Free Printable 2nd Nine Weeks Study Guide

1.

Classify by number of terms:
3x³ – 6x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

2.

Classify by degree of polynomial:
3x³ – 6x

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

3.

Classify by degree and number of terms:

$4$

a)

quartic monomial

b)

constant monomial

c)

linear monomial

d)

constant polynomial

4.

Classify by degree and number of terms:

$7x$

a)

linear binomial

b)

linear monomial

c)

constant monomial

d)

constant binomial

5.

Classify by degree and number of terms:

$5y^3-8y$

a)

cubic monomial

b)

quadratic polynomial

c)

cubic binomial

d)

quadratic trinomial

6.

Classify the following by degree:

$x^{10}+y+5$

a)

10th degree

b)

cubic

c)

qudratic

d)

linear

7.

Nam by number of terms:

x

a)

monomial

b)

binomial

c)

trinomial

8.

Name by the number of terms:

$x^2+y^3-z^4+3$

a)

monomial

b)

4-term polynomial or just polynomial

c)

trinomial

d)

binomial

9.

Name and Classify the Polynomial:
x² − 4

a)

quadratic binomial

b)

quadratic monomial

c)

linear binomial

d)

linear monomial

10.

Put this in Standard Form.
u³+ 3u² - 4u + 2

a)

3u²+ u³ - 4u + 2

b)

- 4u + 3u² + 2 +u³

c)

3u²+ u³+ 4u + 2

d)

It's already in Standard Form

11.

$21=3+4n+5n$

a)

9

b)

$-7$

c)

6

d)

2

12.

$96=6\left(k+8\right)$

a)

$12$

b)

$8$

c)

$-4$

d)

$9$

13.

Solve for x:
4 - 2(x - 3) = 24

a)

- 7

b)

7

c)

14

d)

- 14

14.

What will the equation look like after you combine like terms?

a)

-5x + 5 = 35

b)

x + 5 = 35

c)

5x + 5 = 35

d)

-x + 5 = 35

15.

$-118=-5\left(4+7x\right)+7$

a)

$-5$

b)

$-9$

c)

$3$

d)

$-1$

16.

Solve:
$3x+15=3\left(x+5\right)$

a)

No Solution

b)

x = 15

c)

All Real Numbers

d)

x = 0

17.

Solve:

$-4x+3\left(5x+10\right)=-36$

a)

x = 12

b)

x = -10

c)

x = -6

d)

x = -16

18.

5x-4y=16

19.

2x+3y=9

20.

y=5/2x

21.

5x-y=1

22.

x+y=2

23.

Convert to Slope Intercept 2x+2y=5

(a)

24.

y=-x+2

25.

y=-3/2x+4

26.

y=3x-2

27.

y=-2x+4

y=2x+1

28.

This graph matches which inequality?

a)

y > 3

b)

y ≥ 3

c)

x≥3

d)

x>3

29.

Given the system, determine a solution.

a)

No solution

b)

Infinite solutions

c)

(-5, 5)

d)

(5, -5)

30.

Select the graph for 5x+ y ≤ -1 .

a)

A

b)

B

c)

C

d)

D

31.

Which system of linear inequalities is represented by the graph?

a)

y≤2x-1
y>-2x+3

b)

y>2x-1
y≤-2x+3

c)

y<2x-1
y≥-2x+3

d)

y≤2x-1
y>2x+3

32.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

33.

Which of the following equations match the given graph?

a)

y ≥ 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y≤ 2/5x + 1

d)

y ≥ -2/5x - 1

34.

If the inequality symbol is $\le$ or $\ge$ , the line will be ___________.

a)

solid

b)

dotted

35.

Which system of inequalities is shown?

a)

y ≥ -x - 1
y < x + 4

b)

y < -x - 1
y ≥ x + 4

c)

y > -x - 1
y ≥ x + 4

d)

y > -x - 1
y ≥ x + 3

36.

Is (0,0) a solution to the system?

a)

Solution

b)

Not a solution

37.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

38.

What is the correct slope-intercept form?

a)

y = mx + b

b)

y = mb + x

c)

y = x

d)

y = -mx + b

39.

