Free Printable Before Break Review (Units 1-4)

Worksheets

Before Break Review (Units 1-4)

Total questions: 50

Worksheet time: 3hrs 53mins

Name

Class

Date

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

d = -5

d = 5

d = -6

d = 6

Create the explicit formula for the sequence:

2, 8, 14, ...

y = 2 + 6x

y = -6 + 6x

y = 6x - 4

y = 4 - 6x

Find the common difference: 29, 21, 13, 5, ...

Remember, the common difference is the difference between the numbers.

d = -10

d = -9

d = -8

d = -7

Find the 10th term.

Find the 12th term of the arithmetic sequence: -10, -5, 0, 5, ...?

(a)

Is this function Linear or Quadratic?

¿Es esta función lineal o cuadrática?

Linear : Lineal

Quadratic: Cuadratica

Is this function Linear or Quadratic?

¿Es esta función lineal o cuadrática?

Linear : Lineal

Quadratic: Cuadratica

Is this function Linear or Quadratic?

¿Es esta función lineal o cuadrática?

Linear : Lineal

Quadratic: Cuadratica

Is this function Linear or Quadratic?

¿Es esta función lineal o cuadrática?

Linear : Lineal

Quadratic: Cuadratica

10.

The graph represents gasoline consumption when driving a certain distance in km. What is the meaning of the slope?

The tank started with 50 L of gasoline

the amount of gasoline consumed per km driven

the distance it takes to lose a Liter of gas

the gasoline is leaking because the slope is negative.

11.

What is the meaning of the slope?

You will receive $1 for every four newspapers delivered.

You will receive $4 per paper delivered

You will receive $20 per paper delivered

You will receive $20 for the day

12.

What is the meaning of the slope?

Colby's initial deposit was $100.

Colby's initial deposit was $150

Colby is adding $5 per year

Colby is adding $10 per year

13.

What is the meaning of the slope?

The cost for the service without any hours of calling is $5

The cost of the service without any hours of calling is $6

The cost per minute is $0.05

The cost per minute is $0.50

14.

What word means all of the x-values in a function?

Domain

Range

Integer

Difference

15.

In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

y = 20x + 5

y = 5x +20

y=-5x + 20

y = 5x - 20

16.

The start up cost to join eTunes music is $7.95 plus $0.95 per song downloaded. Write a linear equation that could be used to find how many songs he downloaded.

y = 0.95x + 7.95

y = 7.95x + 0.95

y = 0.95x - 7.95

y = - 0.95x + 7.95

17.

Jeff is keeping track of his weight over several weeks. After 2 weeks, he weighs 194 pounds. After 6 weeks, he weighs 186 pounds. How many pounds does Jeff weigh after 12 weeks?

18.

Bob's Plumbing charges $25 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

y = 25x + 40

y = 40x + 25

y = 25x

y = 25x - 40

19.

A printing service charges a set-up fee of $11.00 for each order and 5 cents more for each copy. The total cost, C (in dollars), for an order of x copies is given by the following function:

C = 0.05x + 11

What is the total cost for an order of 15 copies?

(a)

20.

Adam earns $10 for each car he washes.

Discrete

Continuous

21.

Soft drinks sold from a vending machine on I-75 cost $1.75 per bottle.

Discrete

Continuous

22.

Graph of the growth of a plant for the next 30 days.

Discrete

Continuous

23.

The time it takes for a car battery to die.

Discrete

Continuous

24.

Which point below is NOT part of the solution set?

(0, 0)

(-10, -10)

(-1, 5)

(5, 20)

25.

Select the graph for y ≥ -3.

26.

Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.

x + 2y < 240

x + 2y > 240

x + 2y ≤ 240

x + 2y ≥ 240

27.

Which point is not a solution?

(1, 3)

(-1, 2)

(3, -2)

(5, 0)

28.

Which of the following is true of the given graph?

y ≥ -2x + 1

The graph is a dotted line, shaded above.

The graph is a solid line, shaded above.

The graph is a dotted line, shaded below.

The graph is a solid line, shaded below.

29.

The members of a new band want to spend no more than $75 for at least 60 fliers to advertise their upcoming concert. The cost color fliers is $1.50 each, the cost of black and white fliers is $0.75 each. Which of the following combinations is a reasonable solution?

26 color, 30 black and white

30 color, 35 black and white

60 color

30 color, 50 black and white

30.

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

125x + 55 ≤ 600

125x + 55 ≥ 600

125x + 55 > 600

125x + 55 < 600

31.

Determine whether $\pi$ is rational or irrational.

Rational

Irrational

32.

Which of the following numbers is rational?

$\sqrt{7}$

$\frac{2}{3}$

3.1456289...

$\pi$

33.

Select ALL numbers that are irrational.

-21

$\pi$

$\frac{10}{2}$

$\sqrt{10}$

34.

Determine which of the following examples is irrational.

A fraction whose denominator is larger than its numerator

A decimal that never ends but repeats

A perfect cube root

A decimal that never ends and never repeats

35.

Is 3.74 a rational number?

yes

36.

Multiply the radical expressions together.

$5\sqrt[]{2}\cdot7\sqrt[]{3}$

$12\sqrt[]{5}$

$10\sqrt[]{21}$

$35\sqrt[]{6}$

$35\sqrt[]{5}$

37.

$2\sqrt[]{5}\left(\sqrt[]{4}+2\sqrt[]{3}\right)$

$4\sqrt[]{5}+4\sqrt[]{15}$

$8\sqrt[]{20}$

$4\sqrt[]{5}$

$4\sqrt[]{20}+2\sqrt[]{15}$

38.

Simplify:
√6 ⋅√6

√36

2√3

39.

$4\sqrt{6}\cdot\sqrt{3}$

$4\sqrt{9}$

$\sqrt{72}$

$4\sqrt{18}$

$12\sqrt{2}$

40.

Find the area of the rectangle shown.

18√20

12√10 + 6√2

9√12

36√5

41.

What is the significance of the ordered pair (2, -4) to the graph?

It is the vertex

It is an x-intercept

It is the y-intercept

It is the axis of symmetry

42.

Is this a max or min?

max

min

cannot be determined

43.

Use the graph to determine the solutions.
*Hint: Solutions = roots = zeros = x-intercepts

-1 and -3

1 and -3

1 and 3

-1 and 3

44.

Given the graph identify the domain of the function.

0 ≤ x ≤ 8

0 ≤ x ≤ 6

0 ≤ y ≤ 8

0 ≤ y ≤ 6

45.

Given the graph identify the interval of increase.

0 ≤ x < 6

0 ≤ x < 3

3 ≤ x < 6

0 ≤ y < 3

46.

Given the graph identify the interval of decrease.

0 ≤ x < 6

0 ≤ x < 3

3 < x ≤ 6

0 ≤ y < 3

47.

What are the X-intercept(s) of this graph?

-1 and -3

1 and -3

1 and 3

-1 and 3

48.

Use the picture to find the vertex and axis of symmetry

Vertex (3,8) Axis x = 3

Vertex (3,8) Axis y = 3

Vertex (8,3) Axis x = 3

Vertex (8,3) Axis y = 3

49.

Graph the quadratic.

y= - 2x²+8x-11

50.

What is the domain of the function given?

f(x) ≤ 0

All real numbers

0 ≤ x ≤ 3

x ≤ 0

Reset

Before Break Review (Units 1-4)

Total questions: 50

Worksheet time: 3hrs 53mins

Similar Resources on Wayground