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Center 4

Total questions: 16

Worksheet time: 1hrs 28mins

Name
Class
Date
1.

Lucas, Emma, and Noah are on an adventure. They encounter a secret gate with a mathematical lock:
-15 - 4x = 52. What should be their first step to unlock the gate?

a)

Add 4 to the gate code

b)

Subtract 15 from the gate code

c)

Add 15 to the gate code

d)

Divide the gate code by 4

2.

Lucy, Emma, and Mia are playing a math game. Lucy comes up with the equation 7c - 9 = 35 and challenges Emma and Mia to solve it. What should they do to solve Lucy's equation? 

a)

Add 9 to both sides and divide both sides by 7

b)

Add 9 to both sides and multiply both sides by 7

c)

Subtract 9 from both sides then multiply both sides by 7

d)

Subtract 9 from both sides then divide both sides by 7

3.

Oliver, Emma, and Liam are on an adventure. They found a cryptic message that says:
'To unlock the secret, solve this: 4x + 9 = -7'. Can you assist them?

a)

6

b)

-4

c)

-16

d)

-20

4.

Oliver, Sophia, and Mia are on a quest for a hidden artifact. They stumbled upon a riddle that says:
4(y - 3) = 20. Can you assist them in deciphering this riddle to locate the artifact?

a)

8

b)

5

c)

7

d)

-5

5.

John, Sarah, and Emma are on a quest to find a hidden artifact. They stumbled upon a riddle that says '4x + 3 = 1'. What should be their initial step to solve this riddle?

a)

Adding 3 to each side

b)

Subtracting 3 from each side

c)

Multiplying by 4 on each side

d)

Dividing by 4 on each side

6.

Oliver, Liam, and Noah are on an adventure. They found a mysterious message that reads:
4(3x - 2) + 3 = 11.
Help them decipher this message to continue their adventure!

a)

1

b)

2

c)

3

d)

4

7.

Oliver, Emma, and Ava are on a quest for a hidden artifact. They stumbled upon a riddle that reads:
'To unlock the secret, solve this: 9y - 5y - 10 = 30'. Can you assist them in deciphering the riddle?

a)

10

b)

-10

c)

4.8

d)

5

8.

John, Mike, and Sarah are on an adventure. They encounter a magical gate with a mathematical lock:

-4x + 15 = 60

What should be their first step to unlock the gate and continue their adventure?

a)

Add 4 to both sides

b)

Subtract 15 from both sides

c)

Add 15 to both sides

d)

Divide 4 on both sides.

9.

Emma, Noah, and Olivia are on an adventure. They found a mysterious note that reads:
3(3y + 2) = -9(y + 8).
Can you help them solve this puzzle to continue their adventure?

a)

2.4

b)

7

c)

-7

d)

8.5

10.

John, Emma, and Noah are playing a math game. John throws a challenge:
3(b + 5) = 3b - 10 + 5b. Can you help Emma and Noah solve this equation?

a)

5

b)

-5

c)

-6

d)

6

11.

Oliver, Emma, and Mia are working on a complex equation. Can you assist them in determining the type of solution this equation possesses?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

12.

Emma, Olivia, and Ava are playing a number game. Emma poses a challenge for her friends:
'If 4y + 20 equals 4 times the sum of y and 5, what would be the result?'

a)

There is no solution

b)

y equals 20

c)

The equation has infinitely many solutions

13.

Sam, John, and Alex are playing a game of numbers. Sam proposes a challenge: 'If I have 4r oranges and I give 6 to John, I will have the same number of oranges as Alex who has 3r oranges. Can you figure out how many oranges does 'r' represent?'

a)

There is no possible solution

b)

There are infinitely many solutions

c)

r represents 6 oranges

14.

Oliver and Amelia are practicing their math skills. Oliver asks Amelia:
'Can you simplify this expression, Amelia? 4(2y+3)'

a)

8y+3

b)

8y+12

c)

6y+3

d)

6y+12

15.

Lucy, Oliver, and Mia are on an adventure. They encounter a cryptic gate with a puzzle that reads: 'If 7x - 9 = 35, what is the value of x?'. They consider the following steps to solve it: 

a)

Add 9 to both sides and divide both sides by 7

b)

Add 9 to both sides and multiply both sides by 7

c)

Subtract 9 from both sides then multiply both sides by 7

d)

Subtract 9 from both sides then divide both sides by 7

16.

Emma, Noah, and Olivia are on an adventure. They found a cryptic message that reads '5x - x + 3 = 18'. They believe 'x' represents the number of steps they need to take in a certain direction. Can you help them figure out how many steps they need to take?

a)

3

b)

5

c)

4

d)

-3