Sprint Relays Mid-unit 3 review
Problem 1
Are you awake? TIME: Lo arrived home at 5:45 pm from the store. At the store, she spent a half hour trying on clothes, 15 minutes looking at shoes, and 10 minutes waiting in line. If it took her 35 minutes to walk home, what time did she arrive at the store?
ANSWER: 4:15pm
Problem 2
Write an equation to model the situation. Ten increased by a number is -8.
ANSWER: 10 + n = -8
Problem 3
Write an equation to model the situation. The difference of -5 and a number is 12.
ANSWER: -5 – n = 12
Problem 4
Write an equation to model the situation. The product of a number and 4 is 32.
ANSWER: 4n = 32
Problem 5
Solve the equation. Check the solution.
ANSWER: a = 8
Problem 6
Solve the equation. Check the solution. 23 = d + 44
ANSWER: d = -21
Problem 7
Solve the equation. Check the solution.
ANSWER: n = 42
Problem 8
Solve the equation. Check the solution.
ANSWER: t = -9
Problem 9
STOCKS: The changes in the price of a certain stock each day are shown. The overall change for the week was -$0.50. Write and solve an equation to find the change in price on Friday.
ANSWER: x + 0.50 = -0.50 x = -$1.00
Problem 10
Solve the equation. Check the solution. 42 = -14x
ANSWER: x = -3
Problem 11
Solve the equation. Check the solution.
ANSWER: a = 8
Problem 12
Solve the equation. Check the solution. 𝑛 3 =7
ANSWER: 𝑛 = 21
Problem 13
Solve the equation. Check the solution. -6 = 𝑡 9
ANSWER: 𝑡 = -54
Problem 14
Solve the equation. Check the solution. 3m + 5 = 14
ANSWER: m = 3
Problem 15
Solve the equation. Check the solution.
ANSWER: k = 5
Problem 16
Solve the equation. Check the solution.
ANSWER: a = 27
Problem 17
Solve the equation. Check the solution. -15 = -7 – p
ANSWER: p = 8
Problem 18
Babysitting: Jane charges $5 per hour for babysitting. Last week, she earned a total of $55. Write an equation that could be used to find the number of hours h she babysat last week?
ANSWER: 5h = 55
Problem 19
Exercise: Brandi rode her bike the same distance on Tuesday and Thursday, and 20 miles on Saturday for a total of 50 miles for the week. Solve the equation 2m + 20 = 50 to find the distance Brandi rode on Tuesday and Thursday.
ANSWER: m = 15 miles
Problem 20
A diagram of a room is shown: If the perimeter of the room is 78 feet, find the value of w.
ANSWER: w = 12 feet
Problem 21
Text Messages: A cell phone company charges $45 a month for services and $0.12 extra for each text message. Ms. Barnes was charged $49.32 last month. Write and solve an equation to find the number of text messages she sent.
ANSWER: 45 + 0.12t = 49.32 36 text messages