Free Printable Feb 21

1.

How can you tell what the end behaviors of a polynomial are going to be?

4 lines

2.

How do you find the x-intercept of a polynomial?

4 lines

3.

How to you find the y-intercept of a polynomial?

4 lines

4.

What is the difference between a global(absolute) max and a relative max?

4 lines

5.

Simplify:

$\left(3xy\right)\left(2x^3y\right)$

(Remember: Multiply coefficients and add exponents.)

a)

$5x^4y$

b)

$6x^4y^2$

c)

$6x^3y$

6.

Simplify:

$-x\left(-x^4\right)\left(-x^4\right)$

a)

$-x^9$

b)

$x^8$

c)

$-x^{16}$

7.

Simplify:

$\left(-2u\right)\left(u^2v\right)\left(4u^3v^3\right)$

a)

$-8u^6v^4$

b)

$2u^6v^3$

c)

$-8u^5v^3$

8.

Simplify the expression.
(6x²)(-3x⁵)

a)

18x⁷

b)

-18x⁷

c)

18x⁷

d)

3x⁷

9.

Simplify (c⁵)(c³)(c³)

a)

c⁴⁵

b)

3c¹¹

c)

c¹¹

d)

3c⁴⁵

10.

Simplify (2m⁴)(5m²)

a)

10m⁶

b)

10m⁸

c)

7m⁶

d)

7m⁸

11.

Simplify the expression.
(x⁴ )(x¹²)

a)

x³

b)

x⁴⁸

c)

x¹⁶

d)

x⁸

12.

d⁴x d⁵

a)

2d⁴

b)

d⁹

c)

d²

d)

2d

13.

$18x^8y^6\ \cdot\ 3x^2y$

When multiplying monomials, the first step is to multiply the coefficients. On the presented monomials, please choose the correct product when multiplying their coefficients

a)

6

b)

54

c)

60

14.

18x8y6 ⋅ 3x2y

After multiplying the coefficients, what is the next step?

a)

add exponents of shared variables

b)

subtract exponents of shared variables

c)

add all exponents from each term

15.

18x⁸y⁶ ⋅ 3x²y

Solve

a)

54x¹⁰y⁷

b)

54x¹⁶y⁶

c)

54x⁸y⁶

16.

18x⁸y⁶ / 3x²y

When dividing monomials, the first step is to divide coefficients. What's the result of the division of their coefficients?

a)

54

b)

15

c)

6

17.

18x⁸y⁶ / 3x²y

After dividing their coefficients, the next step is to _______________ the exponents of shared variables

a)

add

b)

divide

c)

subtract

d)

multiply

18.

18x⁸y⁶ / 3x²y

Solve

a)

6x⁶y⁵

b)

15x⁶y⁵

c)

54x¹⁰y⁷

d)

6x¹⁰y⁷

19.

$25a^5b^3c\ \cdot\ 3a^3b^2$
Solve

a)

$75a^5b^3c$

b)

$75a^8b^5c$

c)

$75a^8b^5$

20.

25a⁵b³c / 3a³b²

a)

5a⁵b³c

b)

25a⁵b³

c)

5a²bc

21.

Select the solutions to the equation

2x² - 3x - 2 = 0

a)

x = 2

b)

x = -0.5

c)

x = - 3

d)

x = - 2

22.

Select the solutions to the equation

2x² - 13x + 15 = 0

a)

x = 1.5

b)

x = 5

c)

x = - 6

d)

x = 2

23.

Select the solutions to the equation

x² - 7x + 5 = 0

a)

x = 0.8

b)

x = - 7.2

c)

x = 6.2

d)

x = 5

24.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

25.

Does this parabola open up or down?

y = 4x² - 3x - 9

a)

up

b)

down

26.

Name the solutions of the quadratic function.

a)

x = 0

b)

x = 2 and x = 4

c)

x = 0 and x = 4

d)

(0, 4)

27.

How many solutions does this graph have?

a)

one

b)

two

c)

no real solutions

28.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

roots

29.

Select the graph which represents the quadratic equation y = x² - 1 for the interval 3 < x < 3 the coordinates should match the completed table shown.

a)

b)

c)

d)

e)

30.

a)

b)

c)

d)

e)

31.

If the graph of the quadratic equation

crosses the 𝑥-axis at the points (-3,0) and (-9,0) what are the solutions for the quadratic?

a)

x = -3, x = -9

b)

x = -3, x = 0

c)

x = -9, x = 0

d)

x = 3, x = 9

32.

a)

No real roots

b)

x = 2

c)

x = 2, x = - 2

d)

x = -2

33.

a)

x² +10x + 24 = 0

b)

- x² -10x + 24 = 0

c)

x² +10x - 24 = 0

d)

x² -10x - 24 = 0

e)

x² - 10x + 24 = 0

34.

