Algebra 1 Review

Exponents

100

What is 2^3?

8

200

 what is 5^0

1

300

what 3^2 x 3^3 =

3^5

400

what is (2^3)^2

2^6

500

what is 10^-2

0.01

Linear Equations

100

Solve for x, 2x + 5 = 15

x=5

200

Solve for \y \3y - 7 = 11

y=6

300

Solve for x, 4x + 2 = 3x + 8

x=6

400

Solve for z, 5z - 10 = 0

z=2

500

Solve for x, 7x + 4 = 25

x=3

Relations and functions

100

Determine whether the relation \R ={(1, 2), (2, 3), (3, 4)} is a function.

Yes it is.

200

 What is the domain of f(x) = x + 2 ?

All real numbers

300

If \f(x) = 3x, find f(2)

f(2)=6

400

Does \(1, 4), (1, 6), (2, 8) \ represent a function?  Answer

No

500

If \g(x) = x^2 , find g(3).

g(3) = 9

Solving equations

100

Solve for x, x + 3 = 7

x=4

200

Solve for y, 2y = 10

y=5

300

Solve for x, x - 5 = 12

x=17

400

Solve for z, 3z + 4 = 19

z=5

500

Solve for x, 4x = 20

x=5

Quadratic functions

100

What is the standard form of a quadratic equation?

Answer: ax2+bx+c=0

200

Solve x2−5x+6=0x^2 - 5x + 6 = 0

Answer: x=2x = 2 or x=3

300

Find the discriminant of 2x2+4x+1=02x^2 + 4x + 1 = 0.

8

400

Solve x2+4x+4=0

x=-2

500

What is the vertex of the quadratic function f(x)=x2−6x+8f(x) = x^2 - 6x + 8?

Answer: (3,−1)