PM Review — Simple Equations

Question 1 Difficulty 1

What is a simple equation?

A An equation with only numbers
B An equation that has variables
C An equation with no solution
D An equation that cannot be solved

💡 Explanation A simple equation includes variables like x and can be solved to find the value of those variables.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 2 Difficulty 1

In the equation 2x + 3 = 11, what is the first step to isolate x?

A Add 3 to both sides
B Subtract 3 from both sides
C Multiply both sides by 2
D Divide both sides by 2

💡 Explanation To isolate x, we first need to subtract 3 from both sides, resulting in 2x = 8.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 3 Difficulty 1

If x + 5 = 10, what is the value of x?

A 15
B 5
C 10
D 0

💡 Explanation Subtracting 5 from both sides gives us x = 10 - 5, so x = 5.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 4 Difficulty 1

What does it mean to balance an equation?

A Make both sides equal
B Change one side only
C Ignore one side
D Add numbers randomly

💡 Explanation Balancing an equation means ensuring both sides have the same value.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 5 Difficulty 1

In the equation 3x = 12, what is the value of x?

A 3
B 4
C 5
D 6

💡 Explanation Dividing both sides by 3 gives x = 12 / 3, so x = 4.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 6 Difficulty 1

Which of the following is a variable?

A 5
B x
C 10
D 15

💡 Explanation A variable is a symbol that represents an unknown value, such as x.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 7 Difficulty 1

If 4 + y = 9, what is y?

A 2
B 5
C 3
D 4

💡 Explanation Subtracting 4 from both sides gives y = 9 - 4, so y = 5.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 8 Difficulty 1

What is the first step in solving the equation x - 7 = 3?

A Add 7 to both sides
B Subtract 3 from both sides
C Multiply both sides by 7
D Divide both sides by 3

💡 Explanation To isolate x, we add 7 to both sides to get x = 3 + 7.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 9 Difficulty 1

In the equation 5x = 25, what is x?

A 10
B 5
C 20
D 25

💡 Explanation Dividing both sides by 5 gives x = 25 / 5, so x = 5.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 10 Difficulty 1

If 2 + x = 4, what is x?

A 1
B 2
C 3
D 4

💡 Explanation Subtracting 2 from both sides gives x = 4 - 2, so x = 2.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 11 Difficulty 2

Solve for x: 6x - 4 = 26.

A 5
B 6
C 4
D 3

💡 Explanation Adding 4 to both sides gives 6x = 30, then dividing by 6 gives x = 5.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 12 Difficulty 2

If 3(x + 2) = 15, what is the value of x?

A 3
B 1
C 5
D 4

💡 Explanation Dividing both sides by 3 gives x + 2 = 5; subtracting 2 gives x = 3.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 13 Difficulty 2

What is the solution to 10 - 2x = 4?

A 3
B 2
C 5
D 4

💡 Explanation Subtracting 10 from both sides gives -2x = -6; dividing by -2 gives x = 3.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 14 Difficulty 2

If 5x + 3 = 18, what is x?

A 5
B 6
C 3
D 4

💡 Explanation Subtracting 3 from both sides gives 5x = 15; dividing by 5 gives x = 3.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 15 Difficulty 2

For the equation 4x - 2 = 10, what is the value of x?

A 2.5
B 3
C 4
D 5

💡 Explanation Adding 2 to both sides gives 4x = 12; dividing by 4 gives x = 3.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 16 Difficulty 2

What is the solution for the equation 2(3x - 1) = 10?

A 2
B 3
C 1
D 4

💡 Explanation Dividing both sides by 2 gives 3x - 1 = 5; adding 1 gives 3x = 6; dividing by 3 gives x = 2.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 17 Difficulty 2

If 8 - x = 3, what is x?

A 6
B 5
C 4
D 3

💡 Explanation Subtracting 3 from both sides gives 8 - 3 = x, so x = 5.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 18 Difficulty 2

What is the solution to the equation 7x + 2 = 30?

A 4
B 5
C 6
D 3

💡 Explanation Subtracting 2 from both sides gives 7x = 28; dividing by 7 gives x = 4.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 19 Difficulty 2

If 2x + 10 = 20, what is the value of x?

A 5
B 10
C 15
D 0

💡 Explanation Subtracting 10 from both sides gives 2x = 10; dividing by 2 gives x = 5.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 20 Difficulty 2

What is the solution for x in the equation 5 + 3x = 26?

A 7
B 8
C 6
D 9

💡 Explanation Subtracting 5 from both sides gives 3x = 21; dividing by 3 gives x = 7.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 21 Difficulty 3

Solve the equation 2x + 4 = 18.

A 7
B 8
C 6
D 5

💡 Explanation Subtracting 4 from both sides gives 2x = 14; dividing by 2 gives x = 7.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 22 Difficulty 3

What is the solution to 3(x - 4) = 9?

