"Legal Moves"
Isolate a Variable
Interpret Lines
Write Equations
Solving Systems
100
Multiply by 2 to create an equivalent expression:
4 - (2x - 3)
8 - 2x + 6
100
Rewrite the equation for m:
25=n+m
m=25-n
100
Identify the slope and y-intercept of
y=1/3x-6
slope is 1/3
y-intercept is (0,-6)
100
Longnecker is buying flowers for homecoming. Roses (r) cost $8 each, and Daisys (d) cost $5 each. She can spend M dollars.
8r+5d=M
100
Show the substitution required to solve the system. Do NOT fully solve.
y=x-4
3x+6y=12
3x+6(x-4)=12
200
Multiply by -3, and combine like terms, to create an equivalent expression:
4 - (2x - 3)
-21 + 6x
200
Rewrite the equation for h:
42=h*k
h=42/k
200
Identify the slope and y-intercept of
-3x+4y=20
slope is 3/4
y-intercept is (0,5)
200
Whitehead is training for a race. She has already run 15 miles, and she will run 2 miles every time she works out (w). She wants to reach T total miles.
T=2w+15
200
Show the elimination required to solve the system. Do NOT fully solve.
-4x+2y=-15
4x+3y=5
5y=-10
300
Divide each term by the denominator to create an expression with two terms.
(15x - 20)/5
3x - 4
300
Rewrite the equation for y:
4x+2y=10
y=-2x+5
300
Based on the graph, what does the y-intercept represent?
Having a cell phone for 0 months would cost about $60
300
A phone company charges a base fee of $18 per month plus an additional charge, a, per minute, m. The monthly phone cost total is C dollars.
18+am=C
300
Show the elimination required to solve the system. Do NOT fully solve.
2x-y=1
7x+4y=8
15x=12
400
Simplify each side as much as you can. DO NOT SOLVE.
(3x-10)/2 = 10-2(x+4)
1.5x-5=2-2x
400
Rewrite the equation for q:
P=15+qn
q=(P-15)/n
400
Based on the graph, what is the meaning of the point represented with red lines?
Having a cell phone for 9 months would cost about $425.
400
Block is buying his son a new basketball uniform. The base price is $20, but he has to pay $3 per color used, and $0.50 per letter used. He has U dollars to spend.
20+3c+0.5l=U
400
Solve the system. Show all of your work.
y=-x+10
4x-3y=12
(6, 4)
500
Solve for x.
(3x-10)/2=10-2(x+4)
x=2
500
Rewrite the equation for k:
B=-8+gk
k=(B+8)/g
500
Write a sentence explaining the slope of the graph.
Every month you have the cell phone, the cost increases by about $40
500
Connie’s Cookie Shop sells large cake-sized cookies. A standard large cookie is 8 inches across and costs $14 with no toppings. Each topping, t, added to a cookie costs $0.75 and each inch larger, m, costs $2.50. Write an equation to find the total cost, C, to represent a large cookie purchased from Connie’s shop
C=14+0.75t+2.50m
500
Solve the system. Show all of your work.
4y=2x-8
3x-2y=6
(1, -1.5)