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Solve Equation Worksheet

Solve Equation Worksheet
  • Page 1
 1.  
Find the value of n, if n + 7 = 17.
a.
10
b.
9
c.
11
d.
12


Solution:

n + 7 = 17

n = 17 - 7 = 10


Correct answer : (1)
 2.  
Find the value of y in the equation y + 2 = 4 by using algebra tiles.
a.
7
b.
3
c.
6
d.
2


Solution:


The model for the linear equation is
[One y-tile and two 1-tiles on the left side and four 1-tiles on the right side.]


[Isolate the variable.]


[Remove two 1-tiles from both sides to show the value of y.]

The value of y is 2.


Correct answer : (4)
 3.  
Find the value of y from the algebra tiles.


a.
6
b.
2
c.
8
d.
4


Solution:

In the model, the left hand side contains one variable y-tile and four -1 tiles, the right hand side has two +1 tiles.

The linear equation for the model is y - 4 = 2
[Four -1 tiles represent -4 and two 1 tiles represent 2.]

y - 4 + 4 = 2 + 4
[Add 4 on each side to isolate the variable y.]

y = 6
[Add 4 and 2 to get 6.]

So, the value of the variable y is 6.


Correct answer : (1)
 4.  
Find the value of y in the equation y - 3 = 4 using the algebra tiles.
a.
4
b.
7
c.
6
d.
3


Solution:

y - 3 = 4
[Original Equation.]


Model the equation using algebra tiles.
[One y-tile and three -1-tiles on left side and four +1-tiles on right side.]


[Add three 1-tiles on both sides, to make zero pairs to isolate the variable tile.]


Isolate the variable tile.

The value of y is 7.
[Seven 1-tiles represent +7.]


Correct answer : (2)
 5.  
Find the value of y in the equation y - 3 = - 7 by using the algebra tiles.
a.
-5
b.
-6
c.
-4
d.
-9


Solution:


[Model the equation in the form of algebra tiles.]


[Isolate the common constant tiles from both sides.]


[Remove isolated tiles from both sides.]

The value of y = -4.


Correct answer : (3)
 6.  
Find the value of y in the equation y + 2 = 2, by using algebra tiles.
a.
4
b.
6
c.
1


Solution:


[Model the equation in the form of algebra tiles.]


[Add two negative tiles on both sides.]


[Remove the zero pairs on both sides.]

The value of y is 0.
[No tiles on the right side represent 0.]


Correct answer : (3)
 7.  
Two packets of rice together weigh 5 kg. If one packet weighs 2 kg, then what is the weight of the other packet? Solve using algebra tiles.
a.
3 kg
b.
2 kg
c.
5 kg
d.
9 kg


Solution:

Let y be the weight of the other packet.

y + 2 = 5
[Write the algebraic equation for the total weight of the two packets.]


Represent the equation in the form of algebra tiles.
[One variable tile and two 1-tiles on the left side and five 1-tiles on the right side.]


[Isolate the variable tile by subtracting two 1-tiles on each side.]


[Remove the grouped 1-tiles to show the value of y.]

So, the weight of the other packet is 3 kg.
[Three 1-tiles represent 3 kg.]


Correct answer : (1)
 8.  
Find the height of Rebecca using algebra tiles, if the total height of Rebecca and Nancy is 11 feet and the height of Nancy is 5 feet.
a.
6 feet
b.
7 feet
c.
4 feet
d.
8 feet


Solution:

Let y be the height of Rebecca.

5 + y = 11
[Write the algebraic equation for the total height of Rebecca and Nancy.]


Represent the equation in the form of algebra tiles.
[One variable tile and five 1-tiles on the left side and eleven 1-tiles on the right side.]


[Isolate the variable tile by subtracting five 1-tiles from each side.]


[Remove the grouped 1-tiles to show the value of variable.]

So, the height of Rebecca is 6 feet.


Correct answer : (1)
 9.  
Dennis and his son caught 6 fish. If Dennis caught 4 fish, then how many fish did his son catch? Solve using algebra tiles.
a.
2
b.
3
c.
6
d.
4


Solution:

Let y be the number of fish caught by Dennis's son.

The equation for the total number of fish caught by Dennis and his son is 4 + y = 6
[Write the linear equation.]


Represent the equation in the form of algebra tiles.
[One variable tile and four 1-tiles on left side and six 1-tiles on the right side.]


[Make a group of four 1-tiles on each side to isolate the variable tile.]


[Remove the grouped 1-tiles on both sides to show the value of variable y.]

The number of fish caught by Dennis's son is 2.


Correct answer : (1)
 10.  
Solve for x.
x2 = 1
a.
1
b.
2
c.
1 2


Solution:

x2 = 1
[Original equation.]

x = 1 × 2
[Multiply both sides with 2.]

x = 2
[1 × 2 = 2.]

So the value of x is 2.


Correct answer : (2)

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