write the calculation for the amount of the expense in one expression.

Then perform this calculation.

Exercise 39 – Translate each sentence into a calculation.

– F is the product of 4 and the sum of 12 and 5.

– G is the sum of the product of 6 by 8 and 20.

– H is the sum of 9 and the product of 11 by 3.

– I is the quotient of the sum of 8 and 4 by 6.

– J is the difference of 7 and the quotient of 25 by 7.

– K is the quotient of 9 by the difference of 7 and 4.

– L is the product of the difference of 15 and 7 by 8.

– M is the sum of the product of 8 by 4 and the product of 7 by 3.

– N is the product of the sum of 15 and 7 and the difference of 17 and 5.

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