Free Printable Cumulative Quiz 6.4

1.

$\left(3x^4\right)^5$

a)

$15x^9$

b)

$243x^{20}$

c)

$15x^{20}$

d)

$243x^9$

2.

$\left(7x^3\right)^0$

a)

1

b)

7

c)

$21x^3$

d)

$x^{10}$

3.

$7x^0$

a)

1

b)

7

c)

$x^7$

d)

$x^{-7}$

4.

$\frac{1}{a^{-5}}$

a)

$a^{-5}$

b)

$\frac{a}{5}$

c)

$a^5$

d)

$\frac{5}{a}$

5.

$k^{-6}$

a)

$\frac{k}{6}$

b)

$\frac{6}{k}$

c)

$k^6$

d)

$\frac{1}{k^6}$

6.

$\left(-7x^2\right)\left(4x^4\right)$

a)

$-28x^8$

b)

$-28x^6$

c)

$-3x^8$

d)

$-3x^6$

7.

$\frac{x^8}{x^5}$

a)

$x^3$

b)

$\frac{1}{x^3}$

c)

$x^{13}$

d)

$x^{40}$

8.

$\left(-2x^3y^2\right)\left(5xy^4\right)$

a)

$3x^3y^8$

b)

$3x^4y^6$

c)

$-10x^3y^8$

d)

$-10x^4y^6$

9.

$4z^4\cdot6z^{-6}$

a)

$\frac{24}{z^2}$

b)

$24z^{-24}$

c)

$\frac{10}{z^2}$

d)

$10z^{-24}$

10.

$\left(3xy\right)\left(xy\right)$

a)

$x^2y^2$

b)

$3xy$

c)

$3x^2y^2$

d)

$\frac{xy}{3xy}$

11.

According to exponent rules, when we multiply the same base we _______ the exponents.

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

12.

Power to a Power Law states: keep the base the same and do this to the exponents.

a)

multiply

b)

add

c)

subtract

d)

divide

13.

Division Law states: keep the base the same and do this to the exponents.

a)

multiply

b)

add

c)

subtract

d)

divide

14.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

15.

Simplify the following:
x²x³

a)

x³

b)

x²

c)

x⁶

d)

X⁵

16.

y⁻¹¹⋅y⁵

a)

1⁄y⁶

b)

y⁶

c)

-y⁶

d)

-1⁄y⁶

17.

Simplify the following:
(3ab²)³

a)

27a³b⁶

b)

3ab⁶

c)

3a³b⁶

d)

27ab²

18.

Simplify the following:
(x²y)⁵

a)

x⁷y⁵

b)

x²y⁵

c)

x¹⁰y⁵

d)

x⁵y⁵

19.

Simplify the following:
x^-3

a)

1/x^-3

b)

x³

c)

1/x

d)

1/x³

20.

Simplify the following:
y⁶/y⁴

a)

y¹⁰

b)

y²

c)

y^-2

d)

1/y²

21.

Simplify the following:
x⁵x^-2

a)

x³

b)

x⁷

c)

x^-7

d)

x^-3

22.

Simplify the following expression
(3x³y⁵)⁴

a)

3x¹²y²⁰

b)

81x¹²y²⁰

c)

12x¹²y²⁰

d)

81x⁷y⁹

23.

Simplify (-5a^-3)(3a⁶b)²

a)

-15a⁹b

b)

45a⁹b

c)

45ab²

d)

-45a⁹b²

24.

How would you change this to a positive exponent:
1/x^-3

a)

1/x³

b)

x³

c)

3x

d)

1/3x

25.

(9n⁴)(6n⁷)

a)

54n¹¹

b)

15n¹¹

c)

15n²⁸

d)

54n²⁸

26.

Simplify and evaluate $4a^0+\left(6b\right)^0$

a)

5

b)

0

c)

1

d)

$4+6b$

27.

Simplify $3\left[\left(x^2\right)^3\right]^0$

a)

0

b)

1

c)

3

d)

$3x^6$

28.

Tell whether the following question is TRUE or FALSE. $\left(4x^3y^4\right)^2=16x^6y^8$

a)

TRUE

b)

FALSE

29.

When simplified $\left(-3x^2\right)^2\left(4x^3\right)$ equals to

a)

$-36x^{12}$

b)

$36x^7$

c)

$-36x^7$

d)

$36x^{12}$

30.

