Free Printable CLASSWORK LESSON 7.5, 8.1 AND 8.2

Worksheets

CLASSWORK LESSON 7.5, 8.1 AND 8.2

Total questions: 20

Worksheet time: 1hrs 3mins

Name

Class

Date

Select the correct graph.

Which system of inequalities matches the graph?

x> -2 and y < -4

x< 2 and y> 4

x > 2 and y < 4

x > 2 and y <- 4

Which point is a solution?

(0, 6)

(-3, 4)

(1, 0)

(-4, 3)

Match the system to the graph (solution set is on the left)

y ≤ 3x and y ≤ -2x + 4

y > 3x and y > -2x + 4

y < 3x and y > -2x + 3

y > 3x and y < -2x + 4

Which of the following is not a solution to this system of inequalities?

(0,-1)

(0,3)

(4,0)

(6,-2)

Is (0,0) a solution to the system?

Solution

Not a solution

Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?

x + y ≥ 6
32x + 20y ≤ 150

x + y ≥ 632
x + 20y ≥ 150

x + y ≤ 6
32x + 20y ≤ 150

x + y ≤ 6
32x + 20y ≥ 150

Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can only make up to 40 pieces of jewelry. Which inequalities represent this situation?

2x + 3y > 100

x + y ≤ 40

100x + 2y > 3

x + y ≤ 40

100x + 40y > 100

3x + 2y ≤ 40

3x + 2y > 100

x + y ≤ 40

JoAnn likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. How many hours can JoAnn tutor and baby-sit and still make at least $66 per week? How much does she make?

b + t < 15
3b + 6t > 66

b + t > 15
3b + 6t < 66

3b + 6t > 15
b + t < 66

3b + 6t < 15
b + t < 66

10.

(3c²)(10c⁷)

13c⁹

30c⁵

30c⁹

-30c⁹

11.

Multiply (7v³)(10u³v⁵)

70u³v⁶

17u³v⁸

70u³v⁸

none of the above

12.

Simplify (-5a^-3)(3a⁶b)

-15a³b

-15a⁹b

45ab²

-45a⁹b²

13.

Simplify the following expression:

(2b³)⁴

8b⁷

16b⁷

16b¹²

8b¹²

14.

Simplify the following expression:

(3x³y⁵)⁴

3x¹²y²⁰

81x¹²y²⁰

12x¹²y²⁰

81x⁷y⁹

15.

3.) Simplify
(45x⁶y⁹) / (5x⁴y²)

(9x²)/y⁷

40x²y⁷

9x²y⁷

9x¹⁰y¹¹

16.

Evaluate the expression using the quotient rule.

g¹⁰

g²⁵

17.

2a²b⁶

1/2a²b⁶

b⁶/2a²

2b⁶/a²

18.

Simplify. Express using exponents.

16y⁶

9y⁵

16y⁵

9y⁶

19.

Simplify
$\frac{10x^8y^5}{4x^2y^5}$

$6x^6y$

$\frac{5x^6}{2}$

$\frac{5x^6y}{2}$

$6x^6$

20.

Write 2.08 x 10²in standard form.

208

0.0208

20,800

0.208

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CLASSWORK LESSON 7.5, 8.1 AND 8.2

Total questions: 20

Worksheet time: 1hrs 3mins

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