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Pre-Geometry Check in

Total questions: 30

Worksheet time: 4hrs 35mins

Name
Class
Date
1.

Which of the following is a line segment?

a)

AB\overrightarrow{AB}

b)

AB\overleftrightarrow{AB}

c)

AB\overline{AB}

d)

AA

2.

Which of the following pairs of angles are complementary?

a)

3030^\circ and 6060^\circ

b)

4545^\circ and 4545^\circ

c)

9090^\circ and 9090^\circ

d)

6060^\circ and 120120^\circ

3.

Which of the following is a vertical angle to ABC\angle ABC if ABC\angle ABC and DEF\angle DEF are formed by two intersecting lines?

a)

DEF\angle DEF

b)

ABD\angle ABD

c)

CBA\angle CBA

d)

EFA\angle EFA

4.

Translate the following geometry diagram into an equation: "Ray ABAB is perpendicular to line CDCD at point BB ."

a)

ABCD\overrightarrow{AB} \parallel \overleftrightarrow{CD}

b)

ABCD\overrightarrow{AB} \perp \overleftrightarrow{CD}

c)

AB=CD\overrightarrow{AB} = \overleftrightarrow{CD}

d)

ABCD\overrightarrow{AB} \subset \overleftrightarrow{CD}

5.

Which of the following inequalities represents the shaded region above the line y=x+4y = -x + 4 ?

a)

y<x+4y < -x + 4

b)

y>x+4y > -x + 4

c)

yx+4y \leq -x + 4

d)

yx+4y \geq -x + 4

6.

Which of the following is a ray?

a)

AB\overrightarrow{AB}

b)

AB\overleftrightarrow{AB}

c)

AB\overline{AB}

d)

AA

7.

Which of the following is an adjacent angle to ABC\angle ABC ?

a)

An angle that shares a common vertex and side with ABC\angle ABC

b)

An angle that is vertical to ABC\angle ABC

c)

An angle that is supplementary to ABC\angle ABC

d)

An angle that is complementary to ABC\angle ABC

8.

Translate the following geometry diagram into an equation: "Line ll is parallel to line mm ."

a)

lml \perp m

b)

l=ml = m

c)

lml \parallel m

d)

lml \subset m

9.

What is the equation of a line with slope 55 passing through the point (1,2)(1, -2) ?

a)

y=5x2y = 5x - 2

b)

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

c)

y=5x7y = 5x - 7

d)

y=5x+2y = -5x + 2

10.

Solve the two-step equation: 5x4=165x - 4 = 16

a)

x=2x = 2

b)

x=4x = 4

c)

x=5x = 5

d)

x=6x = 6

11.

Which of the following inequalities represents the shaded region below the line y=3x2y = 3x - 2 ?

a)

y<3x2y < 3x - 2

b)

y>3x2y > 3x - 2

c)

y3x2y \geq 3x - 2

d)

y3x2y \leq 3x - 2

12.

Which of the following is a line?

a)

AB\overrightarrow{AB}

b)

AB\overleftrightarrow{AB}

c)

AB\overline{AB}

d)

AA

13.

Which of the following pairs of angles are vertical angles?

a)

Angles that are adjacent and supplementary

b)

Angles that are opposite each other when two lines intersect

c)

Angles that share a common side

d)

Angles that add up to 9090^\circ

14-28.

Answer the questions below after watching the video

14.

What does 'd' represent in the provided table?

a)

Temperature

b)

Day

c)

Change in temperature

d)

Average rate of change

15.

What does 'T(d)' represent in the provided table?

a)

Day

b)

Change in day

c)

Temperature

d)

Average rate of change

16.

What is the temperature on Day 1?

a)

88

b)

78

c)

89

d)

70

17.

What is the temperature on Day 3?

a)

78

b)

88

c)

89

d)

70

18.

What is the temperature on Day 5?

a)

70

b)

65

c)

68

d)

82

19.

What is the temperature on Day 2?

a)

78

b)

88

c)

89

d)

70

20.

