Solving and Writing Equations and Inequalities Review

What is the value of z that makes the equation 6z-12=2z+60 true?

• 18

• 9

• 12

• 6

What value of k makes the equation 8k-32=4k+4 true?

• 9

• -7

• -3

• 3

At the beginning of the year, Ethan has $800 in his savings account and Faith has $1,280 in her savings account.  Each month, Ethan deposits and additional $25 in his account, while Faith withdraws $15 from her account.  Write an equation to show after how many months will Ethan’s account have a greater balance than Faith’s account?

• 800 - 25x  < 1280 - 15x

• 800 + 25x < 1280 - 15x

• 800 + 25x  > 1280 - 15x

• 800 + 25x >  1280 + 15x

• 4.8

• 6

• 2.4

• 3

Sue's lunch account has $25 and she spends $2.50 every day. Troy's lunch account has $50 and she spends $3.25 every day. Write an inequality that shows when Sue's account will be more than Troy's.

• 25 - 2.5d > 50 - 3.25d

• 25 - 2.5d < 50 - 3.25d

• 25 + 2.5d > 50 + 3.25d

• 25 + 2.5d < 50 + 3.25d

7w + 5 = 3w - 15

• 5

• -2

• 2

• -5

• x = 1/3
• x = 12
• x = 6
• x = 1/2

The table shows the cost per month of two cell phone plans. Which inequality can help determine how many phone calls you need to make per month so that Plan 2 is a better option?

• 25 - 0.35n > 37 - 0.25n

• 0.35n + 25 > 0.25n + 37

• 25 - 0.35n < 37 - 0.25n

• 0.35n + 25 < 0.25n + 37

Andrew solved the equation 3x + 5 = 4x + 2.5 and found the answer to be x = 2.5.  Amanda says that he is wrong and the answer is x = 3.5.  which statement below is true? 

• Amanda is correct the answer is        x = 3.5

• Andrew is correct the answer is      x = 2.5 

• neither of the students are correct 

• both students are correct 

A hockey season ticket holder pays $72.48 for all of her tickets plus $6 for a program each game. A second person pays $18.08 for a ticket to each game, but doesn’t buy programs.  Write an equation that shows when the two fans will pay the same amount.
In how many games will they have paid the same amount? 

• 18.08 + 6x = 72.48x;  6 games

• 72.48 + 6x = 18.08; 9 games

• 72.48 + 6x = 18.08x; 9 games

• 72.48 + 6x = 18.08x; 6 games