The graph shows the equation of y = x² - 2x +3 what are the solutions of x² - 2x +3 = 0?

a)

x = -1, x = 3

b)

x = 2, x = 3

c)

x = 0, x = 3

d)

x = 0, x = 2

e)

has no real roots

35.

If the graph of the quadratic equation

crosses the 𝑥-axis at the points (1,0) and (-4,0) what are the solutions for the quadratic?

a)

x = 4, x = -1

b)

x = 4, x = 0

c)

x = -4, x = 0

d)

x = -4, x = 1

36.

At which values of 𝑥 does the graph of the equation 𝑦 = (𝑥+2)(𝑥−6) cross the 𝑥-axis?

a)

4 and 12

b)

4 and −12

c)

−2 and 6

d)

2 and −6

e)

−4 and −12

37.

a)

𝑥 = −3 or 1

b)

𝑥 = −4 or 2

c)

𝑥 = −3.5 or 1.5

38.

a)

b)

c)

d)

e)

39.

If the equation of a quadratic in factored form is f(x) = (x + 3)(x − 1), the roots are?

a)

x = 3 and x = −1

b)

x = −3 and x = 1

c)

x = 3 and x = 1

d)

x = −3 and x = −1

40.

a)

A

1 Repeated Solution

b)

B

2 Real Solutions

c)

C

No Real Solutions

d)

D

Half a Solution

41.

What inequality does the number line graph represent?

a)

x <= 4

b)

x>= -4

c)

x < -4

d)

x < 4

42.

-24 + k ≤ 10

a)

k ≤ 14

b)

34 ≤ k

c)

k ≤ 34

d)

14 ≤ k

43.

Does the sign need to flip when solving?
-2x ≥ 22

a)

YES

b)

NO

44.

-13t > 26

a)

t > -2

b)

t > 2

c)

t < 2

d)

t < -2

45.

-7 + 10z > -27

a)

z < -2

b)

z > -34

c)

2 > z

d)

z > -2

46.

5z - 2 - 2z < 13

a)

z > 5

b)

z < 5

c)

z > 1

d)

z < 1

47.

solve 5( 6 + 3r) + 7 ≥ 127

a)

r ≤ 6

b)

r ≥ 6

c)

r ≤ -6

d)

r ≥ -6

48.

-2(x+2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

49.

Solve:

-8b - 8 > 56

a)

b > 6

b)

b < -8

c)

b > -8

d)

b > 7/2

50.

Solve:

5(v + 3) - 10v > -10

a)

v < 5

b)

v > 5

c)

v > -5

d)

v < -5

51.

Solve:
7(x + 3) < 5x + 13

a)

x>-4

b)

x < 17

c)

x<-4

d)

x > -17

52.

Solve:
6x+10>5x-12

a)

x>2

b)

x<2

c)

x<-22

d)

x>-22

53.

3(x-2)<2(x+9)

a)

x<24

b)

x>-24

c)

x<12

d)

x>18

54.

Solve and graph the inequality.
77 ≤ 5 + 8n

a)

A

b)

B

c)

C

d)

D

55.

Translate the following phrase: Jessica must be at least 48 inches to ride the roller coaster.

a)

j > 48

b)

j < 48

c)

j ≤ 48

d)

j ≥ 48

56.

Translate the following phrase: Tom can spend no more than 20 dollars on his mom's birthday present.

a)

t > 20

b)

t < 20

c)

t ≤ 20

d)

t ≥ 20

57.

Translate the following phrase: Edith must read for a minimum of 20 minutes every night.

a)

e > 20

b)

e < 20

c)

e ≥ 20

d)

e ≤ 20

58.

Translate the following phrase: All students must get at least a 65% for the year in order to pass math.

a)

s = 65

b)

s > 65

c)

s ≥ 65

d)

s ≤ 65

59.

Translate the following phrase: Grace has $45 at most in her purse on a daily basis

a)

g < 45

b)

g > 45

c)

g ≤ 45

d)

g ≥ 45

60.

You need to save a minimum of $1200 to purchase your new laptop. If you already have saved $400 and make 11 per hour, h, at your job, which inequality could be use to solve to determine how many hours you need to work to save enough money.

a)

11h + 1200 ≥ 400

b)

11h + 400 < 1200

c)

11h + 400 > 1200

d)

11h + 400 < 1200

61.

What inequality does the number line graph represent?

a)

-x + 4 ≥ -1

b)

-2x + 3 > -7

c)

-x + 1 < -4

d)

2x + 3 ≥ 13

62.

Solve the inequality. Don't forget to check your solution set.
12 ≥ 15 - 6y

a)

y ≤ ½

b)

y ≤ 2

c)

y ≥ ½

d)

y ≥ 2

63.

Solve:
4(2a + 3) < 3(a - 1)

a)

a<-3

b)

a>-3

c)

a<3

d)

a>3

64.

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

65.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

Feb 21

Total questions: 65

Worksheet time: 5hrs 25mins

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