Integrated 3- Skills Review

Solving Equations

100

Solve: 3(x+1)-2=4x+6

x= -5

200

-2 + (2x+1)/5 = 1

x = 7

300

3|-4x - 10|+4=16

x=-3.5 or x=-1.5

Function Notation

100

What is f(3) when f(x)=-3x-1

f(3)=-10

200

What is x when f(x)=2x-7 and f(x) = 19

x=13

300

If f(x)=2x-1 and g(x)=x², then g(f(3))= _____. 

g(f(3))= 25

Parent Functions

100

Write the equation for a quadratic function that has been shifted 3 units left and one unit down. 

f(x)=(x+3)²-1

200

Write the equation of a cubic function that has been compressed by a factor of 1/2, is reflected over the x-axis, and shifted 3 units right. 

f(x)=-1/2(x-3)³

300

Write the equation of a rational function that has been shifted 4 units up, 2 units left, reflected over the x-axis and stretched by a factor of 3. 

f(x)= -3 (1/x+3) +4

Quadratics

100

3(x+2)²= 75

x=3 or x=-7

200

6x² = 8x - 2

x=1 or x=1/3

300

Solve: 7x² = -8x - 1

x=-1/7 or x=-1

Exponents

100

Simplify: (2x⁴y⁷)³

8x¹²y²¹

200

Simplify: (x-6)²

x² -12x +36

300

(9x⁶)^1/2

3x³