Download Mr. Michael T. Davis

Mr. Michael T. Davis
Algebra I - 99310
Review - Chapter 1
September 1, 2011
Name:
1. Simplify 40  10  10
2. Simplify 28  7  2
3. Simplify 1  2  6  6  12  3
4. Simplify 4  2  3  7 
5. Simplify 32  2  42
6. Simplify 45  19
7. Simplify 4  12  6
b gb gbg
8. Simplify 2q 3m 7t
9. State whether the statement is true or false: 2  3  7  1 
10. Evaluate
23
7 1
4x  2 y
for x  20 & y  5
5y  x
11. Evaluate x  y  xy  x  y for x  20 & y  5
12. Solve the equation y  3  y  y  8  0 given y 0,1, 2, 3, 4, 5 .
13. Solve the equation y 2  5 y  4  0 given the replacement set 0,1, 2, 3, 4, 5 .
14. Solve x  5
15. Solve x  3
16. Simplify 1  7  2
17. Translate the following phrases into algebraic expressions:
a. Twice the difference of a number and seven.
b. One less than one-half of a number.
c. Eleven decreased by the product of three and a number.
d. The quotient of fifty-six and the sum of eight and twenty.
18. Translate the following algebraic expressions into English phrases:
a.
12  8 1
b.
3 x7
c.
5
d.
1
17  6
3
b g
x
3
19. Translate the following sentences into equations:
a.
Eight is three times the difference of fourteen and a number.
b.
Eleven less than twice a number is seven more than the number.
c.
The sum of a number and three is equal to the quotient of 5 and the number.
20. Write an equation but do not solve: The ninth grade class has 17 more girls than
boys. There are 431 students in all.
21. Write an equation but do not solve: The height of a tower is three times the height of a
monument. If the tower is 50 meters taller than the monument, how tall is the tower?
22. Write an equation but do not solve: The length of a rectangle is 3.5 times its width.
Its perimeter is 108 cm. Find the length and width.