Name:___________________________________
Translating into Equations
Directions: For each problem below, write and solve an equation.
1) A number increased by twelve is twenty-eight. What is the number?
2) A number decreased by seven is five. What is the number?
3) The product of a number and eight is thirty-two. What is the number?
4) The quotient of a number and three is nine. What is the number?
5) Nine less than the quotient of a number and two is fourteen. What is the number?
6) The sum of ten and five times a number is twenty-five. What is the number?
7) Six less than twice a number is thirty. What is the number?
8) Five more than a number tripled is twenty-three. What is the number?
9) Four less than a number doubled equals forty. What is the number?
10) The quotient of a number and seven, increased by three is two. What is the number?
11) Twice the quantity of the difference of a quadrupled number and eight is forty-eight. What is
the number?
12) The quotient of the quantity of a number tripled decreased by four and two is sixteen. What is
the number?
KEY
1) X+12=28 ; X = 16
5)
8) 3x + 5 = 23; x = 6
11) 2(4x – 8) = 48; x = 8
2) x – 7 = 5; x = 12
3) x*8 = 32; x = 4
6) 10 + 5x = 25; x = 3
9) 2x – 4 = 40; x = 22
12)
(
)
10)
= 16; x = 12
4) = 9; x = 27
7) 2x – 6 = 30; x = 18
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