UNIT 3 REVIEW Simplify 42 20 2 52

UNIT 3 REVIEW

Simplify. 42 + 20 ÷ 2 + 52 16 + 20 ÷ 2 + 25 16 + 10 + 25 26 + 25 51

Write an algebraic expression for each verbal expression. a. 8 more than 10 times a number 8 + 10 n b. A number squared n 2 c. The product of 7 and a number 15 – 7 n subtracted from 15 d. Twice the difference of a number and 2(n – 3 2 g 3) e. Gasoline costs $2 per gallon

In the expression 2 y + 4 r + 3 y + 1 a. How many terms are there? 4 b. What are the like terms? 2 y & 3 y c. What is the constant? 1 d. What are the coefficients? 2, 4, & 3 e. Write the expression in simplest form. 5 y + 4 r + 1

Evaluate when c = 5 10(c +3)2 2 10(5 + 3) 10(8) 2 10(64) 640

2 The area of a garden is 5 square feet. How many square feet does the garden contain? a. 5 b. 5. 2 c. 10 d. 25

8(x + 2) + 2 x is called an expressio _______. After the 1 nst step of simplifying, the 8 x + 16 + 2 x new expression is like terms ______. 8 x and 2 x coefficients are ______. variable 8 and 2 are constant _______. x is the _______. 16 is a _______. Word bank: Coefficient Constant Equation Expression Term Like terms Variable

The cost of a Valentine’s Dance can be represented by the expression below, where s is the number of students attending. 45 + 3 s What is the cost for 75 students? 45 + 3(75) 45 + 225 $270

A rental company uses the equation c = 10 + 3 h to determine the cost of renting a scooter, where h represents the number of hours the scooter is rented. Based on this equation, how much would c = 10 + 3(2. 5) they charge for a scooter rented for 2. 5 hours? c = 10 + 7. 5 c = $17. 50

Write an equivalent expression by combining like terms. 2 r – 5 t + 4 r 6 r – 5 t

Use the distributive property to write an equivalent expression with the GCF factored out. a. 20 + 30 x = 10(2 + 3 x) b. 8 y + 4 = 4(2 y + 1) c. 81 – 3 t = 3(27 – t)

Simplify. 2 22 + 3(8 – 3) 2 22 + 3(5) 22 + 3(25) 22 + 75 97

A health club calculates the cost of membership using the expression below, where w represents the number of weeks a person is a member and $600 is a fixed cost. 4 w + 600 What is the cost of a membership that lasts 9 weeks? 4(9) + 600 36 + 600 $636

The expression below represents the monthly cost of a data plan, where m represents the number of minutes used. 0. 86 m + 25 How much would you pay for 40 minutes of data use in a month? 0. 86(40) + 25 34. 40 + 25 $59. 40

Which algebraic expression shows “fifty less than two times a number? ” a. b – 48 b. 50 – 2 x c. 2 x – 50 d. 50 – 2 - x

A cleaning company charges a flat fee of $8 and $30 per hour to clean a home. Use the expression 30 h + 8 , where h represents the number of hours a job takes, to determine the cost of a job that takes 2. 5 hours. 30(2. 5) + 8 75 + 8 $83

Use the distributive property to write an equivalent expression in simplest terms. a. b. c. d. e. 3(y + 5) = 3 y + 15 7(3 n + p) = 21 n + 7 p 9(2 h – 1) = 18 h - 9 4(x + 6) + 2 x = 6 x + 24 5 t + 7(2 t – 3) = 19 t - 21

Select all expressions equivalent to 10(2 + 5 y). a) 20 + 50 y b) 2(10 + 50 y) c) 5(2 + 10 y) d) 5(4 + 10 y) e) 12 + 15 y