Question 1

A company is planning to distribute $$-4 + 3 - 12$$ dollars among its employees as a bonus. What is the total amount to be distributed?

Accepted Answer

$$-13$$

Question 2

Simplify the following expression: $$\frac{2}{5} + \frac{3}{6} - \frac{1}{2}$$

Accepted Answer

Question 3

A scientist measures a temperature change as $$-11.5 - (-7.2)$$ degrees. What is the net change?

Accepted Answer

$$-4.3$$

Question 4

Simplify $$8 + (-5) - (-6) - 10 to $$find the net change in a bank account after these transactions.

Accepted Answer

$$-1$$

Question 5

Multiply $$2.8 	imes (-5.49) to $$find the change in temperature after 2.8 hours if the rate is $$-5.49$$ degrees per hour.

Accepted Answer

$$-15.372$$

Question 6

Evaluate $$-5 	imes 5 	imes (-2) 	imes (-4) to $$find the result of a chemical reaction where each factor represents a change in concentration.

Accepted Answer

$$-200$$

Question 7

Divide $$-1.6 \div 0.02 to $$find the number of doses a patient receives if each dose is $$0.02$$ grams and the total is $$-1.6$$ grams.

Accepted Answer

$$-80$$

Question 8

Simplify $$24 - (16 \div 4) + 5 	imes 23 to $$find the total cost after discounts and additional charges.

Accepted Answer

$$60$$

Question 9

Evaluate $$10x - 2y^2$ for x = -2$ and y = 3$ to find the value of a function in a physics experiment.

Accepted Answer

$$-38$$

Question 10

Simplify $$9x - 8 + 2x - x + 3 to $$find the total profit in terms of $$x$$ after combining all sources.

Accepted Answer

$$10x - 5$$

Question 11

Solve the equation $$9x - 12 = 5x + 20 to $$find the value of $$x in a $$business scenario.

Accepted Answer

$$8$$

Question 12

Write the phrase 'Five less than four times a number' as a variable expression.

Accepted Answer

$$4x - 5$$

Question 13

Solve the proportion $$\frac{27}{9} = \frac{18}{x} to $$find the unknown value $$x in a $$recipe adjustment.

Accepted Answer

$$6$$

Question 14

Sarah can type and spell check 6 pages in 22 minutes. How long will it take her to type and spell check 27 pages, assuming the rate stays constant?

Accepted Answer

$$99$$ minutes

Question 15

What number is $$20\% of$$ $$62$$?

Accepted Answer

$$310$$

Question 16

If $$60\% of $$the accountants in a business are female and there are $$210$$ accountants altogether, how many accountants are female?

Accepted Answer

$$126$$

Question 17

Complete the ordered pair solution for the equation $$2x - 4y = 4$$ for $$(3,\,\,\,\,).$$

Accepted Answer

$$2$$

Question 18

Solve the equation $$2 - 3(3n - 2) = -10 to $$find the value of $$n in a $$budgeting scenario.

Accepted Answer

$$2$$

Question 19

Four times the sum of a number and two is twenty-four less than eight times the number. Find the number.

Accepted Answer

$$8$$

Question 20

Write the sentence as an equation: 'Three times the difference of 15 and a number is $$-27$$.'

Accepted Answer

$$3(15 - x) = -27$$

Step-by-Step Guidance for Developmental Math 2 Skills Assessment

스터디 가이드 - 연습 문제