Name ________________________________
Period _____
Date_____________
Math 7H
Math 7H Final Review #4
1. Complete the table by writing equivalent expressions by distributing and factoring.
**BE SURE TO HAVE ONLY ONE SIGN BETWEEN TERMS.
Factored Form
Expanded (Distributed) Form
a. 2
+ 5
b. − 9 + 6
c.
5 − 30
d.
36 − 4
2. Simplify each expression:
a. 4 − 12 − 53 − 8
3. Solve the following:
a. 43 = 12 − 11
c. 13 + 7 − 14 − 8
b. 12 − 2
− + 10 − 15
b. −
e. 2
3– 6 = 7– 2
+ 28 = 40
c.12 = 6 −
f. 6 − 10 + 8 = 4 − 6 − 10
d. 3
3 − ℎ = −3
13 − ℎ
g. 14
+ 1 − 18 = 4 + 6
− 5
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Name ________________________________
Period _____
Date_____________
Math 7H
4. Solve and Graph:
**Remember to reverse the inequality when multiplying or dividing by a negative number**
a. −20 6 + 2
b. −3 − 12 11
5. Tell which equation is linear, then give a brief explanation as to how you determined your
answer.
a. = − + 1
b. =
c. = 3 − 2
d. =
6. Give the slope and y-intercept.
A)
m = _______
b = _______
B) y = 3x − 2
C) y = −
x
−3
2
m = _______
b = _______
m = _______
b = _______
7. Give the slope and y-intercept of each equation then graph them on the set of axes below.
4
A) y = − x + 5 m = _______
3
b = _______
B) y =
x
−6
2
m = _______
b = _______
C) If the equations from A and B created a system,
what would be the solutions to the system they
created?
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Name ________________________________
Period _____
Date_____________
Math 7H
8. What is the diameter and radius of the
circle whose circumference is 25!"?
9. If the area of a circle is 64!#2, what is
the radius and diameter of the circle?
10. What is the area of the circle whose
circumference is 16!"?
11. If the area of a circle is 81!#2, what is
the circumference of the circle?
12. Mrs. Green wrote some numbers on the whiteboard and asked her class to classify each number
as rational and irrational.
1
0.131351357 … , √144, , 0.375, −4, 11, √50
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a) Which of the numbers are rational numbers? Explain.
b) Which of the numbers are irrational numbers? Explain.
13. a) List the first 16 perfect squares and their square roots.
b) List the first 11 perfect cubes and their cube roots.
14. Find which two integers each root lies between. Then give the closest Integer.
a) √37
b) −√200
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