Algebra 1 Review Part 2

Function Forms

100

What is direct variation form?

y = kx

200

Write an equation in point-slope form with a slope of 5 and a point (12, -9)

y+9 = 5(x-12)

300

Change y+7 = 3(x-10) into direct slope intercept form.

y = 3x -37

400

What is standard form of a linear equation?

Ax + By = C where A cannot be negative and A, B, and C can not be fractions

500

Write a linear equation in standard form with a slope of -2/3 and a y-intercept of -6

2x + 3y = -18

Arithmetic and Geometric Sequence

100

Arithmetic or Geometric Sequence? 2,4,6,8

Arithmetic

200

Arithmetic or Geometric Sequence? 2, 6, 18, 54

Geometric

300

What is the common ratio? 2, 12, 72, 432

6

400

What are the next three numbers in this sequences? 1.25, 3.75, 6.25, 8.75

11.25, 12.75, 14.25

500

If the first term is 5 and the common ration is 2, what is the eighth term in the sequence?

640

System of Equations

100

What is the solution to y = 7x + 4 and y = 7x -2

No solutions

200

What is the solution to y = (1/2)x + 9 and y = -x + 6?

(-2, 8)

300

What is the solution to -3x + y = 8 and -x + y = -2?

(-5, -7)

400

What is the solution to y = 2x - 4 and 6x -3y = 12?

Infinite solutions

500

What is the solution to y = (-2/7)x + 4/3 and (-6/9)x + 2y = 7?

(-7/2, 7/3)

Exponent Rules

100

x^-3

1/x³

200

(4/x)³

64/x³

300

(p^-9q^-4)/(r²s^-3)

s³/r²p⁹q⁴

400

(4x²)(3x⁵)

12x⁷

500

(2x⁵y²)(4xy³) + (x⁴y⁴)(3x²y)

11x⁶y⁵

Factoring

100

24x-56

8(3x - 7)

200

Factor: 9v⁴-100

(3v²+10)(3v²-10)

300

6a²+9a-27

3(a+3)(2a-3)

400

32x²-18y²

2(4x+3y)(4x-3y)

500

5p³+p²q-15pq-3q²

(p²-3q)(5p+q)