3.1 to 3.5 Practice

Three times the difference of x and y equals

five times the sum of y and 2x.

Three times x less than y is five times y plus

two times x.

Three times x minus y is five times the sum

of y and two times x.

The sum of three times x and y is five times

y plus two times x.

Translate the following equation into a verbal sentence.

3x - y = 5(y + 2x)

A number is added to 9. The result is then

multiplied by 4 to give a new result of 120. What is

the number?

Translate the following sentence into an equation.

Twice a number m minus three equals the

sum of m and five.

2m -3 = m+5

2(m-3) = m +5

2m - 3 = 5m

2(m-3) = 5m

The product of x and five is the sum of

two times seven and x.

The quotient of x and five is two times

seven plus x.

Translate the following equation into a verbal

sentence.

x+5 =2(7+x)

The number x plus five is two times

seven plus x.

The number x plus five is two times the

sum of seven and x.

Solve

 

7 - x = -7
Solve.
-3
8

X

=
-24

Translate the following sentence into an equation.

 

The sum of twice a number x and 13 is two less

than three times x.

2x+13=3x-2

2(x + 13) = 3x - 2

2x + 13 =3(x - 2)

2x + 13 =2 - 3x

Solve

 

j-(-17) = 37

  
2x+6
8
=5
4x-7=29
8x+4=6(x-2)
3(x-9)=-27
8(x+3)-6x=52
3x+8=5x-14
-4
5
x+7=39
-x-13=-21
7x-5x=-42
3(x-8)+2=3x-19

The sum of 4 consecutive integers is 882.  What

is the smallest integer?

The length of a rectangle is 5 more than 3 times

 the width.  The perimeter is 26. Find the length

of the rectangle.

The width of a rectangle is 7 less than the length.

The perimeter is 46.  Find the width of the rectangle.

The sum of 3 consecutive odd integers is 51.  What

is the largest of the integers?

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