Question 1

Which of the following is the correct solution to the equation $$2x - 5 = 9$$?

Accepted Answer

$$x = 7$$

Question 2

What is the solution set in interval notation for the inequality $$3x + 4 \u003c 10$$?

Accepted Answer

$$(-\infty, 2)$$

Question 3

Which of the following is the correct graph for the equation $$y = -2x + 3$$?

Accepted Answer

A line with slope $$-2$$ and $$y-$$intercept $$3$$

Question 4

Solve the system of equations: $$\begin{cases} x + y = 5 \ x - y = 1 \end{cases}$$

Accepted Answer

$$x = 3, y = 2$$

Question 5

Which of the following is the factored form of $$x^2 - 9$?

Accepted Answer

$$(x + 3)(x - 3)$$

Question 6

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

Accepted Answer

$$6$$

Question 7

Which of the following is the correct solution to $$|2x - 1| = 5$$?

Accepted Answer

$$x = 3, x = -2$$

Question 8

A chemist mixes two solutions, one with $$30\%$$ salt and one with $$10\%$$ salt, to make $$20$$ liters of a $$20\%$$ salt solution. How many liters of the $$30\%$$ solution should be used?

Accepted Answer

$$10$$

Question 9

Which of the following is the correct simplification of $$\frac{2x^3$y^2$$}{$$4x^2y$$}$?

Accepted Answer

$$\frac{x y}{2}$$

Question 10

Solve for $$x$$: $$x^2 + 5x + 6 = 0$

Accepted Answer

$$x = -2, x = -3$$

Question 11

Which of the following is the correct interval notation for the solution to $$|x - 4| \leq 3$$?

Accepted Answer

$$[1, 7]$$

Question 12

A company’s profit $$P (in $$dollars) is given by $$P = 50x - 200$$, where $$x is $$the number of units sold. What is the minimum number of units that must be sold for the company to make a profit?

Accepted Answer

$$x = 5$$

Question 13

Which of the following is the correct result of multiplying $$(x + 2)(x - 5)$$?

Accepted Answer

$$x^2 - 3x - 10$

Question 14

If $$g(x) = 3x - 4$$, what is $$g^{-1}(x$$)$$, the inverse function?

Accepted Answer

$$g^{-1}(x$$) = \frac{x + 4}{3}$$

Question 15

Which of the following is the correct solution to the inequality $$2x - 7 \u003e 1$$?

Accepted Answer

$$x \u003e 4$$

Question 16

A ball is thrown upward with an initial velocity of $$20 m/s $$from a height of $$2 m. $$Its height after $$t$$ seconds is given by $$h(t) = -5t^2$ + 20t + 2. $$After how many seconds does the ball reach its maximum height?

Accepted Answer

$$t = 2$$

Question 17

Which of the following is the correct simplification of $$(3x^2y)(2xy^3$)$?

Accepted Answer

$$6x^3y^4$

Question 18

If $$h(x) = x^2$ - 4x + 3$$, for which value of $$x$$ does $$h(x) = 0$$?

Accepted Answer

$$x = 1, x = 3$$

Question 19

Which of the following is the correct solution to $$\frac{3x}{2} = 9$$?

Accepted Answer

$$x = 6$$

Elementary Algebra for STEM: Course Overview and Study Guide

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