Solve Equations
m & b
Simplify
Solve Systems
Grab Bag
100

Solve: 

2x - 4(x - 2) = 6x

x = 1

100
What is the slope and y-intercept of y=2x - 5
m = 2 and b = -5
100

Change this product into a sum (x+5)(2x-3)

2x+7x-15

100
Describe (or sketch) 3 systems of equations graphs with 1 solution, no solution and infinite solutions.

One: intersecting lines, None: parallel lines, Inf: same line (coinciding) 

100

Give the next 3 terms in this sequence: 1/2, -1, 2...

-4, 8, -16

200

⅙x + 3 = ½(x - 2)

x=12

200
Identify the slope and y-intercept of 2x + y = 6
m=-2, b=6
200

Simplify: (-3x4y2)(5xy3)

-15x5y5

200

Two lines cross each other at the point (-3, 1/2). If we wrote the equations for each line and then solved the system of equations, what would the solution be?

(-3, 1/2)

200

Anything to the power of zero... Example: 50 or (1/2)0

1

300

|2x - 5| = 20

x=-7.5 and x=12.5

300
Identify the slope and y-intercept of y - 3 = 4(x+1)
m=4, b=7
300

Simplify: (2c2 - c) + (-5c3 + c2 - 2)

-5c3 + 3c2 - c + 2

300
Solve the system: x + y = 12 x - y = 8
(10,2)
300

Mark planted a lemon tree. When it was planted the tree was 4 months old and 1 feet tall. The tree grew at a rate of 2 feet each year for 8 years, but those trees typically don’t live any longer than 30 years. What is a reasonable domain for this scenario?

D: 0 ≤ x ≤ 30(ish)

400

3(x-14) = 17x

x = -3

400
Identify the slope and y-intercept of A line that goes through (0,2) and (-4,0)
m=1/2; b=2
400

Simplify: (2x - 9)2

4x2-36x-81

400

Solve the system: 2x - 3y = 21 5x + 5y = -10

(3, -5)

400

Amanda needs to take an Uber to get to the mall. The Uber charges a flat fee of $5 and then $1.50 for each mile.  If the total charge is $21 then how far was Amanda's ride? Round the answer to the nearest tenth.

10.7 miles

500

Solve for x; 2x - 4(2 - x) = 2(15x - 3)

x = -1/12

500
Identify the slope and y-intercept of a line that is parallel to y=-1/2x - 7 and goes through the point (2,5)
m = -1/2; b=6
500

Simplify: 10y-2

10/y2

500
Baskteball tickets are $3.00 for students and $5.00 for everyone else. At the last game 200 tickets were sold and $856 was earned. How many tickets were sold to non-students?
128 tickets were sold to non-students
500

f(x) = -x2 - x + 2

Find f(-2)

f(-2) = 0

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