Algebra 1 March Review

Equations

100

3x - 15 = -21

What is x= -2

200

-4 ( 2 - x ) = 24

What is x= 8

300

4x + 3 (x - 2 ) = 5x - 20

What is x=7

400

-2x + 3 < 5x - 4

What is x>1

500

Solve: 4-2(3x+1)=3(2-x)+5

What is -3

Linear Equations

100

What is the Slope of 2x + 3y = 6

What is m=-2/3

200

A business purchases a computer for $2000. The value of the computer depreciates $400 per year. Which linear equation gives the value y of the computer after x years?

What is y = 2000 - 400 x

300

What is the slope of the equation perpendicular to the line 2x-5y=6 ?

What is m= -5/2

400

Which is an equation of the line containing the points (-1,5) and (3,9)?

What is y = x + 6

500

Write an equation parallel to y=3/4 x -3 and contains the point ( 0,5)

What is y = 3/4 x + 5

Polynomials

100

factor x^2 +10x + 16

What is (x + 8)(x + 2)

200

factor x^2 - 49

What is (x + 7)(x - 7)

300

Multiply (x²+3x-5)(2x+3)

What is 2x³+9x²-x-15

400

factor 2x^2 -11x -21

What is (2x + 3) ( x -7)

500

The length of a rectangle is 1ft less than three times the width. The area of the rectangle is 140ft². Find the length and width of the rectangle. 

Length: 20 ft; Width: 7ft

Radicals

100

Sqrt(18a³b⁶)

What is 3ab³ sqrt(2a)

200

State the domain of the following function: 

f(x)=sqrt(x+5)

What is x is greater than or equal to -5

300

(5 - sqrt(6))²

What is 31 - 10 sqrt(6)

400

Find the width of a rectangle that has a diagonal of 13 in. and a length of 12 in. 

What is 5 in. 

500

Solve sqrt(4x+9)+10=11

What is -2

MISC.

100

Solve by substitution 

2x-6y=15 ; x = 3y+8

What is No Solution

200

Solve by Elimination

3x + 2y = 2  ; x + y = 3

What is (-4, 7)

300

Simplify (-4a²b)³(-ab⁴)

What is 64a⁷b⁷

400

Scientific Notation: 5.67 X 10^-4

What is 0.000567

500

A 26 foot ladder is leaning against a building. How far is the bottom of the ladder from the wall when the ladder reaches a height of 24 ft on the building?

What is 10 ft.