Advanced Math 7: Midterm Exam Reviewmacomb.k12.mi.us/Utica/Eppler/media/12-13 Mid-Term Review Guides... · Adv. Math 7 Midterm Review p1 ADVANCED MATH 7 MIDTERM EXAM REVIEW Identify

Advanced Math 7: Midterm Exam Review

Course 3 Book

pg 49 #1-6 and #16-27

pg 71 #13-15 and #22

pg 76-77 #17-28, #36, #38, #43

pg 104 #1-15

pg 125 #12-20

pg 131 #1-3

Read pg 134-135

pg 139-140 #1-12 and #28-29

pg 153 #1-9

pg 166 #10-15

pg 193 #27-36

pg 223-224 #9-16 and #21-30

pg 228 #1-4

pg 229 #15-17

pg 262 #30-31

pg 268 #5-8

pg 270 #24

pg 274 #9-14

pg 284 #9 and #11

pg 294 #12-17

pg 379 #15-22

Algebra I Book

pg 307 #31-35

pg 343 #19-22

pg 365 #1-2

pg 373 #7-10

pg 587 #1-6

pg 594 #1-6

Adv. Math 7 Midterm Review p1

ADVANCED MATH 7 MIDTERM EXAM REVIEW

Identify the choice that best completes the statement or answers the question.

____ 1. Use mental math and the Distributive Property to simplify.

a. 5,120 b. 1,370 c. 590 d. 80

Write the decimal as a mixed number or fraction in simplest form.

____ 2. 0.

a.

b.

c.

d.

Write and solve an equation for number 3 and 4.

____ 3. You withdrew $100 from the ATM machine. The new balance is $372. What was the original balance b of

your account?

a. c.

b. d.

____ 4. Alexa scored 87 on her history test. The test had a multiple-choice section and a short-answer section. Alexa

got 74 points on the multiple-choice section. How many points p did she receive on the short-answer section?

a. c.

b. d.

3

171

4

5

2

11

9

50

Name ___________________________

Date ______________________ Hr ___


O 2 4–2–4 x

2

4

–2

–4

y

O 2 4–2–4 x

2

4

–2

–4

y

O 2 4–2–4 x

2

4

–2

–4

y

O 2 4–2–4 x

2

4

–2

–4

y

____ 5. Graph by using the x- and y-intercepts.

a. c.

b. d.


____ 6. The data in the table are linear. Use the table to find the slope. Then graph the data and the line.

x 0 2 4 6

y –5 –2 1 4

a. ;

c. ;

b. ;

d. ;

2

3

O 4 8–4–8 x

4

8

–4

–8

y

2

3

O 4 8–4–8 x

4

8

–4

–8

y

3

2

O 4 8–4–8 x

4

8

–4

–8

y

3

2

O 4 8–4–8 x

4

8

–4

–8

y


Is the relationship shown by the data linear? If so, model the data with an equation.

____ 7.

x y

–9 –2

–5 –7

–1 –12

3 –17

____ 8.

x y

3 1

7 2

11 3

18 5

____ 9.Does the figure have reflectional symmetry? Draw the lines of symmetry.

Write no reflectional symmetry where applicable.

a. The relationship is linear; y + 2 = (x + 9).

b. The relationship is linear; y + 9 = (x + 2).

c. The relationship is not linear.

d. The relationship is linear; y + 2 = (x + 9).

a. The relationship is not linear.

b. The relationship is linear; .

c. The relationship is linear; .

d. The relationship is linear; .

4

5

4

5

5

4


____ 10. Which of the following is an example of the Distributive Property?

a. c.

b. d.

11. Simplify the expression.

12. Identify the number as rational or irrational and explain why. 1.875

13. Solve the inequality and graph.

14. The table below shows some values of x and y, where x is directly proportional to y.

What are the values of C and T?

x y

5 10

8 C

13 26

T 34

15.


16. The Nelson Widget Company’s revenue has decreased over several months, and this is

shown in the graph below.

About how much money has been lost in revenue for each month during the

7-month period shown?

A $25,000 B $50,000 C $100,000 D $350,000

17. Which of these equations is directly proportional? Explain your answer.

y = 6x y = 12x + 9

y

x 0 1 2 3 4 5 6 7

$100

$200

$300

$400

$500

$600

$700

Number of Months

Pro

fit

(in

th

ou

san

ds)

Business Revenue


18. Bob and Susie went to pick the cheapest cell phone plan. One plan costs $40 per month plus 10

cents per minute. The other plan costs $60 per month, calls only cost 5 cents per minute.

Part 1. Decide what variables you will use to figure out how much each plan will cost for different

numbers of minutes. Then write equations to represent both phone plans, using the variables you

chose.