A 7
B 6
C 5
D 8

💡 Explanation Dividing both sides by 3 gives x - 4 = 3; adding 4 gives x = 7.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 23 Difficulty 3

In the equation 6x + 9 = 33, what is x?

A 4
B 5
C 6
D 3

💡 Explanation Subtracting 9 from both sides gives 6x = 24; dividing by 6 gives x = 4.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 24 Difficulty 3

For the equation 5(x + 1) = 30, what is the value of x?

A 6
B 5
C 4
D 3

💡 Explanation Dividing by 5 gives x + 1 = 6; subtracting 1 gives x = 5.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 25 Difficulty 3

If 4x - 3 = 13, what is x?

A 4
B 3
C 5
D 6

💡 Explanation Adding 3 to both sides gives 4x = 16; dividing by 4 gives x = 4.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 26 Difficulty 3

What is the solution for 7x - 2 = 19?

A 3
B 4
C 5
D 6

💡 Explanation Adding 2 to both sides gives 7x = 21; dividing by 7 gives x = 3.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 27 Difficulty 3

Solve the equation 9 - 2x = 1.

A 4
B 3
C 5
D 6

💡 Explanation Subtracting 9 from both sides gives -2x = -8; dividing by -2 gives x = 4.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 28 Difficulty 3

If 8x + 4 = 36, what is x?

A 3
B 4
C 5
D 6

💡 Explanation Subtracting 4 from both sides gives 8x = 32; dividing by 8 gives x = 4.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 29 Difficulty 3

What is the solution for the equation 12 - 4x = 0?

A 2
B 3
C 4
D 5

💡 Explanation Subtracting 12 from both sides gives -4x = -12; dividing by -4 gives x = 3.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 30 Difficulty 3

If 2(5x + 3) = 34, what is the value of x?

A 4
B 3
C 2
D 1

💡 Explanation Dividing both sides by 2 gives 5x + 3 = 17; subtracting 3 gives 5x = 14; dividing by 5 gives x = 4.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 31 Difficulty 4

Solve for x: 3(2x - 4) + 9 = 21.

A 6
B 4
C 3
D 5

💡 Explanation Expanding gives 6x - 12 + 9 = 21; simplifying gives 6x - 3 = 21; 6x = 24; x = 4.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 32 Difficulty 4

What is the solution to 4x + 5 - 3x = 12?

A 5
B 6
C 4
D 3

💡 Explanation Combining like terms gives x + 5 = 12; subtracting 5 gives x = 7.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 33 Difficulty 4

If 5(2x + 1) = 35, what is the value of x?

A 5
B 6
C 4
D 3

💡 Explanation Dividing both sides by 5 gives 2x + 1 = 7; subtracting 1 gives 2x = 6; dividing by 2 gives x = 3.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 34 Difficulty 4

Solve for x in the equation 7x - 2(3x + 1) = 4.

A 4
B 3
C 2
D 5

💡 Explanation Expanding gives 7x - 6x - 2 = 4; simplifying gives x - 2 = 4; x = 6.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 35 Difficulty 4

What is the solution for x in the equation 2x/3 + 4 = 10?

A 8
B 6
C 7
D 5

💡 Explanation Subtracting 4 gives 2x/3 = 6; multiplying both sides by 3 gives 2x = 18; dividing by 2 gives x = 9.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 36 Difficulty 4

If 4(x - 3) + 2 = 18, what is the value of x?

A 3
B 4
C 6
D 5

💡 Explanation Subtracting 2 gives 4(x - 3) = 16; dividing by 4 gives x - 3 = 4; adding 3 gives x = 7.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 37 Difficulty 4

What is the solution for the equation 5x + 2(3 - x) = 14?

A 4
B 6
C 5
D 7

💡 Explanation Expanding gives 5x + 6 - 2x = 14; simplifying gives 3x + 6 = 14; subtracting 6 gives 3x = 8; dividing by 3 gives x = 8/3.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 38 Difficulty 4

Solve for x: 6x + 2 = 2x + 18.

A 4
B 5
C 3
D 6

💡 Explanation Subtracting 2x from both sides gives 4x + 2 = 18; subtracting 2 gives 4x = 16; dividing by 4 gives x = 4.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 39 Difficulty 4

If 3(x + 2) = 2(x + 8), what is x?

A 6
B 7
C 5
D 4

💡 Explanation Expanding gives 3x + 6 = 2x + 16; subtracting 2x gives x + 6 = 16; subtracting 6 gives x = 10.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 40 Difficulty 4

What is the solution of the equation 8 - 2(3x - 4) = 0?

A 4
B 3
C 2
D 1

💡 Explanation Expanding gives 8 - 6x + 8 = 0; simplifying gives -6x + 16 = 0; x = 16/6 = 8/3.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?