Quiz about College Prep Math Quiz 6-4 (Final Exam Review)

Question 1

Solve $$-4\left(2t\ -\ 1\right)\ +\ 5\ =\ 33$$

Accepted Answer

t = -3

Answer

t = 3

Answer

t = -1

Answer

t = 5

Question 2

What is the best definition of a conditional equation?

Accepted Answer

An equation that has a finite number of solutions.

Answer

An equation that has no solution.

Answer

An equation that is always true regardless of what value the variable has.

Answer

An equation that contains restrictions on the domain.

Question 3

Find the equation of the line passing through the points (1, 3) and (4, -6).

Accepted Answer

$$y\ =\ -3x\ +\ 6$$

Answer

$$y\ =\ 3x\ -\ 6$$

Answer

$$y\ =\ -3x\ $$

Answer

$$y\ =\ 3x\ +\ 6$$

Question 4

What the the x and y intercepts of the equation $$3x\ +\ 2y\ =\ 12$$ ?

Accepted Answer

(4, 0) and (0, 6)

Answer

(-4, 0) and (0, -6)

Answer

(6, 0) and (0, 4)

Answer

(-6, 0) and (0, -4)

Question 5

What is the first step in solving the equation $$\left|12z\ -\ 6\right|\ =\ 18$$ ?

Accepted Answer

Break it into two equations:

$$12z\ -\ 6\ =\ 18$$ &

$$12z\ -\ 6\ =\ -18$$

Answer

Add 6 to both sides.

Answer

Divide both sides by 12.

Answer

Subtract 18 from both sides.

Question 6

The sum of two numbers is 64. The larger number is 6 more than the smaller number. What is the smaller number?

Accepted Answer

29

Answer

28

Answer

30

Answer

31

Question 7

Solve using long division $$\left(2x^2+6x-20\right)\div\left(2x-4\right)$$

Accepted Answer

$$x+5$$

Answer

$$x+5+\frac{2}{2x-4}$$

Answer

$$x-8$$

Answer

$$x-5+\frac{3}{2x-4}$$

Question 8

If 4 is added to the reciprocal of a number, the result is $$\frac{22}{5}$$ . Find the number.

[Hint: The reciprocal of a number is the fraction form of the number flipped. For instance, the reciprocal of 3 is $$\frac{1}{3}$$ .]

Accepted Answer

$$\frac{5}{2}$$

Answer

$$\frac{2}{5}$$

Answer

$$5$$

Answer

$$\frac{1}{5}$$

Question 9

Melissa shot a 33 on 6 holes of golf. At this rate, what can she expect her score to be if she plays all 18 holes?

Accepted Answer

99

Answer

66

Answer

132

Answer

77

Question 10

$$2m^2=-2m+12$$
Solve using the quadratic formula.

Accepted Answer

$$x=2,-3$$

Answer

$$x=3,-2$$

Answer

$$x=1\pm\sqrt{13}$$

Answer

No Solution

Question 11

Expand and simplify $$\left(2\ -\ 3i\right)\left(4\ +\ 2i\right)$$ .

Accepted Answer

$$14\ -\ 8i$$

Answer

$$2\ -\ 8i$$

Answer

6

Answer

-6

Question 12

Simplify this expression:

$$\frac{5n^3c^5}{4nc^6}$$

Accepted Answer

$$\frac{5n^2}{4c}$$

Answer

$$\frac{5n}{4c}$$

Answer

$$\frac{5n^{15}}{4c^{30}}$$

Answer

$$\frac{5n^4}{4c^{11}}$$

Question 13

Find the product:
(3x + 2)(2x + 4)

Accepted Answer

6x² + 16x + 8

Answer

5x² +11x + 6

Answer

5x² + 16x + 6

Answer

6x² + 11x + 8

Question 14

Solve the system of equations.
x + 5y = -27
-2x - 5y = 24

Accepted Answer

(3, -6)

Answer

(3, 6)

Answer

(-3, -6)

Answer

(-3, -4)

Question 15

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

Accepted Answer

4m - 8

Answer

4m + 8

Answer

8m - 4

Answer

8m + 4

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