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WorksheetsWrite Expressions, Equations and Inequalities from Verbal
Total questions: 40
Worksheet time: 55mins
Name
Class
Date
1.
Translate this phrase into an algebraic expression.
the quotient of 4 and a number increased by 10.
the quotient of 4 and a number increased by 10.
a)
4 - n + 10
b)
4n - 10
c)
4/(n + 10)
d)
4 / n + 10
2.
Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.
a)
8 - 4m
b)
8m - 4
c)
8m + 4
d)
4m - 8
3.
Translate this phrase into an algebraic expression.
2 times the difference of t and 11
2 times the difference of t and 11
a)
2t - 11
b)
2(t - 11)
c)
2(t / 11)
d)
2 x t - 11
4.
CHOOSE THE APPROPRIATE TERM TO DESCRIBE THE MATH SENTENCE.
5x + 3y
a)
EXPRESSION
b)
EQUATION
c)
INEQUALITY
5.
CHOOSE THE APPROPRIATE TERM TO DESCRIBE THE MATH SENTENCE.
19 + x = 4
a)
EXPRESSION
b)
EQUATION
c)
INEQUALITY
6.
CHOOSE THE APPROPRIATE TERM TO DESCRIBE THE MATH SENTENCE.
6g < 23
a)
EXPRESSION
b)
EQUATION
c)
INEQUALITY
7.
Identify the coefficient(s) in the expression 2x + 4 - x + 3x,
a)
4
b)
x
c)
2 and 3
d)
2, 4, and 3
8.
Identify the constants in the following expression 3 + 4x - 2x + 5?
a)
3 and 5
b)
4 and 2
c)
x because it is always x
d)
-2
9.
The quotient of a number and 3 is 9.
a)
3n=9
b)
n/3=9
c)
3+n=9
d)
9/n=3
10.
What is the difference between an expression and equation?
a)
Expressions have an equal sign and equations do not have an equal sign
b)
Expressions do not have an equal sign and equations do have an equal sign
c)
There is not a difference
d)
Expressions do not have variables and equations have variables
11.
Translate the sentence into an inequality.
Seven subtracted from n is greater than or equal to 18.
Seven subtracted from n is greater than or equal to 18.
a)
n - 7 > 18
b)
7 - n ≥ 18
c)
n - 7 ≥ 18
d)
n + 7 ≥ 18
12.
How many terms are in this expression?
3 + 7 - 4
3 + 7 - 4
a)
1
b)
2
c)
3
d)
6
13.
WRITE AN EQUATION
Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?
a)
24-10=7x
b)
7x- 24=10
c)
7x+ 10=24
d)
10+x=14
14.
Pheobe has $500 in a savings account at the beginning of the summer. She wants to have at least $200 in account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Write an inequality that represents Pheobe's situation.
a)
200+25w ≥ 500
b)
500-25w ≥ 200
c)
500+25w ≤ 200
d)
200-25w ≤ 500
15.
the quotient of 4 and a number increased by 10.
a)
4 - n + 10
b)
4n - 10
c)
4n + 10
d)
4 / n + 10
16.
Translate this sentence into an equation.
72 is the product of 8 and a Steve's age.
Use the variable h to represent Steve's age.
72 is the product of 8 and a Steve's age.
Use the variable h to represent Steve's age.
a)
72 = 8 + h
b)
72 = 8h
c)
72 = 8 - h
d)
72 = 8/h
17.
5 less than the product of 7 and s
a)
7s - 5
b)
5 - 7 + s
c)
7(s - 5)
d)
5 - 7s
18.
Which of the following expressions would need parenthesis?
a)
4 times the difference of a number and 8
b)
4 times a number
c)
Five times a number increased by 7
d)
15 less than a number multiplied by 12
19.
What could be solved using this number sentence?
18 + m = 45
18 + m = 45
a)
Josh bought 18 pencils every day for 45 days. If m represents the number of pencils, how many pencils does he have now?
b)
Josh had 18 pencils. If his friend gave him 45. If m represents the number of pencils, how many pencils does he have now?
c)
Josh had 18 pencils. He received some pencils for Halloween. Now Josh has 45 pencils. If m represents the number of pencils, how many pencils did Josh receive for Halloween?
d)
Josh bought the same number of pencils every day for 18 days. At the end of 18 days, Josh had 45 pencils. If m represents the number of pencils, how many pencils did Josh buy every day?
20.
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.
21.
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.
22.
An equation can be two expressions that equal one another.
a)
True
b)
False
23.
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
24.
