Expressions & Equations Unit Review

Expressions & Equations Unit Review

Warm UpYou want to have your birthday party at the local

Sports Museum. Below is a cost grid:Time (hours) Cost (dollars)

2 35

4 70

5 87.50

7 122.50

8 140

Write an equation for the cost, c, related to the given time, t.

Warm Up

Simplify: 1. y+y+y+y2. 2x(2x + x)3. 3x2 + 5x + 6x2 – 2x – x

Question #1

€

62 −23Simplify

Answer #1

28

Question #2

Simplify

€

4 + 3• 2 + 42

Answer #2

26

Question #3

Translate the following sentence into an algebraic expression.

Five less than the product of 2 and a number

Answer #3

€

2n −5

Question #4

Simplify

€

4m + 3c −2m +5c

Answer #4

€

8c +2m

Question #5

Which expression below has 3 terms, a coefficient of 5, and a constant of 2 ?

A:

B:

C: €

5c +2

€

2c + 4m +5€

5c + 4m +2

Answer #5

B

Question #6

Simplify

€

4x(x + 3)

Answer #6

€

4x 2 +12x

Question #7

What is the relationship between x and y in the chart below?

x y2 43 65 107 14

Answer #7

As x increases, y increases or y=2x

Question #8

Rachael has $120 in her checking account and some amount of money in her savings account. She has more than $328 in both accounts. Write an inequality to model this scenario.

Answer #8

€

120 + x > 328

Question #9

Paula ordered some new ink cartridges for her printer online. Each ink cartridge cost $22. The website charged her $5 shipping.

• If Paula spent $71, how many ink cartridges did she buy?

Answer #9

3 Ink Cartridges

Question #10

Solve the following for x.

€

3(x +5) = 27

Answer #10

€

x = 4

Question #11

Simplify

€

3(x +2) +12x +15

Answer #11

€

15x +21

Question #12

Simplify

x = 3 and y = 4

€

5x +2x − 3x + 4y +5y −2y

Answer #12

40

Question #13

Translate the sentence into an algebraic expression:

Five times the quantity x plus 14

Answer 13

€

5(x +14)

Question #14

Factor using greatest common factor

€

6x 2 +2x

Answer #14

€

2x(3x +1)

Question #15

Graph the inequality on a number line

x < 8

Answer #15

The graph should have a closed circle at 8 and be

pointing to the left€

x ≤ 8

Question #16

Translate the sentence.

Three less than the quotient of x and 5 is equal to 9.

Answer #16

€

x5− 3 = 9

Question #17

Ms. Willging teaches some number of students. Ms. Capurso teaches 12 less students than Ms. Willging. If there are 252 students in the sixth

grade, determine how many students each teacher has.

Answer #17

Willging: 132 students

Capurso: 120 students

Question #18

Write the inequality that matches this graph:

Answer #18

€

x ≥ 3

Question #19

List all of the values that make this inequality true:

a.) 3 c.) 4

b.) 2d.) 0€

5x −2 <13

Answer #19

B and D

Question #20

Determine the value of y:

€

y3−2 =10

Answer #20

y = 36