Math Pretest – TSI Assessment Preparation

Question 1

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

a. -168

b. -56

c. 10

d. -44

Start by grouping terms that have the same sign.

Group all negative terms and group all positive terms.

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

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

= -112 + 56

= -56

The correct response: b

Question 2

Subtract. -10 - (-6)

a. 16

b. 4

c. -4

d. -16

Change the subtraction to addition.

a - b = a + (-b)

Change the subtraction to addition.

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

The correct response: c

Question 3

Multiply.

a. -20

b. -270

c. 270

d. 39

Multiply the absolute values.

Negative x Negative = Positive,

Negative x Positive = Negative

Multiply the absolute values.

Negative x Negative = Positive,

Negative x Positive = Negative

The correct response: b

Question 4

Divide.

a. -24

b. 14

d. -14

Negative divided by negative = Positive

Negative divided by positive = Negative

Positive divided by negative = Negative

Negative divided by positive equals negative.

The correct response: d

Question 5

Simplify.

a. 308

b. 512

c. 176

d. 752

Order of Operations:

Parentheses

Exponents and Roots

Multiplication and Division

Addition and Subtraction

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

Question 6

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

a. -12

b. -35

c. 12

d. -2

Substitute the values for x and y.

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

The correct response: d

Question 7

Simplify.

Cancel out the common factor.

The correct response: a

Question 8

Add. Simplify the answer.

Find the common denominator.

Start by finding the Least Common Denominator: 30

Rewrite each fraction so that it has the common denominator.

The correct response: c

Question 9

Subtract. Write the answer as a mixed number.

a. 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.

Start by writing both fractions using the LCD: 36

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

Now we can subtract.

The correct response: d

Question 10

Divide. Write the answer either as a whole number or as a mixed number.

Start by writing each mixed number as an improper fraction.
Change the division to multiplication.
Cancel factors common to the numerator and denominator.
Then multiply across.
Convert the answer to a mixed number.

Start by writing each mixed number as an improper fraction.

Change the division to multiplication.

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

Convert the answer to a mixed number.

The correct response: c

Question 11

Add. 83.42 + 7 + 54.14 + 23.611

a. 168.181

b. 168.171

c. 168.271

d. 169.171

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

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

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

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

The correct response: b

Question 12

Subtract. 13 - 6.53

a. 6.57

b. 6.47

c. 20.53

d. 19.53

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

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

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

Question 13

Multiply.

a. 0.00972

b. 0.0000972

c. 0.000972

d. 0.972

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

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

Question 14

Divide: 0.06422 ÷ 0.038

a. 1.69

b. 169

c. 0.169

d. 16.9

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.

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

Question 15

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

a. 60

b. 50

c. 63

d. 58

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

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

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. $15,994

b. $17,776

c. $16,084

d. $16,094

A rebate is a discount in price.

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

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?

a. $490,000

b. $70,056

c. $49,000

d. $7056

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

Question 18

Solve for r. 6r + 6 = 48

a. 40

b. 7

c. 36

d. 2

Isolate the variable.

Isolate the variable term.

6r + 6 - 6 = 48 - 6

6r = 42

r = 42/6 = 7

The correct response: b

Question 19

Solve for x.

a. 16

b. 2

d. 8

Solve the proportion by taking cross products.

13x = 26(4)

13x = 104

Divide by 13:

x = 104/13 = 8

The correct response: d

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?

a. 10%

b. 15%

c. 30%

d. 50%

Percent Increase = Amount of Increase / Original Amount

Percent Increase = (30 - 20) / 20

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

The correct response: d

0 out of 0 correct.