What would the slope of the graph be?

a)

Positive

b)

Negative

c)

0

d)

Undefined

40.

What kind of slope does the graph have?

a)

Positive

b)

Negative

c)

0

d)

Undefined

41.

What kind of slope does the graph have?

a)

Positive

b)

Negative

c)

0

d)

Undefined

42.

What kind of slope does the graph have?

a)

Positive

b)

Negative

c)

0

d)

Undefined

43.

Write the equation of the line in slope-intercept form.

a)

y = -1

b)

y = -x

c)

y = -x - 1

d)

y = 2x

44.

Write the equation of the line in slope-intercept form.

a)

y = -2x - 5

b)

y = 2x - 5

c)

y = -2x

d)

y = -1/2x - 5

45.

Write an equation for the line in slope-intercept form.

a)

y = 1/2x

b)

y = -1/2x

c)

y = 2x + 1

d)

y = -2x - 2

46.

Jackson started with $800 in his savings account, but has to pay $30 a month for his electricity bill. Write an equation that relates his savings, y, to the amount of months, x.

a)

y = -30x + 800

b)

y = 30x - 800

c)

y = -30x

d)

y = 12x - 30

47.

Given the equation y = -3x - 5, what would the ordered pair be if you subbed in x = 2?

a)

(2, -11)

b)

(2, -1)

c)

(2, 1)

d)

(2, 11)

48.

Given the slope-intercept form equation of y = 1/2x + 7, what is the ordered pair if x = -10?

a)

(-10, 2)

b)

(-10, -12)

c)

(-10, 8)

d)

(-10, 9)

49.

What is the graph's equation?

a)

y = 4/3x - 1

b)

y = -4/3x - 1

c)

y = 3/4x + 1

d)

y = - 3/4x - 1

50.

Write an equation for the table in slope-intercept form.

a)

y = -2x + 5

b)

y = 1/2x + 5

c)

y = 5x - 2

d)

y = 3x - 6

51.

Write an equation for the table relating x and y in slope-intercept form.

a)

y = 2x + 2

b)

y = -3x + 2

c)

y = 6x + 5

d)

y = -2x - 2

52.

What is the equation for the table above?

a)

y = -3x + 20

b)

y = 3x + 20

c)

y = -1/3x + 20

d)

y = 6x - 2

53.

What is the slope of the given line?

a)

0

b)

-4

c)

undefined

d)

-2

54.

What is the slope of the given line?

a)

0

b)

undefined

c)

1

d)

-5

55.

In slope-intercept form y = mx + b, which value represents the starting or initial value?

a)

y

b)

m

c)

x

d)

b

56.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

57.

For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?

a)

-1

b)

1

c)

-3

d)

5

58.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

a)

y + 7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

59.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3

a)

y + 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 1 = 3(x - 1)

d)

y + 2 = -3(x + 1)

60.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3

a)

y + 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 1 = 3(x - 1)

d)

y + 2 = -3(x + 1)

61.

Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3

a)

y - 5 = -3(x - 10)

b)

y= -3x + 35

c)

y + 5= -3(x + 10)

d)

y= -3x - 35

62.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

63.

Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)

a)

y - 3 = 1(x - 2)

b)

y + 3 = 1(x + 2)

c)

y -3 = -1(x + 2)

d)

y + 3 = -1(x - 2)

64.

What type of slope?

a)

negative

b)

positive

c)

zero slope

d)

downward slope

65.

What type of slope?

a)

undefined

b)

positive slope

c)

negative slope

d)

zero slope

66.

Solve the following equation:

|−4 + 5x| = 16

a)

{16/5,12/5}

b)

{4, −5}

c)

{−12/5, 4}

d)

{4}

67.

Solve the following equation:

∣ 2x + 9 ∣ = 15

a)

x = 3

b)

x = 3, x = −6

c)

x = 3, x = −12

d)

x = 6, x = −12

68.

Solve the following equation:

|2a − 10| = 6

a)

a = 8, a = 5

b)

a = 8

c)

a = 8, a = −2

d)

a = 8, a = 2

69.

Solve the following equation:

|−2n| + 10 = −50

a)

{30, −30}

b)

{20, −20}

c)

{−5, 5}

d)

No Solution

70.

