Question 1

A car travels 180 miles in 3 hours. What is the unit rate of the car's speed in miles per hour?

Accepted Answer

$$60$$ miles per hour

Question 2

Which of the following numbers is an irrational number?

Accepted Answer

$$\sqrt{2}$$

Question 3

A rectangle has a length of $$8 cm $$and a width of $$3.5 cm. $$What is its area?

Accepted Answer

$$28 cm$^2$$

Question 4

Solve for $$x$$: $$3(x - 2) = 2x + 5$$

Accepted Answer

$$x = 11$$

Question 5

Which of the following graphs represents a proportional relationship?

Accepted Answer

A straight line passing through the origin

Question 6

If $$f(x) = 2x + 3$$, what is $$f(5)$$?

Accepted Answer

$$13$$

Question 7

A store is having a $$20\%$$ off sale. If a jacket originally costs $$\60$, what is the sale price?

Accepted Answer

$$\48$

Question 8

Which of the following is equivalent to $$5(x + 2) - 3x$$?

Accepted Answer

$$2x + 10$$

Question 9

A triangle has side lengths $$6 cm$$, $$8 cm$$, and $$10 cm. Is $$this a right triangle?

Accepted Answer

Yes, because $$6^2$$ + $$8^2$$ = $$10^2$$

Question 10

Which of the following is the solution to the inequality $$2x - 5 \u003e 7$$?

Accepted Answer

$$x \u003e 6$$

Question 11

What is the volume of a rectangular prism with length $$4 m$$, width $$3 m$$, and height $$2.5 m$$?

Accepted Answer

$$30 m$^3$$

Question 12

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

Accepted Answer

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

Question 13

A scale drawing uses a scale of $$1:50. If a $$wall is $$3 cm $$long on the drawing, what is the actual length of the wall?

Accepted Answer

$$150 cm$$

Question 14

Which of the following expressions is equivalent to $$x^3$$ 	imes $$x^5$$?

Accepted Answer

$$x^8$$

Question 15

A bag contains $$5$$ red, $$7$$ blue, and $$8$$ green marbles. What is the probability of randomly selecting a blue marble?

Accepted Answer

$$\frac{7}{20}$$

Question 16

Which of the following is the solution to $$\frac{2}{3}x = 8$$?

Accepted Answer

$$x = 12$$

Question 17

Which of the following is a function?

Accepted Answer

Each input has exactly one output

Question 18

If the mean of the data set $$\{4, 7, 10, 9\} is $$increased by $$3$$, what is the new mean?

Accepted Answer

$$12$$

Question 19

A line passes through the points $$(2, 5)$$ and $$(4, 9). $$What is the slope of the line?

Accepted Answer

$$2$$

Question 20

Which of the following is the solution to $$|x - 3| = 7$$?

Accepted Answer

$$x = 10 or$$ $$x = -4$$

Compacted Math 6+/7+ Syllabus: Structured Study Guide for Prealgebra Foundations

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