Choose the algebraic expression that best represents the following situation: Jeral's test score (J) was 5 points higher than half of Kara's test score (K).
A. K = 1/2 × J - 5
B. J = 1/2 × K + 5
C. J = 2K - 5
D. K = (J - 1/2) - 5
Loral received all her grades for the semester (in parentheses) along with the weight for each grade, shown below.
Weight 45% = 3 tests (80%, 75%, 92%) 25% = final (88%) 15% = paper (91%) 15% = 2 oral quizzes each worth 25 points (22, 19)
What is her final grade?
A. 85
B. 79
C. 86
D. 88
The price of a pencil box increased from $25 to $26.50. What is the percentage increase in the price?
A. 6%
B. 35%
C. 60%
D. 0.6%
In a sale, all prices are reduced by 40%.
Calculate the original price of an article whose sale price is $42.
A. $72
B. $58.80
C. $105
D. $70
A tank is 12 cm high with a square base. Its sides are 10 centimeters wide. What is the volume of the tank in cubic centimeters?
A. 600
B. 1200
C. 120
D. 4800
What is the number a, if the result of adding a to 80 is the same as subtracting 2a from 272?
A. -64
B. 64
C. 192
D. 62
What is the value of a in this equation? 6a/5 - 2a/2 = 1/2
A. 2/5
B. 5
C. 20/4
D. 5/2
Mary is x years old. She is 6 years older than her twin brothers Sam and Paul. What is the mean age of the three children?
A. x - 2
B. x - 3
C. x - 4
D. x + 4
In a competition, three teams, A, B and C, scored a total of 150 points.
If A scored 40% of this total and B scored four times as many points as C, what were the number of points scored by B?
A. 72
B. 90
C. 18
D. 60
What is the number of sides of a regular polygon whose interior angles are 156º each? (Remember, the sum of exterior angles of any polygon is 360º.)
A. 15
B. 14
C. 6
D. 8
Arrange the numbers 5, 4.26, 9/4, 13/3, and 8/2 in order, from least to greatest.
A. 13/3, 8/2, 4.26, 5, 9/4
B. 9/4, 8/2, 13/3, 4.26, 5
C. 4.26, 9/4, 13/3, 8/2, 5
D. 9/4, 8/2, 4.26, 13/3, 5
A review of data from 18 different studies found that there was a reduction in the risk of type 2 diabetes as people increased their consumption of coffee.
What valid conclusion can be made about the relationship between the consumption of coffee and the risk of type 2 diabetes, based on the results of this review?
A. Studies have evidenced a positive covariance between coffee consumption and risk of type 2 diabetes.
B. Studies have suggested that coffee consumption and risk of type 2 diabetes are uncorrelated.
C. Studies have evidenced a random covariance between coffee consumption and risk of type 2 diabetes.
D. Studies have evidenced a negative covariance between coffee consumption and risk of type 2 diabetes.
In the figure, which pair(s) of labeled angles are equal to each other?
A. angles A1 and A4
B. angles A2 and A3 C. both angle pairs A2 and A3 and A1 and A4
D. angles A4 and A6
The graph shows the number of sunspots and the measurement of a variable that estimates the average global temperature ("the temperature proxy").
Which of the following statements best describes the correlation between these 2 measurements?
A. Sunspots were not correlated with temperature between 8,000 and 6,000 years ago and were negatively correlated with temperature from about 2,000 years ago to the present.
B. Sunspots were not correlated with temperature between 8,000 and 6,000 years ago and were positively correlated with temperature from about 2,000 years ago to the present.
C. Sunspots were negatively correlated with temperature between 8,000 and 6,000 years ago and were negatively correlated with temperature from about 2,000 years ago to the present.
D. Sunspots were negatively correlated with temperature between 8,000 and 6,000 years ago and were positively correlated with temperature from about 2,000 years ago to the present.