Group all negative terms and group all positive terms.

-6 + (-73) + 56 + (-33)

= {-6 + (-73) + (-33)} + 56

= -112 + 56

= -56

The correct response: b

Change the subtraction to addition.

-10 - (-6) = -10 + 6 = -4

The correct response: c

Multiply the absolute values.

Negative x Negative = Positive,

Negative x Positive = Negative

$-5\cdot(-6)\cdot(-9) = -(5)(6)(9) = -270$';

The correct response: b

Negative divided by positive equals negative.

$-56\div4= -14$

The correct response: d

Use Order of Operations.

(1) Clear Parentheses

3 (5+3) ² -4 (6-4) ² = 3( 8 ) ² -4( 2 ) ²

(2) Apply exponents

3 (8) ² -4 (2) ² = 3(64) - 4(4)

(3) Complete each multiplication.

3(64) - 4(4) = 192 - 16

(4) Subtract.

192 - 16 = 176

The correct response: c

Substitute. x + y = 5 + (-7) = -2

The correct response: d

Cancel out the common factor.

$\frac{16}{18} = \frac{2\cdot8}{2\cdot9} = \frac{8}{9}$

The correct response: a

Start by finding the Least Common Denominator: 30

Rewrite each fraction so that it has the common denominator.

$\frac{4}{5} \cdot \frac{6}{6} + \frac{1}{10} \cdot \frac{3}{3} + \frac{5}{6} \cdot \frac{5}{5}$

$= \frac{24}{30} + \frac{3}{30} + \frac{25}{30}$

$= \frac{24 + 3 + 25}{30}$

$= \frac{52}{30}$

$= \frac{26}{15}$

The correct response: c

Start by writing both fractions using the LCD: 36

$13\frac{3}{4} = 13\frac{3\cdot9}{4\cdot9} = 13\frac{27}{36}$

Subtract fractions first. We will need to borrow one from the 13.

$4\frac{8}{9} = 4\frac{8\cdot4}{9\cdot4} = 4\frac{32}{36}$

Now we can subtract.

$12\frac{63}{36} - 4\frac{32}{36} = 8\frac{31}{36}$

The correct response: d

Start by writing each mixed number as an improper fraction.

$5\frac{2}{9} = \frac{47}{9}$

$1\frac{5}{6} = \frac{11}{6}$

Change the division to multiplication.

$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$

$\frac{47}{9} \div \frac{11}{6} = \frac{47}{9} \times \frac{6}{11}$

Cancel factors common to the numerator and denominator. Then multiply across.

$\frac{47}{9} \times \frac{6}{11} = \frac{47}{3} \times \frac{2}{11} = \frac{94}{33}$

Convert the answer to a mixed number.

$\frac{94}{33} = 2\frac{28}{33}$

The correct response: c

Write the numbers so that the decimal places are lined up.

Add zeros so that each number has the same number of decimal places.

$\begin{align} 83.420 \\ 7.000 \\ 54.140 \\ 23.611 \\ \overline{168.171} \\ \end{align}$

The correct response: b

Write the numbers so that the decimal places are lined up.

Add zeros so that each number has the same number of decimal places.

13.00

- 6.53

6.47

The correct response: b

Multiply without decimals.

The decimal place for the product will be equal to the sum of the decimal places of the factors.

0.108 has 3 decimal places

0.09 has 2 decimal places

The product will have 5 decimal places.

0.00972

The correct response: a

Set up the division problem.

Move the decimal place in the divisor so that the divisor becomes a whole number. Move the decimal place in the dividend the same number of places.

Divide. Carry the decimal point up.

The correct response: a

To find an average,

(1) Find the sum

63+68+54+64+51=300

(2) Divide by the count.

300 / 5 = 60

The correct response: a

A rebate is a discount in price. Subtract to find the final price of the car.

$16,935

- $ 841

$16,094

The correct response: d

Interest = Principal x Rate x Time

Interest = 58,800 x 0.12 x 1 = 7056.00

$7056 is earned each year.

The correct response: d

Isolate the variable term.

6r + 6 - 6 = 48 - 6

6r = 42

r = 42/6 = 7

The correct response: b

Solve the proportion by taking cross products.

13x = 26(4)

13x = 104

Divide by 13:

x = 104/13 = 8

The correct response: d

Percent Increase = Amount of Increase / Original Amount

Percent Increase = (30 - 20) / 20

Percent Increase = 10/20 = 1/2 = .5 = 50%

The correct response: d