Simplify Expression
Writing Inequalities/ Equations
Inequalities
Solving Equations
Bonus Knowledge
100
Distribute
3(7x+3)
21x+9
100
Write the inequality:
The speed limit is 45 mph. Use s for the variable.
s ≥ 45
45 ≤ s
100
Solve x
10+x> 20
x>10
100
Solve for x
4x+3=11
x= 2
100
What are the 3 types of solution?
1. No solution
2. Infinite solution
3. One solution
200
Combine like terms
2k+6k+2+10-3k
5k+12
200
Write the inequality:
x is no more than 66
x < 66
200
Define each symbol:
>, <, ≤ , ≥
> : greater than
< : less than
≤ : less than or equal to
≥ : greater than or equal to
200
Solve for d
2d-2.6=5.4
d= 4
200
From this equation what is the slope and y-intercept?
y= 1/2x+6
slope: 1/2
y-intercept: 6 or (0,6)
300
Distribute, then combine like terms
10(x+8)+2x+5
12x+85
300
A painter wants to mix red paint and white paint to make 10 gallons of pink paint. Red paint costs $5 per gallon and white paint cost $2 per gallon. The total cost is $32.
r= red paint
w= white paint
r + w=10
5r+2w=32
300
What is the difference between an open and closed point for an inequality
Open doesn't include the number (>, <)
Close does include the number(≤ , ≥)
300
Solve for x
2x+5=3x
x=5
300
Interpret the y-intercept and x-intercept (if any)
y-intercept: (0,1)
x-intercept: (-1.5,0)
400
Simplify
6(-5x+2)-2(5x-9)
-40x+30
400
A college student buys some new books for $15 each and some used books for $5 each. The student buy 6 books and spends $50.
n= new books
u= used books
15n+5u=50
n + u=6
400
Graph this inequality on the number line
x ≤ 3
400
Solve by elimination/ substitution : solve for p and q
p+q=60
2p+4q=180
p=30
q=30
400
What is the domain and range?
domain: (-3, 2)
range:(-5, 2)
500
Factor this expression
3y+18
3(y+6)
500
Write the inequality:
A local bakery sells cookies. The bakery wants to ensure that the total number of cookies sold each day is at least 100 cookies a day. Use c for the variable
c ≥100
500
Solve for p
-2(6p-5)≤ 22
p ≥ -1
500
Solve by substitution/elimination. Solve for x and y
-3x-6y=-15
3x+4y=7
x=-3
y=4
500
Interpret the slope, y-intercept, x-intercept, domain, & range
slope: 3/2
y-intercept: (0,-3)
x-intercept: (-4,0) & (2,0)
range:(-3, ∞ )
domain:(-∞ ,∞ )