6.6 Unit Review

Solve It

100

X + 5 = 12

X = 7

200

3x = 21

x = 7

300

Select all where X = 3

A) X - 3 = 0

B) 1 + X = 2

C) 33 = 3x

D) 12 = 4x

A, C, D, E

400

(3/4) + x = 6

x = 5.25 = (21/4)

500

Create an equation where x= 5

examples: 2x = 10, x + 3 = 8, 15 = 3x

Expression Action

100

Simplify the expression: 

3 (4x +2)

12x + 6

200

Simplify the expression: 

4 (2x + 1) + 5

8x + 9

300

Are these equivalent 3 (2x + 1) and 6x + 3 ?

Yes

400

3 expressions that are equivalent to 5x + 10

Examples: 5 (x + 2) 

10 + 5x

2 (2.5x + 5)

500

Solve the following s= 3

4 +s²

4s²

4s

4 +s² =13

4s²=36

4s=12 

Power Up

100

Evaluate  3²

9

200

Which two are equivalent?

A) 4³

B) 3⁴

C) 4 *4 * 4

D) 3 * 4

A and C

300

Write the expanded form of 5⁴

5 * 5 * 5 * 5

400

Evaluate 2³ + 4 * 3

8 + 12 =20

500

Create an exponent word problem. Example "A single cell divides and doubles every hour. After 3 hours, there are 2³ = 8 cells”

Answers will vary, please share word problem with the class to get points

Relationship Goals

100

In the equation c=2.5t, where c is the cost and t is the number of tacos bought:

Which is the independent variable and which is the dependent variable?

Explain why.

Independent variable: t (number of tacos)

Dependent variable: c (cost)

Explanation: The cost depends on how many tacos you buy. The number of tacos is the input (independent), and the cost changes based on it (dependent).

200

In the equation y = 3x + 10, where y is the total cost and x is the number of items bought:

Which is the independent variable and which is the dependent variable?

Explain why.

Independent variable: x (number of items)

Dependent variable: y (total cost)

Explanation: The total cost depends on the number of items bought. The number of items is the input (independent), and the total cost changes based on it (dependent).

300

In the equation d = 5m, where d is the distance traveled in miles and m is the number of minutes walked:

Which is the independent variable and which is the dependent variable?

Explain why.

Independent variable: m (number of minutes walked)

Dependent variable: d (distance traveled)

Explanation: The distance traveled depends on the number of minutes walked. The number of minutes is the input (independent), and the distance changes based on it (dependent).

400

In the equation v = 4n, where v is the volume of soup in liters and n is the number of servings:

Which is the independent variable and which is the dependent variable?

Explain why.

Independent variable: n (number of servings)

Dependent variable: v (volume of soup)

Explanation: The volume of soup depends on how many servings are made. The number of servings is the input (independent), and the volume changes based on it (dependent).

500

In the equation w = 15h, where w is the total wages earned and h is the number of hours worked:

Which is the independent variable and which is the dependent variable?

Explain why.

Independent variable: h (number of hours worked)

Dependent variable: w (total wages earned)

Explanation: The total wages depend on how many hours are worked. The number of hours is the input (independent), and the wages change based on it (dependent).

Random

100

What is 1/2 + 3/4?

Simplify your answer.

5/4 or 1 1/4

200

What is 0.6 x 0.3?

0.18

300

If there are 8 apples and 12 bananas in a basket, what is the ratio of apples to bananas? Simplify your answer.

2:3

400

Evaluate the expression:

3 × (4 + 2) - 5

13

Explanation: Parentheses first → 3 × 6 = 18 → 18 - 5 = 13.

500

A rectangle has a length of 9 cm and a width of 4 cm. What is its area?

36 cm²

Explanation: Area = length × width = 9 × 4 = 36.