Exam 1: Basic Concepts

Inductive reactance (in ohms, $\Omega$ ) equals $2 \pi \times \text { frequency } \times \text { inductance }$ . Find the inductive reactance in the ac circuit shown in the figure. Use the $\pi$ key on your calculator and round the answer to three significant digits. __________ Ω

Simplify the fraction. $\frac { 20 } { 144 }$ If the fraction is undefined, answer undefined.

Find the prime factorization of the number (use the divisibility tests where helpful). $72$

Find the root rounded to three significant digits. $\sqrt { 4,950 }$

Divide. $0.4 \div 0.02$

Change the percent to a decimal. 3.7%

How many gallons of paint should be purchased to paint $10$ motel rooms as shown in the illustration? (Do not paint the floor.) It takes 1 gal to paint $240$ square feet (ft ² ).

Test the divisibility of 936 by 3. Answer divisible or not divisible.

A 21 ft I-beam is to be divided into 4 equal parts. What is the length of each piece? __________ ft

Round the number to three significant digits. 248.561

A rod $13 \frac { 5 } { 6 }$ in. long has been cut as shown in the illustration. Assume the waste in each cut is $\frac { 1 } { 16 }$ in. What is the length of the remaining piece?

Round the number to the nearest hundred. 1,490

Evaluate the expression. $14 \div 7 \times 16 \div 2 \div 8$

What percent of $\frac { 1 } { 4 }$ is $\frac { 1 } { 14 }$ ? Round to the nearest tenth of a percent when necessary.

Find the total board feet (bd ft) of $167$ identical pieces of lumber that each measure 1 inch thick × 8 inch wide × 14 feet long.

Subtract. $3.49$ from $4.3$

Find the prime factorization of the number below (use the divisibility tests where helpful). $78$

Find the volume of a rectangular box $8$ cm by $13$ cm by $7$ cm.

Evaluate the expression. $( 38 - 16 ) - ( 23 - 18 )$

Change the fraction to a mixed number in simplest form. $4 \frac { 52 } { 9 }$