Resources

Resources

Find the magnitude of a vector

reacher: Score : Date: Identifying Functions From Graphs

1

) Function: Yes

2

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5

3

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5

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Function: Function:

An architect is designing a rectangular-shaped skyscraper. The base of the building is a rectangle, with corners at

(1,3)

(35,3)

(35,53)

(1,53)

on the coordinate plane. What is the area of the rectangle on the graph?

(1

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1

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2

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3

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1.700

Multi-Step Equations Maze Directions: Solve the equation the maze from ＂Start＂ to ＂Fini

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235=-5(6v-5)

Identify the center and radius.

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1

(x-6)^{2}+(y-1)^{2}=9

6

The set consisting of only the zero vector in a vector space

V

is a subspace of

V

, called the zero subspace and written as

\{0\}

\lim _{x \rightarrow 3} \frac{\sqrt{x+1}-2}{x-3}

Consider this system of equations.

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\left\{\begin{aligned} x-2 y+3 z & =6 \\ -4 x+5 y-6 z & =8 \\ 7 x-8 y+9 z & =1 \end{aligned}\right.

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The system can be represented by the following matrix equation where

\mathbf{A}

3 \times 3

\vec{b}

3

\oint x y d x+x^{2} d y, \quad C

is counterclockwise around the rectangle with vertices

(0,0),(2,0),(2,5),(0,5)

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(a) Evaluate the given line integral directly.

INSTRUCTIONS: Read each problem carefully. Write solutions neatly. NO SOLUTION, NO POINTS. Express answers in lowest terms.

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1

. Find the expected value and the standard deviation of each random variable.

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\begin{tabular}{|c|c|c|c|}

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x

10

20

30

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P(x)

0

10

0

70

0

20

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x^{*} P(x)

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\begin{tabular}{|c|c|c|c|c|}

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x

2

4

6

8

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P(x)

0

30

0

20

0

10

0

40

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x^{*} P(x)

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If parallelogram

ABCD

is a rectangle, what is the measure of

\angle DBC

In the equation

y=c x-10, c

is a constant. If the graph of this equation in the

x y

-plane passes through the point

(1,-3)

, what is the value of

c

4

[0 / 1

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9

16

3

007

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Determine whether or not F is a conservative vector field. If It is, find a function

f

such that F = Vf. (If the vector field is not conservative, enter DNE.)

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F(x, y)=\square(x, y)=\left(y e^{x}+\sin (y)\right) 1+\left(e^{x}+x \cos (y)\right) j

3

) Find the Surface Area of the figure below

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^{2}

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2

4

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3 / 5

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1

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Variable Inequalities

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26

11

59

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93 \%

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Basic Algebraic Inequalities (L

1

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Basic Algebraic Inequalities (L

3

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One Point Inequalities From Number Line

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One Step Inequalities

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x

and graph the solution on the number line below.

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-4>x-9

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5

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1

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Q(4,-5)

has been translated from

P(2,-3)

. What is the translation as a vector?

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\left(\begin{array}{c} -2 \\ 2 \end{array}\right) \quad\left(\begin{array}{l} 2 \\ 2 \end{array}\right)

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\left(\begin{array}{l} -2 \\ -2 \end{array}\right) \quad\left(\begin{array}{c} 2 \\ -2 \end{array}\right)

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\mathrm{C}

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Complete the square:

2 x^{2}+3 x-2=0

Find the area of the shaded sector.

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d=19 \mathrm{ft}

Find the perimeter and the area of the figure.

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\square

\mathrm{cm}

Find the area of this rectangle.

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4

: Find the area of the diagram below using the formulas given. Do not forget your units!

Find the area of the polygon shown here:

\square

m^{2}

Simplify. Express your answer using positive exponents.

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\frac{6 b^{-3}}{3 b^{0}}

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Not feeling ready yet? These can

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Division rule for exponents

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Company Blog Help center User guides Tell us what you think Testimonials

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14

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1

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A regular polygon is a shape that has equal sides and equal angles. There are only

3

regular polygons that can form tessellations by themselves. Other regular polygons can be used together to form a tessellation.

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1

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Will the regular polygon tessellate?

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2

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3

regular polygons that will tessellate

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\begin{tabular}{|l|l|}

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\hline \multicolumn{

1

}{|c|}{ Regular Polygon } & Number of Sides \\

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1

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2

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3

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Identify the solid represented by the net.

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rectangular prism

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triangular prism

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Find the surface area of the solid.

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The surface area is

\square

Find the area and perimeter of each square.

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1

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2

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The solid below is formed of an isosceles triangular prism placed on a rectangu prism. Find its surface area.

