Over the weekend, Mrs. Kingston sold slices of cake at a bake sale fundraiser for her son's soccer team. Each cake was cut into eight slices. On the first day of the sale, she sold 2 1/4 chocolate cakes, and 2 3/8 caramel cakes. On the second day, she sold 3/4 of a chocolate cake and 3 1/2 caramel cakes.
Which statement tells the total number of cakes she sold and explains how the total can be calculated?
Responses
A First, find the least common multiple and change only the denominators: 2 1/8 + 2 3/8 + 3/8 + 3 1/8 = 7 8/8. Next, simplify: 7 88 = 8.First, find the least common multiple and change only the denominators: 2 1 8 + 2 3 8 + 3 8 + 3 1 8 = 7 8 8 . Next, simplify: 7 8 8 = 8.
B Change the fractions to make denominators common, and then add: 2 28 + 2 38 + 68 + 3 48 = 7 158. Next, simplify: 7 158 = 8 78.Change the fractions to make denominators common, and then add: 2 2 8 + 2 3 8 + 6 8 + 3 4 8 = 7 15 8 . Next, simplify: 7 15 8 = 8 7 8 .
C Change the numerators to 3 to make them common, and then add: 2 312 + 2 38 + 34 + 3 36 = 7 330. Next, simplify: 7 330 = 7 110.Change the numerators to 3 to make them common, and then add: 2 3 12 + 2 3 8 + 3 4 + 3 3 6 = 7 3 30 . Next, simplify: 7 3 30 = 7 1 10 .
D Add across the numerators and denominators first: 14 + 38 + 34 + 12 = 818. Next, add whole numbers 2 + 2 + 3 = 7, then combine: 7 818
= 718.
The correct statement is D.
A submarine is 700 feet below sea level. If it ascends 300 feet, which integer represents its new position?
Responses
A 400400
B −400−400
C 1,0001,000
D −1,000
The correct integer that represents the submarine's new position after ascending 300 feet is A. 400.
Determine which of these illustrates two quantities that combine to make 0.
Responses
A Latanya lost ten pounds and then gained six pounds.Latanya lost ten pounds and then gained six pounds.
B A business's profit if its income is more than its expenses.A business's profit if its income is more than its expenses.
C It is twenty degrees below zero and then the temperature rises ten degrees.It is twenty degrees below zero and then the temperature rises ten degrees.
D Kyle scores 150 points on a video game and then loses half of those points.Kyle scores 150 points on a video game and then loses half of those points.
E Marty gets ten dollars for his allowance and then spends ten dollars at the movies
The correct response that illustrates two quantities that combine to make 0 is D. Kyle scores 150 points on a video game and then loses half of those points.
If the absolute value of x is 4, what is the value of x?
Responses
A -16 or 16-16 or 16
B -4-4
C -4 or 4-4 or 4
D 4
If the absolute value of x is 4, the value of x can be either -4 or 4. Therefore, the correct response is C. -4 or 4.
Find the sum of -52 and -26.
Responses
A -78-78
B -50-50
C -26-26
D 26
The sum of -52 and -26 is -78. Therefore, the correct response is A. -78.
What is the difference in temperature between −10°F and 30°F?
Responses
A 10°F10°F
B 15°F15°F
C 20°F20°F
D 40°F