Math Post-Test – TSI Assessment Preparation

Subtract. Write the answer as a mixed number.

$11\frac{4}{7} - \frac{19}{28}$

a. 10

$9 \frac{25}{28}$

$11\frac{25}{28}$

$10\frac{25}{28}$

Start by writing both fractions using the LCD: 28

Subtract fractions first. We will need to borrow one from the 11.

Now we can subtract.

This question is similar to question 9 on the pretest.
The correct response: d

Find the average of 99, 107, 87, 103, and 84.

a. 99

b. 80

c. 96

d. 107

To find an average,

(1) Find the sum

99 + 107 + 87 + 103 + 84 = 480

(2) Divide by the count.

480 / 5 = 96

This question is similar to question 15 on the pretest.
The correct response: c

Add. -16 + (-64) + 64 + (-52)

a. 36

b. -196

c. -36

d. -68

Group all negative terms and group all positive terms.

-16 + (-64) + 64 + (-52)

= {-16 + (-64) + (-52)} + 64

= -132 + 64

= -68

This question is similar to question 1 on the pretest.
The correct response: d

Multiply.

$0.169 \cdot 1.1$

a. 0.1859

b. 0.0338

c. 1.269

d. 0.1759

Multiply without decimals.

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

0.169 has 3 decimal places

1.1 has 1 decimal place

The product will have 4 decimal places

0.1859

This question is similar to question 13 on the pretest.
The correct response: a

Sales of frozen pizza for a club fundraiser increased from 500 one year to 705 the next year. What was the percent increase?

a. 70.9%

b. 59%

c. 41%

d. 29.1%

Percent Increase = Amount of Increase / Original Amount

Percent Increase = (705 - 500) / 500

Percent Increase = 205/500 = 41/100 = .41 = 41%

This question is similar to question 20 on the pretest.
The correct response: c

Add. 502.9513 + 8.987 + 18.64 + 8149.937

a. 8680.5053

b. 8680.6163

c. 8680.5153

d. 8680.5143

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

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

This question is similar to question 11 on the pretest.
The correct response: c

Divide.

$-140 \div (-7)$

a. -20

b. 10

$\frac{1}{20}$

d. 20

Negative divided by negative equals positive.

This question is similar to question 4 on the pretest.
The correct response: d

Add. Simplify the answer.

$\frac{11}{24} + \frac{3}{36} + \frac{15}{48}$

$\frac{29}{288}$

$\frac{95}{24}$

$\frac{41}{48}$

$\frac{41}{24}$

Start by finding the Least Common Denominator: 288

Rewrite each fraction so that it has the common denominator.

This question is similar to question 8 on the pretest.
The correct response: c

John Lee's savings account has a balance of $1,373. After 15 months, what will the amount of interest be at 5.7% per year?

a. $97.83

b. $91.53

c. $93.27

d. $78.26

Interest = Principal x Rate x Time

Interest = 1,373 x .057 x 1.25 = 97.83

$97.83 is earned each year.

This question is similar to question 17 on the pretest.
The correct response: a

Solve for x.

$\frac{x}{150} = \frac{4}{25}$

a. 4

b. 24

c. 150

d. 25

Solve the proportion by taking cross products.

25x = 150(4)

25x = 600

Divide by 25:

x = 600/25 = 24

This question is similar to question 19 on the pretest.
The correct response: b

Multiply.

$(-8) \cdot (-3) \cdot (-5)$

a. -120

b. -20

c. 120

d. -130

Multiply the absolute values.

Negative x Negative = Positive,

Negative x Positive = Negative

This question is similar to question 3 on the pretest.
The correct response: a

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

$-2\frac{1}{9} \div 1\frac{1}{2}$

$-1\frac{4}{9}$

$-2\frac{11}{27}$

$1\frac{11}{27}$

$-1\frac{11}{27}$

Start by writing each mixed number as an improper fraction. $-2\frac{1}{-9} = -\frac{19}{9}$ $1\frac{1}{2} = \frac{3}{2}$

Change the division to multiplication. $\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$ $-\frac{19}{9} \div \frac{2}{3} = -\frac{38}{27}$

Cancel factors common to the numerator and denominator, if any are present. Then multiply across. Remember:

negative x negative = positive

positive x negative = negative

$-\frac{19}{9} \times \frac{2}{3} = -\frac{38}{27}$

Convert the answer to a mixed number. $-\frac{38}{27} = -1\frac{11}{27}$

This question is similar to question 10 on the pretest.
The correct response: d

Solve for r. 8r + 7 = 39

a. 24

b. 2

c. 4

d. 28

Isolate the variable term.

This question is similar to question 18 on the pretest.
The correct response: c

Subtract. -13 - (-12)

a. 25

b. -1

c. 1

d. -25

Change the subtraction to addition.

-13 - (-12) = -13 + 12 = -1

This question is similar to question 2 on the pretest.
The correct response: b

Simplify.

$\frac{24}{56}$

$\frac{3}{8}$

$\frac{24}{56}$

$\frac{3}{7}$

$\frac{8}{7}$

Cancel out the common factor.

This question is similar to question 7 on the pretest.
The correct response: c

Divide:

$14.49 \div 6.9$

a. 2.1

b. 21

c. 3.1

d. 0.21

Set up the division problem. $\require{enclose} 6.9\enclose{longdiv}{14.49}$

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. $\require{enclose} 69\enclose{longdiv}{144.9}$

Divide. Carry the decimal point up.

This question is similar to question 14 on the pretest.
The correct response: a

Subtract. 10.7381 - 0.1879

a. 10.5402

b. 10.5612

c. 10.5512

d. 10.5502

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

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

This question is similar to question 12 on the pretest.
The correct response: d

Evaluate x + y for x = 3 and y = -8 .

a. -5

b. 11

c. -11

d. -24

Substitute. x + y = 3 + (-8) = -5

This question is similar to question 6 on the pretest.
The correct response: a

Simplify.

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

a. 92

b. 392

c. 384

d. 113

Use Order of Operations.

(1) Clear Parentheses

4(2+3) ² -2(6-4) ² = 4(5) ² -2(2) ²

(2) Apply exponents

4(5) ² -2(2) ² = 4(25) - 2(4)

(3) Complete each multiplication.

4(25) - 2(4) = 100 - 8

(4) Subtract.

100 - 8 = 92

This question is similar to question 5 on the pretest.
The correct response: a

An employee was paid $65,552 during the first half of last year. During the second half he was paid $97,450. How much more was his income during the second half?

a. $162,992

b. $163,002

c. $31,898

d. $31,888

"How much more," is making a comparison between two amounts. Subtract the two amounts.

This question is similar to question 16 on the pretest.
The correct response: c