a = 3

a = -3

a = 7

a = 0

x = 2

x = -1

x = 5

x = 0

p < 2

p > 2

p = 2

p < -2

x < 1

x > 1

x < -1

x > -1

n ≤ 2

n ≥ 2

n < -2

n > 2

r ≥ 0

r ≤ 0

r > 4

r < -4

(y2 - y1) / (x2 - x1)

(x2 - x1) / (y2 - y1)

(y1 + y2) / (x1 + x2)

(x1 - x2) / (y1 - y2)

The y-coordinate where the line crosses the y-axis.

The x-coordinate where the line crosses the x-axis.

The slope of the line.

The point where the line crosses the origin.

The x-coordinate where the line crosses the x-axis.

The y-coordinate where the line crosses the y-axis.

The point where the line is parallel to the x-axis.

The slope of the line.

y = mx + b

y = bx + m

y = m + bx

y = x + mb

y - y1 = m(x - x1)

y = mx + b

x - x1 = m(y - y1)

y = m(x + y1)

Ax + By = C

y = mx + b

$$y = ax^2 + bx + c$$

$$x^2 + y^2 = r^2$$

Lines that intersect at a 90 degree angle.

Lines that never meet.

Lines that curve away from each other.

Lines that overlap but do not cross.

Lines that never intersect and have the same slope.

Lines that cross at right angles.

Lines that curve away from each other.

Lines that meet at a single point.

-1

0

1

2

A straight line with slope -1 passing through (4,0)

A straight line with slope 1 passing through (4,0)

A parabola opening upwards

A horizontal line at y = 4

6x - 5y = -25

5x + 6y = -31

5x - 6y = -19

6x + 5y = -35

y = -1/6x - 1/2

y = -1/6x - 1/2

y = -1/6x + 1/2

y = 1/6x - 1/2

y + 4 = 1(x - 1)

y - 4 = 1(x + 1)

y + 1 = 1(x + 4)

y - 1 = 1(x + 4)

9 employees per year

12 employees per year

6 employees per year

18 employees per year

no solution

exactly one solution

at least two solutions

infinitely many solutions

-6

-2

3

4

22, 24, 26

20, 22, 24

24, 26, 28

18, 20, 22

x = 1

x = 0

x = -1

x = 2

w = (s - a)/l

w = s/l - a

w = s/l + a

w = a - s/l

x = 2

x = 1

x = 0

x = -2

$$M = \frac{v^2 r}{2G}$$

M = $$\frac{2G}{v^2 r}$$

$$M = \frac{v^2}{2Gr}$$

$$M = 2v^2 r / G$$

x ≥ 2

x ≥ 5

no solution

all real numbers

x < -2 and x < 1

x > -2 and x < 1

x < -2 and x < -1

x > -2 and x < -1

-2 < x < 1

-2 < x \leq 1

-2 \leq x < 1

-2 \leq x \leq 1

x = ±3

x = ±9

x = 3, 9

x = -3, 9

x < -4 or x > -2

x > 4 or x < 2

x > -4 or x < -2

x < 4 or x > 2

y = (1/5)x + 13/5

y = (-1/5)x + 17/5

y = 5x - 7

y = -5x + 7

y - 2 = 2(x - 2)

y + 2 = 2(x + 2)

y - 2 = (x - 2)

y - 2 = 3(x - 2)

y = 30 - 2x

y = 2x - 30

y = 30 + 2x

y = 2x

y + 1 = 6(x - 4)

y + 1 = -6(x - 4)

y - 1 = 6(x + 4)

y - 1 = -6(x + 4)

y + 3 = 2(x - 9)

y - 3 = 2(x + 9)

y + 9 = 2(x - 3)

y - 9 = 2(x + 3)

y = -7

x = 5

y = 7

x = -7

x-intercept: 7; y-intercept: -9

x-intercept: -7; y-intercept: 9

x-intercept: 9; y-intercept: -7

x-intercept: -9; y-intercept: 7

x-intercept: -6; y-intercept: 8

x-intercept: 6; y-intercept: -8

x-intercept: 8; y-intercept: -6

x-intercept: -8; y-intercept: 6

y - 1 = 4(x + 8)

