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linear equation in one variable

Total questions: 15

Worksheet time: 19mins

Name
Class
Date
1.

In the expression i + 4, the letter i represents

a)

a number sentence

b)

an addition symbol

c)

an open sentence

d)

an unknown number

2.

Which expression has a variable?

a)

25/5

b)

2+3(5)

c)

6n-2

d)

4(8)/2

3.

If g = 3, which number sentence is true?

a)

5g=15

b)

15+g=5

c)

g/5=15

d)

g+5=15

4.

Kyle is paid $8.00 an hour, and last week, Kyle earned $160.00. What does the x represent in the equation 8x = 160?

a)

The number of days Kyle worked last week

b)

The number of hours Kyle worked last week

c)

The number of hours Kyle worked over the weekend

d)

The amount of money Kyle made

5.

Belle has 23 ornaments on her tree. She purchased more ornaments to have a total of 40 ornaments on her tree. Which equation would best be used to determine how many ornaments were purchased?

a)

40 +t = 23

b)

40 -23 = t

c)

23 +t = 40

d)

23 -t = 40

6.

Shruti had Rs 1200 in her piggy bank in the denominations of Rs 5 and Rs 2 coins only. The ratio of the number of Rs 5 coins to Rs 2 coins is 6:5. Find the total number of coins in her piggy bank. you have 15 min to solve.

a)

180

b)

330

c)

1200

d)

150

7.

A number consist of 2 digits whose sum is 5.If 9 is added to the number ,the digits are interchanged. Find the orignal number. You have 15 min to solve.

a)

32

b)

14

c)

41

d)

23

8.

A number is three times another number. If the second number is 'm', how will you represent the first number in terms of the second number?

a)

3m

b)

3 + m

c)

m/3

9.

The numerator of a fraction is 'x'. The denominator of the same fraction is 3 more than twice the numerator. How will we represent fraction?

a)

x / (2x + 3)

b)

x / (3x + 2)

c)

3x / x

10.
A rectangle has a perimeter of 70 feet. Its length is five more than twice its width. Which equation can be used to determine the width of the rectangle? 
a)
2x + 5 = 70 
b)
3x + 5 = 70 
c)
6x + 10 = 70 
d)
5x + 2 = 70
11.

The digit in the ten's place of a two digit number is 2 more than the digit in unit's place.Let the unit'splace digit is x.Then the number is

a)

11x+2

b)

2x+20

c)

11x+20

d)

10x+20

12.
Sandy is upgrading her internet service. Comcast charges $60 for installation and $50.45 per month of service. AT&T has free installation but charges $57.95 per month. How many months would I have to have cable for to pay the same amount with both companies? Identify the equation that models this situation.
a)
60x + 50.45 = 57.95
b)
60x + 50.45 = 57.95x
c)
60 + 50.45x = 57.95x
d)
60x + 50.45x = 57.95x
13.
A twelve inch candle and an 18 inch candle are lit at 6pm. The 12 inch candle burns 0.5 inches every hour. The 18 inch candle burns two inches every hour. At what time will the two candles be the same height? Identify the equation that models this situation.
a)
12 - 0.5x = 18 - 2x
b)
12 + 0.5x = 18 + 2x
c)
12x - 0.5 = 18x - 2
d)
12 - 6x = 18 - 2x 
14.
A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear.  They sell the teddy bears for $12 a piece.  Which equation could be used to find the number of bears t the company has to sell in one day to equal its daily cost?
a)
1500 + 8t = 12
b)
12 + 8t = 1500
c)
1500 + 8t = 12t
d)
8t = 12t + 1500
15.

Solve.

a)

81

b)

101

c)

110

d)

84