Algebra STAAR Review

Finding Slope

100

What is the slope of the function: y=x+3

What is 1

200

What is the formula of finding the slope from 2 points?

What is y₂-y₁/x₂-x₁

300

What is the slope of a line with points (2,3) and (5,9)

What is 2

400

What is the slope of the following line: 2x=3y-1

What is 2/3

500

What is the slope of a line perpendicular to a line with points (3/2,4) and (6, 22)

What is -1/4

Exponent Rules

100

Simplify: 4(ab+cd²)

What is 4ab+4cd²

200

Simplify: 2(3a³b²)²

What is 18a⁶b⁴

300

Simplify: 4(a²b)³+a⁶b³

What is 5a⁶b³

400

Simplify: 14x³y⁷z/10x²y⁵z⁴

What is 7xy²/5z³

500

Simplify: ab+3(2a²b²)²-4ab+a⁸b⁴/a⁴b⁸

What is -3ab+12a⁴b⁴+a⁴/b⁴

Quadratics

100

Expand: (x-1)(x+1)

What is x²-1

200

Factor: x²-4x+3

What is (x-1)(x-3)

300

Factor: 2x²+7x+5

What is (x+1)(2x+5)

400

Expand: 3x²-x-2

What is (x-1)(3x+2)

500

Factor: 6x²-19x-7

What is (2x-7)(3x+1)

Solving Equations

100

Solve for x: 3+x=9

What is x=6

200

Solve for x: x+2=8-2x

What is x=2

300

Solve for x: 4+2(x-1)=6x-14

What is x=4

400

Solve for x: x²-6x+9

What is x=3

500

Solve for x: x²-7x+12    (2 answers)

What is x=3, 4

Parent Functions and Sequences

100

What is the most basic parent function for a line?

What is y=x

200

What is the most basic quadratic function?

What is x²

300

Compared to the function f(x)=x, will the slope of function 2x+3 get steeper or less steep?

Steeper

400

Compared to function f(x)=x², does the x-intercept of g(x-3)=f(x) move to the left or right

Right

500

Using function f(x)=x², how to you transform the function to make the slope factor 3, reflect across the x-axis, move the vertex 4 units to the left, and move the vertex up by 2 units?

-3f(x+4)+2