Solving Equations, Transformations, and Angles Review
Quiz
•
Mathematics
•
8th Grade
•
Practice Problem
•
Medium
+9
Standards-aligned
Amanda Siedlecky
Used 4+ times
FREE Resource
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29 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Answer explanation
To solve for x, subtract 2x from both sides: 3x - 2x + 5 = 9. This simplifies to x + 5 = 9. Next, subtract 5 from both sides: x = 4. Thus, the correct answer is x = 4.
Tags
NC.MA.NC.8.EE.7
2.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Which of the following systems of equations has no solution?
Tags
NC.MA.NC.8.EE.8
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
A triangle is dilated by a scale factor of 2. Which of the following statements is true?
The dilated triangle is congruent to the original.
The dilated triangle is similar to the original.
The dilated triangle is neither similar nor congruent to the original.
The dilated triangle is smaller than the original.
Answer explanation
The dilated triangle is similar to the original because dilation preserves the shape of the triangle while changing its size. A scale factor of 2 means the new triangle is larger, but both triangles have the same angles.
Tags
NC.MA.NC.8.G.4
4.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
If two parallel lines are cut by a transversal, which of the following angle pairs are congruent?
Corresponding angles
Alternate interior angles
Alternate exterior angles
All of the above
Answer explanation
When two parallel lines are cut by a transversal, corresponding angles, alternate interior angles, and alternate exterior angles are all congruent. Therefore, the correct answer is 'All of the above'.
Tags
NC.MA.NC.8.G.5
5.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Which transformation changes the size of a figure?
Dilation
Rotation
Reflection
Translation
Answer explanation
Dilation changes the size of a figure by scaling it up or down, while rotation, reflection, and translation maintain the figure's size and shape. Therefore, the correct answer is Dilation.
Tags
NC.MA.NC.8.G.2
6.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Answer explanation
To find the solution, set the equations equal: 2x + 1 = -x + 4. Solving gives x = 1. Substituting x back into either equation, y = 2(1) + 1 = 3. Thus, the solution is (1, 3).
Tags
NC.MA.NC.8.EE.8
7.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Which sequence of transformations will show that two figures are similar?
Translation followed by rotation
Rotation followed by dilation
Reflection followed by translation
Dilation followed by reflection
Answer explanation
The correct choice, 'Rotation followed by dilation', shows similarity because rotation preserves shape and size, while dilation changes size but maintains the shape. Together, they confirm that the figures are similar.
Tags
NC.MA.NC.8.G.4
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