8th Grade Review

Mathematical Expressions

100

Write the following as an Algebraic Expression: 

Three times the sum of p and q

3(p + q)

200

4a²b² + 3ab² + 6a²b² + 7ab²

10a²b² + 10ab²

300

Identify the number of terms in the expression. Then name the coefficients of each term, and the constant of the expression.

6a^{3 _} 3b + 5c + 2

4 terms;

Coefficients; 6, 3, 5

Constant; 2

400

Simplify:

7x² + 3y² + 4x(2x-9y)

15x² + 3y^2 _ 36xy

500

Assign a variable, write an equation, and solve:

A piece of wood is cut into 12 pieces of equal length. Each piece is 35 cm long. How long was the piece of wood before it was cut?

let x= how long the piece of wood originally was 

x÷12=35

x= 420

Equations

100

14h-42=56

h=7

200

To be written on the board:

-(n÷5) - 5 = 16 - 7

n=-70

300

0.6(r-2)= 7.2

r=14

400

(-25)(c+5)=600

c=-29

500

Jorge bought 3 DVDs, each for the same price, and a set of earphones for a price of $10. The total cost before tax was $49. What was the cost of one DVD?

Let x= the price of one DVD

3x + 10= 49

x=13

Inequalities

100

What is the golden rule of solving inequalities?

When you divide or multiply both sides by a negative number, the sign gets flipped.

200

Tell whether the following statement is true or false.

(To be written on the board)

(-m÷2) > 6 when m= -6.4

False

300

X>7 or X<5

400

Simplify and Graph 

-255<-17x<102

15>x>-6

500

Write and graph a compound inequality:

A community center offers career counseling for young people between the ages of 16 and 25. What is the age range for which the center does NOT offer career counseling?

x > 25 or x < 16

Polynomials

100

Which of the following is not a monomial and why?

A. 3x²y²

B. 16

C. x^-2

D. 4xyzeryt¹⁵

C.  A monomial cannot have a negative exponent

200

What is the degree of the polynomial:

a²x^3 _ 5 + a³x⁶

9

300

Simplify:

(x² +19x ^_ 4) ^_ (6x^{2 _} 8x+ 13) + 14x² + 6y

9x²+27x+6y-17

400

(2x-3y)(3xy + 2y)

6x²y + 4xy - 9xy^{2 _} 6y²

500

Factor using GCF

^_10f⁵g + 75f⁴g^2 _ 45f³g³

5f³g(-2f² + 15fg ^_ 9g²)

Functions

100

Positive Correlation

200

Which is not a function?

The last one.

300

Is the relation a function? Why or why not?

No, a function cannot have an input with more than one output.

400

What is the function rule?

F(x)= 2x

500

Input (x)  |    -2    |   0 |  2  |

_______________________________

Output (y)|    -7   |  -1 |   5  |

f(x)= 3x-1