Simplify the expression $\frac{3x^7y^6}{x^3y^8}=\frac{3x^?}{y^?}$ . What are the needed power for $x$ and $y$ ?

a)

21 and 48

b)

4 and 2

c)

10 and 14

d)

2 and 2

31.

Simplify the expression $\frac{2x^{-2}y^{-2}}{16x^{-12}y^2}=$ . What are the needed power for $x$ and $y$ ?

a)

$-24x^{14}$

b)

$\frac{4}{x^2}$

c)

$\frac{x^{10}}{8y^4}$

d)

$\frac{1}{16x^8y^4}$

32.

Simplify the expression: $\frac{\left(-6x^2\right)^3}{\left(3x^{-4}\right)^2}$

a)

$-24x^{14}$

b)

$\frac{4}{x^2}$

c)

$\frac{x^{10}}{8y^4}$

d)

$\frac{1}{16x^8y^4}$

33.

Which expression is equivalent to $\frac{18c^8d^9}{9c^3d^6}$ ?

a)

$9c^{11}d^{15}$

b)

$2c^5d^3$

c)

$9c^5d^3$

d)

$2c^{11}d^{15}$

34.

Which is equivalent to expression below? $\frac{xy\left(24x^2y^3w\right)}{36y^5w^2}$

a)

$\frac{12x^3y}{w}$

b)

$\frac{x^2yw}{12}$

c)

$\frac{2x^3}{3yw}$

d)

$\frac{2x^2}{3y^2w}$

35.

Which is a simplified form of the following expression using only positive exponents? $\frac{10x^{-3}}{2y^5}$

a)

$\frac{1}{5x^3y^5}$

b)

$\frac{5y^5}{x^3}$

c)

$\frac{1}{x^3y^5}$

d)

$\frac{5}{x^3y^5}$

36.

Which is a simplified form of the following expression using only positive exponents? $\left(3a^{-2}b^3\right)\left(a^{-5}\right)$

a)

$\frac{3b^3}{a^7}$

b)

$\frac{3a^7}{b^3}$

c)

$\frac{3}{a^7b^3}$

d)

$\frac{b^3}{3a^7}$

37.

Which is a simplified form of the following expression using only positive exponents? $-2x^2y^{-5}z^{-7}$

a)

$\frac{1}{2x^2y^5z^7}$

b)

$\frac{y^5z^7}{-2x^2}$

c)

$\frac{-2x^2}{y^5z^7}$

d)

$\frac{-2}{x^2y^5z^7}$

38.

Which represent this expression in SIMPLEST FORM?

$\frac{20\left(x^{-2}\right)^3}{5\left(x^{-4}\right)^{-3}}$

a)

$15x^{18}$

b)

$4x^6$

c)

$\frac{15}{x^6}$

d)

$\frac{4}{x^{18}}$

39.

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

a)

$2x^3y^4$

b)

$2x^3y^5$

c)

$x^3y^5$

d)

$2x^3$

40.

Simplify: $\left(7a^4b^5\right)\left(2a^2b\right)=$

a)

$14a^6b^6$

b)

$14a^6b^5$

c)

$49a^8b^5$

d)

$9a^4b^5$

41.

Directions: Select 2 among the choices.

Identify all expressions that are equivalent to $3x^4y^2$

a)

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

b)

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

c)

$\frac{12x^6y^7}{4x^2y^5}$

d)

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

42.

If $x\ne0$ and $y\ne0$ , which is equivalent to the following expression? $\frac{-24x^5y^4}{3xy^2}$

a)

$8x^4y^2$

b)

$-8x^6y^6$

c)

$-8x^5y^2$

d)

$-8x^4y^2$

43.

Which is the simplified form of the following expression using only positive exponents? $\frac{12x^{-5}}{4x^3y^2}$

a)

$\frac{3}{x^8y^2}$

b)

$\frac{1}{3x^8y^2}$

c)

$\frac{3y^2}{x^8}$

d)

$3x^8y^2$

44.

Which among the choices is equivalent to $\left(2x^5y^2\right)\left(4xy^3\right)+\left(x^4y^4\right)\left(3x^2y\right)$

a)

$8x^6y^5$

b)

$3x^6y^5$

c)

$11x^6y^5$

d)

$5x^6y^5$

45.

Simplify the expression: $2m^{10}n^2\left(-7m^9n^5\right)^2-\left(-m^7n^3\right)^4=$

a)

$98m^{28}n^{12}$

b)

$97m^{28}n^{12}$

c)

$96m^{28}n^{12}$

d)

$-15m^{28}n^{12}$

46.