Part 2. Use the equations to calculate how much each plan will cost for 200 minutes and 500

minutes.

Part 3. Then graph the equations to determine the number of minutes you can talk where each plan

costs the same amount.


20. Which of the following is the solution set of 20 > -4x + 8 ?

A. -3 > x B. x > 7 C. 7 > x D. x > -3

19. Which of the following is the best graph of y = –

2x ?

21. Graph the following inequalities. Shade the region where the solutions sets for each graph

overlap.

y > x + 3

y < -2x + 7


22. You can sell rabbits for $5 and ducks for $4 at the local farmers market. You need to make

$40 to cover your overhead. What possible combinations of each could you bring to the market

to cover your overhead? Explain your reasoning using graphs and equations in your explanation.

23. Your school sold 456 tickets for a school play. An adult ticket cost $3.50 and a student

ticket cost $1. Total ticket sales were $1131. How many adult tickets and how many student

tickets were sold?

Let x = ________________________ Let y=___________________________

24. Which type of number is the square root of 5

A. integer

B. rational Number

C. irrational Number

D. whole Number


25. Approximately where is the point for the square root of 2 on the number line.

A. A B. B C. C D. D

26. If the volume of a cube is 9, estimate the length of the side.

27. Find the length of a side of a square whose area is 25.

28. If the volume of a cube is 343 cubic cm, what is the length of a side of the cube?

29. What is 50 equal to?

30. What number is equivalent to 7-1

?

31. What is 4-3

equal to?


32. If triangle DEF is similar to triangle ABC, what is the measure of A?

33. Based on what is shown, which statement best explains why the two triangles are similar?

A The ratios of all pairs of corresponding sides are equal.

B Corresponding angles of the triangles are congruent.

C The ratios of two pairs of corresponding sides are equal and included angles are congruent.

D Three sides of one triangle have the same lengths as the three sides of the other triangle.

75

45 60

A

C B

D

E F

46 cm

13 cm 24 cm

23 cm

26 cm 48 cm


14

5c

34. Are the two figures similar? If so, explain why? SSS, SAS, or ASA?

35. The triangles below are similar. The area of the smaller triangle is given.

What is the area of the larger triangle?

____ 36. Find the length of the missing side. If necessary, round to the nearest tenth.

a. 361 b. 19 c. 38 d. 14.9


____ 37. Find the perimeter of the triangle. Round to the nearest tenth. √( ) ( )

a. 9.1 b. 18.3 c. 18.6 d. 17.8

____ 38. Find the perimeter of a right triangle with legs of 20 cm and 21 cm.

a. 882 cm b. 82 cm c. 70 cm d. 47 cm

Use dimensional analysis to find an equal rate. Round to the nearest hundredth, if necessary.

____ 39. A train traveled a distance of 255 kilometers. If the trip took 4 hours, what was the train’s

average speed in meters per second? Give your answer to the nearest whole unit.

a. 6 m/s b. 106 m/s c. 230 m/s d. 18 m/s

____ 40. A dozen apples costs $2.55. At this rate, how much would 8 apples cost?

a. $20.40 b. $3.83 c. $0.21 d. $1.70

____ 41. Sarah’s mother has a miniature village modeled after her home town. The model is 10 feet long

and 7 feet wide. The actual village is 7 miles long. What is the village’s actual width? If necessary,

round to the nearest tenth of a mile.

a. 4.9 miles b. 10 miles c. 1 miles d. 0.7 miles

(–2, 2)

(2, 1)

(–4, –4)

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y


42. and are similar. Find the values of x and y.

a. x = 7, y = 12 b. x = 21, y = 12 c. x = 14, y = 18 d. x = 7, y = 18

____ 43. A building casts a shadow 100 m long. At the same time, a nearby pole 4 m high casts

a shadow 8 m long. What is the height of the building? Round your answer to the nearest tenth,

if necessary.

a. 200 m b. 0.5 m c. 50 m d. 800 m

____ 44. Population density is the number of people per unit of area. What is the population density of

a state that has 1,862,460 people in 1,230 square miles? Round to the nearest whole number.

a. 1,514 people per square mile c. 151 people per square mile

b. 14,832 people per square mile d. 1,479 people per square mile


____ 45. The dashed figure is a dilation of the original figure. Find the scale factor. Classify the dilation

as an enlargement or a reduction.

a. scale factor , reduction c. scale factor 3, enlargement

b. scale factor 4, enlargement d. scale factor , reduction

Documents

Advanced Math 7: Midterm Exam Reviewmacomb.k12.mi.us/Utica/Eppler/media/12-13 Mid-Term Review Guides... · Adv. Math 7 Midterm Review p1 ADVANCED MATH 7 MIDTERM EXAM REVIEW Identify