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Total questions: 72

Worksheet time: 2hrs 26mins

Name
Class
Date
1.
the product of x and sixteen
a)
x + 16
b)
x - 16
c)
16x
d)
x/16
2.
Mike is 6 years younger than Iris. What expression can be used to find Mike’s age?
a)
6 + a
b)
6 - a
c)
a - 6
d)
6a
3.
Pat worked 4 hours on Monday and 3 hours on Friday.
If he earned the same hourly rate each day, which expression best represents the situation?
a)
7x
b)
4x + 3x
c)
4 + 3x
d)
3 + 4
4.
Six more than some number equals 52
a)
6 + x = 52
b)
6 + 52 = x
c)
6x = 52
d)
 6x + 52 =
5.
Rachel swims 3 laps each minute.  Write an equation to show the relationship between number of laps (n) and time (t).
a)
3n = t
b)
3 + n = t
c)
3t = n
d)
3 + t = n
6.
If d = 70t represents the distance, d, traveled over time, t, how far did you travel in 6.5 hours?
Which expression fits the situation?
a)
d = 70(6.5)
b)
d = 70 + 6.5
c)
6.5d = 70
d)
d = 365 miles
7.
Admission to a circus is $16 for adults and $8 for children. Choose the expression to find the cost of 3 adult tickets and some number of children's tickets.
a)
48 + 8x
b)
16x + 8y
c)
16x + 64
d)
16x + 8x
8.
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?
a)
.95x + 25
b)
.95 + x + 25
c)
.95 + 25x
9.
I open a saving account with $200 and plan to put $50 per month in the account.
Which expression represents this situation after x number of months?
a)
200 + 50x
b)
200x + 50
c)
200 + x + 50
10.
I went to the mall with $75 and bought a pair of shoes and a few candy bars for $1.25 each.  How much did I spend?
Write an expression for the situation.
a)
75 - x - 1.25y
b)
75 - x - 1.25
c)
75 + x + 1.25y
11.
7 less than 20.
a)
7+20
b)
20−7
c)
7−20
d)
20+7
12.
10 increased by 5.
a)
10+5
b)
10−5
c)
10×5
d)
10÷5
13.
The quotient of 28 and 4.
a)
4÷28
b)
28+4
c)
7×4
d)
28÷4
14.
M tripled is 18.
a)
2×m = 18
b)
2m = 18
c)
3×m = 18
d)
3÷ m = 18
15.
A third of x increased by 1 is the same as 7.
a)
⅗X +1 = 7
b)
3x+1 = 7
c)
⅓X +1 = 7
d)
7x+1 = 3
16.
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
17.

3(x + 5)

a)

the product of three and a number increased by 5

b)

three times a number plus five

c)

the product of three and a number increased by 5

d)

triple a number and five

18.
Translate: Six fewer than twice a number is four.
a)
6 - 2x = 4
b)
2x - 6 = 4
c)
x2 - 6 = 4
d)
6 - x2 = 4
19.
A gymnastics center charges a $60 registration fee and $15 per class. Olivia registers to take a class and pays a total of $210. Which equation can be used to determine how many classes Olivia signed up for?  
a)
60 - 15x = 210 
b)
15x - 60 = 210
c)
15x + 60 = 210 
d)
210 + 15x = 60 
20.

A ice cream cone cost $3 plus an additional $0.50 per scoop. James paid a total of $4.50, which equation below models this situation.

a)

3x + 0.50 = 4.50

b)

0.50x = 7.50

c)

0.50x + 3 = 4.50

d)

4.50 + 0.50x = 3

21.

What does the word product mean?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

22.

Translate this expression: three less than twice a number x

a)

3-2x

b)

3-2+x

c)

2+x-3

d)

2x-3

23.

Which one of these is a "switching phrase"?

a)

Less than

b)

Decreased by

c)

Less

d)

Minus

24.

What does the word sum mean?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

25.

Translate this expression: the quotient of a number and 2, plus 9

a)

2x+9\frac{2}{x}+9

b)

2x+92x+9

c)

x2+9x\cdot2+9

d)

x2+9\frac{x}{2}+9

26.

What does the word difference mean?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

27.

Translate: 5 less a number m is the sum of m and 7

a)

m5=m+7m-5=m+7

b)

5m=m+75-m=m+7

c)

m5=m7m-5=m-7

d)

5m=7m5-m=7m

28.

Translate: twice the difference of 8 and y

a)

16y16-y

b)

28y2\cdot8-y

c)

2(8y)2\left(8-y\right)

d)

2(y8)2\left(y-8\right)

29.

What does the word quotient mean?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

30.

Translate: 12 less than the product of b and 2

a)

12b212-\frac{b}{2}

b)

2b122b-12

c)

2+b122+b-12

d)

12b+212-b+2

31.

What does the phrase increased by mean?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

32.

Translate: 6 more than the quotient of a number and 3

a)

(x3)+6\left(x-3\right)+6

b)

6+3x6+3x

c)

6+3x6+\frac{3}{x}

d)

x3+6\frac{x}{3}+6

33.

What does the word is mean?

a)

Multiply

b)

Equals

c)

Fraction

d)

Divide

34.

Which statement could be used to describe this expression: 2(n9)2\left(n-9\right)  

a)

9 decreased by n times two

b)

two times the sum of a number and 9

c)

twice the difference of n and 9

d)

twice the difference of 9 and n

35.

