Math 1 Final Exam 2018 v2 - Lexington Public Schools...Math 1 Final Exam 2018 13. Use the picture below to answer each question. a. Mark the picture using the following given information:

Name: ________________________________ Teacher: Block:

Lexington High School CP2 Math 1 Final Exam

Tuesday June 19, 2019

11:30 am – 1:00 pm

General Directions: Read each problem carefully and answer all parts of each question. Show your work in the space provided. If you need extra space, label the extra page with your name and problem number. Each page will be weighted equally. Extra time: Extra time will be allowed for students who have that accommodation in their 504 or IEP. Extra time will be completed starting at 1:00 pm and continue until the exam complete or extra time runs out as specified in the plan. Resources: You may use the pencils, graph paper, grids, t-chart paper, rulers, and/or colored pencils at the front of the room during the test. Any additional paper used needs to be turned in at the end of the exam. Calculators are allowed. You must have your own calculator. You are not allowed to share with another student, even if they are done with their exam.

Good luck!

Math 1 Final Exam 2018

Use the graphs of lines A and B to answer questions 1-6.

1. The slope of line B is _______________.

a. Positive c. Zero

b. Undefined d. Negative

2. The y-intercept of line A is _______________.

a. (2, 0) c. (0, 4)

b. (0, -4) d. (6, 0)

3. The x-intercept of line B is _______________.

a. (2, 0) c. (0, 4)

b. (0, -4) d. (6, 0)

4. Write an equation for line B.

5. What is the slope of line A?

6. On the grid above, graph a line that is parallel to line A and that contains (-2, 1).

7. Give a point that is a solution to the equations of both line A and of line B.

A B


8. Josephine is collecting seashells at the beach. Right now, there

are 12 shells in her bucket. Each minute, she collects 3 more shells.

a. Make a table to show how many minutes have gone by, (x), and

how many shells Josephine has in her bucket (y).

x y

b. Is this situation linear, exponential, or neither? Give a reason for your answer.

c. Write an equation to represent this situation. Let x = time in minutes and y = number of shells in Josephine’s bucket.

d. Josephine wants to fill a glass bowl with her seashells. She needs 150 shells to do this. How long will it take her to collect 150 shells? Show your work.


9. Simplify each expression to determine if it is equal to 𝑥!. Then, circle “yes” or “no” for each problem.

a.

𝑥!𝑥! Equal to 𝑥!? Yes or No

b. 𝑥!!

𝑥! Equal to 𝑥!? Yes or No

c. 1𝑥!!

Equal to 𝑥!? Yes or No

d. 𝑦!

𝑥!𝑦!

Equal to 𝑥!? Yes or No

e. 2𝑥! !

Equal to 𝑥!? Yes or N0

f. 1𝑥! ∙ 𝑥

!! Equal to 𝑥!? Yes or No

10. Place the numbers below in order least to greatest:

7 × 10!!, 4 × 10!, -4.3 × 10!, 5.2 × 10!!

__________________ __________________ _________________ __________________ least greatest


11. Match each graph with its equation. Write the letter of the equation on the line underneath the graph. Use each equation only once - not all equations will be used. (hint: you may want to use t-chart paper to help you)

Equations:

A 𝑦 = 𝑥 + 1

B 𝑦 = 2𝑥 − 3

C 𝑦 = 𝑥 + 1 !

D 𝑦 = 𝑥 + 1

E 𝑦 = 𝑥 + 3 − 2

F 𝑦 + 2 = (𝑥 − 1)!

Graphs: a.

equation:_______________

Explain how you know:

b.

equation:_______________

Explain how you know:


12. Use the appropriate equation, graph, or table to answer each question.

Equation of 𝒇(𝒙)

𝑓(𝑥) = −2(𝑥 + 3)+ 5

Graph of 𝒈(𝒙)

Table of 𝒉(𝒙)

x ℎ(𝑥)

-5 -8 -3 2 0 -8 1 -10 3 0

a. 𝑔(−2) = _________________ b. ℎ(1) = ___________________ c. If ℎ(𝑥) = 0, what is x? x = __________________ d. 𝑓(−4) = ___________________ (you must show work for this problem) e. What is the domain of 𝑔(𝑥)?


13. Use the picture below to answer each question. a. Mark the picture using the following given information:

• ∠B and ∠C are right angles.

• E is the midpoint of BC

• ∠AEB ≅ ∠DEC

b. The two triangles are congruent (based on the given information in part a). What

is the reason they are congruent? Circle your answer.

SAS ASA AAS SSS

c. Write a congruence statement that says the two triangles are congruent.


14. Lindsay went for a nature walk. It took her 80 minutes to walk a 2 mile trail. Then, Lindsay rested for 30 minutes to eat lunch. To go back to her car, she took a different trail that was 4 miles long. She walked this part at a pace of 2 miles per hour. (1 hour = 60 minutes)

a. Use the story to make an accurate graph of Lindsay’s total distance walked on the

grid provided below:

b. During which times was Lindsay hiking the fastest? Explain how you know.

Time (minutes)

Tota

l dist

ance

wal

ked

(mile

s)


15. Use the expression to answer each question.

−4(2𝑥 + 8)+15 (10𝑥 − 5)

a. Simplify the expression. Circle your final answer.

b. Evaluate your simplified expression for 𝑥 = −3. Show your work.


16. Solve the system of equations using substitution or elimination. Write your final answer in the spaces provided.

𝑥 − 2𝑦 = −1 −4𝑥 + 2𝑦 = 10

Solution: x = _____________________ y = _____________________


17. Below is a stem and leaf graph representing the ages of the first 30 people going to the city pool on July 5th last year.

Stem Leaf

0 1 2 4 4 5 5 6 8 8 9 1 2 2 5 6 2 4 4 5 5 9 3 2 3 3 8 4 0 0 1 5 1 3 6 6 7 2

Key: 1 | 2 = 12

a. Complete the 5-number summary for this data. Min: _______________ Q1: _______________ Med: _______________ Q3: _______________ Max: _______________ b. Create a box and whiskers plot for the pool data. Label the scale.

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Math 1 Final Exam 2018 v2 - Lexington Public Schools...Math 1 Final Exam 2018 13. Use the picture below to answer each question. a. Mark the picture using the following given information: