Question 1

Perform the indicated operations and simplify. $\frac { 1 } { 3 } + \frac { 1 } { 6 } + \frac { 3 } { 16 } + \frac { 1 } { 12 }$

Accepted Answer

A)  $\frac { 121 } { 289 }$ 
B)  $\frac { 125 } { 361 }$ 
C)  $\frac { 9 } { 25 }$ 
D)  $\frac { 37 } { 96 }$ 
E)  $\frac { 37 } { 48 }$ 
A)  $\frac { 121 } { 289 }$ 
B)  $\frac { 125 } { 361 }$ 
C)  $\frac { 9 } { 25 }$ 
D)  $\frac { 37 } { 96 }$ 
E)  $\frac { 37 } { 48 }$

Question 2

Find the root rounded to three significant digits. $\sqrt [ 3 ] { 671.48 }$

Accepted Answer

A)  8.757 
B)  8.76 
C)  9.80 
D)  9.801 
E)  9.800 
A)  8.757 
B)  8.76 
C)  9.80 
D)  9.801 
E)  9.800

Question 3

Find the perimeter of the figure.

Accepted Answer

A)  $11 \frac { 25 } { 37 }$ in. 
B)  $12 \frac { 19 } { 64 }$ in. 
C)  $10 \frac { 25 } { 32 }$ in. 
D)  $11 \frac { 25 } { 32 }$ in. 
E)  $11 \frac { 50 } { 69 }$ in. 
A)  $11 \frac { 25 } { 37 }$ in. 
B)  $12 \frac { 19 } { 64 }$ in. 
C)  $10 \frac { 25 } { 32 }$ in. 
D)  $11 \frac { 25 } { 32 }$ in. 
E)  $11 \frac { 50 } { 69 }$ in.

Question 4

Perform the indicated operations and simplify. $12 \frac { 11 } { 20 } - 3 \frac { 1 } { 6 } + 6 \frac { 1 } { 5 }$

Accepted Answer

The answer of Perform the indicated operations and simplify. \(12...

Question 5

Ohm's law, in another form, states that in a simple circuit the voltage E (measured in volts, V) equals the current I (measured in amps, A) times the resistance R (measured in ohms, $\Omega$ ). Find the voltage E measured in volts (V) in the electrical circuit.   E = __________ V

Accepted Answer

The answer of Ohm's law, in another form, states that...

Question 6

Find the prime factorization of the number below (use the divisibility tests where helpful). $130$

Accepted Answer

A)  $6 \cdot 5 \cdot 13$ 
B)  $2 \cdot 5 \cdot 6$ 
C)  $2 \cdot 5 \cdot 13$ 
D)  $2 \cdot 13 ^ { 2 }$ 
E)  $5 \cdot 5 \cdot 13$ 
A)  $6 \cdot 5 \cdot 13$ 
B)  $2 \cdot 5 \cdot 6$ 
C)  $2 \cdot 5 \cdot 13$ 
D)  $2 \cdot 13 ^ { 2 }$ 
E)  $5 \cdot 5 \cdot 13$

Question 7

A welder has $10 \frac { 2 } { 3 }$ feet of pipe which measures $\frac { 1 } { 2 }$ inches in diameter. How many pieces of pipe measuring $1 \frac { 3 } { 4 }$ feet in length can be cut from the $10 \frac { 2 } { 3 }$ feet of pipe?

Accepted Answer

A)  $6$ pieces 
B)  $5$ pieces 
C)  $7$ pieces 
D)  $9$ pieces 
E)  $4$ pieces 
A)  $6$ pieces 
B)  $5$ pieces 
C)  $7$ pieces 
D)  $9$ pieces 
E)  $4$ pieces

Question 8

Change the common fraction to a decimal. $\frac { 65 } { 16 }$

Accepted Answer

The answer of Change the common fraction to a decimal....