Name the x-intercept(s)?

a)

(0, 0)

b)

(2, 4)

c)

(0, 0) and (0, 4)

d)

(0, 0) and (4, 0)

47.

What is the vertex of the graph?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

48.

Is this point a max or min?

a)

max

b)

min

49.

What is another name for the x-intercepts of a quadratic?

a)

y-intercept

b)

Zeros

c)

x-axis

d)

They don't have another name

50.

What's the y-intercept of y = 3x²- 6x + 4

a)

(4,0)

b)

(-4,0)

c)

(0,-4)

d)

(0,4)

51.

What is the vertex of y=x²+4x+3?

a)

(2,1)

b)

(-2,1)

c)

(0,0)

d)

(-2,-1)

52.

Find the roots of y=5x²+7x-90

a)

(-5,0)(3.6,0)

b)

(0,-5)(0,3.6)

c)

(-4,0)(4,0)

d)

(-5,0)

53.

What was the maximum height of the water?

a)

0 feet

b)

2 feet

c)

10 feet

d)

3.85 feet

54.

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

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

55.

What are the zeros of the function? Choose all that apply.

a)

x = 0

b)

x = -3

c)

x = -6

d)

y = 18

56.

Which point is the vertex?

a)

(-8, 0)

b)

(-5, -9)

c)

(-2, 0)

d)

(-9, -5)

57.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

58.

What is the axis of symmetry?

a)

y = 2

b)

x = -4

c)

x = -2

d)

y = 0

59.

Define Y-intercept

a)

Where the parabola touches or intersects the x-axis, also called the x-intercept

b)

The lowest y-value on the graph

c)

The highest y-value on the graph

d)

Where the parabola touches or intersects the y-axis

60.

Define X-intercept

a)

The highest or lowest point on the graph

b)

Where the parabola touches or intersects the x-axis

c)

Where the parabola touches or intersects the y-axis

d)

A line that divides the graph into two equal parts. i.e. cuts the graph in half

61.

What is the y-intercept of the graph?

a)

(-1.5, 0)

b)

(3, 0)

c)

(0, -1.5)

d)

(0, 3)

62.

What was the height of the ball at 1 second?

a)

3 feet

b)

4 feet

c)

5 feet

63.

What was the height of the water at 3 seconds?

a)

9 feet

b)

10 feet

c)

7 feet

d)

5 feet

64.

What is the approximate lowest height of the roller coaster?

a)

120 feet

b)

3 feet

c)

25 feet

d)

170 feet

65.

Use the picture to find the vertex and axis of symmetry

a)

Vertex (3,8) Axis x=3

b)

Vertex (3,8) Axis y=3

c)

Vertex (8,3) Axis x=3

d)

Vertex (8,3) Axis y=3

66.

What is the axis of symmetry?

f(x)=-3(x+1)^2-5

a)

x = -5

b)

x = 1

c)

x = -1

d)

x = 3

67.

What is the axis of of symmetry for the equation

y=(x-2)(x-4)

a)

x = 3

b)

x = -3

c)

x = 2

d)

x = 4

68.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

69.

What is the vertex of the graph?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

70.

Is this point a max or min?

a)

max

b)

min

71.

What is the vertex of

y=x^2+4x+3

?

a)

(2,1)

b)

(-2,1)

c)

(0,0)

d)

(-2,-1)

72.

What is the axis of symmetry of

y=2x^2-4x+9

?

a)

x = 1

b)

x = -1

c)

x = -2

d)

x = 4

73.

What is the vertex?

a)

(-3, 0)

b)

(3, 0)

c)

(0, 18)

d)

(18, 0)

74.

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

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

75.

Which point is the vertex?

a)

(-8, 0)

b)

(-5, -9)

c)

(-2, 0)

d)

(-9, -5)

76.

Name the x-intercept(s)?

a)

(0, 0)

b)

(2, 4)

c)

(0, 0) and (0, 4)

d)

(0, 0) and (4, 0)

77.

.How many zeros does this parabola have?

a)

3

b)

2

c)

0

d)

1

78.

What's the y-intercept of y = 3x²- 6x + 4

a)

(4,0)

b)

(-4,0)

c)

(0,-4)

d)

(0,4)

79.

What is the significance of the ordered pair (0, -2) to the graph?

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

80.

Which statement about the graph is FALSE?

a)

The vertex is (-3, 18)

b)

The vertex is a maximum

c)

The y-intercept is y = 0

d)

The axis of symmetry is y = -3

81.

