Calarco's Algebra 1 Regents Review 1

Systems

100

Solve For x and y. 

y=3

y+2 = x

(5,3)

200

Solve for x and y.

y= 2x

y = x-4

(-4,-8)

300

Solve for x and y.

y=2-x

y=x-4

(3,-1)

400

Solve for x and y.

2y-x=12

y=x+6

(0,6)

500

Solve for x and y.

-4x=22-2y

2x=24+6y

(-9,-7)

Exponents

100

Simplify

x³ * x⁴

x⁷

200

(x⁴)²

x⁸

300

The y intercept of this equation:

y=4(2)^x

4

400

The 12th number in the sequence.

3, 6, 12, 24...

6144

500

This is the expression for a in terms of x.

5^2x * 5^x+4 = 5^a

3x+4

Factoring

100

Factor Completely

x²-2x

x(x-2)

200

Factor Completely

x²-2x-3

(x-3)(x+1)

300

Factor Completly

x²+4x-12

(x-2)(x+6)

400

Factor Completly

2x²-4x-16

2(x+2)(x-4)

500

Factor Completely

x⁴-81

(x²+9)(x-3)(x+3)

Polynomial Operations

100

Write in standard form

x(x+2)

x²+2x

200

The difference of (x³+x+2) and (x²-2x-5)

x³-x²+2x+5

300

(x-3)²

x²-6x+9

400

(x-2)(x²-8x+3)

x³-10x²+19x-6

500

This number "completes the square."

x²-6x+____=1+____

9

Statistics

100

These are the 5 number summary.

Min, Q1, Median, Q3, Max

200

These were the two measures of central tendency in the statistics unit.

Mean and Median

300

Standard deviation and the IQR both measure this.

Variation

400

The sample standard deviation of this data set to nearest hundredth.

1,2,3,4,5,6

1.87

500

Linear regression equation of this data:

(nearest hundredth) 

x - 2 | 3 | 5 | 7  | 9

y - 8 | 12 | 16 | 19 | 21

y=1.79x + 5.88