# Math Pretest

### Question 1

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

Start by grouping terms that have the same sign.

### Question 2

Subtract. -10 - (-6)

Change the subtraction to addition.

a - b = a + (-b)

### Question 3

Multiply. $-5\cdot(-6)\cdot(-9)$

Multiply the absolute values.

Negative x Negative = Positive,

Negative x Positive = Negative

### Question 4

Divide. $-56\div4$

Negative divided by negative = Positive

Negative divided by positive = Negative

Positive divided by negative = Negative

### Question 5

Simplify. $3\cdot(5+3)^2-4\times(6-4)^2$

Order of Operations:

Parentheses

Exponents and Roots

Multiplication and Division

### Question 6

Evaluate x + y for x = 5 and y = -7.

Substitute the values for x and y.

### Question 7

Simplify. $\frac{16}{18}$

Cancel out the common factor.

### Question 8

Add. Simplify the answer. $\frac{4}{5} + \frac{1}{10} + \frac{5}{6}$

Find the common denominator.

### Question 9

Subtract. Write the answer as a mixed number. $13\frac{3}{4} - 4\frac{8}{9}$

1. Write each fraction using the same LCD.

2. Subtract fractions first. You may need to borrow.

3. Reduce the final answer, if possible.

### Question 10

Divide. Write the answer either as a whole number or as a mixed number. $5\frac{2}{9} \div 1\frac{5}{6}$

1. Start by writing each mixed number as an improper fraction.
2. Change the division to multiplication. $\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$
3. Cancel factors common to the numerator and denominator.
4. Then multiply across.
5. Convert the answer to a mixed number.

### Question 11

Add. 83.42 + 7 + 54.14 + 23.611

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

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

### Question 12

Subtract. 13 - 6.53

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

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

### Question 13

Multiply. $0.108 \cdot 0.09$

Multiply without decimals.
The decimal place for the product will be equal to the sum of the decimal places of the factors.

### Question 14

Divide: 0.06422 ÷ 0.038

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.

### Question 15

Find the average of 63, 68, 54, 64, and 51.

To find an average, (1) Find the sum and (2) Divide by the count.

### Question 16

The price of a car is $16,935. The manufacturer offers a rebate of$841. What is the final price of the car?

A rebate is a discount in price.

### Question 17

A savings bank invests \$58,800 in municipal bonds and earns 12% per year on the investment. How much money is earned per year?

Interest = Principal x Rate x Time

### Question 18

Solve for r. 6r + 6 = 48

Isolate the variable.

### Question 19

Solve for x. $\frac{x}{26} = \frac{4}{13}$

Solve the proportion by taking cross products.

### Question 20

A student got 20 problems correct on a quiz. On a second attempt, the student got 30 problems correct. What was the percent of increase?

Percent Increase = Amount of Increase / Original Amount