Question 1

Which of the following numbers is an irrational number from the set $$\{ -13.3, -7, -2, -\frac{8}{5}, 0, 3, \frac{7}{22}, \pi, \frac{5}{4} \}$$?

Accepted Answer

$$\pi$$

Question 2

Simplify the expression $$8 \div 2 \cdot 4 - 7 + 3.$$

Accepted Answer

$$4$$

Question 3

Which of the following is the correct solution for $$3a + 5 = 5a + 7$$?

Accepted Answer

$$a = -1$$

Question 4

A rectangular building has a perimeter of $$104$$ feet and a width of $$17$$ feet. What is the length of the building?

Accepted Answer

$$35$$ feet

Question 5

Which of the following is the correct factorization of $$x^2 - 25$?

Accepted Answer

$$(x - 5)(x + 5)$$

Question 6

A cell phone plan allows you to talk for $$20$$ minutes for a flat fee of $$\0.99$, but each additional minute costs $$\$$0.15. $$How many total minutes can you talk for $$\5.00$?

Accepted Answer

$$33$$ minutes

Question 7

Solve for $$x$$: $$4x + 19 \u003c 11$$

Accepted Answer

$$x \u003c -2$$

Question 8

Which of the following is the equation of the line passing through $$(4, -1)$$ with slope $$\frac{3}{4} in $$slope-intercept form?

Accepted Answer

$$y = \frac{3}{4}x - 4$$

Question 9

A man $$6$$ feet tall casts a shadow $$2$$ feet long at the same time a nearby building casts a shadow $$38$$ feet long. What is the height of the building?

Accepted Answer

$$114$$ feet

Question 10

Simplify the expression $$\$$left(3a^2$$ - 2a\right) - \left(-2a + 5\right).$$

Accepted Answer

$$3a^2 + 0a + 7$

Question 11

Which of the following is the solution to $$4x^2 = 25$?

Accepted Answer

$$x = \pm \frac{5}{2}$$

Question 12

A company invested $$\10$$,000$$ in two money market accounts for one year, one earning 5$$\%$$ simple interest, the other 3.5$$\%$$ simple interest. If the total interest earned was $$\$$410$$, how much was invested at $$5\%$$?

Accepted Answer

$$\6$$,000$

Question 13

Which of the following is the correct solution for $$| -7 |$$ compared to $$| 5 |$$?

Accepted Answer

$$| -7 | \u003e | 5 |$$

Question 14

Which of the following is the correct simplification of $$(x + 7)(x - 7)$$?

Accepted Answer

$$x^2 - 49$

Question 15

A plane is flying in a circular holding pattern above Rochester with a radius of $$1.5$$ miles. To the nearest tenth of a mile, what distance does the plane fly each time around the circle?

Accepted Answer

$$7.1$$ miles

Question 16

Which of the following is the correct solution for $$2(3 - 4x) + 4 = 2 - 3(4 - 4x)$$?

Accepted Answer

$$x = -1$$

Question 17

Which of the following is the correct solution for the system: $$\begin{cases} 5x + 5y = 5 \ y = 3x - 4 \end{cases}$$?

Accepted Answer

$$x = 1, y = -1$$

Question 18

Which of the following is the correct solution for $$3x^2 + 5x = 0$?

Accepted Answer

$$x = 0 or$$ $$x = -\frac{5}{3}$$

Question 19

Which of the following is the correct solution for $$x^2 + 10x + 24 = 0$?

Accepted Answer

$$x = -6 or$$ $$x = -4$$

Comprehensive Guidance for Elementary Algebra Review Questions

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