Algebra Test 15 Review

Mad Skills

100

What is the LCM of 4, 11, and 16?

176

200

√49/144

7/12

300

Solve

5|x|=35

x=7

x=-7

400

Simplify

3b⁵a⁴/a⁴b⁴

3b, a and b cannot equal 0.

500

Daily Double:

What are the next 2 terms in this sequence?

3, -11, -10, -24, -23, -37, ...

-36, -50

Break it Down

100

Factor

x²+5x-24

(x+8)(x-3)

200

Factor

3x²+19x+6

(3x+1)(x+6)

300

There is a rectangular poster in this room somewhere with length (2a+5) in and width (2a-5) in. What is its area?

4x²-25 in²

400

Develop an example of a disjunction, and then graph it on a number line.

See student work.

500

When does one "flip the symbol" while solving an inequality?

When they multiply or divide by a negative number.

Unequal Parts

100

Write a compound inequality that represents all real numbers greater than 4 and less than 9.2. Then graph the solution.

4<x<9.2

200

Solve and graph

x+6>2

x>-4

300

Solve and graph

-5v>-10

v<2

400

Mr. Overman is building a cabin in the woods. He has a budget of $855 for initial materials and labor. He must first pay a $140 fee to buy the small piece of land to build upon. Then, he needs to hire a friend to help for 5 days. How much money can he pay his friend for their troubles?

At most, $143 per day

500

Legos are a hot commodity these days, so the toy store marks up the price of a $22.00 Lego set by 24%. How much is the markup, and what is the new price?

$5.28, $27.28

Principles and Properties

100

Simplify

√25x⁵y³

5x²y√xy

200

Simplify

(4p³q⁵)²

16p⁶q¹⁰

300

At which value is the following rational function undefined?

3x/7x+14

x=-2

400

Determine if the following sequence is an arithmetic sequence. If so, what is the common difference? If not, explain.

-2, 6, 14, 22, ...

Yes, d=8

500

Solve the system by substitution

y=4/3x

8x+8y=280

(15,20)

As the Crow Flies

100

What is the slope of a line that passes through points (5,2) and (3,0)?

m=1

200

What is the slope of a line that passes through points (-5,2) and (-3,4)?

m=1

300

Line A has slope of -1, and Line B has slope of 2. Are these lines perpendicular? Why or why not? If not, are they parallel?

No! These slopes are not negative reciprocals. They are not parallel either, because those slopes are not the same.

400

A line goes through points (1,7) and (6,12). What is the equation of this line?

y=x+6

500

Are these two lines parallel?

y=4x+1

4y=16x+8

Yes. The slopes are the same, and the intercepts are different.