Cluster 9: Algebraic Expressions Review

Cluster 9: Algebraic Expressions Review

• Read & write (translate) them

• Simplify them

• Evaluate them​

We will practice all three today!

What can we do with algebraic expressions?

But first...some basics

Multiple Choice

Name the coefficients in the expression:
2x - 5 + 6c + m

• 2, 6, 1
• 2, 5, 6
• 2, 5
• 2, 6

Multiple Choice

Name the constants in the expression:

3x + 8 + 6n - 4 + f

• 3, 6
• 3, 6, 1
• 8, -4

• 8, 3, 6
• 8

Multiple Choice

Rewrite the expression using exponents: $$4\cdot d\cdot d\cdot3\cdot d$$  

• 4 d³
• 12d²
• 4  _*  3d³
• 12d³

Reading & Writing (Translating) Expressions

​look for key math words that indicate operations

Multiple Choice

w increased by 5

• w - 5
• 5w
• w + 5
• w / 5

Multiple Choice

the sum of m and the product of 6 and n 

• m + 6n
• m - 6 + n
• 6m + n
• m + 6 + n 
• 6m + n

Multiple Choice

How would you calculate the number that is two more than ten?

• 2 x 10

• 2 + 10

• 10 - 2

• 10 + 2

Multiple Choice

Eight less than four times a number

• $$4x-8$$

• $$8-4x$$

• $$4\left(x-8\right)$$

• $$4\left(8-x\right)$$

Evaluating Expressions

​eVALUate = to find the value

Multiple Choice

Evaluate the expression.    Let     c = 3     d = 2
3c + 7d

• 27
• 21
• 29
• 23
• 105

Multiple Choice

Evaluate the expression.        Let    a = 4
5a + 7a - 8

• 48
• 28
• 40
• 35

Multiple Choice

Evaluate the expression.   Let g = 3    h = 9 
4h + 2g + 4

• 42
• 46
• 34
• 58

Multiple Choice

Evaluate the following expression:
t² - t + 1 when t = 5

• 25
• 22
• 23
• 21

Multiple Choice

Evaluate the following expression:

3x² - 5x + 7 when x = 2

• 19

• 12

• -5

• 33

Simplifying Expressions

write an equivalent expression (looks different, means the same thing)​

Simplify = to make easier (simplier)

Combine like terms & get rid of parentheses

​

Multiple Choice

Which expression is equivalent to 8( 7h + 3k + 2 )?

• 56h + 24k + 16

• 56h + 3k + 2

• 7h + 24k + 16

• 64h + 24k + 2

Multiple Choice

Which expression is equivalent to 18n + 6y - 12?

• 2(9n +3y -6)

• 3(6n + 2y - 4)

• 6(3n + y -2)

• My life is hard and full of angst and I am choosing not to answer (don't pick this one)

Multiple Choice

Simplify this expression:

(6 + 5f) + (-7f+12)

• 6f - 8

• 5f - 7f + 6 - 12

• 12f + 18

• -2f - 6

Multiple Choice

Simplify this expression:

(2y - 9) + (6y + 10)

• 27y

• 2y + 6y -10 + 9

• 8y + 1

• 4y + 19

• 8y + 19

Poll

How do you feel about the skills we practiced today?

• Confident: I could teach them to someone else

• Okay: I am getting there but could use some additional practice.

• Help! I'm feeling really stuck.

Open Ended

What do you need from Mrs. J to help you be successful with algebraic expressions? Be as specific as possible, please.