Multistep Equations
Equations and Fractions
Inequalities
Compound Inequalities
Word Problems
100
Solve: −18 − 6k = 6(1 + 3k)
k = -1
100
Solve: 4/3 n − 2/3 n = 4/3
n = 2
100
Solve and graph the inequality: 0 > 3x − 3 − 6
x < 3
100
-1<9+x<17
-10<x<8
100

A burger costs $3 plus 60 cents for each topping.  If you have $5, what is the maximum number of toppings you can get on your burger?

3 toppings (with $0.20 left over!)

200
Solve: 2(4x − 3) − 8 = 4 + 2x
x = 3
200
Solve: 2.4 = 0.6(−x − 3)
x = -7
200
Solve and graph the inequality: −6 > 5n + 5 + 4
n < -3
200
x+5>12 or x/9<0
x>7 or x<0
200

Javier is trying to get healthy.  He is supposed to eat at least 1500 calories a day, but not more than 1800.  Write the compound inequality that shows this.  Graph it on a number line as well.

1500<=c<=1800

300
Solve: 24a − 22 = −4(1 − 6a)
No solution
300
−1.6 + 1/2 n = −0.7(−6 + 8n) + 0.3
n = 1
300
Solve and graph the inequality: 7 < −(−k − 3) + 2
k > 2
300
-50<7x+6<-8
-8<x<-2
300
Find three consecutive even integers whose sum is 66.
20, 22, 24
400
Solve: −5(1 − 5x) + 5(−8x − 2) = −4x − 8x
x = -5
400
Solve: −1/2 (x − 12) = −3/8 (1 + 7x)
x = - 3
400
Solve and graph the inequality: −5(1 − 4a) > −5
a > 0
400
2x+7>27 or 3+3x<30
x>10 or x<9
400
A triangle with equal sides and a square have the same perimeters. The length of a side of the triangle is 2x + 2. The length of a side of the square is x + 8. Write and solve an equation to find x.
3(2x + 2) = 4(x + 8) x = 13
500
Solve: 10p + 9 − 11 − p = −2(2p + 4) − 3(2p − 2)
p = 0
500
Solve: −0.3(2/5r − 4/5) = −4/25
r = 5
500
Solve and graph the inequality: 2(1 − 4r) < −2(r + 3) − 4
r > 2
500
6+7x<6x-5 or 3x-7<5+6x
x<-11 or x>-4
500
Verizon charges $40 per line plus a $50 fee for 4 GB of data, whereas AT & T charges $30 per line plus a $110 for 9 GB of data. At how many lines will the plans be equal?
6 lines
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