Solve Equation Worksheet

**Page 1**

1.

Find the value of n, if n + 7 = 17.

a. | 10 | ||

b. | 9 | ||

c. | 11 | ||

d. | 12 |

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 |

The model for the linear equation is

[One

[Isolate the variable.]

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

The value of

Correct answer : (4)

3.

Find the value of $y$ from the algebra tiles.

a. | 6 | ||

b. | 2 | ||

c. | 8 | ||

d. | 4 |

The linear equation for the model is

[Four -1 tiles represent -4 and two 1 tiles represent 2.]

[Add 4 on each side to isolate the variable

[Add 4 and 2 to get 6.]

So, the value of the variable

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 |

[Original Equation.]

Model the equation using algebra tiles.

[One

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

Isolate the variable tile.

The value of

[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 |

[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

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 |

[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

[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 |

[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

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 |

5 +

[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 |

The equation for the total number of fish caught by Dennis and his son is 4 +

[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

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

Correct answer : (1)

10.

Solve for $x$.

$\frac{x}{2}$ = 1

a. | 1 | ||

b. | 2 | ||

c. | $\frac{1}{2}$ |

[Original equation.]

[Multiply both sides with 2.]

[1 × 2 = 2.]

So the value of

Correct answer : (2)