Question 1

Which of the following sets contains only real numbers?

Accepted Answer

$$\{ -2, \sqrt{3}, \pi \}$$

Question 2

Simplify the expression $$2^3$$ 	imes $$2^4$$ using the properties of exponents.

Accepted Answer

$$2^7$$

Question 3

Evaluate the expression $$5 + 2 	imes (3^2$ - 1)$$ using the order of operations.

Accepted Answer

$$19$$

Question 4

A nurse needs to convert 250 milliliters to liters for a medication dosage. What is the correct conversion?

Accepted Answer

$$0.25$$ liters

Question 5

Which property of real numbers is illustrated by the equation $$a + b = b + a$$?

Accepted Answer

Commutative Property

Question 6

Simplify the expression $$-3x + 4x - 2x.$$

Accepted Answer

$$-1x$$

Question 7

Solve the equation $$2x - 5 = 9$$ for $$x.$$

Accepted Answer

$$x = 7$$

Question 8

A chemist mixes two solutions. The first contains $$x$$ grams of salt, and the second contains $$2x + 5$$ grams. If the total salt is $$25$$ grams, what is the value of $$x$$?

Accepted Answer

$$x = 5$$

Question 9

Which of the following is the correct scientific notation for $$0.00056$$?

Accepted Answer

$$5.6 	imes 10$$^{-4}$$

Question 10

Add the polynomials: $$(3x^2 + 2x - 5$$) + $$(x^2 - 4x + 7$$)$$.

Accepted Answer

$$4x^2 - 2x + 2$

Question 11

Multiply the polynomials: $$(x + 2)(x - 3).$$

Accepted Answer

$$x^2 - x - 6$

Question 12

Divide the polynomial $$6x^2 - 9x$ by 3x$.

Accepted Answer

$$2x - 3$$

Question 13

A car rental company charges a flat fee of $$\20$ plus $$\$$0.15$$ per mile driven. Write an expression for the total cost $$C if$$ $$m$$ miles are driven.

Accepted Answer

$$C = 20 + 0.15m$$

Question 14

Which of the following points lies on the line $$y = 2x + 1$$?

Accepted Answer

$$(2, 5)$$

Question 15

Find the slope of the line passing through the points $$(1, 2)$$ and $$(3, 8).$$

Accepted Answer

$$4$$

Question 16

Which equation represents a line with a slope of $$-2$$ and a $$y-$$intercept of $$5$$?

Accepted Answer

$$y = -2x + 5$$

Question 17

A patient’s temperature increases at a rate of $$0.5$$ degrees per hour. If the initial temperature is $$98.6$$ degrees, what will the temperature be after $$4$$ hours?

Accepted Answer

$$100.6$$ degrees

Question 18

Solve the inequality $$3x - 7 \u003c 8.$$

Accepted Answer

$$x \u003c 5$$

Question 19

Which of the following is a special product formula?

Accepted Answer

$$(a + b)^2$ = a^2$ + 2ab + b^2$

Question 20

A rectangular garden has a length of $$3x + 2$$ meters and a width of $$x - 1$$ meters. What is the expression for the area?

Accepted Answer

$$(3x + 2)(x - 1)$$

Beginning Algebra 095: Weekly Agenda and Topic Overview

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