Final Review

Operations

100

Find 8(3)-(8-5)²

15

200

Evaluate:

4x + (y - 4t) if x=12, y=2, and t=-3

62

300

Subtract:

(8y²+5y+3) - (3y²+2y+4)

5y²+3y-1

400

Add:

(9y² - 4y) + (10y² - 7y)

19y²-11y

500

Simplify the product:

 -8x(7x² - 4x +8)

-56x³+32x²-64x

Equations, Expressions

100

Given the equation y=48 - 2x has domain {4,5,7,8} what is the range of the relation?

{40,38,34,32}

200

Simplify:

12a⁴/64ab

3a³/16b

300

Translate the verbal sentence into an equation and solve:

The difference of a number and 12 is negative 4. 

x -12=-4

x=8

400

Evaluate:

The absolute value of x minus the absolute value of y if x=-3 and y=12.

-9

500

Factor:

12 - 15t

3(4-5t)

Classification

100

Classify the triangle with sides length 8in, 10in, and 5in.

Scalene Triangle

200

What type of triangle has all sides being 15in? Be specific and identify the angles.

Acute, Equilateral,60 degrees

300

Classify the given expression:

9x² -3x +7

Trinomial 

400

Classify 3x minus the square root of x.

Not a polynomial

500

Classify the numbers and put them in order from greatest to least.

{-4, 5, 1/2, 18/2, pi}

Integers, Rational, irrational

{18/2, 5, pi, 1/2, -4}

Mix

100

Is this relation a function? Explain

{(4,7), (5,6), (3,4), 9,7)}

No, because there is a repeat of 7 in the y values.

200

If m<8= 32 degrees what is m<3?

m<3=148 degrees

300

What is the alternate interior angle to <7?

<4

400

What is the corresponding angle to <5

<1

500

Solve and graph the given inequality:

negative m plus 2 is less than or equal to 6

m is greater than or equal to -4

Random

100

simplify:  the square root of 81

9

200

What is the probability of tossing a quarter and landing on heads four times in a row?

1/16

300

Estimate:

The square root of 51

7

400

Simplify:

8a - 3(3+4a)

-4a-9

500

Find the product: Express using exponents

10⁹ times 10⁷

10¹⁶