I.M. Math Chapter 3 Review

Properties & the Language of Algebra

1

State the property being illustrated by the following:

7 + 4 = 4 + 7

Commutative Property

2

State the property being illustrated by the following:

3(8 - 5) = 3(8) - 3(5)

Distributive Property

3

Values in algebraic expressions that are fixed (do not change)

Constants

4

Identify the italicized portion of the following algebraic expression:

3x²y³

Numerical Coefficient

5

A group of factors containing a combination of constants and variables

Variable Term

Operations with Signed Numbers

1

-6 + 2 = ______

-4

2

7 - (-5) = _________

12

3

3 x -12 = _________

-36

4

-45 / -9 = ________

5

5

6 + (-8) - 3 + 5 - (-9) = ________

9

Sequences

1

Write the next term in the sequence:

4, 8, 12, 16, ...

20

2

Write the next term in the sequence:

17, 8, -1, -10, ...

-19

3

Write the next term in the sequence:

2, 8, 32, 128, ...

512

4

Write the next term in the sequence:

100, 20, 4, 4 /5, ...

4 / 25

5

Write the next term in the sequence:

3 / 8, 3 / 2, 6, 24, ...

96

Translation

1

12 times f

12f

2

The quotient of t and 4

t / 4

3

17 less than the product of 3 and c

3c - 17

4

The ratio of d and e

d / e

5

Twice x less than z

z - 2x

Multiplying Constants & Variables

1

(3)(4)(x)(x) = _________

12x²

2

(-4)(5)(-2)(a)(a)(a)(b) = _________

40a³b

3

(r)(r)(r)(s)(s)(t)(t)(t)(t) = _______

r³s²t⁴

4

(1/2)(8)(h)(h)(h)(i)

4h³i

5

(7)(4)(-2)(m)(n)(n)(n)(p)(p)(p)(p)(p)

-56mn³p⁵