Question 1

Solve the absolute value inequality: $$|7x - 7| \u003c 28. $$What is the solution set in interval notation?

Accepted Answer

$$( -3, 5 )$$

Question 2

Solve for $$x in $$the equation: $$-x = -\frac{3x}{2}. $$What is the solution?

Accepted Answer

$$-5$$

Question 3

Solve the linear equation: $$9x - (7x - 4) = 12. $$What is the value of $$x$$?

Accepted Answer

$$4$$

Question 4

Solve the radical equation: $$\sqrt{3 - 2x} = x. $$What is the solution set?

Accepted Answer

$$1$$

Question 5

Solve the formula $$B = W + qf$$ for $$q.$$

Accepted Answer

$$q = \frac{B - W}{f}$$

Question 6

Divide and express the result in standard form: $$\frac{4i}{3 - 9i}.$$

Accepted Answer

$$\frac{6}{15} + \frac{2}{15}i$$

Question 7

After a $$90\%$$ reduction, you purchase a new washing machine on sale for $$\76$. What was the original price?

Accepted Answer

$$\760$

Question 8

Solve the equation by the square root property: $$(x - 8)^2$ = 49. $$What is the solution set?

Accepted Answer

$$1, 15$$

Question 9

Solve the inequality: $$3(7 - 2x) \geq 19 - 4x. $$Express the solution in interval notation.

Accepted Answer

$$( -\infty, 1 ]$$

Question 10

Solve the absolute value equation: $$|2x - 1| = 3. $$What is the solution set?

Accepted Answer

$$-1, 2$$

Question 11

Solve the quadratic equation by factoring: $$x^2 = 3x + 10$. What are the solutions?

Accepted Answer

$$5, -2$$

Question 12

According to statistics, a person will devote $$34$$ years to sleeping and watching TV. The number of years sleeping will exceed the number of years watching TV by $$18. $$How many years will the person spend on each activity?

Accepted Answer

$$8$$ years watching TV, $$26$$ years sleeping

Question 13

Solve the compound inequality: $$-7 \u003c 2x + 1 \leq -1. $$Express the solution in interval notation.

Accepted Answer

$$( -4, -1 ]$$

Question 14

Solve the quadratic equation using the quadratic formula: $$5x^2 = 4x + 2$. What are the solutions?

Accepted Answer

$$\frac{2 + \sqrt{14}}{5}, \frac{2 - \sqrt{14}}{5}$$

Question 15

A company’s profit $$P is $$given by $$P = R - C$$, where $$R is $$revenue and $$C is $$cost. If the revenue is $$\5000$ and the cost is $$\$$3200$$, what is the profit?

Accepted Answer

$$\1800$

Question 16

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

Accepted Answer

$$15$$

Question 17

A ball is thrown upward with an initial velocity of $$32 ft/s $$from a height of $$48 ft. $$The height $$h$$ after $$t$$ seconds is given by $$h = -16t^2$ + 32t + 48. $$After how many seconds does the ball hit the ground?

Accepted Answer

$$3$$

Question 18

Solve for $$x$$: $$\frac{2x - 5}{3} = x + 1$$

Accepted Answer

$$8$$

Question 19

Which of the following is the solution set for $$|x + 2| \geq 5$$?

Accepted Answer

$$( -\infty, -7 ] \cup [ 3, \infty )$$

Step-by-Step Guidance for College Algebra and Trigonometry I (Precalculus) - Chapter 1 Test

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