Question 9

Change the fraction to a percent. $\frac { 9 } { 10 }$ __________ %

Accepted Answer

The answer of Change the fraction to a percent. \(\frac...

Question 10

Find the area of the triangle where the base is b, and the altitude is h.
Let b = $32$  centimeters, and h = $10$ centimeters.
Area = __________ cm 2

Accepted Answer

Question 11

Change the decimal to a percent.
0.049
__________ %

Accepted Answer

The answer of Change the decimal to a percent.
0.049
__________ %...

Question 12

Change the fraction to a percent. $7 \frac { 3 } { 5 }$ __________ %

Accepted Answer

The answer of Change the fraction to a percent. \(7...

Question 13

Subtract. $5$ yd $1$ ft $2$ in. $2$ yd $\underline {2}$ ft $\underline {10}$ in.

Accepted Answer

A)  2 yd 1 ft 12 in. 
B)  2 yd 2 ft 8 in. 
C)  3 yd 1 ft 5 in. 
D)  3 yd 2 ft 5 in. 
E)  2 yd 1 ft 4 in. 
A)  2 yd 1 ft 12 in. 
B)  2 yd 2 ft 8 in. 
C)  3 yd 1 ft 5 in. 
D)  3 yd 2 ft 5 in. 
E)  2 yd 1 ft 4 in.

Question 14

The following formula is used to calculate piston displacement. Find the piston displacement to three decimal places, where c is a constant, d is the cylinder bore, S is the stroke, and N is the number of cylinders. $p = c d ^ { 2 } S N$ Let c = $0.7854$ , d = $5$ , S = $4$ and N = $7$ .

Accepted Answer

A)  P = 769.692 
B)  P = 561.903 
C)  P = 569.236 
D)  P = 549.780 
E)  P = 431.797 
A)  P = 769.692 
B)  P = 561.903 
C)  P = 569.236 
D)  P = 549.780 
E)  P = 431.797

Question 15

Evaluate the expression. $( 9 + 3 ) ( 3 + 4 ) \div 28 + ( 8 \times 15 ) \div ( 4 \times 3 )$

Accepted Answer

A)  16 
B)  13 
C)  23 
D)  8 
E)  7 
A)  16 
B)  13 
C)  23 
D)  8 
E)  7

Question 16

Subtract and check. $96,155 - 72,557$

Accepted Answer

The answer of Subtract and check. $96,155 - 72,557$...

Question 17

Change the fraction to a mixed number in simplest form. $\frac { 49 } { 7 }$

Accepted Answer

The answer of Change the fraction to a mixed number...

Question 18

Find the total board feet (bd ft) of $170$ identical pieces of lumber that each measure 1 inch thick × 8 inch wide × 14 feet long.

Accepted Answer

A)  $1,540 \frac { 2 } { 3 }$ bd ft 
B)  $1,637 \frac { 2 } { 3 }$ bd ft 
C)  $1,619 \frac { 2 } { 3 }$ bd ft 
D)  $1,586 \frac { 2 } { 3 }$ bd ft 
E)  $1,598 \frac { 2 } { 3 }$ bd ft 
A)  $1,540 \frac { 2 } { 3 }$ bd ft 
B)  $1,637 \frac { 2 } { 3 }$ bd ft 
C)  $1,619 \frac { 2 } { 3 }$ bd ft 
D)  $1,586 \frac { 2 } { 3 }$ bd ft 
E)  $1,598 \frac { 2 } { 3 }$ bd ft

Question 19

Find the total resistance in the parallel circuit.

Accepted Answer

The answer of Find the total resistance in the parallel...

