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CHAPTER 1 PRACTICE TEST

As a study aid, we have included complete solutions for each Practice Test problem at the back of this book.

In Problems 1–5, evaluate the given expressions. In Problems 3 and 5, the numbers are approximate.

$\sqrt{9 + 16}$ $\sqrt{9 + 16}$
$\frac{(7) (- 3) (- 2)}{(- 6) (0)}$ $\frac{(7) (- 3) (- 2)}{(- 6) (0)}$
$\frac{3.372 \times 10^{- 3}}{7.526 \times 10^{12}}$ $\frac{3.372 \times 10^{- 3}}{7.526 \times 10^{12}}$
$\frac{(+ 6) (- 2) - 3 (- 1)}{| 2 - 5 |}$ $\frac{(+ 6) (- 2) - 3 (- 1)}{| 2 - 5 |}$
$\frac{346.4 - 23.5}{287.7} - \frac{{0.944}^{3}}{(3.46) (0.109)}$ $\frac{346.4 - 23.5}{287.7} - \frac{{0.944}^{3}}{(3.46) (0.109)}$

In Problems 6–12, perform the indicated operations and simplify. When exponents are used, use only positive exponents in the result.

${(2 a^{0} b^{- 2} c^{3})}^{- 3}$ ${(2 a^{0} b^{- 2} c^{3})}^{- 3}$
${(2 x + 3)}^{2}$ ${(2 x + 3)}^{2}$
$3 m^{2} (a m - 2 m^{3})$ $3 m^{2} (a m - 2 m^{3})$
$\frac{8 a^{3} x^{2} - 4 a^{2} x^{4}}{- 2 a x^{2}}$ $\frac{8 a^{3} x^{2} - 4 a^{2} x^{4}}{- 2 a x^{2}}$
$\frac{6 x^{2} - 13 x + 7}{2 x - 1}$ $\frac{6 x^{2} - 13 x + 7}{2 x - 1}$
$(2 x - 3) (x + 7)$ $(2 x - 3) (x + 7)$
$3 x - [4 x - (3 - 2 x)]$ $3 x - [4 x - (3 - 2 x)]$
Solve for y: $5 y - 2 (y - 4) = 7$ $5 y - 2 (y - 4) = 7$
Solve for x: $3 (x - 3) = x - (2 - 3 d)$ $3 (x - 3) = x - (2 - 3 d)$
Convert $245 lb / {ft}^{3} to kg / L .$ $245 lb / {ft}^{3} to kg / L .$
Express 0.0000036 in scientific notation.
List the numbers $- 3, | - 4 |, - π, \sqrt{2},$ $- 3, | - 4 |, - π, \sqrt{2},$ and 0.3 in numerical order.
What fundamental law is illustrated by $3 (5 + 8) = 3 (5) + 3 (8) ?$ $3 (5 + 8) = 3 (5) + 3 (8) ?$
1. How many significant digits are in the number 3.0450?
2. Round it off to two significant digits.
If P dollars is deposited in a bank that compounds interest n times a year, the value of the account after t years is found by evaluating $P {(1 + i / n)}^{n t},$ $P {(1 + i / n)}^{n t},$ where i is the annual interest rate. Find the value of an account for which $P = $1000, i = 5 %, n = 2,$ $P = $1000, i = 5 %, n = 2,$ and $t = 3 years$ $t = 3 years$ (values are exact).
In finding the illuminance from a light source, the expression $8 {(100 - x)}^{2} + x^{2}$ $8 {(100 - x)}^{2} + x^{2}$ is used. Simplify this expression.
The equation $L = L_{0} [1 + α (t_{2} - t_{1})]$ $L = L_{0} [1 + α (t_{2} - t_{1})]$ is used when studying thermal expansion. Solve for $t_{2} .$ $t_{2} .$
An alloy weighing 20 lb is 30% copper. How many pounds of another alloy, which is 80% copper, must be added for the final alloy to be 60% copper?

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Table of Contents for CHAPTER 1 PRACTICE TEST

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Table of Contents for
CHAPTER 1 PRACTICE TEST