What is the significance of the ordered pair (1, -2) to the graph?

a)

It is the maximum point

b)

It is the vertex

c)

It is the y-intercept

d)

It is an x-intercept

82.

What is the significance of the ordered pair (3, 0) to the graph?

a)

It is the maximum point

b)

It is the vertex

c)

It is the y-intercept

d)

It is an x-intercept

83.

What is the significance of the ordered pair (0, -1.5) to the graph?

a)

It is the maximum point

b)

It is the vertex

c)

It is the y-intercept

d)

It is an x-intercept

84.

Which function has an x-intercept and y-intercept at (0, 0)?

a)

b)

c)

d)

85.

Which function has a maximum at (2, 0)?

a)

b)

c)

d)

86.

In an exponential function, what does the 'a' represent?

a)

SLOPE

b)

RATE OF CHANGE

c)

Y-INTERCEPT

d)

COMMON RATIO

87.

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?

a)

^.08

b)

^1.08

c)

.92

d)

8

88.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

89.

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

a)

Growth

b)

Decay

90.

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

a)

Growth

b)

Decay

91.

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

a)

y=5000(0.7)^x

b)

y=30(5000)^x

c)

y=5000(1.3)^x

d)

y=5000x^x

92.

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

a)

5000

b)

9006

c)

9765

d)

5433

93.

Using the table below, find the equation that matches

a)

y = 20(2)^x

b)

y = 20(1/2)^x

c)

y = 2(20)^x

d)

y = 20(1.25)^x

94.

What is the equation for the graph of the exponential function?

a)

y = 4(2)^x

b)

y = (4)^x

c)

y = (2)^x

d)

y = 2(4)^x

95.

Write the multiplier for the following scenario.

A population is decaying at a rate of 5.1% per year.

a)

1-5.1

b)

.949

c)

1.051

d)

.051

96.

The following function represents a bank account.
g(x) = 200(1.25)^x
What was the initial dollar amount put in the bank?

a)

$200

b)

$1.25

c)

$0.25

d)

$2.00

97.

The following function represents a bank account.

g(x) = 200(1.25)^x

^{What interest rate did the bank give?}

a)

200%

b)

1.25%

c)

25%

d)

2%

98.

Great Amusements Park has been raising its ticket prices every year, as shown in the table. Write an equation that represents the ticket price for year x.

a)

y = 5x + 50

b)

y = 50(1.10)^x

c)

y = 42.5(1.05)^x

d)

y = 50(5)^x

99.

Determine the population for year 3 of the table.

a)

8.2

b)

8.4

c)

8.64

d)

9

100.

Write an equation that presents the population for any year.

a)

y = x + 5

b)

y = 5(1)^x

c)

y = 1.2x + 5

d)

y = 5(1.2)^x

101.

What is the RANGE of this graph?

a)

-7<x<5

b)

-7≤y<5

c)

-3<x<1

d)

-3≤y<1

102.

What is the range?

a)

-4 < x ≤ 5

b)

-4 ≤ x < 5

c)

-3 < y < 3

d)

-3 ≤ y ≤ 3

103.

What is the DOMAIN of this graph?

a)

-4 ≤ x ≤ 3

b)

-1 ≤ x ≤ 4

c)

4 < x < 3

d)

-1 < x < 4

104.

Which of the inequalities below best describes the domain of the function shown on the graph?

a)

-2 ≤ x ≤ 2

b)

-5 ≤ x ≤ -3

c)

-2 ≤ x ≤ 3

d)

-5 ≤ x ≤ 3

105.

What is the DOMAIN of this graph?

a)

x < -3

b)

x ≤ -3

c)

x > -3

d)

x ≥ -3

106.

What is the Range?

a)

y ≥ 6

b)

$y\le6$

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

107.

What is the Domain?

a)

y ≥ 6

b)

-10 ≤ y ≤ 6

c)

-10 ≤ x ≤ 6

d)

All real numbers

108.

What is the domain of the function graphed?

a)

x < 5

b)

x ≥ 1

c)

x > 0

d)

All real numbers

109.

What is the range of the graph?

a)

(-∞,∞)

b)

[-1,0]

c)

[-1,3]

d)

[3,∞)

110.

What is the range of the following graph?

a)

all real numbers

b)

all integers

c)

any real number greater than zero

d)

it can not be determined

111.

