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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
Some number was divided into 60. This quotient was then multiplied by 5, after which the resulting product was added to 13. Given this sum totaled to 43, find the initial number.
(60/x)5+13=43 x=10
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 on a diet. He is supposed to eat at least 1500 but not more than 1800 calories per day. Before his last meal of the day, he had consumed 1150 calories. According to Javier’s diet plan, what number of calories may he consume at his last meal of the day?
350 ≤x ≤650
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