📝 PM Review: Simple Equations

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Question 1 Difficulty 1
Draw a number line from -5 to 5.
  • A Draw a number line from -10 to 10
  • B Draw a number line from -5 to 5
  • C Draw a vertical line
  • D Draw a line with no labels
💡 Explanation You need to draw a horizontal number line labeled from -5 to 5.
Question 2 Difficulty 1
Draw a number line from -3 to 3.
  • A Draw a number line from -3 to 3
  • B Draw a number line from -5 to 5
  • C Draw a line without numbers
  • D Draw a number line from 0 to 5
💡 Explanation The task is to create a number line labeled from -3 to 3.
Question 3 Difficulty 1
Draw a number line and mark the point 0.
  • A Mark 0 on a vertical line
  • B Mark 0 on a horizontal line
  • C Draw a number line and mark 0
  • D No need to mark 0
💡 Explanation You should draw the number line and clearly mark the point 0 in the center.
Question 4 Difficulty 1
Draw a number line and label the integers from -5 to 5.
  • A Label only positive integers
  • B Label integers from -5 to 5
  • C Label only negative integers
  • D No labeling needed
💡 Explanation The correct action is to label the entire range of integers from -5 to 5 on a number line.
Question 5 Difficulty 1
Draw a number line and place the point 3 on it.
  • A Place 3 at the end
  • B Place 3 between -5 and 5
  • C Do not place any points
  • D Place 3 at -3
💡 Explanation You should place the point 3 accurately between 0 and 5 on the number line.
Question 6 Difficulty 1
Draw a number line and mark the point -2.
  • A Mark -2 beyond -5
  • B Mark -2 between -5 and 0
  • C Mark -2 at 2
  • D No marking needed
💡 Explanation The point -2 should be marked between -5 and 0 on the number line.
Question 7 Difficulty 1
Draw a number line and label the point 5.
  • A Label 5 at -5
  • B Label 5 at 0
  • C Label 5 at the end
  • D Do not label 5
💡 Explanation You should label the point 5 at the right end of the number line.
Question 8 Difficulty 1
Draw a number line and place points for -1 and 1.
  • A Place only -1
  • B Place points for -1 and 1
  • C Place points for 0 only
  • D Do not place any points
💡 Explanation Both points -1 and 1 should be placed correctly on the number line.
Question 9 Difficulty 1
Draw a number line and mark the point -4.
  • A Mark -4 at 4
  • B Mark -4 between -5 and -3
  • C Mark -4 at -5
  • D Do not mark -4
💡 Explanation The point -4 should be correctly marked between -5 and -3 on the number line.
Question 10 Difficulty 1
Draw a number line and place the points -5, 0, and 5.
  • A Place only -5
  • B Place 0 and 5 only
  • C Place points for -5, 0, and 5
  • D Do not place any points
💡 Explanation All three points -5, 0, and 5 should be placed on the number line.
Question 11 Difficulty 2
Draw a number line from -5 to 5 and solve for x in the equation x + 2 = 5.
  • A x = 7
  • B x = 3
  • C x = 5
  • D x = 2
💡 Explanation On the number line, you would move back 2 spaces from 5 to find x = 3.
Question 12 Difficulty 2
Draw a number line from -5 to 5 and solve for x in the equation x - 1 = 4.
  • A x = 3
  • B x = 5
  • C x = 6
  • D x = 4
💡 Explanation Moving forward 1 space from 4 on the number line tells us x = 5.
Question 13 Difficulty 2
Draw a number line from -5 to 5 and solve for x in the equation x + 3 = 0.
  • A x = -3
  • B x = 3
  • C x = 0
  • D x = -5
💡 Explanation Moving back 3 spaces from 0 gives us x = -3.
Question 14 Difficulty 2
Draw a number line from -5 to 5 and solve for x in the equation x - 3 = 2.
  • A x = 3
  • B x = 5
  • C x = 1
  • D x = 6
💡 Explanation Moving forward 3 spaces from 2 leads to x = 5.
Question 15 Difficulty 2
Draw a number line from -5 to 5 and solve for x in the equation x + 4 = 5.
  • A x = 1
  • B x = 4
  • C x = 0
  • D x = -1
💡 Explanation Moving back 4 spaces from 5 shows that x = 1.
Question 16 Difficulty 2
Draw a number line from -5 to 5 and solve for x in the equation x + 1 = -2.
  • A x = -1
  • B x = -3
  • C x = -4
  • D x = 2
💡 Explanation Moving back 1 space from -2 gives x = -3.
Question 17 Difficulty 2
Draw a number line from -5 to 5 and solve for x in the equation x - 2 = 1.
  • A x = 3
  • B x = -1
  • C x = 1
  • D x = 2
💡 Explanation Moving forward 2 spaces from 1 leads to x = 3.
Question 18 Difficulty 2
Draw a number line from -5 to 5 and solve for x in the equation x + 5 = 0.
  • A x = -5
  • B x = 5
  • C x = 0
  • D x = -2
💡 Explanation Moving back 5 spaces from 0 gives x = -5.
Question 19 Difficulty 2
Draw a number line from -5 to 5 and solve for x in the equation x - 4 = 1.
  • A x = 5
  • B x = 6
  • C x = 0
  • D x = 4
💡 Explanation Moving forward 4 spaces from 1 gives x = 5.
Question 20 Difficulty 2
Draw a number line from -5 to 5 and solve for x in the equation x + 2 = 3.
  • A x = 1
  • B x = 2
  • C x = 4
  • D x = 3
💡 Explanation Moving back 2 spaces from 3 yields x = 1.
Question 21 Difficulty 3
Solve for x in the equation x + 3 = 6, then verify by drawing a number line.