What is the general formula for calculating the average rate of change?

a)

Change in Input / Change in Output

b)

Change in Output / Change in Input

c)

Output - Input

d)

Input - Output

21.

What is the change in temperature from Day 1 to Day 3?

a)

11

b)

2

c)

5.5

d)

78

22.

What is the change in days from Day 1 to Day 3?

a)

1

b)

2

c)

3

d)

4

23.

Calculate the average rate of temperature change from Day 1 to Day 3.

a)

11 degrees/day

b)

2 degrees/day

c)

5.5 degrees/day

d)

78 degrees/day

24.

What does a positive average rate of change indicate?

a)

A decrease

b)

No change

c)

An increase

d)

Constant temperature

25.

What does a negative average rate of change indicate?

a)

An increase

b)

No change

c)

A decrease

d)

Constant temperature

26.

What is the change in days from Day 2 to Day 5?

a)

1

b)

2

c)

3

d)

4

27.

What is the change in temperature from Day 2 to Day 5?

a)

23

b)

-23

c)

3

d)

-7.67

28.

Calculate the average rate of temperature change from Day 2 to Day 5.

a)

-23 degrees/day

b)

-7.67 degrees/day

c)

3 degrees/day

d)

65 degrees/day

29-43.

Answer the questions below after watching the video

29.

What does the slope of a secant line represent?

a)

The instantaneous rate of change of a function.

b)

The average rate of change of a function between two points.

c)

The maximum value of a function.

d)

The y-intercept of a function.

30.

Which formula is used to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

a)

m = (x2 - x1) / (y2 - y1)

b)

m = y1 - y2 / x1 - x2

c)

m = (y2 - y1) / (x2 - x1)

d)

m = (x1 + x2) / (y1 + y2)

31.

In the animation showing secant and tangent lines, what does the red secant line represent?

a)

The instantaneous slope of the function at a single point.

b)

The overall shape of the function.

c)

The average rate of change of the black function between two points.

d)

The derivative of the function.

32.

As the secant line animates and its points move along the function, what happens to the average rate of change?

a)

It remains constant.

b)

It always increases.

c)

It always decreases.

d)

It changes, reflecting the varying steepness of the function.

33.

If you travel 380 miles in 5.5 hours, what is your average speed?

a)

Approximately 65.2 mph

b)

Approximately 69.1 mph

c)

Approximately 72.5 mph

d)

Approximately 75.0 mph

34.

On a graph comparing time to distance traveled, what does a steeper section of the graph indicate?

a)

The traveler is moving slower.

b)

The traveler is stopped.

c)

The traveler is moving faster.

d)

The traveler is moving backward.

35.

On a distance-time graph, what does the slope of a secant line connecting two points represent?

a)

The instantaneous speed at the starting point.

b)

The total distance traveled.

c)

The average speed between those two points.

d)

The maximum speed achieved during the trip.

36.

Based on the distance-time graph, how does the average speed from 2 to 3 hours compare to the average speed of the entire trip (0 to 5.5 hours)?

a)

The average speed from 2 to 3 hours is greater than the average speed of the entire trip.

b)

The average speed from 2 to 3 hours is less than the average speed of the entire trip.

c)

The average speed from 2 to 3 hours is the same as the average speed of the entire trip.

d)

It is impossible to compare the average speeds from the given graph.

37.

What function is being analyzed to determine its average rate of change?

a)

f(x) = x^2 + 1

b)

f(x) = x + 1

c)

f(x) = x^2 - 1

d)

f(x) = 2x + 1

38.

For the function f(x) = x^2 + 1, what are the corresponding y-values when x = 0 and x = 3?

a)

y=0, y=3

b)

y=1, y=10

c)

y=1, y=9

d)

y=0, y=9

39.

Graphically, what does the average rate of change between two points on a curve represent?

a)

The slope of the tangent line at the first point

b)

The area under the curve

c)

The slope of the secant line connecting the two points

d)

The y-intercept of the function

40.

