Free Printable Math 1 Final Review 2019

Worksheets

Math 1 Final Review 2019

Total questions: 45

Worksheet time: 4hrs 47mins

Name

Class

Date

-11 + 3(b + 5) = 7

-1

-3

Bob has $150 in his savings account and saves $40 per month. Which equation represents the amount Bob has in his account after x months?

y = 150 + 40

y = 40x + 150

y = 150x + 40

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

3 hours

4 hours

1 hour

2 hours

The following scatter plot shows Pam's training as she prepares to run a 6 mile race at the end of the month. Which of the following would be a reasonable approximation for the length of time it would take for her to run 6 miles?

A. 50 min

B. 80 min

C. 45 min

D. 60 min

The graph below shows the temperature of cooling water after it has been taken off a stove. What is the approximate temperature after 4 minutes?

70 degrees

75 degrees

80 degrees

85 degrees

Which graph correctly displays the solution to the system of equations shown.

A linear function is shown and a non-linear function is shown. What are the solutions to the system?

(0,-2)

(2,-6) and (5,3)

(0, -2) and (5, 3)

(2,0) and (3,5)

Which answer has a correct first step for this system:

3x + 3y = 3

y = 3x + 5

3x + 3y + 3x + 5 = 3

3x + 3(3x + 5) = 3

3(3x + 5) + 3(3x + 5) = 3

3x + 3y = 3x + 5

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, how many of each type of ticket were sold?

S + A = 530
3S + 4A = 1740

S + A = 530
4S + 3A = 1740

S + A = 1740
3S + 4A = 530

S + A = 1740
4S + 3A = 530

10.

Which of these are solutions to the system of inequalities that are graphed. Select two that apply

(5,1)

(1,-2)

(4,5)

(0,0)

11.

The graph shows the solution to a system of linear inequalities. Which inequalities are represented.

y ≤ 3x and y ≤ -2x + 4

y > 3x and y > -2x + 4

y < 3x and y > -2x + 4

y > 3x and y < -2x + 4

12.

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?

$10

$15

$20

13.

Find the common difference: -34, -29, -24, -19, ...

d = -5

d = 5

d = -6

d = 6

14.

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

1024, 2048, 4096

32, 8, 2

64, 32, 16

92, 66, 38

15.

Write the explicit formula for the geometric sequence.

a_n = 4(3)^n-1

a_n = 3(4)^n-1

a_n = -4(3)^n-1

a_n = 3(-4)^n-1

16.

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

20, 100, 500, 2500

5, 20, 80, 320

4, 20, 100, 500

4, 9, 14, 19

17.

Identify the common difference.
97, 86, 75, 64, ...

-11

-8

18.

Find the explicit formula:
-3, -33, -63, -93, ...

a_n = -3 - 30(n -1)

a_n = -3 + 30(n -1)

a_n = -30 - 3(n -1)

a_n = -30 + 3(n -1)

19.

Write the explicit rule for the geometric sequence:
2, -12, 72, ...

a_n = 72(-6)^n-1

a_n = 2(-6)^n-1

a_n = 2(6)^n-1

a_n = 72(-6)^n-1

20.

What is the recursive rule for the sequence:

-2, 12, -72, 432, ...

a_n = -2(-6)^n-1

a₁=-2

a_n =a_n-1+ 10

a₁=-2

a_n = -6⋅a_n-1

a₁=-2

a_n = a_(n-1) - 6

a₁=-2

21.

Which of the following is an increasing exponential function whose y-intercept is 50?

y = 50(.05)^x

y = 50x - 4

y = (2)^x + 50

y = 50(1.4)^x

22.

Given the following table of values, construct the function that represents the sequence.

y = 3(4)^x

y = 3x + 4

y = 4(3)^x

y = 4x + 3

23.

Challenge 2:
Which statement below describes the comparison of rate of change between the linear function f(x) and the exponential function g(x).

g(x) rate of change is ALWAYS greater than f(x) rate of change.

g(x) is NEVER greater than f(x) rate of change.

g(x) will eventually exceed the rate of change of f(x).

There is not enough information to compare the rate of change of f(x) to g(x).

24.

Determine where X' would be if you translated X 3 units to the left and 9 units down.

(-4, 4)

(-10, 2)

(-4, -5)

(-1, 5)

25.

If the dotted figure is the image, the original figure was reflected over the ...

x-axis

y-axis

26.

Identify the transformation from C to D.

90^o Counter Clockwise Rotation

180^o Rotation

270^o Counter clockwise Rotation

360^o Rotation

27.

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

(-5, 5)

(-3, -5)

(-5, 3)

(-3, 3)

28.

What is the reason these triangles are congruent?

SSS

SAS

ASA

AAS

29.

Name the postulate, if possible, that makes the triangles congruent.

SAS

ASA

AAS

Not Possible

30.

Name the postulate, if possible, that makes the triangles congruent.

SSS

SAS

ASA

Not Possible

31.

Name the postulate, if possible, that makes the triangles congruent.

SSS

SAS

AAS

Not Possible

32.

Find the distance between J and K.

8.2

7.7

10.2

33.

What is the distance between the two points?

6.3

6.5

6.7

34.

What percentage of girls have blonde hair?

30%

32%

29%

40%

35.

A survey explored the relationship between gender and band class. Which is a reasonable conclusion?

There are more band members than non-band members

There are more boys in the class than girls

There are more boys in band than not in band

More than half of the bands members in the class are girls

36.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.

12 chapters

15 chapters

18 chapters

21 chapters

37.