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WorksheetsSemester Exam Review
Total questions: 70
Worksheet time: 1hrs 6mins
Which of the following sets of numbers can form the sides of a right triangle?
7, 11, 15
8, 15, 17
9, 40, 41
12, 35, 37
What is the Pythagorean Theorem used to determine?
The area of a triangle
The perimeter of a triangle
Whether a triangle is a right triangle
The volume of a triangle
Which of the following sets of numbers does NOT form a right triangle?
7, 11, 15
8, 15, 17
9, 40, 41
12, 35, 37
What is the length of the hypotenuse of a right triangle with legs measuring 5 cm and 5 cm?
5 cm
7 cm
7.07 cm
6 cm
What is the length of the hypotenuse of a right triangle with legs measuring 14 ft and 13 ft?
19.1 ft
18.44 ft
20 ft
17 ft
What is the length of the hypotenuse of a right triangle with legs measuring 45 cm and 50 cm?
67.27 cm
60 cm
70 cm
65.5 cm
What is the length of the hypotenuse of a right triangle with legs measuring 11 in and 12 in?
15 in
16.28 in
14 in
13 in
What is the length of the hypotenuse of a right triangle with legs measuring 2.5 ft and 2.5 ft?
3.54 ft
4 ft
3 ft
2.5 ft
What is the length of the hypotenuse of a right triangle with legs measuring 14 cm and 22 cm?
26.08 cm
25.55 cm
27 cm
24 cm
Based on the figures, what are the measures of x, y, and z in degrees? The figures shown each have a set of parallel lines intersected by a transversal.
x = 30°, y = 150°, z = 60°
x = 120°, y = 60°, z = 60°
x = 45°, y = 135°, z = 45°
x = 90°, y = 90°, z = 90°
Fill in the blank with the following words from the word bank: LEG, LEG, HYPOTENUSE. A triangle diagram with sides labeled A, B, and C.
A = LEG, B = LEG, C = HYPOTENUSE
A = HYPOTENUSE, B = LEG, C = LEG
A = LEG, B = HYPOTENUSE, C = LEG
A = LEG, B = LEG, C = LEG
Paula completely covered a small square wall using 87.5 ft² of wallpaper without any overlap. Which measurement is closest to the side length of this wall in feet?
22 ft
44 ft
9 ft
7 ft
Click on the correct circle in the diagram that classifies the number √25 correctly.
Rational numbers
Integers
Whole numbers
Irrational numbers
The density of oxygen is 0.001429 grams per cubic centimeter. What is this number written in scientific notation?
1.429 x 10³
1.429 x 10²
1.429 x 10⁻³
1.429 x 10⁻²
Order the set of numbers {√5, -√6, 1/2, -3} from least to greatest.
-3, -√6, 1/2, √5
-3, -√6, √5, 1/2
-√6, √5, 1/2, -3
-3, √5, 1/2, -√6
Which value of x makes the inequality 1/4 < x < 34% true?
√17
1/3
0.5
33
Place the following numbers in order from least to greatest: √38, -6.35, 63%, 19/3.
-6.35, 63%, √38, 19/3
-6.35, √38, 63%, 19/3
-6.35, 19/3, 63%, √38
-6.35, √38, 19/3, 63%
There are an average number of 31,000 parts on a car. What is the value of the exponent when this number is written in scientific notation?
3
4
5
6
The average amount of charge different brands of phones use in an hour are shown in the table. List the phones in increasing order according to their average charge lost per hour.
Nokia, LG, iPhone, Samsung
LG, Nokia, Samsung, iPhone
Samsung, LG, Nokia, iPhone
LG, Samsung, Nokia, iPhone
Which list shows the numbers in order from least to greatest: -4/3, -0.43, √3, 5/2?
-4/3, -0.43, √3, 5/2
-0.43, -4/3, √3, 5/2
-4/3, -0.43, 5/2, √3
5/2, √3, -0.43, -4/3
Which number has a value greater than π? Select TWO correct answers.
8/3
3.14
23/7
√9
√10
Which number could be the missing number in the list ordered from least to greatest: 18/5, 3.71, ____, √17?
4.5
3.8%
57/15
(3.9)²
Which list shows the numbers in order from greatest value to least value?