What is the average rate of change of the function f(x) = x^2 + 1 from x = 0 to x = 3?

a)

1

b)

3

c)

9

d)

10

41.

For the function f(x) = x^2 + 1, what are the corresponding y-values when x = -2 and x = 1?

a)

y=4, y=1

b)

y=5, y=2

c)

y=3, y=0

d)

y=2, y=5

42.

If the average rate of change of a function over an interval is negative, what does this indicate about the function's behavior over that interval?

a)

The function is increasing

b)

The function is constant

c)

The function is decreasing

d)

The function has a maximum point

43.

What is the average rate of change of the function f(x) = x^2 + 1 from x = -2 to x = 1?

a)

-3

b)

-1

c)

1

d)

3

44-58.

Answer the questions below after watching the video

44.

For what mathematical operation is the FOIL method primarily used?

a)

Dividing polynomials

b)

Multiplying binomials

c)

Factoring trinomials

d)

Solving linear equations

45.

What does the acronym FOIL represent in mathematics?

a)

First, Outer, Inner, Last

b)

Factor, Order, Integrate, Logarithm

c)

Formulate, Observe, Isolate, Link

d)

Function, Operation, Identity, Limit

46.

What is the first step when applying the FOIL method?

a)

Multiply the inner terms

b)

Multiply the last terms

c)

Multiply the first terms

d)

Multiply the outer terms

47.

In the expression (x+2)(3x-7), which terms are considered the "First" terms?

a)

x and -7

b)

2 and 3x

c)

x and 3x

d)

2 and -7

48.

What is the product of the "First" terms in the expression (x+2)(3x-7)?

a)

3x

b)

3x²

c)

d)

6x

49.

What is the second step when applying the FOIL method?

a)

Multiply the outer terms

b)

Multiply the inner terms

c)

Multiply the first terms

d)

Multiply the last terms

50.

In the expression (x+2)(3x-7), which terms are considered the "Outer" terms?

a)

2 and 3x

b)

x and 3x

c)

2 and -7

d)

x and -7

51.

What is the product of the "Outer" terms in the expression (x+2)(3x-7)?

a)

-7x

b)

7x

c)

3x

d)

-14

52.

What is the third step when applying the FOIL method?

a)

Multiply the last terms

b)

Multiply the first terms

c)

Multiply the inner terms

d)

Multiply the outer terms

53.

In the expression (x+2)(3x-7), which terms are considered the "Inner" terms?

a)

x and -7

b)

2 and 3x

c)

x and 3x

d)

2 and -7

54.

What is the product of the "Inner" terms in the expression (x+2)(3x-7)?

a)

2x

b)

3x

c)

6x

d)

5x

55.

What is the fourth step when applying the FOIL method?

a)

Multiply the first terms

b)

Multiply the last terms

c)

Multiply the inner terms

d)

Multiply the outer terms

56.

In the expression (x+2)(3x-7), which terms are considered the "Last" terms?

a)

x and 3x

b)

x and -7

c)

2 and -7

d)

2 and 3x

57.

What is the product of the "Last" terms in the expression (x+2)(3x-7)?

a)

-14

b)

14

c)

-7

d)

2

58.

What is the final simplified expression after multiplying (x+2)(3x-7) using the FOIL method?

a)

3x² + x - 14

b)

3x² - 13x - 14

c)

3x² - x - 14

d)

3x² + 13x - 14

59-72.

Answer the questions below after watching the video

59.

What is the first step when dividing a polynomial by a monomial?

a)

Divide the first term of the polynomial by the monomial.

b)

Separate the fraction into smaller fractions, dividing each term of the polynomial by the monomial.

c)

Use long division.

d)

Factor out the greatest common factor.

60.

When dividing terms with the same base, what operation is performed on their exponents?

a)

Add the exponents.

b)

Multiply the exponents.

c)

Divide the exponents.

d)

Subtract the exponents.