The coordinates of a point are (y, x)

a)

True

b)

False

112.

What is the DOMAIN of this function?

a)

-∞ ≤ x ≤ ∞

b)

-∞ ≤ x ≤ ∞

c)

∞ < x < ∞

d)

-∞ < x < ∞

113.

What is the domain of the graph?

a)

x ≥ -5

b)

x ≤ 5

c)

-5 ≤ x ≤ 5

d)

-5 ≤ x ≤ 9

e)

All real numbers

114.

What is the range of the graph?

a)

y ≥ -5

b)

y ≤ 5

c)

-5 ≤ y ≤ 5

d)

-5 ≤ y ≤ 9

115.

What is the domain of the graph?

a)

x ≥ -6

b)

-7 ≤ x ≤ 3

c)

-8 ≤ x ≤ 4

d)

x ≤ -6

e)

All real numbers

116.

What is the range of the graph?

a)

y ≥ -6

b)

-7 ≤ y ≤ 3

c)

-8 ≤ y ≤ 4

d)

y ≤ -6

e)

All real numbers

117.

What is the domain of the graph?

a)

x ≥ 1

b)

1 ≤ x ≤ 5

c)

1 ≤ x ≤ 4

d)

x ≤ 5

e)

All real numbers

118.

What is the range of the graph?

a)

y ≥ 1

b)

1 ≤ y ≤ 5

c)

1 ≤ y ≤ 4

d)

y ≤ 5

e)

All real numbers

119.

What is the domain of the graph?

a)

-3 ≤ x ≤ 3

b)

-2 ≤ x ≤ 3

c)

-3 ≤ x ≤ 4

d)

-3 ≤ x ≤ 4

e)

All real numbers

120.

What is the range of the graph?

a)

-3 ≤ y ≤ 3

b)

-2 ≤ y ≤ 3

c)

-3 ≤ y ≤ 4

d)

-3 ≤ y ≤ 4

e)

All real numbers

121.

What is the domain?

a)

-3 < y ≤ 3

b)

-4 ≤ y ≤ 5

c)

-4 ≤ x ≤ 5

d)

-3 < x ≤ 3

122.

What is the RANGE?

a)

(-∞, ∞)

b)

(-2, ∞)

c)

[-2, ∞)

d)

(-∞, 0) U (0, ∞)

123.

What is the range?

a)

(-4,5]

b)

[-4,5)

c)

(-3,3)

d)

[-3,3]

124.

What is the domain of the graph?

a)

[-7, 5)

b)

(-7, 5]

c)

[-3, 1)

d)

(-3, 1]

125.

What is the domain of the graph?

a)

y≥1

b)

x ≥ 1

c)

All real numbers

d)

none of these

126.

What is the range of the graph?

a)

y≥1

b)

x≥1

c)

All real numbers

d)

none of these

127.

What is the domain?

a)

x = 2

b)

−∞ < x < ∞

c)

y = 2

d)

none of these

128.

What is the proper domain?

a)

x≥0

b)

y≥0

c)

All real numbers

d)

{0, 1, 2, 3, 4,...}

129.

What is the proper range?

a)

x≥0

b)

y≥0

c)

All real numbers

d)

{0, 1, 2, 3, 4,...}

130.

What is the Domain of this linear function?

a)

-6 ≤ x ≤ 6

b)

0 ≤ x ≤ 7

c)

2 ≤ x ≤ 7

d)

No Solution

131.

What is the Range of this linear function?

a)

-6 ≤ y ≤ 6

b)

0 ≤ y ≤ 6

c)

No Solution

d)

4 ≤ y ≤ 3

132.

Which of the following graphs have a domain of -4<x≤6?

a)

A

b)

B

c)

C

d)

D

133.

What is the slope of the following table?

a)

$m=-3$

b)

$m=-\frac{1}{3}$

c)

$m=-2$

d)

$m=-\frac{1}{6}$

134.

Determine the equation for the following linear function.

a)

$f\left(x\right)=-7x+9$

b)

$f\left(x\right)=9x-7$

c)

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

d)

$f\left(x\right)=2x-3$

135.

Determine the equation for the following linear function.

a)

$f\left(x\right)=4x+16$

b)

$f\left(x\right)=16x+4$

c)

$f\left(x\right)=-21x+4$

d)

$f\left(x\right)=4x-21$

136.

Determine the slope for the following linear function.

a)

$m=-4$

b)

$m=-3$

c)

$m=-\frac{4}{3}$

d)

$m=-\frac{3}{4}$

137.

