Question 1

A recipe calls for $$\frac{3}{4}$$ cup of sugar for every 2 cups of flour. If you want to make a batch using 6 cups of flour, how much sugar should you use?

Accepted Answer

$$2\frac{1}{2}\ 	ext{cups}$$

Question 2

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

Accepted Answer

$$60\ 	ext{miles per hour}$$

Question 3

Which of the following numbers is both a rational number and an integer?

Accepted Answer

$$-5$$

Question 4

What is the value of $$| -7 | + | 3 |$$?

Accepted Answer

$$10$$

Question 5

Simplify the expression: $$2(x + 3) - 4x$$

Accepted Answer

$$-2x + 6$$

Question 6

A store is having a 25% off sale. If a jacket originally costs $$\48$, what is the sale price?

Accepted Answer

$$\36$

Question 7

Solve for $$x$$: $$\frac{2}{3}x = 8$$

Accepted Answer

$$x = 12$$

Question 8

Which of the following is the equation of a line with a slope of $$-2$$ and a $$y-$$intercept of $$5$$?

Accepted Answer

$$y = -2x + 5$$

Question 9

A rectangular prism has a length of $$5\ 	ext{cm}$$, width of $$3\ 	ext{cm}$$, and height of $$4\ 	ext{cm}. $$What is its volume?

Accepted Answer

$$60\ 	ext{cm}^3$$

Question 10

If $$f(x) = 3x - 2$$, what is $$f(-4)$$?

Accepted Answer

$$-14$$

Question 11

A triangle has side lengths of $$6\ 	ext{cm}$$, $$8\ 	ext{cm}$$, and $$10\ 	ext{cm}. Is $$this triangle a right triangle?

Accepted Answer

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

Question 12

Which of the following is equivalent to $$5^0$$?

Accepted Answer

$$1$$

Question 13

A scale drawing uses a scale of $$1:50. If a $$wall is $$6\ 	ext{cm}$$ long in the drawing, what is the actual length of the wall?

Accepted Answer

$$300\ 	ext{cm}$$

Question 14

Which of the following is an example of a statistical question?

Accepted Answer

How many hours do students in this class spend on homework each week?

Question 15

If the probability of raining tomorrow is $$0.2$$, what is the probability that it will not rain?

Accepted Answer

$$0.8$$

Question 16

Which of the following numbers is irrational?

Accepted Answer

$$\sqrt{5}$$

Question 17

What is the area of a circle with a radius of $$7\ 	ext{cm}$$? (Use $$\pi \approx 3.14)$$

Accepted Answer

$$153.86\ 	ext{cm}^2$$

Question 18

Which of the following expressions is equivalent to $$2(x + 4) + 3(x - 2)$$?

Accepted Answer

$$5x + 2$$

Question 19

A student scored 80, 85, 90, and 95 on four tests. What is the mean score?

Accepted Answer

$$87.5$$

Question 20

If $$y$$ varies directly with $$x$$ and $$y = 12$$ when $$x = 4$$, what is the value of $$y$$ when $$x = 10$$?

Accepted Answer

$$30$$

Comprehensive Study Guide: Prealgebra and Early Algebra Concepts (WCPSS Compacted Math 6 PLUS / Math 7 PLUS Syllabus)

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