y = -4x + 15

16x + 4y = 9

y = -4x

y = -2/3x - 7

y = 2/3x - 7

y = -2/3x + 7

y = 2/3x + 7

1/2

-2

2

-1/2

y - 2 = -1/3(x + 7) or y = -1/3x - 1/3

y - 2 = 3(x + 7) or y = 3x + 23

y - 2 = -3(x + 7) or y = -3x - 19

y - 2 = 1/3(x + 7) or y = 1/3x + 25/3

The set of all possible input values (x-values) for a function.

The set of all possible output values (y-values) for a function.

The highest value in a data set.

The difference between the largest and smallest values in a set.

The set of all possible output values (y-values) for a function.

The set of all possible input values (x-values) for a function.

The difference between the highest and lowest values in a data set.

A function that maps every element to itself.

A function is discrete if it consists of distinct, separate values.

A function is discrete if it is continuous and unbroken.

A function is discrete if it has only one value for every input.

A function is discrete if it can be drawn without lifting the pen.

A function is continuous if its graph is an unbroken line or curve with no gaps or breaks.

A function is continuous if it only has straight lines.

A function is continuous if it is defined only for whole numbers.

A function is continuous if it repeats its values periodically.

(-4, -6)

(4, -6)

(-4, 6)

(4, 6)

x = -2, y = 0

x = 2, y = -2

x = 0, y = -1

x = 1, y = -2

(7, 3), (7, 6), (7, 9), (7, 12), (7, 15)

(−4, 6), (0, 6), (7, 6), (4, 6), (−7, 6)

(4, 1), (8, 2), (12, 3), (16, 4), (20, 4)

(1, 3), (3, 5), (5, 7), (7, 9), (9, 1)

f(x) = 3x + 65

f(x) = 65x + 3

f(x) = 3x - 65

f(x) = 65x - 3

1, 3, 6, 10, 15, ...

−8, −11, −14, −17, −20, ...

48, 24, 12, 6, 3, ...

1, 12, 123, 1234, 12345, ...

r = 0.1847

r = −0.1847

r = 0.9974

r = −0.9974

$1.75

$2.50

$3.50

$4.50

11

5

-5

-11

6x⁵

6x⁶

8x⁵

8x⁶

(-7, -13)

(-13, -7)

(7, 13)

(9, 4)

(4, 9)

(4, -1)

(5, -2)

(-2, 5)

They both cost $5

The both cost $150 with 5 additional lines.

dashed

solid

y = 2/3 x + 2

y ≤ 2/3 x + 2

y < 2/3 x + 2

1, positive slope

2, undefined slope

2, zero slope

3, negative slope

(0, 6)

(0, -6)

(6, 0)

(-6, 0)

x = -4

x = 4

y = 4

y = -4

(-2, 16)

(2, 0)

(2, 4)

(-2, 4)

parabola

vertex

graph

point

(2, 4)

(3, -1)

(0, 8)

(4, 2)

3

2

0

1

y=3

x=3

x=5

x=1

3x (x² + 3)

3x ( x³ + 9)

x (3x² + 9)

3x (x³ + 3x)