  • A x = 2
  • B x = 4
  • C x = 3
  • D x = 1
💡 Explanation x = 6 - 3 gives x = 3. Verify by marking point 3 on the number line.
Question 22 Difficulty 3
Solve for x in the equation x - 2 = 5, then verify by drawing a number line.
  • A x = 7
  • B x = 3
  • C x = 4
  • D x = 5
💡 Explanation x = 5 + 2 gives x = 7. Verify by marking point 7 on the number line.
Question 23 Difficulty 3
Solve for x in the equation x + 4 = 9, then verify by drawing a number line.
  • A x = 5
  • B x = 4
  • C x = 3
  • D x = 8
💡 Explanation x = 9 - 4 gives x = 5. Verify by marking point 5 on the number line.
Question 24 Difficulty 3
Solve for x in the equation x - 5 = 3, then verify by drawing a number line.
  • A x = 8
  • B x = 6
  • C x = 3
  • D x = 2
💡 Explanation x = 3 + 5 gives x = 8. Verify by marking point 8 on the number line.
Question 25 Difficulty 3
Solve for x in the equation x + 1 = -2, then verify by drawing a number line.
  • A x = -1
  • B x = -3
  • C x = -2
  • D x = 0
💡 Explanation x = -2 - 1 gives x = -3. Verify by marking point -3 on the number line.
Question 26 Difficulty 3
Solve for x in the equation x - 4 = 2, then verify by drawing a number line.
  • A x = 6
  • B x = 4
  • C x = 2
  • D x = 0
💡 Explanation x = 2 + 4 gives x = 6. Verify by marking point 6 on the number line.
Question 27 Difficulty 3
Solve for x in the equation x + 5 = 10, then verify by drawing a number line.
  • A x = 5
  • B x = 15
  • C x = 10
  • D x = 0
💡 Explanation x = 10 - 5 gives x = 5. Verify by marking point 5 on the number line.
Question 28 Difficulty 3
Solve for x in the equation x - 3 = 4, then verify by drawing a number line.
  • A x = 8
  • B x = 7
  • C x = 1
  • D x = 4
💡 Explanation x = 4 + 3 gives x = 7. Verify by marking point 7 on the number line.
Question 29 Difficulty 3
Solve for x in the equation x + 2 = 2, then verify by drawing a number line.
  • A x = 0
  • B x = 2
  • C x = -2
  • D x = 1
💡 Explanation x = 2 - 2 gives x = 0. Verify by marking point 0 on the number line.
Question 30 Difficulty 3
Solve for x in the equation x - 1 = -4, then verify by drawing a number line.
  • A x = -3
  • B x = -5
  • C x = -2
  • D x = -1
💡 Explanation x = -4 + 1 gives x = -3. Verify by marking point -3 on the number line.
Question 31 Difficulty 4
Solve the equation 3x - 2 = 7 and verify by drawing a number line.
  • A x = 3
  • B x = 4
  • C x = 5
  • D x = 2
💡 Explanation 3x = 7 + 2, so x = 9/3 = 3. Verify by marking point 3 on the number line.
Question 32 Difficulty 4
Solve the equation 2x + 3 = 11 and verify by drawing a number line.
  • A x = 4
  • B x = 5
  • C x = 6
  • D x = 3
💡 Explanation 2x = 11 - 3, so x = 8/2 = 4. Verify by marking point 4 on the number line.
Question 33 Difficulty 4
Solve the equation 5x - 5 = 20 and verify by drawing a number line.
  • A x = 4
  • B x = 5
  • C x = 6
  • D x = 3
💡 Explanation 5x = 20 + 5, so x = 25/5 = 5. Verify by marking point 5 on the number line.
Question 34 Difficulty 4
Solve the equation 7x + 2 = 23 and verify by drawing a number line.
  • A x = 2
  • B x = 3
  • C x = 4
  • D x = 5
💡 Explanation 7x = 23 - 2, so x = 21/7 = 3. Verify by marking point 3 on the number line.
Question 35 Difficulty 4
Solve the equation 4x - 1 = 15 and verify by drawing a number line.
  • A x = 4
  • B x = 5
  • C x = 6
  • D x = 3
💡 Explanation 4x = 15 + 1, so x = 16/4 = 4. Verify by marking point 4 on the number line.
Question 36 Difficulty 4
Solve the equation 6x + 3 = 21 and verify by drawing a number line.
  • A x = 3
  • B x = 2
  • C x = 4
  • D x = 5
💡 Explanation 6x = 21 - 3, so x = 18/6 = 3. Verify by marking point 3 on the number line.
Question 37 Difficulty 4
Solve the equation 8x - 4 = 20 and verify by drawing a number line.
  • A x = 2
  • B x = 3
  • C x = 4
  • D x = 5
💡 Explanation 8x = 20 + 4, so x = 24/8 = 3. Verify by marking point 3 on the number line.
Question 38 Difficulty 4
Solve the equation 9x + 1 = 28 and verify by drawing a number line.
  • A x = 3
  • B x = 4
  • C x = 5
  • D x = 2
💡 Explanation 9x = 28 - 1, so x = 27/9 = 3. Verify by marking point 3 on the number line.
Question 39 Difficulty 4
Solve the equation 10x - 5 = 15 and verify by drawing a number line.
  • A x = 2
  • B x = 3
  • C x = 4
  • D x = 5
💡 Explanation 10x = 15 + 5, so x = 20/10 = 2. Verify by marking point 2 on the number line.
Question 40 Difficulty 4
Solve the equation 11x + 2 = 44 and verify by drawing a number line.
  • A x = 4
  • B x = 5
  • C x = 6
  • D x = 3
💡 Explanation 11x = 44 - 2, so x = 42/11 = 4. Verify by marking point 4 on the number line.
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