839 , 4.84 , 24
24 , 839 , 4.84
839 , 24 , 4.84
Which rule best represents the dilation that was applied to Figure S to create Figure T?
(x, y) to (2x, 2y)
(x, y) to (4x, 4y)
(x,y)→(21x,21y)
(x,y)→(41x,41y)
Which rule best represents the dilation that has been applied to triangle JKL to create triangle J'K'L'? Triangle JKL is dilated with the origin as the center of dilation to create triangle J'K'L'.
(x, y) → (x + 6, y − 3)
(x, y) → (x + 4.5, y + 3)
(x, y) → (1/2x, 1/2y)
(x, y) → (7/4x, 7/4y)
Which proportion must be true for the similar quadrilaterals PQRT and KLMN? Quadrilateral PQRT and quadrilateral KLMN are similar.
x/9 = 4.28/8.91
x/8.91 = 4.12/9
y/4.28 = 9/3
y/4.12 = 9/3
The table shows the coordinates of the vertices of pentagon ABCDE. Pentagon ABCDE is dilated by a scale factor of 7/3 with the origin as the center of dilation to create pentagon A'B'C'D'E'. If (x, y) represents the location of any point on pentagon ABCDE, which ordered pair represents the location of the corresponding point on pentagon A'B'C'D'E'?
(3/7x, 3/7y)
(x + 3/7, y + 3/7)
(x + 7/3, y + 7/3)
(7/3x, 7/3y)
Which proportion must be true for the similar triangles ABC and DEF?
x7=64
64=7x
46=7x
x4=67
Which rule best represents the dilation that was applied to quadrilateral FGHJ to create quadrilateral FGH'J'?
(x,y)→(75x,75y)
(x, y) to (x + 1, y + 2)
(x, y) to (1.4x, 1.4y)
(x, y) to (x - 2, y + 1)
Pentagon MNPQR is shown on the coordinate grid. Pentagon MNPQR is dilated with the origin as the center of dilation using the rule (x,y) to (1/4x,1/4y) to create pentagon M'N'P'Q'R'. Which statement is true?
Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is greater than 1.
Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is less than 1.
Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is greater than 1.
Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is less than 1.
Quadrilateral KLMN is similar to quadrilateral TUVW. Which proportion must be true based on the given side lengths?
y/15 = 22.5/28
y/28 = 5/22.5
20/30 = 5/x
15/20 = x/30
Is the transformation shown in the diagram an enlargement or a reduction?
Enlargement
Reduction
Reflection
Translation
What is the scale factor of the transformation shown in the diagram?
2
1/2
3
1/3
How can you write the rule for the transformation algebraically?
Multiply each coordinate by 2
Multiply each coordinate by 1/2
Add 2 to each coordinate
Subtract 2 from each coordinate
Karla purchased 16 bottles of bleach for $28. Which two statements are true?
To find unit rate you multiply
To find unit rate you divide
Each bottle costs $1.75
Each bottle costs $0.57
According to the graph, how much was each lunch?
$44 per lunch
$0.44 per lunch
$1 per lunch
$2.25 per lunch
Leon pays a total of $16.50 for every 6 shirts he has dry-cleaned. What is the rate for each shirt?
$2.75
$0.36
$4.13
$16.50
Which two statements are true about the graph?
The slope is positive
The slope is negative
The slope is -2.5
The slope is 0.4
Which statement best describes the rate of change (slope) for the situation where an aquarium is being filled with water?
The height of the water increases 10 inches per second.
The height of the water increases 1 inch per second.
The height of the water increases 2 inches per second.
The height of the water increases 3.5 inches per second.
What is the y-intercept of the graph?
5
-5
-2
2
What is the rate of change (slope) for the table below, where the cost of one download is $2.50, and the cost increases for each additional download?
$1.00
$1.50
$2.00
$0.50
Which of the following characteristics makes a relationship proportional?