Question 20

Change the percent to a fraction or mixed number in lowest terms. 71%

Accepted Answer

A)  $\frac { 71 } { 100 }$ 
B)  $1 \frac { 9 } { 50 }$ 
C)  $\frac { 1 } { 71 }$ 
D)  $\frac { 71 } { 100 }$. 
E)  $1 \frac { 21 } { 50 }$ 
A)  $\frac { 71 } { 100 }$ 
B)  $1 \frac { 9 } { 50 }$ 
C)  $\frac { 1 } { 71 }$ 
D)  $\frac { 71 } { 100 }$. 
E)  $1 \frac { 21 } { 50 }$

Perform the indicated operations and simplify. $\frac { 1 } { 3 } + \frac { 1 } { 6 } + \frac { 3 } { 16 } + \frac { 1 } { 12 }$

Find the root rounded to three significant digits. $\sqrt [ 3 ] { 671.48 }$

Find the perimeter of the figure.

Perform the indicated operations and simplify. $12 \frac { 11 } { 20 } - 3 \frac { 1 } { 6 } + 6 \frac { 1 } { 5 }$

Find the prime factorization of the number below (use the divisibility tests where helpful). $130$

A welder has $10 \frac { 2 } { 3 }$ feet of pipe which measures $\frac { 1 } { 2 }$ inches in diameter. How many pieces of pipe measuring $1 \frac { 3 } { 4 }$ feet in length can be cut from the $10 \frac { 2 } { 3 }$ feet of pipe?

Change the common fraction to a decimal. $\frac { 65 } { 16 }$

Change the fraction to a percent. $\frac { 9 } { 10 }$ __________ %

Find the area of the triangle where the base is b, and the altitude is h. Let b = $32$ centimeters, and h = $10$ centimeters. Area = __________ cm ²

Change the decimal to a percent. 0.049 __________ %

Change the fraction to a percent. $7 \frac { 3 } { 5 }$ __________ %

Subtract. $5$ yd $1$ ft $2$ in. $2$ yd $\underline {2}$ ft $\underline {10}$ in.

The following formula is used to calculate piston displacement. Find the piston displacement to three decimal places, where c is a constant, d is the cylinder bore, S is the stroke, and N is the number of cylinders. $p = c d ^ { 2 } S N$ Let c = $0.7854$ , d = $5$ , S = $4$ and N = $7$ .

Evaluate the expression. $( 9 + 3 ) ( 3 + 4 ) \div 28 + ( 8 \times 15 ) \div ( 4 \times 3 )$

Subtract and check. $96,155 - 72,557$

Change the fraction to a mixed number in simplest form. $\frac { 49 } { 7 }$

Find the total board feet (bd ft) of $170$ identical pieces of lumber that each measure 1 inch thick × 8 inch wide × 14 feet long.

Find the total resistance in the parallel circuit.

Change the percent to a fraction or mixed number in lowest terms. 71%

Signed Numbers and Powers of 10

The Metric System

Measurement

Polynomials: an Introduction to Algebra

Equations and Formulas

Ratio and Proportion

Graphing Linear Equations

Systems of Linear Equations

Factoring Algebraic Expressions

Quadratic Equations

Geometry

Right Triangle Trigonometry

Trigonometry With Any Angle

Basic Statistics

Binary and Hexadecimal Numbers

Filters

Exam 1: Basic Concepts

Perform the indicated operations and simplify. 13+16+316+112\frac { 1 } { 3 } + \frac { 1 } { 6 } + \frac { 3 } { 16 } + \frac { 1 } { 12 }31​+61​+163​+121​

Find the root rounded to three significant digits. 671.483\sqrt [ 3 ] { 671.48 }3671.48​

Find the perimeter of the figure.

Perform the indicated operations and simplify. 121120−316+61512 \frac { 11 } { 20 } - 3 \frac { 1 } { 6 } + 6 \frac { 1 } { 5 }122011​−361​+651​

Ohm's law, in another form, states that in a simple circuit the voltage E (measured in volts, V) equals the current I (measured in amps, A) times the resistance R (measured in ohms, Ω\OmegaΩ ). Find the voltage E measured in volts (V) in the electrical circuit. E = __________ V

Find the prime factorization of the number below (use the divisibility tests where helpful). 130130130

A welder has 102310 \frac { 2 } { 3 }1032​ feet of pipe which measures 12\frac { 1 } { 2 }21​ inches in diameter. How many pieces of pipe measuring 1341 \frac { 3 } { 4 }143​ feet in length can be cut from the 102310 \frac { 2 } { 3 }1032​ feet of pipe?

