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WorksheetsGEMDAS, Verbal Numerical Algebraic Expressions and Equations
Total questions: 84
Worksheet time: 5hrs 20mins
Name
Class
Date
1.
Find an equivalent expression:
4( x + 3) =
4( x + 3) =
a)
4x + 3
b)
4x + 12
c)
4 + 3x
d)
x + 12
2.
Simplify this expression:
3(x + 4)
3(x + 4)
a)
3x + 4
b)
3x + 12
c)
15x
d)
3x + 4x
3.
Six more than some number equals 52
a)
6 + x = 52
b)
6 + 52 = x
c)
6x = 52
d)
6x + 52 =
4.
Translate this sentence into an equation.
106 is the product of Kerry's score and 4.
Use the variable z to represent Kerry's score.
106 is the product of Kerry's score and 4.
Use the variable z to represent Kerry's score.
a)
106z = 4
b)
106 = z + 4
c)
106 = 4z
d)
4 = 106z
5.
Translate the sentence into an equation:
The product of a number and two-thirds is 24.
The product of a number and two-thirds is 24.
a)
2/3 + x = 24
b)
2/3 x = 24
c)
3/2 x = 24
d)
x / (2/3) = 24
6.
Translate the sentence into an equation:
Four more than six times a number is 18.
Four more than six times a number is 18.
a)
10x = 18
b)
4x + 6 = 18
c)
4 + 6x = 18
d)
not enough info
7.
Translate the sentence into an equation.
Seven subtracted from n is 18
Seven subtracted from n is 18
a)
n + 7 = 18
b)
7 - n = 18
c)
n - 7 = 18
d)
n + 7 = 18n
8.
Translate the statement into an equation:
Five less than a number is 6
Five less than a number is 6
a)
n - 5 = 6
b)
5 - n = 6
9.
Translate the statement into an equation:
6 less than twice a number is 4
6 less than twice a number is 4
a)
2n - 6 = 4
b)
6 - 2n = 4
10.
Translate the statement into an equation:
Seven less than a number is 3
Seven less than a number is 3
a)
7 - n = 3
b)
n - 7 = 3
11.
Translate the statement into an equation:
The sum of 4 times a number and 8 is equal to 6 times the number.
The sum of 4 times a number and 8 is equal to 6 times the number.
a)
8 + 4 = 6
b)
8 + 4x = 6
c)
8 + 4x = 6x
d)
(8 + 4) ⋅ x = 6x
12.
Two more than 4 times a number is -18.
a)
4x + 2 = -18
b)
2x + 4 = -18
c)
18 = 4x +2
13.
5 less than a number is 15.
a)
x - 5 = 15
b)
5 - x = 15
c)
15 - x = 5
14.
Match the clue word with the operation:
SUM
SUM
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
15.
Match the clue word with the operation:
PRODUCT
PRODUCT
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
16.
Match the clue word with the operation:
DIFFERENCE
DIFFERENCE
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
17.
Match the clue word with the operation:
QUOTIENT
QUOTIENT
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
18.
The difference between 3 and k is multiplied by 8.
a)
3 - k • 8
b)
k - 3 • 8
c)
8(3-k)
d)
8(k-3)
19.
After eating at the restaurant, Mary, Jason, and Keith decided to divide the bill evenly. If each person paid 36 dollars, what was the total of the bill? Write an equation that could be used to solve this problem.
a)
3x = 36
b)
3/x = 36
c)
36x = 3
d)
x/3 = 36
20.
What is the difference between an expression and an equations?
a)
An expression has an equal sign (=)
b)
an equation has an equal sign (=)
21.
An algebraic equation is....
a)
A math statement that does not have an equal sign.
b)
A math statement with an equal sign.
c)
A letter or symbol that represents a number.
d)
A number that can evenly go into another number without a remainder.
22.
An algebraic expression is .......
a)
A math statement with an equal sign.
b)
A math statement without an equal sign.
c)
A letter or symbol that represents a number.
d)
A number that goes evenly into another number without a remainder.
23.
3x + 4
a)
Expression
b)
Equation
24.
3x + 4 = 13
a)
Expression
b)
Equation
25.
x + 6
a)
Expression
b)
Equation
26.
