PM Review — Simple Equations

Question 1 Difficulty 1

Solve for x: x + 3 = 10

A 6
B 7
C 8
D 9

💡 Explanation To solve x + 3 = 10, subtract 3 from both sides: x = 10 - 3, so 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 2 Difficulty 1

What is the value of x in the equation x - 4 = 5?

A 1
B 5
C 9
D 10

💡 Explanation To find x, add 4 to both sides: x = 5 + 4, so 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 3 Difficulty 1

Find x: 2x = 14

A 5
B 7
C 10
D 12

💡 Explanation Divide both sides by 2: x = 14 / 2, so 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 4 Difficulty 1

Solve x + 7 = 15.

A 5
B 6
C 7
D 8

💡 Explanation Subtract 7 from both sides: x = 15 - 7, so x = 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 5 Difficulty 1

What is the value of x in the equation 10 = x + 2?

A 6
B 7
C 8
D 9

💡 Explanation Subtract 2 from both sides: x = 10 - 2, so x = 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 6 Difficulty 1

Find the value of x in x - 6 = 4.

A 8
B 10
C 12
D 14

💡 Explanation Add 6 to both sides: x = 4 + 6, so 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 7 Difficulty 1

Solve for x: 3 + x = 9.

A 5
B 6
C 7
D 8

💡 Explanation Subtract 3 from both sides: x = 9 - 3, so 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 8 Difficulty 1

What is x if 5x = 25?

A 2
B 3
C 4
D 5

💡 Explanation Divide both sides by 5: 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 9 Difficulty 1

Solve x + 12 = 20.

A 6
B 7
C 8
D 9

💡 Explanation Subtract 12 from both sides: x = 20 - 12, so x = 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 10 Difficulty 1

Find the value of x in 8 = x - 1.

A 6
B 7
C 8
D 9

💡 Explanation Add 1 to both sides: x = 8 + 1, so 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 11 Difficulty 2

Solve for x: 2x + 3 = 11.

A 4
B 3
C 5
D 6

💡 Explanation Subtract 3 from both sides: 2x = 8, then divide by 2: 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 12 Difficulty 2

What is x in the equation 3x - 5 = 10?

A 4
B 5
C 6
D 7

💡 Explanation Add 5 to both sides: 3x = 15, then divide by 3: 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 13 Difficulty 2

Find x if 4(x + 2) = 32.

A 6
B 5
C 4
D 3

💡 Explanation Divide both sides by 4: x + 2 = 8, then subtract 2: 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 14 Difficulty 2

Solve for x: x/3 + 4 = 8.

A 9
B 10
C 12
D 15

💡 Explanation Subtract 4 from both sides: x/3 = 4, then multiply by 3: x = 12.

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

What is the value of x in 5x - 15 = 0?

A 1
B 3
C 5
D 6

💡 Explanation Add 15 to both sides: 5x = 15, then divide by 5: 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

Find x in the equation 7 + 2x = 23.

A 8
B 9
C 10
D 11

💡 Explanation Subtract 7 from both sides: 2x = 16, then divide by 2: x = 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 17 Difficulty 2

Solve x - 10 = 3x - 14.

A 2
B 3
C 4
D 5

💡 Explanation Add 10 to both sides: 4 = 2x - 14, then add 14: 18 = 2x, divide by 2: 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 18 Difficulty 2

What is the value of x if 6(x - 1) = 30?

A 5
B 6
C 7
D 8

💡 Explanation Divide both sides by 6: x - 1 = 5, then add 1: 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 19 Difficulty 2

Find x in 10 = 2x + 4.

A 2
B 3
C 4
D 5

💡 Explanation Subtract 4 from both sides: 6 = 2x, then divide by 2: 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 20 Difficulty 2

Solve for x in the equation 5 + 2x = 19.

A 6
B 7
C 8
D 9

💡 Explanation Subtract 5 from both sides: 2x = 14, then divide by 2: 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 for x: 3(x + 2) = 21.

A 5
B 6
C 7
D 8

💡 Explanation Divide by 3: x + 2 = 7, then subtract 2: 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 22 Difficulty 3

What is the value of x in 4x + 2 = 18?

A 4
B 3
C 2
D 5

💡 Explanation Subtract 2 from both sides: 4x = 16, then divide by 4: 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 23 Difficulty 3

Find x in 2(x - 3) + 4 = 10.

A 5
B 6
C 7
D 8

💡 Explanation Subtract 4: 2(x - 3) = 6, divide by 2: x - 3 = 3, add 3: 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 24 Difficulty 3

Solve for x: 5x - 3 = 2x + 6.

