Font size
WorksheetsHHS IM1 Diagnostic
Total questions: 35
Worksheet time: 40mins
Name the transformation shown here.
reflection
rotation
translation
dilation
Which system of equations is represented by the graph?
y - 4x = -1
y + x = 4
y - 4x = 1
y + x = 4
y = 4x + 1
y = x + 4
-y - 4x = 1
y - 4 = x
ΔABC is the pre-image and is reflected over the line. Choose all the true statements.
The reflecting line is a perpendicular bisector to AB.
False
ΔABC ≅ ΔDEF
True
∠A ≅ ∠D
True
DF ≅ AB
False
Which terms describe this transformation?
Dilation
Translation
Rotation
Reflection
The data points on the graph show the miles Kenneth biked and the time he spent biking each week. What type of relationship exists between the miles and the time spent biking?
no association
negative association
positive association
nonlinear association
Evaluate. (5⁴b²) / (5³b²)
5⁷b
5
1⁷b
5²
√38 is between which pair of numbers?
A) 7 and 8
B) 6 and 7
C) 4 and 5
D) 5 and 6
Simplify. 9.69×106−7.5×106
2.19×106
21.9×106
219×105
2.19×105
Express ∛64 as a rational number.
4
5
6
8
Choose both the value of m and the number of solutions. 7m + 2 − m = 10 + 5m − 4
(a) (b)
m = 26
What is the equation of a line that passes through points (1, 3) and (−2, 5)?
y = 2x + 11
y = −3x − 3
y = (2/3)x − 11/3
y = −(2/3)x + 11/3
What is the equation of a line that passes through (−1, 4) with a slope of 2?
y = 2x − 16
y = 2x + 6
y = −2x − 8
y = −2x + 4
Reflect △KLM over the y-axis. Graph the coordinates of L' and M'.
Rotate ΔEFG 90° counterclockwise about the origin, and then translate it 4 units left. Complete the table with the coordinates of E'' and F''.
Dilate the image of □JKLM with a scale factor of 3. Complete the table with the coordinates of K' and M'.
K' (3,0), M' (0,6)
K' (0,3), M' (6,0)
K' (4,4), M' (1,6)
K' (12,1), M' (9,1)
Translate Δxyz 2 units down and 2 units to the left. Complete the table with the new vertices of x'y'z'.
(0,-4)
(3,-4)
(3,-6)
(4,-4)
(7,-4)
(7,-6)
Which graph shows a reflection of the pre-image over the y-axis?
(Graph A)
(Graph B)
(Graph C)
(Graph D)
How many degrees would this octagon need to be rotated, clockwise around its center, to get point A to point B?
180°
160°
45°
90°
Elijah has a shoe box filled with baseball cards and bouncy balls. There is a total of sixty-three items. He has 2 times more cards than balls. How many baseball cards and bouncy balls does Elijah have? Choose both the number of baseball cards (c) and the number of bouncy balls (b).
(a) (b)
c = 51
Which statement correctly describes the solution to this system of equations?
2x+y=9
3x−y=16
(a)
On a coordinate grid, point A is located at (−2, −1) and point B is located at (1, −5). What is the distance from A to B, in units?
4
7
5
9
Find the measure of ∠x in these similar triangles.
45°
16°
58°
71°
Ankou has a box full of baseball cards and toy cars. He pairs up the cards and cars and finds he has eight more toy cars than baseball cards. He has a total of 56 items in the box. How many baseball cards does he have? Are these statements true or false about the scenario?
One linear equation for the system is b + 8t = 56
The system has no solution
There are 34 baseball cards
25. Solve. (x/3) = -9 x = ____________
Lines l and m are parallel.
Complete the table with the measure of angles c and d.
Which equation is the best approximation of the trend line?
y = 0.02x + 12
y = 50x - 600
y = -50x + 50
y = 50x + 500
A group of 79 band members and cheerleaders went to the football game. Some went home in a car and some went home on the bus. The data is indicated in the partially complete two-way table. Using the given results, complete the two-way table. Fill in the blanks in the table.
Consider these functions. Are these statements true or false about the functions?
The functions share the same rate of change.
The algebraic expression that represents Function A is y = 4x - 12.
Function B is increasing at a faster rate than Function A.
The table shows the 2018 population in three large cities around the world. List the cities in order from greatest to least population.
A. Mumbai, Los Angeles, Jerusalem
B. Jerusalem, Los Angeles, Mumbai
C. Jerusalem, Mumbai, Los Angeles
D. Los Angeles, Mumbai, Jerusalem
Gerry has a garden with 10 tomatoes on the vine. Every week, 4 new tomatoes grow on the vine. Gerry writes an accurate equation to describe the number of tomatoes grown. Choose all the statements that could be Gerry’s.
The slope is 6.
The slope-intercept form is t = 4w + 10.
The y-intercept is 10.
The x-intercept is 2.
The table shows the number of miles walked per hour. What was the rate of change per hour?
4
8
6
1/2
Andrew wants to fill his sugar cone with as much ice cream as possible. The height of the cone is 12 cm and the radius is 5 cm. Find the volume of the cone. Use 3.14 for π. Round the answer to the nearest hundredth.
314.00 cm³
188.40 cm³
942.00 cm³
157.00 cm³
For a class project, the students are making mini 3-D globes filled with clay. To help the teacher determine how much clay is needed per student, find the volume of a globe with a diameter of 6 inches. Find the volume of the sphere. Use 3.14 for π. Round the answer to the nearest hundredth.
113.04 in³
56.52 in³
452.16 in³
150.72 in³
Manny must deliver pizza to a house. If he could drive in a straight line from the restaurant to the house, he would travel exactly 5 miles southeast. Since there is no direct road, he must travel 3 miles due south, and then turn left and travel east. How far will Manny travel east?
4 miles
2 miles
5 miles
3 miles
Sahara spent 220 on 6 items for her soccer season. She purchased some soccer balls thatcost 25 dolars each and jerseys that cost $60 each. Use a system of equations to identify how many soccer balls (b) and jerseys (j) Sahara bought.
b = 4, j = 2
b = 2, j = 4
b = 3, j = 3
b = 5, j = 1
