Math 1 Unit 1 Review

Classify Polynomials

100

Classify by the number of terms

x⁵ - x⁴ + 3x

Trinomial

200

What is the coefficient of the term

-2r³

-2

300

Classify each of the polynomials by the number of terms

4x⁴+4x    and    4x⁶

binomial & monomial

400

Identify all the coefficients

-6f⁴ + 7f⁵g⁴h⁶ + 9h²

-6, 7, 9

500

List the terms 

-8x⁴ - 3x³ + 6x² - 4

-8x⁴; - 3x³; + 6x²; - 4

Combining Like Terms

100

(9v⁴ - 2v³ - 3) + (3v⁴ - 6v - 1)

12v⁴ - 2v³ - 6v - 4

200

(-x² - 7x - 8) - (-3x² - 5x + 2)

2x² - 2x - 10

300

12(x + 1) - 4(x +1)

8x + 8

400

9 - 7(2+x) + 8x

-5 + x

500

(2x⁴ - 2) - (3x³ + 3) + (4x⁴ - 4x³)

6x⁴ - 7x³ - 5

Functions & Function Notation

100

Find f(3) when f(x) = 4^x

64

200

Which function is linear?

A) y = -4 / x

B) y = (3/5) - (8/x)

C) y = -x / 4

D) y = 3/(x+8)

C) y = -x / 4

300

Find f(-9) when f(x) = 51/(x-8)

-3

400

As a puppy ages, it increases in weight.  The function k(t) represents the weight of the puppy in kilograms after t weeks.  What is the meaning of k(5) = 15?

A) After 5 weeks the puppy weighs 15 kilograms

B) The puppy gains 5 kilograms per week

C) The puppy gains 15 kilograms per week

D) After 15 weeks the puppy weighs 5 kilograms

A) After 5 weeks the puppy weighs 15 kilograms

500

Let f(s) be a car's miles per gallon when driven at s miles per hour.  What does f(52) represent?  

A) The speed the car is driven when it gets 52 miles per gallon

B) The number of miles per gallon the car gets at 52 mph

C) The number of gallons of fuel the car uses to drive 52 miles

D) The number of miles the car travels while using 52 gallons of fuel.

B) The number of miles per gallon the car gets at 52 mph

Solving Equations

100

Solve

-3x - 30 = -21

x = -3

200

Solve

20 = 10(x-6)

x = 8

300

Solve

5(-5x - 3) = -9x

x = -15/16

400

Solve

-7x - 10 + 9x - 23 = -2

x = 31/2 or 15.5

500

Solve

4(x - 3) = -2( 4-2x)

No solution

Miscellaneous

100

Solve

15x - 8 > 13x

x > 4

200

Solve

16x - 16 > 17x + 2

x < -18 

or 

-18 > x

300

Solve

80 > 5(16x - 4)

x < 5/4

or

5/4 > x

400

Solve for y

Ax + By = C

y = (c - Ax) / b

or 

y = (-Ax + c) / b

500

Solve for W

A / W = L

W = A / L