61.

Simplify the expression: (12x^4 - 9x^3 + 15x^2) / (3x^2)

a)

4x^2 + 3x + 5

b)

4x^2 - 3x + 5

c)

4x^2 - 3x^1 + 5x^0

d)

4x^2 - 3x + 5x

62.

Simplify the expression: (28x^6 - 36x^4 + 20x^3) / (4x^2)

a)

7x^4 - 9x^2 + 5x

b)

7x^3 - 9x^2 + 5x

c)

7x^4 - 9x^2 + 5

d)

7x^6 - 9x^4 + 5x^3

63.

When dividing a polynomial by a binomial, what method is typically used?

a)

Factoring

b)

Synthetic division

c)

Long division

d)

Separating into smaller fractions

64.

What is the first step in performing polynomial long division?

a)

Multiply the divisor by the first term of the quotient.

b)

Subtract the product from the dividend.

c)

Divide the first term of the dividend by the first term of the divisor.

d)

Bring down the next term.

65.

Simplify the expression: (x^2 + 7x + 12) / (x + 3)

a)

x + 3

b)

x + 4

c)

x - 4

d)

x - 3

66.

What is the result of dividing x^2 + 7x + 12 by x + 3?

a)

x + 3

b)

x + 4

c)

x + 7

d)

x + 12

67.

When dividing 6x^2 - x - 15 by 2x + 3, what is the first term of the quotient?

a)

2x

b)

3x

c)

6x

d)

x

68.

What is the result of subtracting (6x^2 + 9x) from (6x^2 - x) during the long division of 6x^2 - x - 15 by 2x + 3?

a)

-8x

b)

8x

c)

-10x

d)

10x

69.

What is the simplified form of (6x^2 - x - 15) / (2x + 3)?

a)

3x + 5

b)

3x - 5

c)

2x + 5

d)

2x - 5

70.

When performing long division of polynomials, what should be done if a term with a specific power of x is missing in the dividend?

a)

Ignore the missing term

b)

Add a placeholder term with a coefficient of 0

c)

Skip to the next available term

d)

Factor out the common terms

71.

When dividing 9x^2 + 8 by 3x + 2, what is the first term of the quotient?

a)

3x

b)

9x

c)

2x

d)

x

72.

What is the result of dividing 9x^2 + 8 by 3x + 2?

a)

3x - 2

b)

3x - 2 + 12/(3x + 2)

c)

3x + 2 + 12/(3x + 2)

d)

3x - 2 + 8/(3x + 2)

73-86.

Answer the questions below after watching the video

73.

What is a polynomial with exactly one term called?

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Quadrinomial

74.

What is considered the simplest type of multiplication involving polynomials?

a)

Multiplying a binomial by a trinomial

b)

Multiplying a polynomial by a monomial

c)

Multiplying two binomials

d)

Multiplying two monomials

75.

Simplify the expression: 4a^3 * 5a^2

a)

20a^6

b)

9a^5

c)

20a^5

d)

9a^6

76.

Simplify the expression: (-x^5)^2

a)

-x^10

b)

x^10

c)

-x^7

d)

x^7

77.

Simplify the expression (3x^2y)(xy^2).

a)

3x^2y^2

b)

3x^3y^3

c)

3x^3y^2

d)

3x^2y^3

78.

Simplify the expression (-2u^2)(uv^3)(-u^2v^2).

a)

-2u^5v^5

b)

2u^5v^5

c)

-2u^3v^3

d)

2u^3v^3

79.

Simplify the expression (4a^3b^2)^2.

a)

16a^5b^4

b)

16a^6b^4

c)

8a^6b^4

d)

16a^6b^2

80.

Simplify the expression (-3pq^4r^2)^3.

a)

-27p^3q^12r^6

b)

27p^3q^12r^6

c)

-9p^3q^7r^5

d)

-27p^3q^7r^5

81.

