Quiz about M4 Reviewer

Question 1

If x - 7 = 9, then x = 17. Which property justifies this statement?

Accepted Answer

Addition Property of Equality

Answer

Substitution Property of Equality

Answer

Multiplication Property of Equality

Answer

Subtraction Property of Equality

Question 2

Factor out $$a^3+b^3.$$

Accepted Answer

$$\left(a+b\right)\left(a^2-ab+b^2\right)$$

Answer

$$\left(a+b\right)\left(a^2+ab+b^2\right)$$

Answer

$$\left(a-b\right)\left(a^2+ab-b^2\right)$$

Answer

$$\left(a-b\right)\left(a^2-ab-b^2\right)$$

Question 3

What are the possible solution of the absolute value equation $$\left|x-5\right|=3.$$

Accepted Answer

x = 8 and x = 2

Answer

x = -2 and x = 8

Answer

x = -2 and x = -8

Answer

x = 2 and x = -8

Question 4

On the number line what is the distance between two points in the given absolute value equation $$\left|x+8\right|=13$$

Accepted Answer

26

Answer

21

Answer

-5

Answer

-21

Question 5

Factor out $$a^3-b^3.$$

Accepted Answer

$$\left(a-b\right)\left(a^2+ab+b^2\right)$$

Answer

$$\left(a-b\right)\left(a^2-ab+b^2\right)$$

Answer

$$\left(a+b\right)\left(a^2-ab+b^2\right)$$

Answer

$$\left(a+b\right)\left(a^2-ab-b^2\right)$$

Question 6

Evaluate $$\frac{4x}{3}\ \ge-4.$$

Accepted Answer

$$x\ge-3$$

Answer

$$x\ \le-3$$

Answer

$$x\le4$$

Answer

$$x\ge-4$$

Question 7

Simplify 4 + 3x < 2(3x + 4).

Accepted Answer

$$x<-\frac{4}{3}$$

Answer

$$x\ >\ -\frac{3}{4}$$

Answer

$$x\ >\ \frac{3}{4}$$

Answer

$$x\ <\ \frac{4}{3}$$

Question 8

Which of the following inequalities would result in NO SOLUTION?

Accepted Answer

x < 5 and x > 9

Answer

x > 5 and x < 7

Answer

x < 3 or x > 7

Answer

x < 5 and x > 3

Question 9

Evaluate the expression $$\frac{5}{x-7}+\frac{5}{x+7}.$$

Accepted Answer

$$\frac{10x}{x^2-49}$$

Answer

$$\frac{25}{x^2-49}$$

Answer

$$\frac{10x+25}{x^2-49}$$

Answer

$$\frac{25}{x^2+14x+49}$$

Question 10

Find the excluded value of $$\frac{4x\ +\ 1}{x^2+2x\ +1}.$$

Accepted Answer

$$x\ =\ -1$$

Answer

$$x=1$$

Answer

$$x=0$$

Answer

no solution.

Question 11

What is the coefficient of the 4th term in an expression $$x^2+2x^3-4x+5x^5+3?$$

Accepted Answer

-4

Answer

1

Answer

2

Answer

3

Question 12

Simplify the complex fraction $$\frac{\frac{x^2-2x}{6x-12}}{\frac{x}{6}+\frac{x}{3}}.$$

Accepted Answer

$$\frac{1}{3}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{1}{4}$$

Answer

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

Question 13

Classify the degree of the given expression $$x^2-3x^4-2x^6-5.$$

Accepted Answer

sixth degree polynomial

Answer

fifth degree polynomial

Answer

quadratic polynomial

Answer

Linear Polynomial

Question 14

Write the inequality in interval notation. $$6

Accepted Answer

(6,27]

Answer

[6,27]

Answer

[6,27)

Answer

(6,27)

Question 15

Classify the number of terms in the expression $$x^2+2x\ -5\ $$

Accepted Answer

trinomial

Answer

monomial

Answer

Binomial

Answer

quadnomial

Question 16

Solve the compound inequality $$3<3+4x<7.$$

Accepted Answer

x > 0 and x < 1

Answer

x > 0 and x > 1

Answer

x < 0 or x < 1

Answer

x < 0 or x > 1

Question 17

Rewrite the compound inequality $$\left|x\right|\ge6$$

Accepted Answer

$$-6\ge x\ or\ x\ge6$$

Answer

$$-6\ge x\ and\ x\ge6$$

Answer

$$-6\le x\ or\ x\le6$$

Answer

$$-6\le x\ or\ x\le6$$

Question 18

Perform the indicated operation and simplify if possible.

$$-\frac{5x+30}{x^2+11x\ +\ 30}+\frac{2}{x+5}.$$

Accepted Answer

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

Answer

$$\frac{3}{x+5}$$

Answer

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

Answer

$$\frac{3x}{x+5}$$

Question 19

The width of a rectangular garden is 4.5m. If the perimeter is 16 meters, what must be the length?

Accepted Answer

$$l\le4$$

Answer

$$l\ge5$$

Answer

$$l=3$$

Answer

$$l<4$$

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