Test - Intermediate Mathematics 2

1. Which of the following describes the addition $(-5) + (-6)?$

• i) Starting at $0$ on the number line, move left $5$ units and then move left another $6$ units.
• ii) Starting at $-5$ on the number line, move left $6$ units.
• iii) Your bank account is overdrawn by \$5.00 and you write a cheque for \$6.00.

i only     ii only     iii only     i and ii only     all

2. Evaluate $8 - 3(x - 2) - 5x$ given $x = -3.$

$-14$     $-10$     $30$     $38$     none of these

3. Multiply $(x - 7)(2x + 1)$

$2x^2 - 7$     $2x^2 + 15x - 7$     $2x^2 - 15x - 7$    
$2x^2 - 13x - 7$     none of these

4. If $3x + 4 = 15,$ then $x$ is closest to

$2$     $3$     $4$     $5$     $6$

5. Simplify $\dfrac{x^4 \cdot x^2}{x^8}$

$1$     $\dfrac{1}{x^2}$     $x^2$     $\dfrac{x^2}{2}$     $\dfrac{1}{2}$

6. One factor of $x^2 - 9x - 36$ is

$x + 2$     $x + 3$     $x + 4$     $x + 6$     none of these

7. The length of a rectangle is 3 times its width. If $w$ represents the width, then the area of the rectangle is

$w^2 + 3w$     $3w^2$     $4w$     $3w$     $2w + 3$

8. If the price of a CD is reduced 20% to a sale price of \$11.96, then the original price is closest to:

\$13     \$14     \$15     \$16     \$17