In the expression -z^3, what does the exponent '3' apply to?

a)

The entire term -z

b)

Only the variable z

c)

The negative sign only

d)

Both the negative sign and the variable z

82.

Simplify the expression: (-z^3)(-z)^3

a)

-z^6

b)

z^6

c)

-z^9

d)

z^9

83.

When a negative base is raised to an odd power, what is the sign of the result?

a)

Always positive

b)

Always negative

c)

Depends on the base

d)

Depends on the exponent's value

84.

What rule is applied when simplifying an expression where a power is raised to another power, such as (x^a)^b?

a)

Add the exponents

b)

Subtract the exponents

c)

Multiply the exponents

d)

Divide the exponents

85.

Simplify the expression: (s^2t)^3 (st^3)^2

a)

s^8t^9

b)

s^6t^6

c)

s^5t^5

d)

s^4t^7

86.

Multiply the expression: 3y(y^3 - 2y^2 + 3)

a)

3y^4 - 6y^3 + 9y

b)

3y^3 - 6y^2 + 9y

c)

3y^4 - 2y^3 + 3y

d)

3y^4 - 6y^2 + 9

87-100.

Answer the questions below after watching the video

87.

Simplify x^6 * x^3.

a)

x^18

b)

x^9

c)

x^3

d)

x^2

88.

Simplify x^8 / x^2.

a)

x^16

b)

x^4

c)

x^6

d)

x^10

89.

Simplify (x^4)^3.

a)

x^7

b)

x^12

c)

x^64

d)

x^1

90.

What is the value of 7^0?

a)

0

b)

7

c)

1

d)

undefined

91.

Simplify y^-4.

a)

1/y^4

b)

y^4

c)

-y^4

d)

1/y^-4

92.

What is the value of -4^2?

a)

16

b)

-16

c)

8

d)

-8

93.

Simplify x^5 * x^-7.

a)

x^12

b)

x^2

c)

1/x^2

d)

1/x^12

94.

Simplify x^3 / x^8.

a)

x^5

b)

1/x^5

c)

x^11

d)

1/x^11

95.

Simplify (3x^2)^3.

a)

9x^5

b)

27x^5

c)

9x^6

d)

27x^6

96.

Simplify (-2x^3y^4)^2.

a)

-4x^6y^8

b)

4x^6y^8

c)

-4x^5y^6

d)

4x^5y^6

97.

Simplify (5x^3)(4x^7).

a)

20x^21

b)

9x^10

c)

20x^10

d)

9x^21

98.

Simplify (4x^3y^2)(7x^-4y^3).

a)

28x^-1y^5

b)

28x^7y^5

c)

28y^5/x

d)

28x^12y^6

99.

What is the value of (-2x^3y)^0?

a)

-1

b)

0

c)

1

d)

-2

100.

Simplify (24x^7y^3) / (8x^4y^-12).

a)

3x^3y^-9

b)

3x^3y^15

c)

3x^11y^15

d)

3x^11y^-9

101-115.

Answer the questions below after watching the video

101.

What mathematical concept is a prerequisite for simplifying radicals?

a)

Long division

b)

Recognizing perfect square roots

c)

Solving linear equations

d)

Graphing functions

102.

What is the first step in simplifying radicals using the factor tree method?

a)

Pull out pairs

b)

Create a factor tree

c)

Multiply the numbers

d)

Identify prime numbers

103.

When creating a factor tree for a number, what is the initial approach for finding factors?

a)

Always divide by 2

b)

Pick any two numbers that multiply to the original number

c)

Only use prime numbers

d)

Find the largest possible factor

104.

What are the first two factors chosen for 108 in the factor tree example?

a)

3 and 36

b)

4 and 27

c)

2 and 54

d)

6 and 18

105.

What happens to a prime number in a factor tree?

a)

It is multiplied by another prime number.

b)

It is factored further.

c)

It cannot be factored any further.

d)

It is discarded from the tree.

106.

What are the factors of 54 identified in the factor tree?

a)

3 and 18

b)

6 and 9

c)

2 and 27

d)

2 and 17

107.