Goes through (0,0) and has no y-intercept
Has a y-intercept but does not go through (0,0)
Does not go through (0,0) and has a y-intercept
Goes through (0,0) and has a y-intercept
Melissa is saving $25 that she earned for washing her mom’s car. She earns $10 every week for doing chores, which she also saves. Which function can be used to find t, the amount of money Melissa will have saved at the end of n weeks of doing chores?
t = 35n
t = 15n
t = 25n + 10
t = 10n + 25
A company is drilling a water well. The graph models the linear relationship between the depth of the well and the time spent drilling. Which function best represents the relationship between y and x?
y = 6x
y = 30x
y = 5x + 30
y = 6x + 30
Mr. Leonard is renting a car for one day. The table below shows the total amount he will be charged for the car based on the number of miles he drives. Which equation best represents c, the number of dollars Mr. Leonard should be charged for driving m miles?
c = 0.10m + 30
c = 30m + 0.10
c = 0.50m + 30
c = 30m + 0.50
Which function is best represented by the graph below?
y = 1/4x - 2
y = 4x - 2
y = -1/4x + 2
y = 1/2x - 2
A water tank currently contains 275 gallons of water. The amount of water in the tank will decrease at a constant rate of 15 gallons per week. Which function can be used to find t, the total number of gallons of water in the tank after w weeks?
t = 15w - 275
t = 275w - 15
t = -15w + 275
t = -275w + 15
The ticket sales for a concert started at 4:00 P.M. The table shows the linear relationship between the number of tickets remaining and the number of hours since 4:00 P.M. Which function can be used to find y, the number of tickets remaining x hours since 4:00 P.M.?
y = 3000x + 12000
y = 3000x + 15000
y = -3000x + 12000
y = -3000x + 15000
What is the equation that describes the relationship between x and y in the given graph?
y = 3x + 6
y = 3x - 6
y = -3x + 6
y = -3x - 6
What are the slope and the y-intercept of the line shown in the second graph?
Slope = -3, y-intercept = 1
Slope = -1/3, y-intercept = 1
Slope = -3, y-intercept = 3
Slope = 1/3, y-intercept = -1
Dillon can bike 6 miles in 0.5 hour. Which line has a slope that best represents Dillon's speed in miles per hour?
Graph T
Graph H
Graph G
Graph L
Which is a true statement about the slopes of MO and OQ?
The slopes are equal because (6 - 3) / (6 - 0) = (8 - 6) / (10 - 6).
The slopes are equal because (6 - 0) / (3 - 6) = (10 - 6) / (6 - 8).
The slope of OQ is greater than the slope of MO.
The slope of MO is greater than the slope of OQ.
Given the following equation represents a line with a positive slope and a negative y-intercept, which equation is correct?
y = -5x - 8
y = (1/4)x + 7
y = 3.5x
y = 7.5x - 2
The total cost for a company to make a product includes fixed costs of $3,050 plus $15.25 per product. Which function can be used to find c, the total cost in dollars to make p products?
c = 200p + 3,050
c = 15.25p + 200
c = 3,050p + 15.25
c = 15.25p + 3,050
Which function best represents the relationship between y and x in the graph?
y = 6x
y = 30x
y = 5x + 30
y = 6x + 30
What is the rate of change demonstrated in the graph provided?
4.5 miles per hour
3 miles per hour
6 miles per hour
2 miles per hour
Which rule represents the dilation that was applied to triangle MNP to create triangle M'N'P'?
(x, y) → (2/5x, 2/5y)
(x, y) → (5/2x, 5/2y)
(x, y) → (6x, 6y)
(x, y) → (1/6x, 1/6y)
Which of the following statements is incorrect?
14 < √210 < 15
9 < √90 < 10
5 < √37 < 6
1 < √2 < 2
What is the equation that represents the relationship shown on the graph?
y = 3/2x + 6
y = -2/3x + 6
y = 3/2x - 4
y = -3/2x + 6
A
B
C
D
What is the value of 3x + 4 = 5x-12
-4
4
-8
8
The measures of two angles are (5x-1) and (3x-9). If these two angles are congruent what is the value of x?
-4
-10
8
4
6x=2(7x+3)
x=−43
x=−1 31
x=−23
x=1
Joe’s Catering Company charges a $45 set-up fee plus $12.50 per person. Jimmy’s catering company charges a $75 set up fee plus $7.50 per person. Which inequality could be used to determine x, the number of people for which Joe’s Catering Company would be less expensive than Jimmy’s catering company?
45 + 12.5x > 75 + 7.5x
45 + 12.5x ≥ 75 + 7.5x
45 + 12.5x < 75 + 7.5x
45 + 12.5x ≤ 75 + 7.5x
