Multistep Equations
Solve:
−18 − 6k = 6(1 + 3k)
k = -1
Solve:
4/3 n − 2/3 n = 4/3
n = 2
Solve and graph the inequality:
3x − 3 − 6 < 0
x < 3
Solve and graph the following inequality:
x - 6 ≤ -11 or (x/3)>-1
x ≤ -5 or x > -3
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. Write an equation to show how many miles Ann drove.
2.1x + 5 = 49.1
Solve:
2(4x − 3) − 8 = 4 + 2x
x = 3
Solve:
2.4 = 0.6(−x − 3)
x = -7
Solve and graph the inequality:
5n + 5 + 4 < -6
n < -3
Solve and graph the following inequality:
-19 < 5 - 3x < 11
-2 < x < 8
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. Write an equation that represents the number of questions that were on Tim's math test.
4(x - 10) = 76
Solve:
24a − 22 = −4(1 − 6a)
No solution
−1.6 + 1/2 n = −0.7(−6 + 8n) + 0.3
n = 1
Solve and graph the inequality:
−(−k − 3) + 2 > 7
k > 2
Solve and graph the following inequality:
2b + 17 > 17 or 4b + 2 ≤ -14
b > 5 or b ≤ -4
WRITE AN EQUATION for the following situation.
Assume x represents the width. The length of a rectangle is 6 inches more than the width. The perimeter of the rectangle is 24 inches. What is the length and width of the rectangle? Write a SIMPLIFIED equation that could be used to answer this question.
4x + 12 = 24
Solve:
−5 + 25x + 5(−8x − 2)= −4x − 8x
x = -5
Solve:
−1/2x + 6 = −3/8 - 21/8x)
x = - 3
Solve and graph the inequality:
−5(1 − 4a) > −5
a > 0
Solve and graph the following inequality:
-4n - 3 < -19 and 7n - 11/5 ≤ 31
4 < n ≤ 6
WRITE AN EQUATION for the following situation.
Assume x represents the first number. The sum of 3 consecutive odd numbers is 45. What are the numbers? Write a SIMPLIFIED equation that could be used to represent this situation.
3x + 6 = 45
Solve:
10p + 9 − 11 − p = −2(2p + 4) − 3(2p − 2)
p = 0
Solve:
2/5r − 4/5 = −4/25
r = 8/5
Solve and graph the inequality:
4 − 9r < −2(r + 3) − 4
r > 2
Solve and graph the following inequality:
7 ≥ 3r + 1 > -14
-5 < r ≤ 2
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.