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1

) Trlangular prism

-\frac{1}{2} \cdot 8,3=

12 \times 2=24

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2

Instructions: Sol

Evaluate the limit:

\lim _{x \rightarrow 12} \frac{\sqrt{x+4}-4}{x-12}

Find the measure of

\angle F U

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m \angle F L=\square

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Transversals of parallel lines: find angle measures (

72

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Lesson: Transversals of parallel lines

Given the vector

\mathbf{v}

has an initial point at

(-2,-8)

and a terminal point at

(2,-8)

, find the exact value of

\|\mathbf{v}\|

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Any part of the reviev

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The equilateral triangle shown has a perimeter of

12 \sqrt{3}

. Drag tiles to fill in the missing lengths and area.

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\begin{tabular}{|c|c|c|c|}

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12

4

2

12 \sqrt{3}

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4 \sqrt{3}

2 \sqrt{3}

48 \sqrt{3}

6

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a

b

can take values

1

2

with equal probabilty. The probability that the equation

ax^2+bx+1=0

has real roots, is equal to

Perimeter, Ares, and Volume

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Identilying side lengths that give right triangles

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Determine whether a triangle with the given side lengths is a right triangle.

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\begin{tabular}{|l|c|c|c|}

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\hline \multicolumn{

1

}{|c|}{ Side lengths } & Right triangle & \begin{tabular}{c}

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\end{tabular} & \begin{tabular}{c}

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\end{tabular} \\

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7,24,25

0

0

0

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4,7,8

0

0

0

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10,24,26

0

0

0

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22,29,36

0

0

0

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Which expressions are equivalent to

4 d+6+2 d

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Choose all answers that apply:

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2(3 d+3)

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6(d+6)

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(3 d+3)+(3 d+3)

thinking \& Real-World Problems:

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(6,-5)(7,-3)(8,

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A parabola has a vertex located at

(6,-5)

and passes through the point

(8,3)

. Use the pattern of the parabola to look for a vertical or horizontal stretch. Write the equation of the graph in vertex form.

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(6,-5)

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y=-(x+5)^{2}+6

The width of a rectangle measures

(10 g-7)

centimeters, and its length measures

(g-9)

centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

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3 g-8

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-32+22 g

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6 g-16

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11 g-16

1

y=2 x-1

passes through the centre of a circle with radius

6

units. Write down a possible equation of the circle.

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sub any value of

x

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BSS/Additional Mathematics/S

3

3

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7

: Coordinate Geometry

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11

Checkpoint: Similarity transformations Drw

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A B C D

is dilated by a scale factor of

2

5

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What is the perimeter of the image?

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What is the area of the image?

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1

(2x-3)(x+4)=0

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x=a

x=b

be unique solutions to the given equation. What is the value of

-a-b

Find the area of rectangles with the following dimensions. Explain your thinking using the area model.

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1 \mathrm{ft} \times 1 \frac{1}{2} \mathrm{ft}

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1 \frac{1}{2} \mathrm{yd} \times 1 \frac{1}{2} \mathrm{yd}

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2 \frac{1}{2} y d \times 1 \frac{3}{16} y d

7

. Linear Algebra: Orthogonal Columns

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M

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\begin{tabular}{|l|l|l|}

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1

3

1

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2

-2

a

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1

1

b

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\mathrm{a}

\mathrm{b}

be such that the columns of

\mathrm{M}

are orthogonat. Compute

\mathrm{a}

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Pick ONE option

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-1 / 2

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-1

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1 / 2

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2

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Ciear Selection

An isosceles right triangle has a hypotenuse of length

58

inches. What is the perimeter, in inches, of this triangle?

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29\sqrt{2}

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58\sqrt{2}

Find a vector that is perpendicular to the plane passing through the three given points.

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P(0,1,0), \quad Q(1,2,-1), \quad R(-3,1,0)

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2

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ABCD

is a rectangle PROVE:

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\angle ADC \cong \angle BCD

Consider the system of equations. If

(x, y)

is the solution to the system, what is the value of the sum of

x

y

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2(x-\frac{1}{3})-\frac{3}{2}(y-\frac{1}{6})=0

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3(y-\frac{1}{2})+\frac{8}{3}(x-\frac{1}{6})=0

Determine the coefficient and degree of the monomial.

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-7 x^{2} y^{5}

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The coefficient of the monomial is

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The degree of the monomial is

\square

Determine the coefficient and degree of the monomial.

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5 x^{4}

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The coefficient of the monomial is ___.

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The degree of the monomial is ____.

h(x)=-x-4

x

h(x)=4

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f(x)=2 x+2

x

f(x)=-4

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g(x)=-x+2

x

g(x)=-4

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