Cheryl gets paid $8 per hour at her job at the record store. She made a total of $96 last week. Write a multiplication equation to show how many hours she worked last week.
a)
96h = 8
b)
h/96 = 8
c)
8h = 96
d)
h/8 = 96
25.
Joe earns $25 per yard he mows in the summer. If he also makes a one time amount of $100 for babysitting his brother, write an equation that can be used to determine the number of yards (y) he will need to mow to go to Italy for $3,100.
a)
25y - 100 = 3,100
b)
3,100 - 100 = 25y
c)
25y + 100 = 3,100
d)
100y + 25 = 3,100
26.
Edith earns $12 per hour cutting lawns in her neighborhood. Which inequality represents how many lawns she must cut to earn at least $96
a)
12x > 96
b)
x - 12 < 96
c)
12x ≥ 96
d)
x/12 ≤ 96
27.
Translate this phrase into an algebraic expression.
14 subtracted from the quantity 6 times k
14 subtracted from the quantity 6 times k
a)
6 - 14k
b)
6k - 14
c)
14k - 6
d)
14 - 6k
28.
It costs $25 to rent a car each day and $0.95 per mile.
Which expression represents the cost of the rental for one day?
Which expression represents the cost of the rental for one day?
a)
.95x + 25
b)
.95 + x + 25
c)
.95 + 25x
29.
Translate this phrase into an algebraic expression.
The quotient of four and a number increased by ten.
The quotient of four and a number increased by ten.
a)
4 - n + 10
b)
4n - 10
c)
4/(n + 10)
d)
4 / n + 10
30.
Which algebraic expression represents
"six less than a number"?
"six less than a number"?
a)
6/k
b)
k/6
c)
6 - k
d)
k - 6
31.
Cupcakes and cookie-pops are being decorated and it takes 3 minutes to decorate each cupcake or cookie pop. They're 24 cupcakes and 16 cookie pops. How many more minutes will it take her to decorate the cupcakes than the cookie-pops?
a)
t= (24 x 3)- (16 x 3)
b)
t= [(24+16) x 3) ÷60
c)
t= (24 + 16) x 3
d)
t= 24 x 3
32.
Cupcakes and cookie-pops are being decorated and it takes 3 minutes to decorate each cupcake or cookie pop. They're 24 cupcakes and 16 cookie pops. What is the total number of minutes it will take to make the cookie-pops?
a)
t= 24 x 3
b)
t= 16 x 3
c)
t= (24 x 3)- (16 x 3)
d)
t= (24 + 16) x 3
33.
Cupcakes and cookie-pops are being decorated and it takes 3 minutes to decorate each cupcake or cookie pop. They're 24 cupcakes and 16 cookie pops. What is the total number of hours it will take to decorate all the cupcakes and cookie-pops?
a)
t= [(24+16) x 3) ÷60
b)
t= (24 x 3) + (16 x 3) x 60
c)
t= (24 + 16) x 3
d)
t= 24 x 3
34.
Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?
a)
50 + 20m = 290
b)
20 + 50m = 290
c)
50 + 20 = m
d)
50m - 20 = 290
35.
Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?
a)
50 + 20m = 290
b)
20 + 50m = 290
c)
50 + 20 = m
d)
50m - 20 = 290
36.
Which situation can be represented by the inequality
15 + 6x ≤ 100?
15 + 6x ≤ 100?
a)
Lazer
Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend,
how many people can Andrea invite to play laser tag?
b)
Lazer
Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend,
how many people can Andrea invite to play laser tag?
c)
Lazer
Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend,
how many people can Andrea invite to play laser tag?
d)
Lazer
Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend,
how many people can Andrea invite to play laser tag?
37.
Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?
a)
5x + 10 ≥ 100
b)
5x - 100 ≥ 10
c)
10x + 5 ≤ 100
d)
5x + 10 > 100
38.
Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?
a)
200 + 25x ≥ 500
b)
500 + 25x ≥ 200
c)
500 - 25x ≥ 200
d)
500 - 25x ≤ 200
39.
Which word problem represents the inequality:
x + 32 ≥ 80
a)
Janine's goal is to earn at least $80 for soccer camp. She has earned $32 so far. How much more does she need to earn?
b)
Janine made more than 80 points during the basketball season. She made 32 points the first five games. How much did she score the rest of the games?
c)
Janine scored above an 80 on her math homework. But, she turned her work in late and was deducted 32 points. What did she make after the deduction?
40.
What is the operation of the following expression? x/5
a)
multiplication
b)
addition
c)
subtraction
d)
division
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