Solving Equations
Special Cases
Slope
Interval Notation
Compound Inequalities
Word Problems
100
Get y by itself:
2x-7y=28
y=2/7x-4
100
r+9+7r=4(3+2r)-3
9=9 or 8r=8r
Infinitely Many Solutions
100
What is the slope of the Line
m=2
100
Write the following inequality as interval notation: -2 < x < 1
What is (-2, 1)
100
2n + 7 ≥ 27 or 3 + 3n ≤ 30
n ≥ 10 or n ≤ 9
IN: (neg. infinity, 9] or [10, infinity)
100
WRITE AN EQUATION & SOLVE: Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister?
n - Julie's sister's age n + 3 = 11 n = 8 Julie's sister is 8 years old.
200
Solve the equations.
-x+2=-2x-3
x=-5
200
3(m+5)-1+2m=5(m+2)
14=10 or 0=-4
No solution
200
Given the function name the important parts:
x-intercept:
y-intercept:
2x-y=-8
x-Intercept: (-4,0)
y-Intercept:(0, 8)
200
what is the interval notation:
-6x>-18
x<3
(-infinity, 3)
200
-4<=3x+2<11
-2<=x<3
200
Ms. Stanziale has a gift card for $200 that loses $3 for each month it is not used. She has another gift card for $150 that loses $2 per month it is not used. Assuming Ms. Stanziale does not use the gift cards, write an equation to find the number of months, m, for when the value on the cards would be EQUAL.
200-3m=150-2m
300
Solve the equations. 4(2x-1)-3x=16
x=4
300
8(3x+10)=28x-14-4x
80=-14
No solution
300
Solve the inequalities.
3+b/3<7
b<12
300
Solve and write the answer in interval notation. 10 < 3x + 4 < 19
What is (2, 5)?
300
-10x + 3 < -37 or 3x - 10 < -25
x > 4 or x<-5
IN: (neg. infinity, -5) or (4, infinity)
300
The sum of three consecutive integers is 180. what is the equation for the problem, and what are the three integers?
(x)+(x+1)+(x+2)=180
x={59, 60, 61}
400
Solve the equations. 42=18t+4(t+5)
t=1
400
2x-1=-2x-3
x=-1
One Solution
400
Given the function name the parts of the equation:
m:
b:
y=5/6x-6
m:5/6
y-Intercept:-6
slope of the parallel line is 5/6
400
What is the difference between the number line graphs of these two intervals: (2,8] and [2,8] ?
What is the first graph has an open/unshaded circle at 2 while the second graph has a closed/shaded circle at 2.
400
6x+3<=-27 or -4x+3<-21
x<=-5 or x>6
(-infinity, 5] or (6, infinity)
400
Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?
100<=5x+10
500
4 - 8x = 13x + 2(2 +x)
What is x = 0?
500
-5-9x=-9x-5
-5=-5
Infinitely Many Solutions
500
Slope using the points:
(0, 1) and (2, -3)
m:-2
500
Solve & write the answer in interval notation. 5x + 7 < 3(x + 1)
What is (-infinity, -2)
500
3(p - 3) - 5p > -3p - 6
p > 3
IN: (3, infinity)
500
Raymond just got done jumping at Super Bounce Trampoline Center. The total cost of his session was $43.25. He had to pay a $7 entrance fee and $1.25 for every minute he was on the trampoline. Write and solve an equation.
7+1.25x=43.25 x=29