Which of these can be written as an equation?
a)
3.2 times w plus 18
b)
Half of 26 minus b is 81
c)
Product of 12 and n is more than 21
d)
6 times x minus 2.5
27.
Which of these can be written as an equation?
a)
Product of 7 and n is less than 11
b)
5 times x minus 9
c)
Half of 8 plus b is 35
d)
2 times w plus 14
28.
A cell phone company charges $3.00 to make a phone call plus $0.15 for each minute for each minute you talk. Which equation would you use to determine the total cost, c, of a phone call that is m number of minutes long?
a)
c = 3.00 - 0.15m
b)
c = 0.15 + 3.00m
c)
3.00 = c + 0.15
d)
c = 3.00 + 0.15m
29.
Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. How many months has Jim been a member of the gym?
a)
50 + 20m = 290
b)
20 + 50m = 290
c)
50 + 20 = m
d)
50m - 20 = 290
30.
The space club is having some posters printed. The printer charges $250 plus $2 per poster. How can I figure out how many posters I could print for $1,000?
a)
250x + 2 = 1000
b)
1000 + 2x = 250
c)
250 - 2x = 1000
d)
2x + 250 = 1000
31.
While at the music store, Drew bought 5 CDs, all at the same price. The tax on his purchase was $6, and the total was $61. What was the price of each CD?
a)
5x + 6 = 61
b)
x/5 + 6 = 61
c)
5/x + 6 = 61
d)
x + 5 + 6 = 61
32.
Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.
a)
7x + 35 = 63
b)
7x = 63
c)
7x + 63 = 35
d)
35x + 7 = 63
33.
Harris Publications is having some books printed. The printer charges $800 plus $5 per book. What equation could help me find how many books can be printed for $4,000?
a)
800 + 5x = 4000
b)
800x + 5 = 4000
c)
4000 + 5x= 800
d)
800 + 5 = 4000
e)
4000 = 800 + 5
34.
Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation to find out how many hours, h, they rented the Boat if the total cost was $33.
a)
h = 2(9) + 15
b)
33 = 15h + 2
c)
h = 15(9) + 2
d)
33 = 2h + 15
35.
12 + 5 is
a)
a numerical expression
b)
an algebraic expression
36.
12a - 8
a)
verbal
b)
numerical
c)
algebraic
37.
fifteen minus twice a number
a)
verbal
b)
numerical
c)
algebraic
38.
127(15 + 2)
a)
verbal
b)
numerical
c)
algebraic
39.
Which operation would you do first in the following equation?
10 - 4 ÷ 1 · 5
10 - 4 ÷ 1 · 5
a)
Subtraction
b)
Division
c)
Multiplication
d)
Addition
40.
Evaluate the equation:
(10+5) -6
(10+5) -6
a)
9
b)
10
c)
11
d)
12
41.
Which operation would you do first?
2 · (15 - 2) ÷ 5
2 · (15 - 2) ÷ 5
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
42.
(10 + 33 - 3) ÷ 8
a)
13
b)
3
c)
5
d)
11
43.
(9 + 39) ÷ (11 - 5) =
a)
17
b)
14
c)
9
d)
8
44.
What step would I do second ?
(4-2) x 9 + 7 =
(4-2) x 9 + 7 =
a)
multiplication
b)
subtraction
c)
addition
d)
dividing
45.
(7 + 41) ÷ 2 – 15 =
a)
19
b)
9
c)
25
d)
3
46.
10 + 45 ÷ 9 -(14 ÷ 2) =
a)
9
b)
8
c)
53
d)
18
47.
(9 + 23) ÷ (5 - 3) =
a)
16
b)
32
c)
15
d)
12
48.
The word "of" represents what operation?
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
49.
Which of the following is not a word that means "equals"?
a)
Is
b)
Gives
c)
Totals
d)
Shared
50.
Eight less than three times a number is best represented by:
a)
3(x-8)
b)
3x - 8
c)
8 - 3x
51.
Write an algebraic expression for:
three times a number plus 16
three times a number plus 16
a)
3(16)+n
b)
16n+3
c)
3n+16
52.
Write an algebraic expression for:
35 decreased by a number
35 decreased by a number
a)
35+n
b)
35-n
c)
n-35
53.
