Writing Equations
Tricia and Melanie are both saving money for their summer vacations. They both began saving at the same time.
Tricia started with $10.25 and adds $5.15 to her saving every month.
Melanie did not have a saving amount but adds $10.25 to her saving every month.
What equation can be using to determine how many months, m, it will take for both to save the same amount of money?
$10.25 + $5.15m = $10.25m
A student a bicycle fewer than 30 miles during a period of 5 days. The student rode 8 miles on Monday and m miles each day from Tuesday through Friday.
Which inequality represents all possible values of m?
8 + 4m < 30
What is the value of x in this equation?
2x = -52
x = -26
Solve for x.
70 - 4x = 30 + 4x
x = 5
Jack and Tim are racing remote-controlled cars. Jack's car travels 3.5 feet per second, while Tim's car travels 5.25 feet per second. Because Jack's car is slower, Tim gave Jack a 10-foot head start. Which inequality can be used to determine after how many second, s, Tim's car will be ahead of Jack's car?
3.5s + 10 < 5.25s
What is the solution to the inequality 3x - 8 > 7?
x > 5
Helen has $330 in her saving account when Vince opened a saving account with zero dollars.
Helen deposited $30 into her account each week for x weeks.
Vince deposited $50 into his account each week for x weeks.
What inequality can be used to show Helen's account was greater than the amount of money in Vince's account?
50x < 330 + 30x
What is the solution to the inequality 3.3w - 9 > -22.2?
w > -4
What is the solution to this equation?
2x + 10 = 28
x = 9
Solve for x.
20 - x = 35 - 2x
x = 15
Write an equation that represents the following equation.
250 + 6.5x = 575
Situations may vary.
Write a situation to represent the following inequality.
120 ≤ 12k + 29
Situation will vary.
What is the solution for the following inequality?
-4x - 20 ≤ 2
x ≥ -3
What is the solution to this equation?
30.16 = 17.56 + 5x
x = 2.52
Solve for x.
$5.00 + $0.65x = $10.00 + $0.45x
x = 25