Name ________________________________________________ Date _______________________ Pd __________
7th Grade Math Term 3 Practice Test Chapter 7, 8, 9, & 10
1. Solve 8x  5  37 and verify your solution.
2. Solve 8(3x  4)  4x  2.
3. Solve 3x  7  5. Then, graph the solution on a number line.
Solve each equation and verify your solution.
4.
6.
5. 3x  21  30
7. Kim looked at the following two lines. She concluded that line m is longer than line n. Is she correct? Explain
your answer.
8. Find the missing angle of the following triangles.
10.
9.
____ 11. Which graph represents the solution to the inequality 3x  5   11?
a.
c.
b.
d.
____ 12. Which is a solution of the equation 8x  9  41?
a. x  4
b. x  4
c. x  6.25
d. x  6.25
____ 13. Which inverse operations would you use to solve the equation
?
a. Add 8 to each side and then divide each side by 5. b. Add 8 to each side and then multiply each side by
5. c. Subtract 8 from each side and then multiply each side by 5. d. Multiply each side by 5 and then add
8 to each side.
____ 14. Which graph represents the solution to 2  3x  1?
a.
b.
c.
d.
____ 15. Francesca bought a dress to wear to a wedding. The sales tax for the dress is 6. She also paid $35, which
was not taxed, to have the dress altered. If Francesca paid the store a total of $126.16, which equation can be
solved to determine the price of the dress?
a. d  1.06d  35  126.16
126.16
b. 1.06(d  35)  126.16
c. 0.06(d  35)  126.16
d. d  0.06d  35 
____ 16. Which is the solution to 7x  49?
a. x  7
b. x  7
d. x  7
c. x  – 7
____ 17. What is the solution of the equation 4x  12  48?
a. 9
b. 15
c. 144
d. 240
____ 18. Which is the solution to
a. x   12
b. x   12
?
c. x  7
____ 19. Line segment AB is perpendicular to
d. x  7
. Ray BD bisects
. What is
?
a. 22.5b. 45c. 67.5d. 90
____ 20. John measures an angle with a protractor. He aligned one side with the bottom of the protractor. The other
side passes through the mark that reads 135 and 45. The angle is obtuse. What is the measure of the angle?
a. 45b. 90c. 135d. 180
____ 21. Line segment AB has a length of 24 units. Point C is the midpoint of
What is the length of
?
a. 6 units
b. 12 units
____ 22. The measure of
c. 24 units
Point D is the midpoint of
d. 48 units
is 57. What is the measure of its complementary angle?
a. 33b. 90c. 123d. 180
____ 23. Angle A is congruent to
. Angle A measures 60. What is the measure of
a. 30b. 60c. 120d. 180
?
.
____ 24. The lengths of two sides of a triangle measure 9 feet and 21 feet. What is the smallest whole number value
that the third side could measure?
a. 9 feet
b. 12 feet
c. 13 feet
d. 30 feet
____ 25. What is the value of x?
a. 38b. 57c. 76d. 85
____ 26. The lengths of two sides of a triangle measure 8 feet and 14 feet. What is the largest whole number value that
the third side could measure?
a. 21 feet
b. 22 feet
c. 23 feet
d. 24 feet
____ 27. Which theorem states that the measure of the exterior angle of a triangle is equal to the sum of the measures
of the two remote interior angles of the triangle?
a. Triangle Sum Theorem
Inequality Theorem
b. Remote Interior Angle Theorem
c. Exterior Angle Theorem
____ 28. Figure WXYZ is congruent to figure ABCD. What pair of sides must be congruent?
a.
and
b.
and
c.
and
d.
and
____ 29. In the two triangles shown,
.
Which congruency statement describes the relationship between the two triangles?
a.
b.
c.
d.
d. Exterior
____ 30. What can you conclude about
ACD using the Exterior Angle Inequality Theorem?
a. the measure of ACD is less than 121b. the measure of ACD is greater than 121c. the measure of
ACD is less than the sum of 121 and 17d. the measure of ACD is greater than the sum of 121 and 17
Determine whether it is possible to form a triangle using the set of segments with the given measurements.
Explain your reasoning.
31. 6 in., 8.9 in., 13.7 in.
32. 15 m, 4 m, 10.9 m
You are given the length of two sides of a triangle. What can you conclude about the length of the third side?
33. 21 in., 12 in.
34. 106 mm, 153 mm
Determine whether it is possible to form a triangle using the set of segments with the given measurements.
Explain your reasoning.
35. 7 in., 8.7 in., 15.4 in.
36. 12 m, 5 m, 18.9 m