Test Quiz
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1) The graph below shows the water level in four different ponds over a period of 9 years.
From the graph, the water level of which pond has the greatest change in percentage?
The slope of a line on a graph represents the rate of change. The absolute value of the slope will indicate how quickly the water level in the pond is changing over time. The steepest slope will have the greatest change. Pond 2 has the steepest slope and therefore greatest percentage change.
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2) then
The operation in calls for you to substitute 2 for x in the expression.
Therefore, The value of is 10.
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3) The sum of three consecutive odd numbers is 171. What is the largest number?
The sum of three consecutive odd numbers is 171.
Let x be the smallest odd number, then the next two consecutive odd would be x + 2 and x + 4.
Solving for x :
(Combining like terms)
(Subtracting 6 from both sides)
(Dividing both sides by 3)
The smallest odd number is 55. The next two odd numbers would be to add 2 to 55 which gives 57 and to add 4 to 55 which gives 59.
The largest of the three consecutive odd numbers is 59.
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4) The average test score of three students in a class is 81 percentage points. If one student’s score goes up by 2 percentage points, one student’s score goes up by 4 percentage points, and the other student’s score remains the same, what will the new average test score be?
The average test score of three students in a class is 81 percentage points. The aggregate percentage points would be percentage points.
If one student’s score goes up by 2 percentage points, one student’s score goes up by 4 percentage points, then the aggregate increases by 6 points to 249 percentage points.
The new average will be given by percentages points.
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5) A squirrel ate an average of x acorns per day for x days. After those x days, the squirrel ate an average of y acorns per day for y days. What was the average number of acorns eaten by the squirrel per day during that entire time period?
The total number of acorns eaten by the squirrel in x days would be .
The total number of acorns eaten by the squirrel in y days would be .
The total acorn eaten over the entire time period would be .
The average acorn eaten for the entire period of (x + y) days would be sum over count.
So, the average =
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6) In Figure 1, EFGH is a square. What is the area of the UNSHADED region?
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7) A safari company offers group tours that cost $100 for two people and $20 more for each additional person. If five people share the cost of the tour equally, how much does each person pay?
The cost of the tour for 5 persons would be $100 for the first two-plus $20 each for the additional three persons.
Cost of the tour for 5 = dollars.
If the 5 persons share the cost equally then each persons share would be given by dollars.
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8) If Figure 2 is a rectangle, then what is the value of x?
The total internal angles of a quadrilateral sum to 360 degrees. All four angles are equal and are right angles in a rectangle, meaning each angle measures 90 degrees.
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9) There were 17 sunny days this year, which was 18 fewer than last year. Two years ago, there were three times as many sunny days as there were this year. How many total sunny days were there in all three years?
This year there were 17 sunny days.
Last year had 18 more sunny days than this year since the question said that this year has 18 fewer than last year. Last year had sunny days
Two years ago had three times as much as this year :
The total sunny days for all three days would be sunny days.
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10) What is the slope of the line ?
Arranging the equation in slope-intercept form : , we can identify the slope, m which is the coefficient of the x term.
(Adding 24 to both sides)
(Dividing each term by the coefficient of the y term, 4.)
The slope of this line is
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11) Lisa counted the number of people canoeing on a river depending on the day’s temperature on 15 separate occasions. The scatter plot below represents the data she collected. According to this information, approximately what temperature would you expect it to be if 4 people are canoeing on the river?
From the scatterplot, the number of people canoeing on the river is given on the vertical axis. 2 temperature points, 60 and 70, match with 4. So, approximately the temperature you would expect to see 4 four people canoeing on the river is .
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12) 498.57 =
For 498.57, the 5 is in the tenth-place value position and the 7 is in the hundredth-place value position.
5 tenths =
7 hundredths =
So 498.57 =
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13) If two times x is greater than 7, then which of the following numbers could NOT be a value of x?
Writing an expression for two times x is greater than 7 we get 2x > 7.
Solving for x, by dividing both sides by 2:
Therefore x must be greater than but not equal. So the value of x could not be .
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14) Lucy is ordering some books online. There is a flat shipping fee for the first book she orders, and an additional charge for every extra book. This is represented by the formula , where y is the total shipping cost and x is the total number of books ordered. What is the meaning of 0.75 in this formula?
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15) The bar graph below shows the amount of money raised by three different sports teams during a fundraising event with four quarters.
Over all four quarters, the total funds raised by the basketball team were approximately what fraction of the total funds raised by the hockey team?
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16) Emily is eating her colored candies in the following pattern: one green, one blue, one red, one orange, one brown, one green, one blue, and so on. If this pattern continues, the 27th candy she eats will be what color?
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