Forming linear equations from word problems

After paying for a salad, Sam had AED48 left. Create an equation to calculate the amount he paid for the salad if he originally had AED75.

•  $x=48-75$  

•  $x-75=48$  

•  $x-48=75$  

•  $x+48=75$  

At a restaurant, Sumer and his three friends decided to divide the bill evenly. Create an equation to calculate the total bill If each person paid AED41.

• $x=41\left(3\right)$

• $x=41\left(4\right)$

• $x+3=41$

• $x+4=41$

Tuleen had AED50 to spend. After buying 10 pencils, she had AED30 left. Create an equation to calculate the price she paid for one pencil.

• $30x+10=50$

• $10x+30=50$

• $\frac{10}{x}+30=50$

• $\frac{30}{x}+10=50$

Manya bought a book for AED40 and five non-erasable pens. She spent a total of AED75. Create an equation to calculate the price she paid for one pen.

•  $40x+5=75$  

•  $40+5=75x$  

•  $\frac{40}{5}+x=75$  

•  $5x+40=75$  

331 students went on a field trip. Six buses were filled and seven students were transported by car. Create an equation to calculate the number of students on each bus.

•  $7x+6=331$  

•  $6x+7x=331$  

•  $6x+7=331$  

•  $7x-6=331$  

Tags

CCSS.HSA.CED.A.3

Ahmed collected boxes to use when relocating. He bought seven boxes more to add to his collection. A week later half of all the boxes were destroyed in a fire. There are now only 22 boxes left. Create an equation to calculate the number of boxes he originally had.

•  $7-x+\frac{1}{2}\left(7-x\right)=22$  

•  $x+7-\frac{1}{2}\left(x+7\right)=22$  

•  $x+7-\frac{1}{2}x=22$  

•  $7-x+\frac{1}{2}x=22$  

Jill sold a quarter of her comic books and then bought sixteen more. She now has 28. Create an equation to calculate the number of books she originally had.

• $\frac{3}{4}x+16=28$

• $\frac{1}{4}x+16=28$

• $\left(x-\frac{1}{4}\right)+16=28$

• $\left(x-\frac{3}{4}\right)+16=28$

Tags

CCSS.HSA.CED.A.3

On Tuesday Reemas bought five hats. On Wednesday half of all the hats that she had were destroyed. On Thursday there were only 17 left. How many did she have on Monday?

• $5-\frac{1}{2}\left(5\right)=x-17$

• $x+5-\frac{1}{2}x=17$

• $x+5-\frac{1}{2}\left(x+5\right)=17$

• $x+5-\frac{1}{2}=17$