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Chapter 4

100

Convert to decimal form.

7.49 × 10^-2

0.0749

200

Divide.

(7 × 10³) ÷ (1 × 10^-3)

7 × 10⁶

300

Solve using substitution.

x− y=−5 

−7x−3y=5

x=-2, y=3

400

Solve using elimination.

−1+5y=−3x 

2 − 4 y = 2 x

x=-3, y=2

500

The senior classes at High School A and High School B planned separate trips to the indoor climbing gym. The senior class at High School A rented and filled 11 vans and 5 buses with 406 students. High School B rented and filled 1 van and 10 buses with 476 students. Every van had the same number of students in it as did the buses. How many students can a van carry? How many students can a bus carry?

Van: 16, Bus: 46

Chapter 4 Part 2

100

Write in scientific notation.

0.000482

4.82 × 10^-4

200

Multiply.

(2 × 10⁹) × (3 × 10^-5)    

6 × 10⁴

300

Solve using substitution.

5x+2y=−14 

3x+ y=−8

x=-2, y=-2

400

Solve using elimination.

0=−7y−14+4x 

16 = −8y − 6x

x=0, y=-2

500

The county fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 16 vans and 15 buses with 608 students. High School B rented and filled 8 vans and 1 bus with 96 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.

Van: 8, Bus: 32

Chapter 5

100

Simplify.

(−5x⁴ − 3x³)+ (5x³ + 9x⁴)− (9x³ + 9x⁴)

−5x⁴ − 7x³

200

Find the product.

(a+2)²

a²+4a+4

300

Simplify.

                                               

      (a²b^-1)^-3       
(a³b⁴)^-1⋅(a²b⁵)⁰

                                   

    

b⁷

a³

400

Divide using synthetic division.

(a³ −3a² +5a−35)÷(a−4)

a²+a+9+ 1/(a-4)

500

Divide using long division.

(x³ −12x² +29x+2)÷(x−3)

x² −9x+2+ 8/(x−3)

Chapter 5 Part 2

100

Simplify.

(−4 − 14n)− (9 + 2n)− (−14 − 14n)

-2n+1

200

Find the product.

(p−7)(p+7)

p²-49

300

                                               

x⁵y^-5⋅x⁰y⁵

(x⁴y⁴)²   

_1_
x³y⁸

400

Use the remainder and factor theorems to show whether the divisor is a factor of the dividend.

(n³ +16n² +56n−64)÷(n+8)

Yes, it is a factor.

500

Divide using long division.

(x³ −8x² −15x+46)÷(x−9)

x²+x−6− 8/(x-9)

Chapter 6

100

Factor.

64x³y-8x⁴y

8x³y(8-x)

200

Factor.

18m²n + 34mn² − 60n³

2n(m + 3n)(9m − 10n)

300

Factor.

8a² + 5ab − 3b²

(a + b)(8a − 3b)

400

Solve the equation.

r² −2r−24=0

r=-4, r=6

500

Solve the equation.

r² +2r−8=0

r=2, r=-4