Solving for X
Simplifying Expressions
Factoring
Word problems
Graphing Basics
100

solve for x + 5 = 12

what is x = 7


100

2x + 3x

what is 5x

100

x² + 5x + 6

what is (x + 2)(x + 3)

100

I have $12. I spend $x. What’s left?

$12 - x

100

Identify slope: y = 2x + 3

Slope = 2

200

2x - 4 = 10

what is x = 7

200

4(x - 2) + 3x

what is 7x - 8

200

x² - 9

what is (x - 3)(x + 3)

200

Twice a number is 14. What is the number?

2x = 14 → x = 7

200

Is (2, 5) on the line y = x + 3?

y = 2 + 3 = 5 → YES

300

3(x + 2) = 18


what is x = 4

300

(x + 2)(x - 3) - x²

what is -x - 6

300

x² - 4x - 21

what is 

(x - 7)(x + 3)

300

A rectangle has area 24 and width x. Find length if A = lw

24 = x * L → L = 24/x

300

Graph y = -x + 1

Line with slope -1, y-intercept 1 (straight line downward)

400

(x/2) + 6 = 10

what is x = 8

400

3x - [2(x - 1) + 4]

what is x - 6

400

3x² + 12x

what is 

3x(x + 4)

400

A car travels 60 miles in x hours. Write an equation for speed.

Speed = 60/x

400

Find x-intercept: y = 2x - 8

  • 0 = 2x - 8 → x = 4


500

4x - (x/3) = 10

what is x = 30/11 or ~2.73

500

(x² - 9)/(x + 3)

what is x - 3

500

x³ - 27

what is 

(x - 3)(x² + 3x + 9)

500

I’m thinking of a number: half it and subtract 3 = 5. What is it?

x/2 - 3 = 5 → x = 16

500

Equation of line through (1,2), slope 3

y - 2 = 3(x - 1) → y = 3x - 1