Chapter 6 Review Math 6

Writing Equations

100

The quotient of a number b and 6 is 10.

b/6 = 10

200

The sum of a number c and 2 is 10

c + 2 = 10

300

Your friend has r marbles. You have 15 marbles. You and your friend have a total of 29 marbles. Which equation can you use to find r?

r + 15 = 29

400

17 less than a number t is 2

t - 17 = 2

500

Your friend has s seashells. You have 27 seashells. You and your friend have a total of 44 seashells. Which equation can you use to find s?

s + 27 = 44

Solving Equations in one variable

100

x + 11 = 19

x = 8

200

x - 17 = 2

x = 19

300

2x = 18

x = 9

400

x / 5 = 8

x = 40

500

2x / 3 = 8 

x = 12

Checking the Solution

100

b - 3 = 8 ; b = 12

no, b = 12 is not a solution to this equation

200

3x + 3 = 27; x = 8

yes, x = 8 is a solution equation

300

3/4 x = 15; x = 20

yes, x = 20 is a solution to this equation

400

5x / 9 = 10

x = 18

500

r / 4.5 = 12

r = 54

Solving Equations in two Variables

100

y   =   4x - 5       (6, 19)

yes, (6, 19) is a solution to this equation

200

y = 4x + 1    (5, 1)

no, (5,1) is not a solution to this equation

300

y = 3x + 2, (8, 2)

no, (8,2) is not a solution to this equation

400

y = 2/3x + 1, (3, 3)

yes, (3,3) is a solution

500

y = 4/5 x + 3.75  (4, 7)

no, (4,7) is not a solution to this equation

Word Problems

100

A rectangle has a length of x feet and a width of 22 feet.  The area of the rectangle is 330 square feet.  Write an equation you can use to find the value of x then solve for the length. 

x + 22 = 330 

x = 15

200

Your friend has c cookies. You have 12 cookies.  You and your friend have a total of 51 cookies.  Write an equation that you can use to find c.  Solve for c.

c + 12 = 51 

c = 39

your friend has 39 cookies. 

300

1. The equation y = 10x  + 25 represents the amount y (in dollars) in your savings account after x weeks. Identify the independent & dependent variables and solve for working 6 weeks. 

the dependent variable is y stands for savings account, the independent variable is x stands for weeks. 

After 6 weeks you will have $85 in the savings account. 

400

Bumper cars costs $4.75, Rollercoaster costs $3.50, and tilt-a-whirl costs $4.00 You have a total of $45 and want to go on each ride twice.  Do you have enough money?  If so, how much money do you have left after the rides?  If not, how much money are you short?

Yes you have enough to ride each ride twice. You will have $20.50 leftover 

500

You have $32. How much money do you have left if you buy 2 jellybeans, 3 jolly ranchers, and 3 gummy bears. Jellybeans cost $2.50, jolly ranchers cost $1.75, and gummy bears cost $3.25

You have $12 left