Unit 3 Expressions Study Guide

3: 1,6,7

MGSE6.EE.2b How many coefficients does the expression below have and what are they? x2 + 6y + 7x + 8

3

MGSE6.EE.2b How many factors does the following expression have? x(4x−7)(6x−8)

4: 3,5,-6,9

MGSE6.EE.2b List the number of terms and the coefficients of the following expression? 3a+5b−6c+9d

4x - 4y

MGSE6.EE.3 Which expression is equivalent to 4x−4y a. 4xy b. 4(x-y) c. x-4y

15a+45

MGSE6.EE.3 Which of the following expressions is equal to 5(3a+9)? a. 15a+15 b. 15a+45 c. 8a+15

5(n+2) - 7n n = ½ = 5n+10-7n = 5(½)+10-7(½) = 2.5+10-3.5 = 12.5 - 3.5 = 9

MGSE6.EE.2c Evaluate 5(n + 2) - 7n, when n = ½.

z²+13z - ⁷/₂ z + 8z z = 4 = 4²+13(4) - ⁷/₂(4)+8(4) = 16+52 -14+32 = 86

MGSE6.EE.2c What is the value of the following when z=4: z²+13z−⁷/₂ z+8z

I = prt =(500)(.04)(3) =(20)(3) =60

MGSE6.EE.2c Given the formula, I=prt, where I =Interest, p = principal, r = rate, and t = time. How much interest does Christian earn on the 500 dollars that he invested at a rate of .04 after 3 years?

12(5w+4z)+4w = 60w+48z+4w =64w+48z

MGSE6.EE.3 Rewrite 12(5w+4z)+4w without parentheses.

c²+8c+20 c = 5 = 5² + 8(5)+20 = 25 + 40 +20 = 85

Jamie used the number 5 to evaluate the following expression. What was the value of the expression when c = 5? c²+8c+20

153

MGSE6.EE.1 Evaluate the following: 12²−(4+5)+18

4³−2² =64 - 4 =60

MGSE6.EE.1 Simplify the expression below. 4³−2²

Multiply 25 by 23

MGSE6.EE.1 Temeka evaluated the expression on the left to generate the one on the right. What did she forget to do? 25 (35 - 23)- 1 = 25 ∙ 35 - 23 - 1

150/h

MGSE6.EE.2a Cindy is moving a pile of 150 rocks by hand to build a rock wall. If h represents the number of rocks that she can carry in one load, which expression represents the total number of loads needed to move the entire pile of rocks?

c. m - 5

MGSE6.EE.2a Which expression represents 5 less than m a. 5 ÷ m b. m ÷ 5 c. m - 5 d. 5 - m

x + 5x + 30

MGSE6.EE.2a William has x baseball cards. Rodney has 5 times as many baseball cards as William. Alonzo has 30 baseball cards. Which expression represents how many cards they have in all? a. x+5x+30 b. 30+5x−x c. x+5+30 d.30−3x+x

a number w decreased by seven

MGSE6.EE.2a Write the word phrase that describes the expression, w - 7.

2(4k+5) + 2(5j+8) = 8k+10+10j+16 = 8k + 10j + 10+16 = 8k + 10j + 26

MGSE6.EE.4 The formula for the perimeter of a rectangle is 𝟐𝒍+𝟐𝒘. If the length of a given rectangle is 4k+5, and the width of the same rectangle is 5j+8. Which expression can represent the perimeter of that rectangle?

GCF: 12 12(x+ 2y)

MGSE6.EE.4 Which expression is equal 12x+24y?

4x+6+x+10+2y = 4x+x+2y+6+10 = 5x+ 6y + 16

MGSE66.EE.4 Which is equivalent to: 4x+6+x+10+2y