Determine the equation for the following linear function.

a)

$f\left(x\right)=-2x+\frac{1}{4}$

b)

$f\left(x\right)=\frac{1}{4}x-2$

c)

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

d)

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

138.

What is the slope of the following linear function?

7x-4y=4

a)

$m=\frac{4}{7}$

b)

$m=\frac{7}{4}$

c)

$m=-1$

d)

$m=-\frac{1}{4}$

139.

What is the x-intercept of the following linear function?

5x-3y=-6

a)

$\frac{5}{3}$

b)

$2$

c)

$-\frac{6}{5}$

d)

$-\frac{5}{6}$

140.

What is the y-intercept of the following linear function?

-8x+2y=-8

a)

$-4$

b)

$4$

c)

$1$

d)

$-1$

141.

Determine the slope of the line that passes through the following two points.

\left(-3,\ 4\right)\ and\ \left(-6,\ 7\right)

a)

$m=-1$

b)

$m=1$

c)

$m=-\frac{11}{9}$

d)

$m=-\frac{9}{11}$

142.

Determine the slope of the line that passes through the following two points.

\left(5,\ 1\right)\ and\ \left(-4,\ -9\right)

a)

$m=8$

b)

$m=-8$

c)

$m=\frac{9}{10}$

d)

$m=\frac{10}{9}$

143.

When Renata moved to her new home a few years ago, there was a young oak tree in her backyard. She measured it once a year and found that it grows at a constant rate. The following is the equation for the height of the tree h, measures in centimeters, as a function of time t, measured in years:

h\left(t\right)=210+33t

Determine the meaning of the y-intercept.

a)

The initial height of the tree is 33 centimeters.

b)

The initial height of the tree is 210 centimeters.

c)

Every year, the tree grows 33 centimeters.

d)

Every year, the tree grows 210 centimeters.

144.

Lin is tracking the progress of her plant's growth. The height (h) of the plant, in centimeters, after (d) days is represented by the following function:

h\left(d\right)=5+1.5d

Which statement is best interpretation of the function?

a)

The starting height of the plant was 5 cm tall and it grew 1.5 cm every day.

b)

The starting height of the plant was 1.5 cm tall and it grew 5 cm every day.

c)

The starting height of the plant was 5 cm tall and it shrunk 1.5 cm every day.

d)

The starting height of the plant was 1.5 cm tall and it shrunk 5 cm every day.

145.

Armando has $300 in his bank account and each week he saves $50.

Which graph represents the relationship between the amount of money in the back account, A, after w weeks?

a)

b)

c)

d)

146.

Fiona has $500 in her savings account and plans to save $45 each month. How months will it take Fiona to have $1,040 in her savings account?

a)

8 months

b)

6 months

c)

12 months

d)

10 months

147.

Given $f\left(x\right)=3x+9$ , find $f\left(-4\right)$ .

a)

$-3$

b)

$21$

c)

$8$

d)

$-12$

148.

If $g\left(x\right)=3x^2-5$ , what is the value of $g\left(-2\right)$ ?

a)

$-11$

b)

$-17$

c)

$7$

d)

$1$

149.

If $f\left(x\right)=\frac{1}{2}\left(x+5\right)-3$ , find $f\left(-9\right)$ .

a)

$4$

b)

$-5$

c)

$-10$

d)

$8$

150.

If $g\left(x\right)=-2x^2+9$ , what is the value of $g\left(6\right)$ ?

a)

$-63$

b)

$81$

c)

$-15$

d)

$33$

151.

If $h\left(x\right)=12-\frac{3}{4}x$ , what is the value of $h\left(8\right)$ ?

(a)

152.

If $h\left(x\right)=2x^2-5x+7$ , find the value of $h\left(-3\right)$ ?

(a)

153.

Given $f\left(x\right)=3\left(x+8\right)-9x$ , what is $f\left(4\right)$ ?

(a)

154.

f(x)=x²-5x
f(4)=

a)

-4

b)

126

c)

24

d)

84

155.

f(x)=x²-5x
f(4)=

a)

-4

b)

126

c)

24

d)

84

156.

Given $f\left(x\right)=3x+9$ , find $f\left(-4\right)$ .

a)

$-3$

b)

$21$

c)

$8$

d)

$-12$

Cumulative Quiz 6.4

Total questions: 156

Worksheet time: 5hrs 25mins

Similar Resources on Wayground