Question 1

What is the slope of a line that is parallel to the graph of $$-3x + y = 8$$?

Accepted Answer

$$-3$$

Question 2

What is the slope of a line that is perpendicular to the graph of $$-3x + y = 8$$?

Accepted Answer

$$\frac{1}{3}$$

Question 3

Find the equation of the line with slope $$2$$ passing through the point $$(3, -6). $$Write your answer in slope-intercept form.

Accepted Answer

$$y = 2x - 12$$

Question 4

Which of the following is the point-slope form of the equation for a line with slope $$m$$ passing through $$(x_1$, y_1$)$$?

Accepted Answer

$$y - y_1$ = m(x - x_1$)$$

Question 5

Convert $$47,100 to $$scientific notation.

Accepted Answer

$$4.71 	imes 10^4$

Question 6

Convert $$0.00082 to $$scientific notation.

Accepted Answer

$$8.2 	imes 10$$^{-4}$$

Question 7

Expand the following: $$(x + 3)^2$

Accepted Answer

$$x^2 + 6x + 9$

Question 8

Simplify the following: $$x^2$$ + $$x^2$$

Accepted Answer

$$2x^2$$

Question 9

Simplify and write the following in standard form: $$-2m + 12m - 2m$$

Accepted Answer

$$8m$$

Question 10

A biologist measures a bacteria population that doubles every hour. If the initial population is $$4.71 	imes 10^4$, what will the population be after 2$ hours? Express your answer in scientific notation.

Accepted Answer

$$1.884 	imes 10^5$

Question 11

Which of the following best describes the relationship between the slopes of two perpendicular lines?

Accepted Answer

Their slopes are negative reciprocals of each other.

Question 12

A chemist dilutes a solution from $$8.2 	imes 10$$^{-4}$$ M to 8.2$$ 	imes $$10^{-6} M. By $$what factor was the solution diluted?

Accepted Answer

$$100$$

Step-by-Step Guidance for Mixed Algebra Review

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