Change the common fraction to a decimal. 6516\frac { 65 } { 16 }1665​

Change the fraction to a percent. 910\frac { 9 } { 10 }109​ __________ %

Find the area of the triangle where the base is b, and the altitude is h. Let b = 323232 centimeters, and h = 101010 centimeters. Area = __________ cm 2

Change the decimal to a percent. 0.049 __________ %

Change the fraction to a percent. 7357 \frac { 3 } { 5 }753​ __________ %

Subtract. 555 yd 111 ft 222 in. 222 yd 2‾\underline {2}2​ ft 10‾\underline {10}10​ in.

Evaluate the expression. (9+3)(3+4)÷28+(8×15)÷(4×3)( 9 + 3 ) ( 3 + 4 ) \div 28 + ( 8 \times 15 ) \div ( 4 \times 3 )(9+3)(3+4)÷28+(8×15)÷(4×3)

Subtract and check. 96,155−72,55796,155 - 72,55796,155−72,557

Change the fraction to a mixed number in simplest form. 497\frac { 49 } { 7 }749​

Find the total board feet (bd ft) of 170170170 identical pieces of lumber that each measure 1 inch thick × 8 inch wide × 14 feet long.

Find the total resistance in the parallel circuit.

Change the percent to a fraction or mixed number in lowest terms. 71%

Signed Numbers and Powers of 10

The Metric System

Measurement

Polynomials: an Introduction to Algebra

Equations and Formulas

Ratio and Proportion

Graphing Linear Equations

Systems of Linear Equations

Factoring Algebraic Expressions

Quadratic Equations

Geometry

Right Triangle Trigonometry

Trigonometry With Any Angle

Basic Statistics

Binary and Hexadecimal Numbers

Filters

Perform the indicated operations and simplify. $\frac { 1 } { 3 } + \frac { 1 } { 6 } + \frac { 3 } { 16 } + \frac { 1 } { 12 }$

Find the root rounded to three significant digits. $\sqrt [ 3 ] { 671.48 }$

Perform the indicated operations and simplify. $12 \frac { 11 } { 20 } - 3 \frac { 1 } { 6 } + 6 \frac { 1 } { 5 }$

Find the prime factorization of the number below (use the divisibility tests where helpful). $130$

A welder has $10 \frac { 2 } { 3 }$ feet of pipe which measures $\frac { 1 } { 2 }$ inches in diameter. How many pieces of pipe measuring $1 \frac { 3 } { 4 }$ feet in length can be cut from the $10 \frac { 2 } { 3 }$ feet of pipe?

Change the common fraction to a decimal. $\frac { 65 } { 16 }$

Change the fraction to a percent. $\frac { 9 } { 10 }$ __________ %

Find the area of the triangle where the base is b, and the altitude is h. Let b = $32$ centimeters, and h = $10$ centimeters. Area = __________ cm ²

Change the fraction to a percent. $7 \frac { 3 } { 5 }$ __________ %

Subtract. $5$ yd $1$ ft $2$ in. $2$ yd $\underline {2}$ ft $\underline {10}$ in.

Evaluate the expression. $( 9 + 3 ) ( 3 + 4 ) \div 28 + ( 8 \times 15 ) \div ( 4 \times 3 )$

Subtract and check. $96,155 - 72,557$

Change the fraction to a mixed number in simplest form. $\frac { 49 } { 7 }$

Find the total board feet (bd ft) of $170$ identical pieces of lumber that each measure 1 inch thick × 8 inch wide × 14 feet long.