Multistep Equations
Multi-Variable Equations
Inequalities
Compound Inequalities
Application
100
Solve: -5(x-2)-(x+2)=50
x=-7
100
Solve for t: I = prt
t = I/pr
100
Solve and graph the inequality: 2 (x + 3) > 4(x - 1)
x < 5
100
Solve and graph the following inequality: x - 6 ≤ -11 or (x/3)>-1
x ≤ -5 or x > -3
100
Write an equation for the following situation. Assume x represents the number of miles driven. Ann took a taxi home from the airport. The taxi fare was $2.10 per mile, and she gave the driver a tip of $5. Ann paid a total of $49.10. How many miles did Ann drive?
2.1x + 5 = 49.1
200
Solve: 8 - 3(k + 2) = 2 - 3k
k = infinite solution
200
Solve for y: Ax + By = C
y = (C-Ax)/B
200
Solve and graph the inequality: 5x + 24 > 2(x - 9) -3x
x > -7
200
Solve and graph the following inequality: -19 < 5 - 3x < 11
-2 < x < 8
200
Write an equation for the following situation. Assume x represents the number of questions on the test. Tim answered all the questions on his math test but got 10 answers wrong. He received 4 points for every correct answer, and there was no penalty for wrong answers. His score was 76 points. How many questions were on Tim's math test?
4(x - 10) = 76
300
Solve: 3w - (7w + 12) = 2(w - 3)
w = -1
300
Solve for L: 2W + 2L = P
L = (P - 2W)/2
300
Solve and graph the inequality: -9(x - 5) + 9 < 3x +42
x > 1
300
Solve and graph the following inequality: 2b + 17 > 17 or 4b + 2 ≤ -14
b > 5 or b ≤ -4
300
Write an equation for the following situation. Assume x represents the time that Train A has traveled in hours. At 10:00 AM train A left the station and an hour later train B left the same station on a parallel track. If train A traveled at a constant speed of 60 miles per hour and train B at 80 miles per hour, after how many hours did train B pass train A?
60x = 80(x - 1)
400
Solve: -7(a - 3) = 11 - 7a
no solution
400
Solve for h: V = prh
h = V/pr
400
Solve and graph the inequality: 2(x + 1) < -13 -3x
x < -3
400
Solve and graph the following inequality: -4n - 3/2 < -20 and 7/10n - 11/5 ≤ 2
37/8 < n ≤ 6
400
Write a simplified equation for the following situation. The lengths of the sides of a triangle are consecutive odd numbers. What is the length of the longest side (x) if the perimeter is 45?
3x + 6 = 45
500
Solve: 9 (n - 4) - 7n = 32 - 2(n + 8)
n = 13
500
Solve for a: w = 7a + 7b
a = (w - 7b)/7
500
Solve and graph the inequality: 2(1 − 4r) < −2(r + 3) − 4
r > 2
500
Solve and graph the following inequality: 7/4 ≥ 3/2r - 1/2 > -6
-11/3 < r ≤ 3/2
500
Write AND solve an equation for the following situation. On Saturday, you bowl at Mar Vista Bowl, where renting shoes costs $2 and each game bowled is $3.50. On Sunday, you bowl at Pinz where the shoe rental is $5 and each game bowled is $3.25. If you spent the same amount each day, how many games, x, were bowled?
3.5x + 2 = 3.25x + 5 12 games were bowled.
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