What are the factors of 27 identified in the factor tree?

a)

2 and 13.5

b)

3 and 9

c)

4 and 6.75

d)

5 and 5.4

108.

What are the factors of 9 identified in the factor tree?

a)

2 and 4.5

b)

1 and 9

c)

3 and 3

d)

9 and 1

109.

What are all the prime factors of 108?

a)

2, 3, 9

b)

2, 2, 3, 3, 3

c)

2, 2, 27

d)

3, 3, 12

110.

What is the second step in simplifying radicals after creating a factor tree?

a)

Multiply all prime factors

b)

Pull out pairs

c)

Add all remaining numbers

d)

Divide by the index

111.

What is the assumed index number for a square root when it is not explicitly written?

a)

1

b)

2

c)

3

d)

4

112.

When pulling out pairs for a square root, how many identical numbers from a pair are brought outside the radical?

a)

Both numbers

b)

One number

c)

Half of one number

d)

No numbers

113.

In the simplification of the square root of 108, which prime factor is left inside the radical?

a)

2

b)

3

c)

6

d)

9

114.

What is the product of the numbers pulled out of the radical when simplifying the square root of 108?

a)

2

b)

3

c)

6

d)

9

115.

What is the simplified form of the square root of 108?

a)

2√27

b)

3√12

c)

6√3

d)

10√8

116-130.

Answer the questions below after watching the video

116.

What is the simplified form of √52?

a)

2√26

b)

4√13

c)

2√13

d)

13√2

117.

What is the simplified form of √162?

a)

3√18

b)

9√2

c)

2√81

d)

81√2

118.

What is the simplified form of √196?

a)

14

b)

2√49

c)

7√4

d)

98√2

119.

What is the simplified form of √(8/9)?

a)

(2√2)/3

b)

(√8)/9

c)

(4√2)/3

d)

(2√2)/9

120.

Why is it generally preferred to eliminate radicals from the denominator of a fraction?

a)

It's a mathematical convention

b)

It makes the number smaller

c)

It simplifies the numerator

d)

It's required for all calculations

121.

What is the process of eliminating radicals from the denominator of a fraction called?

a)

Rationalizing

b)

Simplifying

c)

Factoring

d)

Distributing

122.

What is the simplified form of 2/√3 after rationalizing the denominator?

a)

2√3/3

b)

2√3

c)

√3/3

d)

2/3

123.

What is the simplified form of 4/√2 after rationalizing the denominator?

a)

2√2

b)

4√2/2

c)

√2

d)

4/2

124.

What is the simplified form of 4/√2?

a)

2

b)

4√2

c)

2√2

d)

√2

125.

What is the simplified form of √270?

a)

3√30

b)

9√30

c)

3√10

d)

27√10

126.

When simplifying √270/√6, after simplifying the numerator to 3√30, what is the next necessary step to fully simplify the expression?

a)

Divide 30 by 6

b)

Rationalize the denominator

c)

Multiply by √30/√30

d)

Simplify √6 further

127.

What is the fully simplified form of √270/√6?

a)

3√5

b)

6√5

c)

√45

d)

3√30/6

128.

What is the simplified form of the expression sqrt(30) * sqrt(42)?

a)

6*sqrt(35)

b)

sqrt(1260)

c)

35*sqrt(6)

d)

6*sqrt(70)

129.

What is the simplified value of the expression sqrt(6) * sqrt(2/3)?

a)

2

b)

sqrt(4)

c)

sqrt(12)/sqrt(3)

d)

6*sqrt(2/3)

130.

When multiplying two radicals, how can they be combined?

a)

Multiply the numbers under the radicals and place the product under a common radical.

b)

Add the numbers under the radicals and place the sum under a common radical.

c)

Multiply the numbers outside the radicals and add the numbers under the radicals.

d)

Divide the numbers under the radicals and place the quotient under a common radical.

131-145.

Answer the questions below after watching the video

131.

