Algebra & Functions

Question 1

Solve for the Expression

(x+y)^2 =

Answer 1

x^2 + 2xy + y^2

Question 2

Solve for the Expression

(x-y)^2 =

Answer 2

x^2 - 2xy + y2^2

Question 3

Solve for the Expression

x+y)(x-y

Answer 3

x^2 - y^2

Question 4

Exponents

y^4 + y^3 =

Answer 4

y^4 + y^3

Can’t do anything with it.

Question 5

Exponents

(8^m)^2 =

Answer 5

8^2m

Question 6

Exponents

y^3/5 =

Answer 6

root y^3 with 5 outside

Question 7

Exponents

y^-3/5

Answer 7

1 / root y^3 with 5 on the outside

Question 8

Functions

y = f(x+1)

Answer 8

Shifts 1 to the left

Question 9

Functions

y= f(x-1)

Answer 9

Shifts 1 to the right

Question 10

Functions

y= f(x) + 1

Answer 10

Shifts 1 up

Question 11

Functions

y= f(x) - 1

Answer 11

Shifts 1 down

Question 12

Functions

-f(x)

Answer 12

Negates y-values

Flips about the x-axis

Question 13

Functions

f(-x)

Answer 13

Negates x-values

Flips about the y axis

Question 14

Functions

What happens to the x-intercept when you reflect about the x-axis?

Answer 14

Nothing. Stays the same.

Question 15

Functions

What happens to the y-intercept when you reflect about the y-axis?

Answer 15

Nothing. Stays the same.

Question 16

Functions

What happens to the y-intercept and slope when you reflect a line across the x-axis?

Answer 16

They’re negated.

Question 17

Functions

What happens to the slope when you reflect a line across either axis?

Answer 17

It’s negated.

Question 18

Functions

y =2f(x)

Answer 18

Farther from x-axis (skinnier)

Question 19

Functions

y= 1/2f(x)

Answer 19

Closer to x-axis (fatter)

Question 20

Lines

The x-intercept of a line is the x-value of the equation when y = ___

Answer 20

0

Question 21

Lines

The y-intercept of a line is the y-value of the equation when x = ____

Answer 21

0