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Pre-Algebra Midterm Additions

  1. Simplify the following expressions:
a. 3 ( 5 + 2 ) 4 + ( – 4 ) =
b. 4 + ( – 4 ) 3 ( 5 + 2 ) =
c. 3 ( 2 ) – 6 5 ( 1 – 2 ) =
d. 4 ( 2 – 3 ) 5 ( 2 ) – 10 =

2. Identify the following as Prime or composite numbers:

a. 31

b. 121

c. 51

d. 81

e. 231

3. Factor the composite numbers from number 2. a, b, c, d, & e above: (e.g., 24 = 2 x 2 x 2 x 3 or 2鲁 x 3)

4. Identify the components of this expression by filling in the blank:

72 + 6x + y3 – 45

a.
is the base in the equation

b.
is a coefficient

c.
is squared

d.
is an exponent

e.
is a variable in the equation

f.
is cubed

5. Convert the following to mixed fractions:

a. 25 3
b. 46 7
c. 159 14

6. Convert the following to improper fractions:

a. 5 2 3
b. 4 6 7
c. 10 9 4

7. Which are successfully divisible: (yes/no)

a. divisible by 2?

123,456

371,115

654,321

b. divisible by 3?

123,456

371,115

654,321

c. divisible by 4?

123,456

371,115

654,321

d. divisible by 9?

123,456

371,115

654,321

e. divisible by 5?

123,456

371,115

654,321

f. divisible by 6?

123,456

371,115

654,321

Answers

  1. a. undefined聽聽聽 b. 0 聽聽聽c. 0 聽聽聽d. undefined
  2. a. prime聽聽聽 b. composite聽聽聽 c. composite聽聽聽 d. composite聽聽聽 e. composite
  3. i. 121=11 x 11 or 11虏聽聽聽ii. 81=3 x 3 x 3 x 3 or 34聽聽聽iii. 231=3 x 7 x 11聽聽聽 iv. 51=3 x 17
  4. a. bases: 7, y and 4聽聽聽聽 b. coefficients: 6 and 1聽聽聽 c. 7聽聽聽 d. 2, 3, and 5聽聽聽 e. x or y聽聽聽 f. y聽
  5. a. \( 8 \frac{1}{3} \)聽 b. \( 6 \frac{4}{7} \)聽 c. \( 11 \frac{5}{14} \)
  6. a. \(聽 \frac{17}{3} \)聽 b. \(聽 \frac{34}{7} \) c. \(聽 \frac{49}{4} \)
  7. 聽a. yes, no, no聽
    b. yes, yes, yes聽
    c. yes, no, no聽
    d. no, yes, no聽
    e. no, yes, no聽
    f. yes, no, no