$$4m^3n^2\left(6m\ -\ 4n\right)$$  

$$8mn\ \left(3m^4n^2\ -\ 2m^3n^3\right)$$  

$$8m^3n^2\ \left(3m\ -\ 2n\right)$$  

$$8m^3n^2\ \left(3mn\ -\ 2mn\right)$$  

$$\left(3x^3y^3\ +\ 2\right)$$  

$$4x^7y^2\ \left(3x^3y^3\ +\ 2\right)$$  

$$4x^7y^2\ \left(8x^3y^3\ +\ 4\right)$$  

$$4x^7y^2\ \left(\ 3x^{17}y^7\ +\ 2xy\right)$$  

$$4b\ \left(9a\ +\ 5c\right)$$  

$$2b\left(18a\ +\ 10c\right)$$  

$$4abc\ \left(9a\ +\ 5c\right)$$  

$$4\ \left(9ab\ +\ 5bc\right)$$  

$$3mn\ \left(3m\ +\ mn\ +\ 2n^4\right)$$  

$$3mn\left(3m\ +\ 2n^4\right)$$  

$$3mn\ \left(3n\ +\ 1\ +\ 2m^4\right)$$  

$$3mn\ \left(3m\ +\ 1\ +\ 2n^4\right)$$  

$$2a^2b^3\ \left(2ab^2\ -\ 9ab\ +\ 4ab^2\right)$$  

$$2a^2b^3\ \left(2ab^2\ -\ 9\ +\ 4a\right)$$  

$$4a^2b^3\ \left(ab^2\ -\ 14\ +\ 6a\right)$$  

$$2ab\ \left(2a^2b^3\ -\ 9ab\ +\ 4ab\right)$$  

$$18\left(x^3\ +\ 4x\ -\ 2\right)$$  

$$3\left(9x^3\ +27x\ -\ 9\ \right)$$  

$$9\left(2x^3\ +\ 9x\ -\ 3\right)$$  

$$9x\left(2x^2\ +\ 9x\ -3\right)$$  

5y (9xy + 3x² + 2y)

5xy (9 + 3x² + 2)

5x (9y + 3xy + 2)

5y (9x + 3x³ + 2)

$$3xy\ \left(7x\ +\ 10x^2y\ +\ 6y^3\right)$$  

$$3x^3y^3\ \left(7y\ +\ 10xy^2\ +\ 6y^3\right)$$  

$$3x^3y^3\ \left(7x\ +\ 10x^2y\ +\ 6y^3\right)$$  

$$3x^3y^3\ \left(\ 24x\ +\ 33x^2y\ +\ 21y^3\right)$$  

$$6a^2b^2\ \left(2b\ -\ 3ab^2\ 6a^2\right)$$  

$$6a^2b^2\ \left(2a\ -\ 3a^2b\ +\ 6b^2\right)$$  

$$3a^2b^2\ \left(4a\ -\ 9a^2b\ +\ 12b^2\right)$$  

$$\left(2a\ -\ 3a^2b\ +\ 6b^2\right)$$  

2

3

4

6

2

4

6

8

2

3

4

6

5

x

5x

20x

3

3x

x

2

2x

2

x

1

$$\frac{5\pm\sqrt[]{73}}{2}$$

$$\frac{2\pm\sqrt[]{73}}{2}$$

$$\frac{5\pm\sqrt[]{77}}{-2}$$

$$\frac{5\pm\sqrt[]{73}}{-2}$$

A

B

C

D

101, 2 real roots

3, 2 real roots

-101, 2 imaginary roots

-3, 2 imaginary roots

1 Real Solution

2 Real Solutions

Half a Solution

2 Imaginary Solutions

No solutions

1 Solution

2 Solutions

Infinite solutions

Positive

Negative

Zero

0

1

2

More than 2

-4

4

8

16

$$x=\left\{1,9\right\}$$  

$$x=\left\{-1,-9\right\}$$  

$$x=\left\{1,18\right\}$$  

$$x=\left\{5,9\right\}$$  

$$x=\left\{-1,5\right\}$$  

$$x=\left\{2,25\right\}$$  

$$x=\left\{1,5\right\}$$  

$$x=\left\{5,20\right\}$$  

$$x=-2\pm2\ \sqrt[]{7}$$

$$x=2\pm2\ \sqrt[]{7}$$

$$x=-11,\ x=7$$

$$x=-7,\ x=11$$

$$x=3\pm4\ \sqrt[]{3}$$

$$x=3\pm\sqrt[]{94}$$

$$x=3\pm\sqrt[]{48}$$

$$x=3\pm\sqrt[]{96}$$

No solution

$$x=\pm4\sqrt{5}$$  

$$x=\pm6$$  

$$x=\pm2\sqrt{5}$$