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Writing One-Step Equations (ADV)

Total questions: 20

Worksheet time: 35mins

Name
Class
Date
1.

Determine whether the given value is a solution of the equation.

   n13=4 ;  n=52\frac{n}{13}=4\ ;\ \ n=52  

a)

yes

b)

no

2.

Write an equation to represent the situation below:

Four friends have dinner and split the bill at the end of their meal.  If the total bill was $60, how much did each friend pay?

a)

604=x\frac{60}{4}=x  

b)

x4=60\frac{x}{4}=60  

c)

4x=604x=60  

d)

5x=605x=60  

3.

Determine whether the given value is a solution of the equation.

   17y=85 ;  y=517y=85\ ;\ \ y=5  

a)

yes

b)

no

4.

Write an equation to represent the situation below:

Laura and Mae participated in a quiz contest. They scored 23 points in all. If Laura scored 9 points, how many points did Mae score?

a)

x9=23\frac{x}{9}=23  

b)

x−9=23x-9=23  

c)

23−9=x23-9=x  

d)

x+9=23x+9=23  

5.

Determine whether the given value is a solution of the equation.

   21=m+9 ;  m=1121=m+9\ ;\ \ m=11  

a)

yes

b)

no

6.

Write an equation to represent the situation below:

Andy is half as old as his dad, who is 56 years old. Write an equation to find Andy’s age.

a)

x−12=56x-\frac{1}{2}=56  

b)

2x=562x=56  

c)

562=x\frac{56}{2}=x  

d)

x2=56\frac{x}{2}=56  

7.

Determine whether the given value is a solution of the equation.

   21−h=15 ;  h=621-h=15\ ;\ \ h=6  

a)

yes

b)

no

8.

Write an equation to represent the situation below:

Tyler’s grade dropped seven points this semester. Now his grade is a 75. Write an equation to determine what his grade was before it dropped.

a)

7x=757x=75  

b)

75−7=x75-7=x  

c)

x+7=75x+7=75  

d)

x−7=75x-7=75  

9.

Write an equation to represent the situation below:

Pedro bought 15 tickets to a basketball game. He paid a total of $195. Write an equation to find how much each ticket costs.

a)

15x=19515x=195  

b)

x15=195\frac{x}{15}=195  

c)

19515=x\frac{195}{15}=x  

d)

x+15=195x+15=195  

10.

Determine whether the given value is a solution of the equation.

   b−4=19 ;  b=15b-4=19\ ;\ \ b=15  

a)

yes

b)

no

11.

Determine whether the given value is a solution of the equation.

   5c=62 ;  c=135c=62\ ;\ \ c=13  

a)

yes

b)

no

12.

Write an equation to represent the situation below:

Each floor of a hotel room has x rooms. On 8 floors, there are a total of 256 rooms. Write an equation to find how many rooms are on each floor.

a)

8x=2568x=256  

b)

x8=256\frac{x}{8}=256  

c)

2568=x\frac{256}{8}=x  

d)

x+8=256x+8=256  

13.

Determine whether the given value is a solution of the equation.

   25=k5 ;  k=525=\frac{k}{5}\ ;\ \ k=5  

a)

yes

b)

no

14.

Write an equation to represent the situation below:

A sleeping bag weighs 22 lbs. Your backpack and sleeping bag together weigh 31 pounds. Write an equation to find the weight of each backpack.

a)

22x=3122x=31  

b)

x−22=31x-22=31  

c)

31−22=x31-22=x  

d)

x+22=31x+22=31  

15.

Determine whether the given value is a solution of the equation.

   5+x=47 ;  x=525+x=47\ ;\ \ x=52  

a)

yes

b)

no

16.

Write an equation to represent the situation below:

Mandy purchased cookies to share with her class for her birthday. She would like to give 2 cookies to each of her 13 classmates. Write an equation to determine how many cookies she should purchase.

a)

x2=13\frac{x}{2}=13  

b)

13(2)=x13\left(2\right)=x  

c)

2x=132x=13  

d)

13x=213x=2  

17.

Determine whether the given value is a solution of the equation.

   23=x−9 ;  x=1423=x-9\ ;\ \ x=14  

a)

yes

b)

no

18.

Write an equation to represent the situation below:

The high temperature last week was 92 degrees. This was 24 degrees higher than the overnight low temperature. Write an equation to find the low temperature.  

a)

x24=92\frac{x}{24}=92  

b)

24−x=9224-x=92  

c)

92−24=x92-24=x  

d)

x+24=92x+24=92  

19.

Determine whether the given value is a solution of the equation.

   2.5n=45 ;  n=182.5n=45\ ;\ \ n=18  

a)

yes

b)

no

20.

Write an equation to represent the situation below:

John was gifted a pack of crayons. He gave 13 crayons to his friend Rhea and was left with 11 crayons. Write an equation to find how many crayons were in each pack.

a)

13+11=x13+11=x  

b)

x+13=11x+13=11  

c)

x−13=11x-13=11  

d)

x11=13\frac{x}{11}=13