Algebraic Manipulation and Absolute Value Equations

Algebraic Manipulation and Absolute Value Equations

Intro Questions:
Solving Equations

Multiple Choice

If $$2x+3=8x-5$$ , then $$x=$$ ?

• -2

• $$-\frac{1}{4}$$

• $$\frac{1}{4}$$

• $$\frac{3}{4}$$

• $$\frac{4}{3}$$

Answer explanation:

Multiple Choice

If $$6x+6=36+3x$$ , then $$x=$$ ?

• $$\frac{9}{5}$$

• 3

• 9

• 10

• 33

Answer explanation:

Multiple Choice

If $$3\left(x+4\right)+2x=2\left(x-2\right)-4$$ , then $$x=$$ ?

• $$-\frac{20}{3}$$

• -5

• $$-\frac{10}{3}$$

• 2

• $$\frac{11}{5}$$

Answer explanation:

Multiple Choice

In a certain situation, the maximum height $$H$$ , in meters, that a ball bounces is given by the equation $$H=\frac{3}{5}F-0.02$$ , where $$F$$ is the force, in newtons, with which the ball is bounced. What force, in newtons, must be applied for the height to be 0.16 meters?

• 0.1

• 0.2

• 0.3

• 0.4

• 0.5

Answer explanation:

Algebraic Manipulation

Multiple Choice

If $$I=PRT$$ , then which of the following is an expression for $$R$$ in terms of $$I$$ , $$P$$ , and  $$T$$ ?

• $$IPT$$

• $$I-PT$$

• $$\frac{I}{PT}$$

• $$\frac{PT}{I}$$

• $$\frac{2}{IPT}$$

Answer explanation:

Multiple Choice

For all pairs of real numbers $$N$$ and $$P$$ where $$N=5P+4$$ , $$P=$$  ?

• $$\frac{N}{5}-4$$

• $$\frac{N}{5}+4$$

• $$\frac{5N}{4}$$

• $$\frac{N-4}{5}$$

• $$\frac{N+4}{5}$$

Answer explanation:

Multiple Choice

If $$x=3m-4$$ and $$y=6-m$$ , which of the following expresses $$y$$ in terms of $$x$$ ?

• $$y=2x-4$$

• $$y=\frac{x+10}{3}$$

• $$y=\frac{2+x}{3}$$

• $$y=x-\frac{4}{3}$$

• $$y=\frac{14-x}{3}$$

Answer explanation:

Absolute Value Equations

Multiple Choice

Which of the following are solutions to $$\left|n+3\right|=5$$  ?

I. 2

II. -2

III. -8

• I only

• III only

• II and III

• I and III

• I, II, and III

Answer explanation:

Multiple Choice

If $$\left|4-m\right|=12$$ , then m = ?

• 16 or 8

• 8 or 0

• 16 or -8

• 0 or -8

• -16 or -8

Answer explanation: