Free Printable Quantities and Modeling, Radicals and exponents, & Linear inequa

Worksheets

Quantities and Modeling, Radicals and exponents, & Linear inequa

Total questions: 28

Worksheet time: 50mins

Name

Class

Date

Which is the better buy? a 12 pack of Coke for $3.50 or a six pack of Coke for $1.80?

The 12 pack of Coke

The 6 pack of Coke

Neither

They are the same

Elijah earn $200 for 8 hours of work. What is the unit rate (in dollars per hour)?

$50 per hour

$12 per hour

$192 per hour

$25 per hour

8v - 4(v + 8) = 8

-4

Tell whether the equation has one, no, or infinite solutions.
5x + 6 = 2 + 3x

one

no solutions

infinite solutions

2x + 1 = 2x - 1

No Solution

x = 0

Infinitely Many Solutions

Select the correct graph for each inequality.

Consider the function y<2x+3. Which is true?

The line would be solid with shading above.

The line would be dashed with shading above.

The line would be solid with shading below.

None of these.

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage. If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

C = 0.20x + 15

C =15 (0.20x)

C = 15 + x + 0.20

C = 0.20 + 15x

Match the inequality to the word problem.

Katie wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Katie makes $12 for each dog that she walks. How many dogs would Katie have to walk to reach her goal of $200?

25 - 12x ≥ 200

25 + 12x ≥ 200

13x ≥ 200

25 + 12x > 200

10.

Solve for y:
8x + 4y= 16

y = -8x + 16

y = 2x -4

y = -2x + 4

y = -8x + 12

11.

Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular. One night, the theater sells 578 tickets and collects $3365 in total ticket sales.

Which system best represents the situation?

4x + 7y = 578

x + y = 3365

4x + 7y = 3365

x + y = 578

4y + 7x = 578

x + y = 3365

4y + 7x = 3365

x + y = 578

12.

2 + n ≤ 4½

n ≥ 2½

n ≤ 2½

n ≤ 6½

n ≥ 6½

13.

Consider the equation:
y=-x+4
Identify the slope and y-intercept.

m=4, b=-x

m=-x, b=4

m=1, b=4

m=-1, b=4

14.

How can I tell if an inequality will have a solid line?

It has an equal sign.

The symbol is greater than.

The symbol has "or equal to."

You just guess.

15.

Which point below is NOT part of the solution set?

(0, 0)

(-10, 20)

(3, 5)

(0, -2)

16.

v>5 or v<-5

v≥5 or v≤-5

v>-5 or v<5

all real numbers

17.

An absolute value can NOT equal...

a positive number

a negative number

18.

An essay contest requires that essay entries consist of 500 words with an absolute deviation of at most 30 words. Write an absolute value inequality to represent this.

|w + 500| > 30

|w - 500| ≤ 30

|w - 30| ≥ 500

w - 30 < 500

19.

For the last 20 years, Coach Adams has weighed 190 pounds give or take 7 pounds. Which absolute value inequality correctly represents all possible weights for Coach Adams

|𝑥 − 7| ≥ 190

|𝑥 − 190| ≥ 7

|𝑥 − 7| ≤ 190

|𝑥 − 190| ≤ 7

20.

Write in exponential form
∛x⁷

x⁷∕ ³

x3⁄7

3x⁷

7x³

21.

Write as a radical expression
y²⁄ ³

2y³

√y³

∛y²

3y²

22.

√24

4√6

2√6

6√2

2√12

23.

Simplify

24.

Write 7.113 x 10⁷ in standard form.

71,130,00

7,113,000

0.0000007113

7,113

25.

Multiply:
(3.4 x 10⁵)(1.2 x 10^-3)

4.08 x 10^-8

4.8 x 10²

4.08 x 10²

4.08 x 10^-15

26.

Write 0.00000707 in scientific notation.

7.07 x 10^-6

7.07 x 10⁶

707 x 10⁸

707 x 10^-8

27.

The table shows the mass in grams of one atom of each of several elements. List the elements in order from the least mass to greatest mass per atom.

hydrogen, carbon, oxygen, silver, gold

hydrogen, oxygen, gold, siver, carbon

carbon, oxygen, silver, gold, hydrogen

gold, oxygen, carbon, silver, hydrogen

28.

The Diplodocus dinosaur is believed to have become extinct approximately 1.38x10⁸years ago. The Oviraptor is believed to have become extinct approximately 7x10⁷years ago. How many years were there between the extinction of these two dinosaur types?

6.8 x 10⁸

6.8 x 10⁹

68 x 10⁸

6.8 x 10⁷

Reset

Quantities and Modeling, Radicals and exponents, & Linear inequa

Total questions: 28

Worksheet time: 50mins

Similar Resources on Wayground