8th Math review

8th Math review

The Number System

SUMMARY

• Fraction, Decimal, Percent Conversions

• Square and Cube Roots

• Classifying Numbers

Multiple Choice

What is $1\ \frac{3}{8}$  written as a decimal.

• 1.38

• 1.275

• 1.375

• 1.265

Open Ended

Give an example of an irrational number that is NOT pi.

Multiple Select

Which of the number sets does the number -8 belong?

• Natural Number

• Rational

• Irrational

• Integer

• Whole Number

Multiple Choice

Write 0.4444... as a fraction in simplest form.

• $\frac{4}{9}$

• $\frac{2}{5}$

• $\frac{11}{50}$

• you can't!

Solving Equations

SUMMARY

• Distributive Property

• Variables on Both Sides

• Special Solutions

Multiple Choice

Apply the distributive property. $\frac{1}{2}\left(-10x+16\right)$  

•  $5x-8$  

•  $-20x+32$  

•  $-5x+16$  

•  $-5x+8$  

Multiple Choice

Will the equation have one solution, no solution, or infinitely many solutions? $-2\left(x+6\right)=-2x+12$  

 

• one solution

• no solution

• infinitely many solutions AKA all real numbers

Multiple Choice

The area of the rectangle below is 36 square units. Write and solve an equation to find the value of x.

• 4.4

• 3.45

• 3

• 5

Solving Inequalities

SUMMARY

• The only rule to remember: FLIP the inequality symbol when x or / by a negative number

• < and > open circle

•  $\le\ and\ \ge$  filled in circle

Multiple Choice

Write an inequality based on the graph.

• x $<$ 3

• x $>$ 3

• x $\le$ 3

• x $\ge$ 3

Multiple Choice

Solve the inequality. $1\ge-\frac{1}{2}x+5$  

•  $x\ge8$ 

•  $x\le-8$  

•  $x\le-12$  

•  $x\ge-12$  

Multiple Choice

Write an inequality for the situation: Miss Cape has at least $3.20 in her pocket.

• x $<$ 3.20

• x $>$ 3.20

• x $\le$ 3.20

• x $\ge$ 320

Slope and Rate of Change

SUMMARY

• Graph:  $\frac{rise}{run}$  

• Table:  $\frac{\Delta y}{\Delta x}$ 

• Two Points: $\frac{y_2-y_1}{x_2-x_1}$   

Multiple Choice

Find the rate of change of the graph.

• $\frac{1\ inch}{2\ years}$

• $\frac{2\ years}{1\ inch}$

• $\frac{2\ inches}{1\ year}$

• $\frac{3\ inches}{2\ years}$

Multiple Choice

Find the slope of the line that runs through the two points (-4, 6) and (2, -3).

• $-\frac{3}{2}$

• $\frac{1}{2}$

• $-\frac{1}{2}$

• $-\frac{4}{7}$

Multiple Choice

Find the rate of change of the table.

• $1 for 3 miles

• $2.50 per mile

• $3 per mile

• $5 per mile

Scatter Plots

SUMMARY

• Association or Correlation

• Linear or Non-linear

• Strong or Weak

• Making Predictions

Multiple Choice

What type of association would you expect between the the older a child is and the length of their naps?

• positive association

• negative association

• no association

Multiple Choice

Use the trend line to predict what the value of y when x is 9.

• 50

• 55

• 58

• 60

Multiple Choice

Use the trend line to predict the value of x when y=80.

• 3

• 3.5

• 4

• 4.5

Angles, Triangles, and Lines

SUMMARY

• Angles inside triangles

• Angles outside triangles

• Angle relationships made by parallel lines and a transversal

Multiple Choice

Identify the relationship between the two angles in the diagram.

• Alternate Exterior

• Alternate Interior

• Vertical

• Corresponding

Multiple Choice

Which equation could be used to find the value of x.

• $35x-6=180$

• $13x-15=22x+9$

• $9x-6=180$

• $13x-15=90$

Multiple Choice

Which of the following is NOT true about the triangle?

• $\angle J+\angle K+\angle L=180$

• $m\angle J=65\degree$

• $m\angle K=89\degree$

• $m\angle L=43\degree$

Multiple Choice

Find the measure of angle A.

• $92\degree$

• $88\degree$

• $82\degree$

• $90\degree$