Integrated Math I Name: ________________________________________ Period: ______ Date: _______________

CFS: 1. Highlight important information and circle the question/prompt. 2. Do the easy questions first. Circle the hard ones and come back to them later. 3. All work shown on paper OR one sentence justifying the answer you choose.

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CH. 3 SUMMATIVE REVIEW 1. Michael borrows money from his uncle, who is charging him simple interest using the formula 𝐼 = 𝑃𝑟𝑡. To figure out what the interest rate, r, is, Michael rearranges the formula to find 𝑟. His new formula is 𝑟 equals is which of the following? (A.CED.4) A) !!!

!

B) !!!!

C) !!"

D) !"!

2. Which is the best choice for the first step in solving 24𝑥 − 4(𝑥 − 7) = 13?

A) 24𝑥 − 4𝑥 + 28 = 13

B) 24x – 4(x – 7) + 13 = 0

C) 20x(x – 7) = 13

D) 20x – 7 = 1

3. Lily was 6 kilometers from home. She began riding her bicycle home at a speed of 0.25 kilometers per minute. Lily stopped to call a friend when she was 2 kilometers from home. This equation 6− 0.25t = 2 can be solved for t, the total time in minutes Lily spent riding her bicycle. What is the solution to the equation?

A) t = –32 B) t = –16 C) t = 16 D) t = 32

4. Solve the equation 2𝑦 − 3+ 5𝑦 = 𝑦 + 15 for y.

(A) 2 !!

(B) 1 !!

(C) 2

(D) 3

5. Solve for x: 2x+ 4 1− x = −3𝑥 − 3.

(A) −7

(B) −1.4

(C) − !!

(D) 1.4

Integrated Math I Name: ________________________________________ Period: ______ Date: _______________

CFS: 1. Highlight important information and circle the question/prompt. 2. Do the easy questions first. Circle the hard ones and come back to them later. 3. All work shown on paper OR one sentence justifying the answer you choose.

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6. Identify the location of point P under translation 𝑥, 𝑦 → (𝑥 + 5, 𝑦 − 4).

(A) (−6, 7)

(B) (−1, 3)

(C) (4, −1)

(D) (5, −4)

(E) (6, −1)

7. Point T is located at (4,−1). If T is reflected in the 𝑦-axis, it will lie in quadrant….

(A) I

(B) II

(C) III

(D) IV

8. ΔABC, shown at right, is reflected in the line 𝑦 = 𝑥. Which rule below describes this transformation? Use the rule to reflect ΔABC.

(A) 𝑥,𝑦 → (−𝑥,−𝑦) (B) 𝑥,𝑦 → (𝑦, 𝑥) (C) 𝑥,𝑦 → (−𝑦,−𝑥)

9. Look at PQRS on the coordinate grid below. PQRS is rotated 90° counterclockwise about the origin to produce P'Q'R'S'. What are the coordinates of point P'?

(A) (–4,–1)

(B) (–1,–4)

(C) (1,4)

(D) (4,–1)

10. ΔJKL, shown at right, is rotated 90o clockwise about the origin. After the rotation, ΔJ’K’L’ will have vertices in all quadrants except for… (circle all that apply)

(A) Quadrant I

(B) Quadrant II

(C) Quadrant III

(D) Quadrant IV

Integrated Math I Name: ________________________________________ Period: ______ Date: _______________

CFS: 1. Highlight important information and circle the question/prompt. 2. Do the easy questions first. Circle the hard ones and come back to them later. 3. All work shown on paper OR one sentence justifying the answer you choose.

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11. Would re-writing the equation 2𝑡 + 13 = 4𝑡 + 6 to 2𝑡 + 13 = 4𝑡 + 4 + 2 change the value of the solution? Explain why or why not. _______________________________________________

_______________________________________________

_______________________________________________ _______________________________________________

12. Consider the equations shown below. Which equation has a different number of solutions than the other equations? Explain your reasoning. (A-REI.1) 4𝑐 + 2 = 4𝑐 − 1 4𝑐 + 2 = 4𝑐 + 1 4𝑐 + 2 = 4𝑐 − 2 4𝑐 + 2 = 4𝑐 + 2

13. The perimeter of a rectangle is 10 centimeters more than four times the difference between its length and width. Solve the equation 2𝐿 + 2𝑊 = 10+ 4(𝐿 −𝑊) for the variable 𝐿. (A-CED.4)

14. Solve the equation 15− 4(𝑥 − 3) = 5𝑥 + 9

for x. Show your work.

15. ΔLMN, shown below, is reflected such that the points 𝑀′ and 𝑁′ are have the same coordinates as points 𝑀 and 𝑁, respectively. What line was used to reflect the triangle? Justify your answer. _______________________________________________ _______________________________________________ _______________________________________________

Integrated Math I Name: ________________________________________ Period: ______ Date: _______________

CFS: 1. Highlight important information and circle the question/prompt. 2. Do the easy questions first. Circle the hard ones and come back to them later. 3. All work shown on paper OR one sentence justifying the answer you choose.

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16. Δ𝑀𝑁𝑂, shown in the diagram, is to be rotated 90o about the point (−2, 1). (a) Will any of the vertices of Δ𝑀′𝑁′𝑂′ have the same coordinates

as their corresponding vertices of Δ𝑀𝑁𝑂? Explain. _______________________________________________ _______________________________________________ _______________________________________________ (b) Find the coordinates of 𝑀′, 𝑁′, and 𝑂′. _______________________________________________ 17. Give a transformation or sequence of transformations that will map ΔABC onto ΔPQR. Explain why your work in shows that the two triangles are congruent. _______________________________________________

_______________________________________________ _______________________________________________ _______________________________________________ 18. The coordinate plane shows the location of triangle FGH. Triangle FGH is first rotated 90 degrees clockwise about the origin, and then it is reflected across the line 𝑦 = 𝑥 to form F'G'H'. Draw the location of triangle F'G'H' on the coordinate plane.