Algebra 1 Chapter 7 Test Review

Exponents/Word Problems

100

(2x⁴)(-3xy²)(5y)

What is -30x⁵y³

200

Find the area of a rectangle with a length of 4 more than the width. 

a. Write the expression

b. Find the area if the width is 2

a. x²+4x

b. 12

300

Find the length and width of a rectangle with an area of x²+12x+20

(x+10) and (x+2)

400

Find an expression to represent the area of a frame if: 

The width and length of the frame are (x+4) and (2x+4), and the width and length of the photo are x and 2x. 

12x+16

500

Find the expression of the perimeter if the area is represented by the expression: 

6x²+11x-10

10x+6

PolynomialsAdding/Subtracting/Multiplying

100

Write the following polynomial in standard form. Then find the degree and leading coefficient. 

7x+2x²+3-3x⁴

What is ... 

-3x⁴+2x²+7x+3

Degree: 4 

LC: -3

200

Name the following polynomial by degree and number of terms: 

x²+5

What is a quadratic binomial

300

(3x³+5x)+(4x²-6x³+x)

What is -3x³+4x²+6x

400

(x²y-2xy+ x) - (3x-4x²y+8x)

What is 5x²y-2xy-10x

500

3x²y³(2x-9x²y+3)

What is 6x³y³-27x⁴y⁴+9x²y³

PolynomialsAdding/Subtracting/Multiplying

100

12x²+8x - 15x²+ 3 - 2x

What is -3x²+6x + 3

200

(-5a²-4a+20)-(-6a²+2a-2)

What is a²-6a+22

300

(-12g⁴h²)(-2gh³)

What is 24g⁵h⁵

400

(x-9)(x+3)

What is x²-6x-27

500

(x-7)(2x²-4x+6)

2x³-18x²+34x-42

Factoring

100

9x²-3x⁵

What is 3x²(3-x³)

200

18xy²z⁴+36x²yz³

What is 18xyz³(yz+2x)

300

4x³+2x²-2x-1

What is (2x+1)(2x²-1)

400

x²+4

What is Already factored

500

y²-16x⁴

(y-4x²)(y+4x²)

More Factoring

100

x² + 4x - 32

What is (x-4)(x+8)

200

x²-13x+36

What is (x-9)(x-4)

300

2y²-3y-20

What is (2y+5)(y-4)

400

2x³+12x²+18x

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

500

16x² - 40x -24

What is 8(2x+1)(x-3)