Sample quiz on linear equation word problems
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1. When $1$ is subtracted from three times a certain number, the result is $11$. Find the number.
   
   $4$
   $5$
   $6$
   $7$
   
2. The result of dividing a number by $4$ is $7$. What is the number?
   
   $3$
   $11$
   $28$
   $35$
3. After subtracting $2$ from a number and then dividing the result by $5$, the result was $3$. Find the number.
   
   $4$
   $8$
   $17$
   $18$
4. A rectangle has a length of $(x+3)$ cm and a width of $5$ cm. If its area is $45$ cm$^{2}$, the value of $x$ is $\cdots$?
   
   $4$
   $5$
   $6$
   $7$
5. A car travels a distance of $(5x+10)$ km in $2$ hours. Its speed is $70$ km/h. What is the value of $x$?
   
   $30$
   $28$
   $27$
   $26$
6. John is $5$ years older than James. The sum of their ages is $27$. What is James' age?
   
   $11$
   $16$
   $15$
   $12$
7. Two-thirds of a number added to three-fifths of the same number equals $19$. Find the number.
   
   $24$
   $30$
   $15$
   $42$
8. The base of a triangle is $(x+4)$ cm long, while the triangle's height is $4$ cm. If the area is $28$ cm$^{2}$, $x=\cdots$?
   
   $3$
   $7$
   $9$
   $10$
9. Three-tenths of a number subtracted from one-fifth of the same number equals $-1$. What is the number?
   
   $5$
   $15$
   $10$
   $20$
10. When a number was subtracted from $1$, the result was $2$. Find the number.
    
    $3$
    $2$
    $-2$
    $-1$