Solve the following equation:

3| −8x| + 8 = 80

a)

{−7/3, 7/3}

b)

{−3, 3}

c)

{11/3, −11/3}

d)

No Solution

71.

Solve.
3|d - 4| = 12

a)

d = -8 or d = 0

b)

no solution

c)

d = 8 or d = 0

d)

d = 40 or d = 32

72.

Solve.
|c + 4| < 5

a)

x < -9 or x > 1

b)

-9 < x < 1

c)

x < 9 or x > -1

d)

-1 < x < 9

73.

Solve.
|c + 4| < 5

a)

x < -9 or x > 1

b)

-9 < x < 1

c)

x < 9 or x > -1

d)

-1 < x < 9

74.

Describe the transformation of the equation below from the absolute value parent function.

$y=\left|x-4\right|$

a)

Left 4

b)

Right 4

c)

Up 4

d)

Down 4

75.

Describe the transformation of the equation below from the absolute value parent function.

$y=\left|x-4\right|$

a)

Left 4

b)

Right 4

c)

Up 4

d)

Down 4

76.

Choose the equation that best matches the graphed function.

a)

$f(x)=|x|+2$

b)

$f(x)=|x|-2$

c)

$f(x)=-|x|$

d)

$f(x)=-|x|+2$

77.

What is the vertex of the following function? $y=|x-3|+1$

a)

$(2,3)$

b)

$(-3,1)$

c)

$(2,-3)$

d)

$(3,1)$

78.

Describe the transformation of the equation below from the absolute value parent function.

$y=|x|+10$

a)

Shifted left 10

b)

Shifted right 10

c)

Shifted up 10

d)

Shifted down 10

79.

What are the x-intercept of the function

$f\left(x\right)=-2\left|x+4\right|+8$

a)

{-8,0}

b)

{0}

c)

{-4,8}

d)

None

80.

What is the y-intercept of the function

$f\left(x\right)=\left|x+3\right|-7$

a)

-4

b)

0

c)

3

d)

7

81.

What is the domain of the function

$g\left(x\right)=\left|x-2\right|+3$

a)

All Real Numbers

b)

$x\ge-2$

c)

$x<2$

d)

$\left[0,\infty\right)$

82.

What is the range of the function

$y=\left|x\right|+2$

a)

$y\ge2$

b)

All Real Numbers

c)

$y>0$

d)

$y\le-2$

83.

What is the transformation of $y=-\left|x\right|$

a)

Reflection

b)

Shifts Up

c)

Shifts Left

d)

Rotates 90 degrees

84.

What is the vertex of the function

$y=\left|x+16\right|-11$

a)

(-16,-11)

b)

(16,11)

c)

(16,-11)

d)

(-16,11)

85.

A polynomial with exactly three terms is called a (a) .

Choose from the below words

trinomial

coefficient

monomial

binomial

degree of a polynomial

distributive

polynomial

degree of a term

86.

Match each polynomial with it's type based on number of terms

a)

$15x^2$

1.

Monomial

b)

$-2x^3+13x^2-6x$

2.

Trinomial

c)

$3x^5-5x^3$

3.

Binomial

d)

$2x^8-2x^6+2x^4-2x^2$

4.

Multinomial

87.

Match the following

a)

3x²

1.

Monomial

b)

x + 7

2.

Binomial

c)

x² - 6x + 4

3.

Trinomial

d)

4x⁵ - 8x⁴ + 9x - 1

4.

Polynomial

88.

Match the following polynomials based on the number of terms

a)

1 term

1.

monomial

b)

2 terms

2.

binomial

c)

3 terms

3.

trinomial

d)

4 terms

4.

quadrinomial

89.

Classify the polynomial: $3x^3y^2$ (a)

Choose from the below words

Monomial

Binomial

Trinomial

Uninomial

90.

Match each polynomial with it's type by number of terms

a)

-3x⁵

1.

Monomial

b)

2x² + 5

2.

Binomial

c)

4x³ - x² -3

3.

Trinomial

d)

-5x⁴ + 6x² - 3x + 3

4.

Multinomial

2nd Nine Weeks Study Guide

Total questions: 90

Worksheet time: 3hrs 0mins

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