Download Algebra I

Algebra I
Review Assignment
1.
Multiply: 14.13 x 21.6
2. Multiply: 914.23 x 0.0132
3. Divide 42 by 0.009
4. Round 91.648573 to the nearest ten thousandth
5. 276 divided by x equals 12. Solve for x
6. Find the greatest common factor: GCF(50,75)
7. Reduce to lowest terms: 36
72
8. Reduce to lowest terms: 738
882
9. The Ramirez Restaurant has 5282 taco shells. If each “family meal” holds 12
tacos, how many complete family meals can be sold?
10. Write as a fraction reduced to lowest terms: .85
11. Write as a decimal number. Round to two places: 19
25
12. What number is 3/5 of 100?
13. Eloise drove 636.57 miles in the first day. Elvira drove 3 times as far on the
second day. On the third day, Naomi drove twice as far as Eloise drove. What
was the total distance driven by the three women?
14. Find the least common multiple of 22, 121 and 200.
15. Write 6750 as a product of prime numbers using exponents.
16. Simplify 4 x 8 – 8 x 2
17. Simplify 6 x 7 + 6 – 2 x 9
18. Heidi could travel 64 feet in 8 seconds. What was her rate in feet per second and
what was her rate in seconds per feet?
19. Simplify: 6[16 – (10 – 4) x 2] – 11 x 2
20. There were 3 times as many castles as there were kings. There were 7 times as
many princesses as kings. If there were 12 kings, what is the number of kings,
castles and princesses
21. Jimmy bought 80 small trees and paid $3520. Write the two rates (ratios) implied
by this statement. What would he have to pay for just 10 small trees at the same
rate?
22. Susan ran 12 miles in 2 hours. Then she ran 36 miles in 3 hours. By how much
did her rate increase?
23. Simplify (-3)(-3)(-2)4.
24. Express with an algebraic phrase:
a. The opposite of one eighth of a number.
b. Seven times the sum of a number and one.
c. The sum of three tenths of a number and one.
d. Four less than a number.
25. Simplify by adding like terms: -x + 3y – 2x + y + 4 + 5x -1
26. Does it make sense to divide 15 by zero? Why or why not?
27. Write each of these products as a sum or a difference:
a. 4(a + 8)
b. (c – d)c
28. If possible, express each of the following as a power of the number given:
a. 100,000 as a power of 10
b. 14,641 as a power of 11
c. 5 as a power of 1
29. Max and Minnie are taking a test. If there are x questions and Max answers 20
of them correctly, write an expression for the number he got wrong. If Minnie’s
score is 2 more than the average score, y, write an expression for the number she
got right.
30. Do you think the 20th power of 7 is odd or even? Why?
31. Reduce to lowest terms: 24
64
32. Reduce to lowest terms: 132
77
33. Find product and write in lowest terms: 6 x 2
11
3
34. Find the difference and write in lowest terms: 4 - 1
15
5
35. If a triangle has sides of 5 ¼ ft., 7 ½ ft., and 10 1/8 ft., what is the perimeter of the
triangle?
36. Two sockets in a socket wrench set have measures of 9/16 in. and 3/8 in. What is
the difference between the two measures?
37. Write 1/8 as a decimal.
38. Convert 39% to a decimal.
39. It takes 2 3/8 yards of fabric to make a costume for a school play. How much
fabric would be needed for 7 costumes?
40. Tex’s favorite recipe for barbecue sauce calls for 2 1/3 cups of tomato sauce. The
recipe makes enough barbecue sauce to serve 7 people. How much tomato sauce
is needed for one serving?