Question 1

Which of the following is the correct definition of a fraction?

Accepted Answer

A number that represents a part of a whole, written in the form $$\frac{a}{b}$$ where $$b 
eq 0$$

Question 2

Simplify the following expression and write your answer in lowest terms: $$\frac{12}{18}.$$

Accepted Answer

$$\frac{2}{3}$$

Question 3

Which of the following is an example of a mixed number?

Accepted Answer

$$2\frac{1}{4}$$

Question 4

What is the least common denominator (LCD) of $$\frac{3}{8}$$ and $$\frac{5}{12}$$?

Accepted Answer

$$24$$

Question 5

Evaluate the following using order of operations: $$3 + 2 	imes (5 - 3)^2$.

Accepted Answer

$$19$$

Question 6

Convert $$0.075 to a $$percent.

Accepted Answer

$$7.5\%$$

Question 7

A medication is prescribed at a dosage of $$0.25$$ grams per kilogram of body weight. If a patient weighs $$80 kg$$, how many grams of medication should be administered?

Accepted Answer

$$20$$ grams

Question 8

Which of the following numbers is an example of a rational number?

Accepted Answer

$$\frac{7}{3}$$

Question 9

Simplify: $$-3(2x - 4) + 5x.$$

Accepted Answer

$$-x + 12$$

Question 10

Solve for $$x$$: $$4x - 7 = 13.$$

Accepted Answer

$$x = 5$$

Question 11

Which of the following is the equation of a line with slope $$m = 2$$ passing through the point $$(1, 3)$$?

Accepted Answer

Question 12

Calculate the slope of the line passing through the points $$(2, 5)$$ and $$(6, 13).$$

Accepted Answer

$$2$$

Question 13

Which of the following is the correct definition of a function?

Accepted Answer

A relation in which each input has exactly one output

Question 14

If $$f(x) = 3x^2$ - 2x + 1$$, what is $$f(-2)$$?

Accepted Answer

$$17$$

Question 15

A ladder leans against a wall making a $$60^\circ$$ angle with the ground. If the ladder is $$10 m $$long, how high up the wall does it reach? (Use $$\sin 60^\circ = 0.866)$$

Accepted Answer

$$8.66 m$$

Question 16

Simplify using the laws of exponents: $$x^3$$ \cdot $$x^5.$$

Accepted Answer

$$x^8$$

Question 17

Which of the following is a trinomial?

Accepted Answer

$$x^2 + 3x + 2$

Question 18

Divide: $$\frac{6x^3$ + 9x^2$}{3x}.$$

Accepted Answer

$$2x^2 + 3x$

Question 19

A rectangular garden has a length of $$12 m $$and a width of $$7 m. $$What is its area?

Accepted Answer

$$84$$ $$m^2$

MA1040 Math Fundamentals I: Comprehensive Study Notes

Guida di studio - Domande di pratica

Study guide - Flashcard