Write a verbal expression for:
4q
4q
a)
Four q
b)
Four times q
c)
Four plus q
54.
Write a verbal expression for:
2a+6
2a+6
a)
6 more than the product of 2 times a
b)
6 less than the product of 2 times a
c)
6 more than the quotient of 2 and a
55.
Toya received 8 presents for her birthday. She is going to give some to the children’s hospital.
a)
8 + n
b)
8n
c)
8-n
d)
8/n
56.
Mr. Zamora has a lot of Bulldog Bucks. He will give an equal amount to each of his 8 groups.
a)
8 + n
b)
8n
c)
8-n
d)
8/n
57.
A number increased by five
a)
5n
b)
n + 5
c)
5 - n
d)
5/n
58.
The product of four and a number
a)
4n
b)
4 + n
c)
4 - n
d)
4/n
59.
There are 8 groups in Mr Zamora’s class. He will give each group n Bulldog Bucks.
a)
8 + n
b)
8n
c)
8-n
d)
8/n
60.
A number increased by 2
a)
2n
b)
2 + n
c)
2 - n
d)
2/n
61.
Shara read n books. Jack has read 8 more books than Shara.
a)
8 + n
b)
8n
c)
8-n
d)
8/n
62.
The sum of a number and ten
a)
10n
b)
n + 10
c)
n - 10
d)
10/n
63.
4 multiplied by the sum of 7 and y makes 16.
a)
7 + 4y = 16
b)
4(7) +y = 16
c)
4y−7 = 16
d)
4(7+y) = 16
64.
(12 ÷ 2) + (15 ÷ 3) + 10
a)
21
b)
15
c)
11
d)
8
65.
27 − 9 ÷ 3 ⋅ (4 ⋅ 1)
a)
18
b)
24
c)
15
d)
25
66.
(6 ÷ 3) ⋅ 4 + 8
a)
16
b)
20
c)
24
d)
32
67.
What operation would you perform first:
24 ÷ ( 4 + 2) - 1 ⋅ 10
a)
4 + 2
b)
1 ⋅ 10
c)
24 ÷ 4
d)
2 − 1
68.
What operation would you perform first:
8 ⋅ 9 + (84 ÷ 12) - 15
a)
84 ÷ 12
b)
8 ⋅ 9
c)
9 + 84
d)
15 - 12
69.
4 - 1 + 5 ⋅ 22
a)
23
b)
16
c)
32
d)
-7
70.
(4 + 3) ⋅ 23
a)
56
b)
28
c)
54
d)
45
71.
What step would I do second?
(4 - 2) ⋅ 9 + 7
a)
multiplication
b)
subtraction
c)
addition
d)
dividing
72.
5 ⋅ (7 - 2) + (8 + 1)
a)
70
b)
77
c)
42
d)
34
73.
True or false:
Addition ALWAYS comes before subtraction.
Addition ALWAYS comes before subtraction.
a)
True
b)
False
74.
Evaluate:
(32 - 23) ÷ 6
(32 - 23) ÷ 6
a)
9/6
b)
26/6
c)
4
d)
3
75.
Evaluate:
36 ÷ 32 + 5 ⋅ 6
36 ÷ 32 + 5 ⋅ 6
a)
35
b)
60
c)
34
d)
54
76.
Solve the following equation using GEMDAS.
a)
22
b)
3
c)
7
d)
13
77.
(50 ÷ 2) - 10 + 32 × 5
a)
60
b)
30
c)
45
d)
55
78.
92 + 19 - (3 × 8) + 14
a)
90
b)
27
c)
1
d)
62
79.
8 × 5 + (48 ÷ 23) - 2 × 3
a)
40
b)
42
c)
52
d)
58
80.
90 ÷ 3 + (10 -5) +72
a)
84
b)
34
c)
49
d)
39
81.
33 + (35 ÷ 5 +10) - 3 + 52
a)
66
b)
33
c)
48
d)
16
82.
(9 × 10) - (53 - 100) × 3 + 20
a)
35
b)
95
c)
1,495
d)
215
83.
3 × (4² - 5) - 6 + 8
a)
35
b)
11
c)
5
d)
19
84.
14 ÷ 2 × (2 + 1) - 5 + 3²
a)
25
b)
16
c)
12
d)
19
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