Equation test review

Writing an equation

100

9 less than a number b equals 2

b - 9 = 2

200

the product of a number g  and 5 is 30

5g=30

300

A number k increased by 10 is the same as 24

k +10 = 24

400

5 is one-fourth of a number c

5 = 1/4c

500

11.75 is the quotient of a number y and 6.25

11.75 = y/6.25

Subtraction property of equality

100

p + 5 = 8

p + 5 - 5 = 8 - 5

p = 3

200

a + 5.5 = 17.3

a + 5.5 - 5.5 = 17.3 - 5.5

a = 11.8

300

k + 6 = 18

k + 6 - 6 = 18 - 6

k = 12

400

You hand 2 homework pages to your teacher.  Your teacher now has 32 pages to grade.  Find the number of homework pages that your teacher originally had to grade.

2 + h = 32

2 + h -2 = 32 - 2

h = 30

500

Your friend has x pennies.  You have 29 pennies.  You and your friend have a total of 40 pennies.  Write an equation and solve for x

x + 29 = 40

x + 29 - 29 = 40 - 29

x = 11

Addition property of equality

100

k - 1 = 3

k - 1 = 3

k - 1 + 1 = 3 + 1

k = 4

200

15 = r - 6

15 = r - 6

15 + 6 = r - 6 + 6

21 = r

300

is the given value a solution?

g - 9 = 24; g = 35

no

400

You get in an elevator and go up 2 floors and down 8 floors before exiting.  Then you get back in the elevator and go up 4 floors before exiting on the 12th floor.  On what floors did you enter the elevator?

14th  and 8th

500

Your aunt gives you $50 to help buy a reflector telescope that costs $275.95.  After you buy the telescope, you have $25.50 left.  how much money did you have before your aunt gave you $50.00

$251.45

Multiplication property of equality and multiplicative inverse property

100

a/8 = 6

a = 48

200

3p = 18

p=6

300

6 = 2y/3

y = 9

400

On a test you earn 92% of the possible points by correctly answering  five-point questions and 8 two-point questions.  How many points P is the test worth?

50

500

The area of a rectangle is 100 square inches.  The length is 4 times the width.  Find the length and the width of the rectangle.

L = 20 inches

w = 5 inches

Writing equations in two variables

100

Tell whether the ordered pair is a solution:

y = 2x  (3,6)

yes

200

Tell whether the ordered pair is a solution:

y = 4x - 3   (4,12)

no

300

A = 25w

Identify the independent and dependent variable

dependent = A

independent = w

400

A cheese pizza costs $5.  Additional toppings cost $1.50 each.  Write and equation that represents the total cost (in dollars) of a pizza.

P = $5.00 + $1.50t

500

It costs $35 for a membership at Sam's Club.  the monthly fee is $15.  Write an equation that represents the cost (in dollars) of a membership.

S= $35 + $15m