Solution or Not a Solution?
It is a solution.
Which property of equality is being used?
If y/8 = 4, then y/8 x 8 = 4 x 8.Multiplication Property of Equality
Let a equal the measure of angle A. The equation 360 = a + 90 + 135 + 75 represents the sum of angles in a quadrilateral. What is a?
a = 60
Gillian reads 3,135 words in 19 minutes. Let w represent the number of words read each minute. Write and solve to find w.
3,135 / 19 = w
w = 165 words
What is the value of y in 0.26y = 0.676?
y = 2.6
Which values would NOT be a solution to the equation 9.4 = k + 5.07?
k = 3.33, 4.33, 4.47, or 14.47
3.33, 4.47, and 14.47
You are checking how a friend balanced an equation. His unbalanced equation was: 16 / 8 = 16 / 8 -1
They wrote for their balanced equation: 16 / 8 + 1 = 16 / 8 - 1
What error did they make?
They should have balanced the equation using -1, not +1.
This year, a rancher counted 225 horses on the range. This count is 22 fewer than last year. How many horses did the rancher count last year.
Write an equation using h for the number of horses and solve.
h - 22 = 225
h = 247 horses
15,180 / 46 = d
d = 330 dimples
Yelena needs to swim a total of 8 miles this week. So far, she swam 5 3/8 miles. How many more m miles does she need to swim?
m = 2 5/8 miles
Annabeth has $29 to spend at a sports good store. She buys a shirt for $15.32. She spends all of her money but also wants to buy a soccer ball for $13.68, a baseball cap for $8.39, shin guards for $14.98, or a water bottle for $5.93.
Write the equation for Annabeth AND identify which item she will buy using c to represent the cost of the item.
$15.32 + c = $29
She will buy a soccer ball.
James multiplies one side of the equation 56 + 124 = 180 by a number n. What does James need to do to balance the equation?
He needs to balance the other side with a number n.
Jorge hiked 15.4 miles on Monday. He hiked 20.6 miles on Tuesday, and the rest of the 50 mile trail on Wednesday.
Write an equation using m to show the total number of miles Jorge hiked on Wednesday.
50 - 15.4 - 20.6 = m
m = 14 miles
In May, a landscaping crew used 8,500 pounds of potting soil. One bag contains 50 pounds of potting soil.
Can the equation 8,500 x 50 = p be used to find how many bags of potting soil they used in May?
No, it should be 50p = 8,500.
In a 400-meter relay race, 4 runners pass a baton for each leg of their race. The runners ran at 53.715, 51.3, 52.62, and n seconds. Suppose the team had a goal of running the race in 210 seconds. What time n did the 4th runner complete their leg?
n = 52.365 seconds
Jerry needs to build a table with a square top. The perimeter of the tabletop is 17 feet. He has options to buy side lengths that measure 3, 3 1/4, 4, or 4 1/2 feet. Will he able able to build the table? Explain why!
No, he needs side lengths that measure 4 1/4 feet.
If you are given a true equation and you multiply each side by the same number, the resulting equation is also a true equation. If you are given a false equation and you multiply each side by the same number, will the resulting equation be a true equation or a false equation? Identify an example.
It would be a false equation.
A volunteer made m muffins for a bake sale. After selling 28 muffins, 21 muffins remained. What is the equivalent equation to use for solving?
m - 28 + 28 = 21 + 28
A swim team ordered 36 jackets that each cost the same amount. The total cost of the order was $1,116. Let c be the cost of each jacket. Write an equation and solve to find c cost for each jacket.
36c = $1,116
c = $31
Sam needs a bowl to mix her punch. She has a 2-cup bowl, 4-cup bowl, and 6-cup bowl. What is the smallest bowl Sam can use to make her punch with the ingredients below?
Ingredients: 2/3 cup pineapple juice, 1/2 cup orange juice, 3/4 cup lemon-lime juice, 1/3 cup ginger ale
4-cup bowl
A math exercise states that the circumference of a certain circle is 16.85 inches with a diameter d and the value of pi rounded to 3.14.
Larry says the diameter is 5.3 inches; Rosie says it's 5.5 inches; Rashida says it's 5.4 inches. Which, if any, of the students is correct? Use the equation 3.14d = 16.85 to solve.
Larry is correct.
Is the equation (3 + 4) / 2 = 2 + a NOT equivalent to 3 + 4 = a?
It is NOT equivalent because it should be a / 2.
Krystal says that you need to add 52 to solve the subtraction equation y - 11 = 52. Is Krystal correct?
No, she should add 11.
Stanley bought 108 feet of fencing to put around his backyard. The backyard is a square. Write and solve an equation to find the dimensions of his backyard. Is the area big enough for a pool that is 800 ft2?
108 = 4s
No, it only measures an area of 729 ft2.
A bus left NYC and arrive in Philadelphia after 2 1/3 hours. From there, it took 1 3/4 hours to travel to Baltimore. It took another 5/6 hour to go to Washington. If the bus arrived at 10:05pm, at what time did it leave NYC?
It left at 5:10pm.