Simplifying Expressions Review

Combining Like Terms

100

Simplify  5 - 2b + 4b - 2 - 3b + b

3

200

Simplify  10 + 4d³ - 6d - d² + 5d + 2d² + d³

5d³ + d² - d +10

300

Simplify  5x + 2x³ + 3x² - 4x³ + 7x²

-2x³ + 10x² + 5x

400

Simplify  x + 2(x - 1) - 3x²

-3x² + 3x - 2

500

Simplify  -3(10b + 10) + 5(b + 2)

-25b - 20

Distributing

100

Simplify  6(15 - 4x²)

-24x²+90

200

Simplify  -7(-6 + 8y)

-56y + 42

300

Simplify  3(a + 4b) - 7b

3a+ 5b

400

Simplify  - 5 + 9(x + 4) + x

10x + 31

500

Simplify   3(7n+5m) - 2(m - 4n)

13m + 29n

Substitution

100

Evaluate  a² + b² - c²  when  a=9, b=12, and c=15

0

200

Evaluate  xz+y²   when  x = 2, y = -3, and z = 14

37

300

Evaluate  (6x)(3x⁵)  when   x = 3

13,122

400

Evaluate  14(2m - 3) + 5m     when   m = -1

-75

500

Evaluate  3x² - 5x +2  when  x = 9

200

Exponents

100

Simplify  (2a⁶)(5a¹¹)

10a¹⁷

200

Simplify  6x⁵ / 10x⁵

6/10

(or 0.6, or 3/5)

300

(8v⁰)(6v)(-v³)

-48v⁴

400

(16y⁵) / (2y³)

8y²

500

(4x³)(x^-2)(7x⁴)

28x⁵

Miscellaneous

100

What is the difference between an expression and an equation?

Equations have =

200

How many terms are there in the expression:

6x⁴ + 5x³ - 2x² + 7

4

300

(6.1)*(101,326.987) rounded to the nearest tenth is:

618,094.6

400

A variable is a _________ that stands for a __________.

Letter... number

500

In the expression,  2x⁵+6,   the "2" is called the ___________, the "5" is called the ____________, and the "6" is called the _____________.

2 = Coefficient, 5 = exponent, 6 = constant