A 3
B 4
C 5
D 6

💡 Explanation Subtract 2x: 3x - 3 = 6, add 3: 3x = 9, divide by 3: 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 25 Difficulty 3

What is the value of x if 7 - 3x = 1?

A 1
B 2
C 3
D 4

💡 Explanation Subtract 7: -3x = -6, divide by -3: 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 26 Difficulty 3

Solve for x: 4x + 3 = 2(x + 5).

A 3
B 4
C 5
D 6

💡 Explanation Expand: 4x + 3 = 2x + 10, subtract 2x: 2x + 3 = 10, subtract 3: 2x = 7, divide by 2: 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

Find x in 6x - 5 = 3(x + 1).

A 1
B 2
C 3
D 4

💡 Explanation Expand: 6x - 5 = 3x + 3, subtract 3x: 3x - 5 = 3, add 5: 3x = 8, divide by 3: 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 28 Difficulty 3

Solve for x: 8 - 2(x + 3) = 0.

A 1
B 2
C 3
D 4

💡 Explanation Expand: 8 - 2x - 6 = 0, simplify: 2 - 2x = 0, add 2x: 2 = 2x, divide by 2: x = 1.

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 value of x if 10x + 5 = 35?

A 2
B 3
C 4
D 5

💡 Explanation Subtract 5: 10x = 30, then divide by 10: 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

Find x in 2(x + 4) = 3x - 2.

A 5
B 6
C 7
D 8

💡 Explanation Expand: 2x + 8 = 3x - 2, subtract 2x: 8 = x - 2, add 2: 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 31 Difficulty 4

Solve for x: 3(2x - 1) + 4 = 10.

A 2
B 3
C 4
D 5

💡 Explanation Expand: 6x - 3 + 4 = 10, simplify: 6x + 1 = 10, subtract 1: 6x = 9, divide by 6: 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 32 Difficulty 4

What is the value of x in 4(x - 2) = 2(3x + 1)?

A 2
B 3
C 4
D 5

💡 Explanation Expand: 4x - 8 = 6x + 2, add 8: 4x = 6x + 10, subtract 4x: -2x = 10, divide by -2: 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 33 Difficulty 4

Solve for x: 5 + 3(x - 1) = 2x + 7.

A 2
B 3
C 4
D 5

💡 Explanation Expand: 5 + 3x - 3 = 2x + 7, simplify: 3x + 2 = 2x + 7, subtract 2x: x + 2 = 7, subtract 2: 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 34 Difficulty 4

What is the value of x if 7(2x + 3) = 42?

A 2
B 3
C 4
D 5

💡 Explanation Divide by 7: 2x + 3 = 6, subtract 3: 2x = 3, divide by 2: 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 35 Difficulty 4

Find x in 6x - 2(3x - 4) = 10.

A 2
B 3
C 4
D 5

💡 Explanation Expand: 6x - 6x + 8 = 10, simplify: 8 = 10, which is not possible.

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

Solve for x: 4x + 1 = 3(2x - 1).

A 1
B 2
C 3
D 4

💡 Explanation Expand: 4x + 1 = 6x - 3, subtract 4x: 1 + 3 = 2x, add 2: 4 = 2x, divide by 2: 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 37 Difficulty 4

What is the value of x if 2(3x + 1) = 4x + 6?

A 2
B 3
C 4
D 5

💡 Explanation Expand: 6x + 2 = 4x + 6, subtract 4x: 2x + 2 = 6, subtract 2: 2x = 4, divide by 2: 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 38 Difficulty 4

Find x in 2(x + 3) + 4 = 3x - 2.

A 4
B 5
C 6
D 7

💡 Explanation Expand: 2x + 6 + 4 = 3x - 2, simplify: 2x + 10 = 3x - 2, subtract 2x: 10 = x - 2, add 2: x = 12.

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

What is the value of x if 9x - 4 = 2(3x + 5)?

A 2
B 3
C 4
D 5

💡 Explanation Expand: 9x - 4 = 6x + 10, subtract 6x: 3x - 4 = 10, add 4: 3x = 14, divide by 3: x = 14/3.

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 40 Difficulty 4

Solve for x: 10 = 5 + 2(x - 2).

A 5
B 6
C 7
D 8

💡 Explanation Subtract 5: 5 = 2(x - 2), divide by 2: 5/2 = x - 2, add 2: x = 5/2 + 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?