# Intermediate Algebra/Chapter1Test

## Chapter 1 Test

Solve the following problems as indicated:

1

Evaluate if ${\displaystyle a=3}$ , ${\displaystyle b=-5}$ , and ${\displaystyle c=2}$

 ${\displaystyle ab^{2}+a(b-c)-bc^{2}=}$

2

A bike wheel has a circumference of 50 inches. What is the length of its diameter to the nearest hundredth? Use ${\displaystyle C=\pi d}$ and ${\displaystyle \pi \approx 3.14}$

Classify each of the following as natural numbers(N), integers(Z), rationals(Q), or irrationals(I). When possible, list all classifications for that number:

3

${\displaystyle {\sqrt {49}}}$

 N Z Q I

4

${\displaystyle -3.84}$

 N Z Q I

5

${\displaystyle 6-(-3)}$

 N Z Q I

6

${\displaystyle {\frac {2\times 5}{4}}+{\frac {3}{2}}}$

 N Z Q I
State the property illustrated in each of the following statements:

7

${\displaystyle 2(x+3)=2x+6}$

 Property

8

${\displaystyle 5y-4=-4+5y}$

 Property of

9

${\displaystyle 3m+(2+m)=(3m+2)+m}$

 Property of

10

${\displaystyle a\cdot {\frac {1}{a}}=1}$

 Property of
Simplify the following expressions:

11

 ${\displaystyle 3y(4+6x)-2(y-6)=}$

12

 ${\displaystyle 2(a-5)+3a=}$

13

 ${\displaystyle 5[c+3(2c-1)]=}$

14

Melvin buys several books stamps, each stamp costs $0.39 and each book contains one dozen stamps (the cost of one book is equal to the price per stamp times the total number of stamps in it.) He pays a total of$24.80 (\$1.40 sales tax is included in the final price). How many books of stamps did Melvin buy?

15

${\displaystyle |3y-4|+5=10}$

 y∈{ , }
Solve the following inequalities:

16

${\displaystyle 2y-4>3}$

 y >

17

${\displaystyle -7x<35+3x}$

 x >

18

${\displaystyle {\frac {32}{-x-2}}\ >4}$

 x <

19

All students at Central High School need a minimum of 40 credits to pass each year. Jack takes seven courses in one year, one of which is worth four credits. What must the minimum credit value of each of the other six courses be if Jack plans to pass this year?