What is the fundamental geometric object that represents a specific location and has no dimension?

a)

Line

b)

Segment

c)

Point

d)

Ray

132.

Which geometric figure extends infinitely in both directions and contains an infinite number of points?

a)

Ray

b)

Segment

c)

Point

d)

Line

133.

If a line contains points A, B, and C, which of the following is a correct way to name this line?

a)

Ray AB

b)

Segment BC

c)

Line AC

d)

Point A

134.

What is a part of a line that has two distinct endpoints and a finite length?

a)

Ray

b)

Line

c)

Segment

d)

Angle

135.

How can you visually distinguish a segment from a line when looking at their notation?

a)

A segment has one arrow, a line has two.

b)

A segment has no arrows, a line has two arrows.

c)

A segment has two arrows, a line has no arrows.

d)

A segment is curved, a line is straight.

136.

Which geometric figure has one endpoint and extends infinitely in only one direction?

a)

Line

b)

Segment

c)

Ray

d)

Point

137.

If a ray starts at point A and passes through point B, how should it be named?

a)

Ray BA

b)

Ray AB

c)

Line AB

d)

Segment AB

138.

What geometric figure is formed by the union of two rays that share a common endpoint?

a)

A line segment

b)

A plane

c)

An angle

d)

A circle

139.

How is an angle formed?

a)

The intersection of two rays with different endpoints.

b)

The union of two rays with a common endpoint.

c)

The intersection of two lines.

d)

The union of two line segments.

140.

What symbol represents the union of two geometric figures?

a)

b)

U

c)

=

d)

<

141.

Besides using letters, how else can angles be named?

a)

Using symbols

b)

Using numbers

c)

Using shapes

d)

Using colors

142.

Given an angle formed by rays BA and BD, what is a correct way to name this angle?

a)

Angle BDA

b)

Angle ABD

c)

Angle DAB

d)

Angle ADB

143.

When naming an angle using three letters, where must the letter representing the vertex be placed?

a)

At the beginning

b)

At the end

c)

In the middle

d)

It can be placed anywhere

144.

What is the result of the union of segment AB and segment BC on a line where B is between A and C?

a)

Segment AC

b)

Point B

c)

Segment BC

d)

Segment AB

145.

What is the intersection of two rays that share a common endpoint?

a)

A line segment

b)

An angle

c)

The common endpoint

d)

An empty set

146-155.

Answer the questions below after watching the video

146.

What is another name for dimensional analysis?

a)

Factor label method

b)

Unit factor method

c)

Both factor label method and unit factor method

d)

The easy way

147.

What is the primary purpose of using dimensional analysis in unit conversion?

a)

To simplify complex mathematical equations.

b)

To ensure units cancel out correctly, leading to the desired final unit.

c)

To quickly estimate the answer without a calculator.

d)

To convert all numbers to a common base unit.

148.

What is the conversion factor between kilograms and pounds?

a)

1 kg = 1000 lbs

b)

1 kg = 2.2 lbs

c)

1 lb = 2.2 kg

d)

1 lb = 1000 kg

149.

What is the first step in solving a unit conversion problem using dimensional analysis?

a)

Write down the conversion factor.

b)

Write down the quantity to convert, including its units.

c)

Multiply the quantity by a fraction.

d)

Plug numbers into a calculator.

150.

When converting 495 lbs to kg, where should the "lbs" unit be placed in the conversion factor fraction to ensure cancellation?

a)

On the top of the fraction.

b)

On the bottom of the fraction.

c)

It doesn't matter, as long as it's in the fraction.

d)

Both on the top and bottom.

151.

A weightlifter lifts 660 lbs. How many kilograms is that? (Use 1 kg = 2.2 lbs)

a)

300 kg

b)

1452 kg

c)

660 kg

d)

225 kg

152.

Why does multiplying by a conversion factor fraction not change the actual quantity?

a)

Because the units cancel out.

b)

Because the fraction itself is equivalent to one.

c)

Because it simplifies the calculation.

d)

Because it's a standard scientific practice.