Which statement(s) could be used to describe this equation: m+7=22m+7=22  

a)

the sum of m and 7 is 22

b)

a number increased by 7 is 22

c)

the product of a number and 7 is 22

d)

7 more than m is 22

36.
the product of x and sixteen
a)
x + 16
b)
x - 16
c)
16x
d)
x/16
37.
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.
a)
8 - 4m
b)
8m - 4
c)
8m + 4
d)
4m - 8
38.
Write a verbal expression for:
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
d)
twice the sum of a and 6
39.

Six more than some number is 52

a)

x + 6 = 52

b)

6 + 52 = x

c)

6x = 52

d)

6x + 52 =

40.
Which algebraic expression represents
 "six less than a number"?
a)
6/k
b)
k/6
c)
6 - k
d)
k - 6
41.
Ten decreased by four times a number.  
a)
10 - 4x
b)
4x - 10 
c)
10 - x
d)
10/4x
42.

Which matches the expression below?

x −9

a)

Nine more than a number.

b)

A number decreased by nine.

c)

Nine minus a number

d)

A number less than nine.

43.

Three less than twice a number

a)

2x-3

b)

3-2x

c)

3x-2

d)

2-3x

44.

The quotient of a 15 and a number is 1

a)

15 / g = 1

b)

g+ 1/15

c)

g / 15 = 1

d)

15g = 1 

45.

Half the difference of four and a number is twelve

a)

1/2 (4 - x) = 12

b)

1/2x - 4 = 12

c)

1/2 (4) - x = 12

d)

x / 2 - 4 = 12

46.

The square root of the product of 2 and a number

a)

2x\sqrt[]{2x}  

b)

x+2\sqrt[]{x+2}  

c)

(2x)2\left(2x\right)^2  

d)

(x+2)2\left(x+2\right)^2  

47.

The sum of five and a number, squared

a)

x + 5

b)

x2+5x^2+5  

c)

(5+x)2\left(5+x\right)^2  

d)

x+5\sqrt[]{x+5}  

48.

Triple the sum of a number and two is 15

a)

3n + 15 = 2

b)

3 (n + 2) = 15

c)

3n + 2 = 15

d)

15( n + 2) = 3

49.

A number squared, plus 5

a)

x+5\sqrt[]{x}+5  

b)

(5 + x)

c)

x+5\sqrt[]{x+5}  

d)

x2x^2  + 5

50.

The quotient of a number and seven is eight

a)

7 / n = 8

b)

n / 7 = 8

c)

7n = 8

d)

8n = 7

51.

The quotient of seven and a number is twelve

a)

7n = 12

b)

n/7 = 12

c)

7/n = 12

d)

12n = 7

52.

Half the difference of a number and five is 8

a)

1/2 (5 - x) = 8

b)

1/2 (x + 5) = 8

c)

1/2 (x - 5) = 8

d)

1/2x - 5 = 8

53.
5 less than the product of 7 and s
a)
7s - 5
b)
5 - 7 + s
c)
7(s - 5) 
d)
5 - 7s
54.
a number more than 12
a)
n + 12
b)
12n 
c)
12 + n 
d)
12 - n 
55.

The product of seven and j

a)

7j

b)

j+7

c)

j-7

d)

j7\frac{j}{7}

56.
Five times Mike's age, increased by nine
a)
5(x+9)
b)
9(5+x)
c)
9x+5
d)
5x+9
57.

the difference of 3 times a number and 7

a)

3 - 7n

b)

3n - 7

c)

3n + 7

d)

3÷7n3\div7n

58.
m plus the product of 6 and n 
a)
m + 6n
b)
m - 6 + n
c)
6m + n
d)
m + 6 + n 
59.
5 more than the product of 7 and s
a)
7s + 5
b)
5 - 7 + s
c)
7(s - 5) 
d)
5 - 7s
60.
the sum of 3 times a number and 7
a)
3 - 7n
b)
3n - 7
c)
3n + 7 
d)
3 / 7n
61.

The difference of a number and 8

a)

8 - n

b)

8n

c)

n - 8

d)

8 x n

62.

Three more than a number.

a)

x + n

b)

x + 3

c)

3 + x

d)

3n

63.

The quotient of a number and 15

a)

15 x n

b)

n + 15

c)

15 - n

d)

n15\frac{n}{15}

64.

The product of 12 and a number k

Select all correct expressions

a)

12 x k

b)

k - 12

c)

12k

d)

12(k)

65.

15 less than a number x

a)

15 - x

b)

x + 15

c)

15 + x

d)

x - 15

66.

A number d decreased by 9

a)

9 - d

b)

d - 9

c)

9d

d)

d - 8

67.

A number h increased by 12

a)

12h

b)

12 + h

c)

h - 12

d)

h + 12

68.

The sum of x and 15

a)

x + 15

b)

15x

c)

15 - x

d)

15÷x15\div x

69.

12 times the sum of a and b

a)

a + b - 12

b)

12 x a = b

c)

12(a+b)

d)

12 x a - b

70.
5 times a number, minus 8  
a)
5m - 8
b)
5(m + 8)
c)
8m + 5
d)
8(m + 5)
71.
46 less than a number
a)
46 - n
b)
n - 46
c)
46 + n
d)
n + 46
72.
The product of 6 and y..
a)
6 + y
b)
6y
c)
y - 6
d)
y / 6