February Algebra Review

Solve Equations

100

Solve: 2x + 2 = 18

x = 8

200

Solve: 3x + 4 = 7

x = 1

300

Solve: 3x + 3 - 2x = 21

x = 18

400

Solve: 4x - 5 - 3x + 2 - 2x = 9

x = -12

500

Solve: 21 + x = 2(x - 6)

x = 33

Functions

100

Algebra: Is this a function: {(1, 2), (2, 3), (2, 4)} 

No

200

What is the domain of the function:

(-5, 10) , (-2, 11) , (1,4) , (5, 10)

{-5, -2, 1, 5}

300

Find the value of f(5) in the below function

f(x)=6 + 3x

f(5) = 21

400

What is a function called if no two elements of the domain map to the same element in the range?

one-to-one

500

What is a reasonable domain and range for the function:

Tickets to a sporting event cost $65

domain: whole numbers

range: multiples of 65

Linear Equations

100

What is the equation in point-slope form for the line that passes through (3, 1) and has a slope of 2?

y - 1 = 2 (x - 3)

200

Write the following equation in slope-intercept form:  5(x + 2y) = 20

y = -1/2x + 2

300

What is the equation of the line that passes through (-2, -1) and (0, -5) in slope intercept form?

y=- 2x - 5

400

What is the standard form of the equation:

y = 4x - 18

4x - y = 18

500

Are the following equations parallel, perpendicular or neither?

y = 2x + 1

2x -y = 3

parallel

Slope

100

Find the slope: 

2(3x - y)  = -10 

3

200

What is the slope of the following equation:

2x + 2y = 8

slope = -1

300

What is the slope of the equation

-2x + 5y = -4

2/5

400

Becky is competing in an 8-mile road race.  She runs at a constant speed of 6 mi/h.  If you wrote a linear equation to represent how much she has LEFT to run what would be the slope?

-6

500

 What's the slope of the line passing through (3,9) (5,4)

slope: -5/2

Solve or Simplify

100

Solve for y:

3x + 4y = -36

y = -3/4x - 9

200

Solve for x:

w=x/(a-b)

x=w(a-b) or x=wa-wb

300

The sum of three consecutive odd integers is 57.  What are the three integers?

 

17, 19, 21

400

Simplify: 

-(x + 7) -2(4x + y)

-9x -7 -2y

500

Simplify:

 1/4(-4 + 16x) - 2/5(20x - 15)

5 - 4x

Recursive and Explicit

100

Is the sequence an arithmetic sequence? If so what is the common difference?

77, 64, 51, 38, 25

yes,  -13

200

What is the recursive formula?

a_n = a_n - 1 + d

300

What is the explicit formula?

a_n = a₁ + (n - 1) d

400

What is the explicit formula for the recursive:

a_n = a_n - 1 + 15; a₁ = 8

a_n = -7 + 15n

500

What are the first 4 terms in the sequence:

a_n = 5 + 7n

12, 19, 26, 33

Random

100

What letter does every odd number have in it?

E

200

what is the longest side of a right triangle called?

hypotenuse

300

How many seconds are in one day?

86,400

400

What is the only number that doesn't have a Roman Numeral?

0

500

Answer the riddle: I am an odd number. Take away one letter and I become even.  What number am I?

seven