CCA Chapter 3 Review

Generic Rectangles

100

Draw a generic rectangle and write the area as a sum.

(x+2)(x+6)

x²+8x+12

200

Draw a generic rectangle and write the area as a sum.

(2x+3)(x+4)

2x²+11x+12

300

Draw a generic rectangle and write the area as a sum.

(x−5)(x−3)

x²−8x+15

400

Draw a generic rectangle and write the area as a sum.

(4x+2)(x−1)

4x²−2x−2

500

Draw a generic rectangle and write the area as a sum.

(x+3)(x²+2x+4)

x³+5x²+10x+12

Solving Equations

100

Solve for x.

5(x+1)=25

x=4

200

Solve for x.

6x−8=2x+12

x=5

300

Solve for x and check your work.

3(2x−1)=15

x=3

400

Solve for x and check your work.

10−4x=2x+16

x=-1

500

Solve for x and check your work.

2(3x−5)−4(x+2)=3x+7

x=5 

Graphing & Functions

100

What are the x- and y-intercepts of   y=−2x+4?

x-intercept = 2

 y-intercept = 4

200

Graph y=1/2x−3y label intercepts and growth triangle.

Teacher will check graph.

• x-intercept = 6

• y-intercept = -3
  
  

300

What are the x and y intercepts of y=2x+1?

• x-intercept = -½

• y-intercept = 1

400

Graph y=−x+5 label intercepts and growth triangle.

Teacher will check graph.

x-intercept = 5

y-intercept = 5

500

Graph with domain −1≤x<4 range 0≤y<6

Teacher Check

Exponents

100

Simplify: 3⁴÷3²

3² = 9

200

Simplify.  (2x³)²

4x⁶

300

Simplify with no negative exponents. (5a²b^-3)³

75a⁶b^-9 = 75a⁶/b⁹

400

Simplify. (6x⁵)(2x^-4)

12x

500

Simplify.   4^-3⋅4⁹

4⁶=4096

Random

100

Simplify the expression. −3(2x+4y)+3(x−y)

−3x−15y

200

 Car Rental Comparison

Scenario:
A local rental company offers two plans:

• Plan A: $25 per day plus a $50 insurance fee.

• Plan B: $40 per day with no insurance fee.

Write a linear equation for each plan, then find when both plans cost the same total amount.

10/3 or 3.33 days

300

Simplify the expression. 4(2x+1)−3x

5x+4

400

Solve for x. (Hint: 2 answers)

3|x+5|=18

x=1    x= -11

500

Create a generic rectangle for both sides of the equation and solve for x.      

(x+3)(x+2)=(x+5)(x−1)

x=−11