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Translating a sentence into an equation

Total questions: 16

Worksheet time: 11mins

Name
Class
Date
1.

Three times r less than 15 equals 6.

a)

3r -15 = 6

b)

15 - 3r = 6

2.

The sum of q and four times t is equal to 29.

a)

4t x q = 29

b)

qt x 4 =29

c)

q + 4t =29

3.

A number n is squared plus 12 is the same as the quotient of p and 4.

a)


n2 +12 =p4n^2\ +12\ =\frac{p}{4}

b)

2n + 12 =4p2n\ +\ 12\ =\frac{4}{p}

c)

n2 + 12=4pn^2\ +\ 12=\frac{4}{p}

4.

Half of j minus 5 is the sum of k and 13.

a)

1/2j - 5 = 13k

b)

1/2j - 5 = k + 13

c)

5 - 1/2j = k + 13

5.

The sum of 8 and three times k equal s the difference of 5 times k and 3.

a)

8 + k3 = 5 - 3k

b)

8 + 3k = 5 - 3k

c)

8 + 3k = 5k - 3

6.

Three fourths of w plus 5 is one half of w increased by nine.

a)

3/4w -5 = 1/2w x 9

b)

3/4w + 5 = 1/2w + 9

c)

3/4w x 5 = 1/2w + 9

7.

The quotient of 25 and t plus 6 is the same as twice t plus 1.

a)

25t + 6=2t +1\frac{25}{t}\ +\ 6=2t\ +1

b)

25t + 6 = 2t + 1

c)

25t +6=t2 +1\frac{25}{t}\ +6=t^2\ +1

8.

Thirty-two divided by y is equal to the product of three and y minus 4.

a)

32y = 3y4\frac{32}{y}\ =\ \frac{3}{y}-4

b)

y32 =3y4\frac{y}{32}\ =3y-4

c)

32y=3y 4\frac{32}{y}=3y\ -\ 4

9.

Sam has $1900 in the bank. He wishes to increase his account to a total of $2500 by depositing $30 per week from his paycheck. Write and solve an equation to find how many weeks he needs to reach his goal.

Let w stand for the number of weeks.

4 lines
10.

The density of an object is the quotient of its mass and is volume.

a)

dm=v\frac{d}{m}=v

b)

D=mvD=\frac{m}{v}

c)

D=vmD=\frac{v}{m}

11.

The sum means to

a)

subtract

b)

divide

c)

add

d)

multiply

12.

Quotient mean to

a)

divide

b)

multiple

c)

add

d)

subtract

13.

The product means to

a)

divide

b)

multiply

c)

add

d)

subtract

14.

The difference means to

a)

divide

b)

multiply

c)

add

d)

subtract

15.

To increase, means to

a)

divide

b)

mutliple

c)

add

d)

subtract

16.

Three times b less than 100 is equal to the product of 6 and b.

4 lines