Name________________________ Class____________________ Date _____________________
7th Grade
Mid Term
Study Guide
Comprehension checklist
Topic Problem Numbers
o Square roots
1-6
o Cube roots
o Pythagorean Theorem 7-10
o Solving for variables
o Two step equations
o Variables on both sides
o Distributive property 11-20
o Negative numbers
o writing equations for word
problems
o volume of shapes 21-30
o congruent angles
31-34
o congruent triangles
Name________________________ Class____________________ Date _____________________
Find the square or cube root of each number. Include all of the answers.
𝟐 𝟐 𝟑
1. √𝟑𝟔 2. √𝟏𝟔 3. √𝟖
𝟐 𝟑 𝟑
4. √𝟖𝟏 5. √𝟔𝟒 6. √𝟏𝟐𝟓
Find the length of the missing side of each triangle using the Pythagorean Theorem.
7.
7 in
4 in
3 in
6 in
8.
9.
8 in
6 in
Name________________________ Class____________________ Date _____________________
10.
8 in
12 in
Solve the following equations.
11. 𝟓𝒙 − 𝟒 = 𝟑𝟏 12. 𝟑𝒎 + 𝟕 = 𝟐𝟎
13. 𝟗𝒇 + 𝟐𝟔 = 𝟑𝒇 14. 𝟑𝒈 = 𝟔𝟒 − 𝟓𝒈
15. 𝟑(𝒅 − 𝟓) = 𝟐𝟖 16. 𝟖 + 𝟒(𝒔 + 𝟓) = 𝟏𝟒
17. 𝟐(𝒚 − 𝟕) = 𝟒𝒚 18. 𝟏𝟓 − 𝟑𝒓 = 𝟐𝒓
Name________________________ Class____________________ Date _____________________
Write an equation and solve the following word problem.
19. Samantha bought 6 packs of gum. She spent a total of $6.36. How much did each pack of gum
cost?
20. Philip bought three pairs of socks and a shirt that cost $5.25. He spent a total of $15.00. How
much did each pair of socks cost?
Name________________________ Class____________________ Date _____________________
Write the formula for the volume of each shape.
21.
22.
23.
Find the volume of the following shapes
24.
25.
Name________________________ Class____________________ Date _____________________
26.
27.
28.
29.
Answer the following word problem
30. Stephanie is making a cake. First she makes a cylinder with the radius of 8 cm and that is 3 cm
tall. She then takes out of the center a cylinder that has a radius of 4 cm. What is the volume of
the cake once she is finished?
Name________________________ Class____________________ Date _____________________
Find the measurement of the angles, if m 8 = 123. Give the reason why.
________________
31. m 1 = __________
m 2 = __________ ________________
m 3 = __________ ________________
m 4 = __________ _________________
m 5 = __________ ________________
m 6 = __________ _________________
Write a congruence statement that determines that the following triangles are congruent.
32.
33.
34.