153.

How many pounds are in 1 ton?

a)

1000 lbs

b)

2.2 lbs

c)

2000 lbs

d)

100 lbs

154.

A car has a mass of 1000 kg. How many pounds is that? (Use 1 kg = 2.2 lbs)

a)

2200 lbs

b)

1000 lbs

c)

454.5 lbs

d)

2000 lbs

155.

If a car weighs 4400 lbs, how many tons is that? (Use 1 ton = 2000 lbs)

a)

2.2 tons

b)

4.4 tons

c)

2.0 tons

d)

0.44 tons

156-169.

Answer the questions below after watching the video

156.

What is the primary method used to solve the system of equations in this lesson?

a)

Substitution

b)

Elimination

c)

Graphing

d)

Matrix method

157.

What is the first equation presented in the system?

a)

Y = 2x + 3

b)

Y = 2x - 3

c)

Y = -2x - 3

d)

Y = -2x + 3

158.

What is the second equation presented in the system?

a)

Y = 2/3x + 5

b)

Y = -2/3x - 5

c)

Y = -2/3x + 5

d)

Y = 2/3x - 5

159.

What does the point of intersection of the two graphed equations represent?

a)

The y-intercept

b)

The slope

c)

The solution to the system

d)

An unrelated point

160.

What form are both equations in, which makes them easy to graph?

a)

Standard form

b)

Point-slope form

c)

Slope-intercept form

d)

Intercept form

161.

What is the slope (m) of the first equation, Y = 2x - 3?

a)

2

b)

-3

c)

1/2

d)

-2

162.

What is the y-intercept (B) of the first equation, Y = 2x - 3?

a)

2

b)

-3

c)

0

d)

3

163.

How is the slope of the first equation (Y = 2x - 3) interpreted for graphing?

a)

Go down 2, then right 1

b)

Go up 2, then left 1

c)

Go up 2, then right 1

d)

Go down 2, then left 1

164.

What is the y-intercept (B) of the second equation, Y = -2/3x + 5?

a)

-2/3

b)

5

c)

-5

d)

2/3

165.

What is the slope (m) of the second equation, Y = -2/3x + 5?

a)

2/3

b)

-2/3

c)

5

d)

-5

166.

How is the slope of the second equation (Y = -2/3x + 5) interpreted for graphing?

a)

Go up 2, then right 3

b)

Go down 2, then left 3

c)

Go down 2, then right 3

d)

Go up 2, then left 3

167.

What is the point of intersection of the two lines on the graph?

a)

(2, 1)

b)

(1, -1)

c)

(3, 3)

d)

(4, 5)

168.

What is the first step in solving the system of equations using the substitution method?

a)

Multiply by a common denominator

b)

Isolate one variable

c)

Set the two expressions for Y equal to each other

d)

Add the equations together

169.

What is the purpose of multiplying the entire equation by 3 in the substitution method?

a)

To change the slope

b)

To find the y-intercept

c)

To eliminate the fraction

d)

To simplify the x-term

170.

Angle LKM is ​ (a)   angle MKJ. The measure of angle LKM is ​ (b)  

Choose from the below words
equal to
10
4
90
180
greater than
less than
171.
a)

Angles 1 and 2 are adjacent angles.

b)

Angles 3 and 4 are complementaryangles.

c)

Angle 5 + 􏰄Angle 6􏰂 = 180􏰍

d)

Angles 3 and 6 are vertical angles.

172.
a)

Always

b)

Sometimes

c)

Never

173.

Given:  EDB\angle EDB  is a right angle


Justify the conclusion:  mEDB=90m\angle EDB=90  

a)

def. of congruence

b)

right angles are congruent

c)

def of perpendicular lines

d)

def. of right angle

174.

When angles are congruent, they are____________

a)

adjacent

b)

vertical

c)

complementary

d)

supplementary

e)

equal

175.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles